Metrics for log((exp(x)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze206.0ms (1.2%)

Memory

59.3MiB live, 59.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	74.9%	0.1%	0%	25%	0%	3
0%	0%	74.9%	0.1%	0%	25%	0%	4
20%	12.5%	50%	0.1%	0%	37.5%	0%	5
20%	12.5%	50%	0.1%	0%	37.5%	0%	6
20.5%	12.5%	48.4%	0.1%	0%	39%	0%	7
20.8%	12.5%	47.6%	0.1%	0%	39.8%	0%	8
21.2%	12.5%	46.4%	0.1%	0%	41%	0%	9
21.4%	12.5%	45.9%	0.1%	0%	41.6%	0%	10
21.7%	12.5%	45.2%	0.1%	0%	42.2%	0%	11
23.2%	13.2%	43.8%	0.1%	0%	42.9%	0%	12

Compiler

Compiled 24 to 18 computations (25% saved)

sample11.2s (65.9%)

Memory

380.8MiB live, 5 091.2MiB allocated

Samples

4.8s	5 965×	5	exit
1.3s	3 166×	1	valid
826.0ms	4 614×	0	valid
547.0ms	1 429×	1	invalid
496.0ms	476×	2	valid
406.0ms	1 892×	1	exit
111.0ms	426×	0	invalid
93.0ms	178×	2	invalid
79.0ms	245×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 6.1s

ival-exp: 2.1s (35.1% of total)

adjust: 973.0ms (15.9% of total)

ival-<=: 874.0ms (14.3% of total)

ival-log: 859.0ms (14% of total)

ival-div: 699.0ms (11.4% of total)

ival-sub: 439.0ms (7.2% of total)

ival-and: 66.0ms (1.1% of total)

exact: 46.0ms (0.8% of total)

ival-assert: 11.0ms (0.2% of total)

Bogosity

explain211.0ms (1.2%)

Memory

123.1MiB live, 167.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
117	-	-	`(-.f64 (exp.f64 x) (exp.f64 y))`
3	-	-	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
0	-	-	`(exp.f64 y)`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(exp.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 y))`	cancellation	117	0
`log.f64`	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`	oflow-rescue	2	0
↳	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`	overflow	2
↳	`(exp.f64 x)`	overflow	2
↳	`(-.f64 (exp.f64 x) (exp.f64 y))`	overflow	2
`log.f64`	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`	uflow-rescue	1	0
↳	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`	underflow	1
↳	`(-.f64 (exp.f64 x) (exp.f64 y))`	underflow	1
↳	`(exp.f64 x)`	underflow	1
↳	`(exp.f64 y)`	underflow	131

Confusion

	Predicted +	Predicted -
+	120	0
-	0	136

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	120	0	0
-	0	0	136

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	136
1	120

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

52.0ms	198×	1	valid
28.0ms	288×	0	valid
10.0ms	26×	2	valid

Compiler

Compiled 66 to 28 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-exp: 36.0ms (59.1% of total)

ival-log: 10.0ms (16.4% of total)

ival-div: 6.0ms (9.8% of total)

adjust: 4.0ms (6.6% of total)

ival-sub: 4.0ms (6.6% of total)

ival-true: 1.0ms (1.6% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess147.0ms (0.9%)

Memory

-147.6MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	46
1	46	46
2	82	46
3	137	46
4	224	46
5	357	46
6	513	46
7	751	46
8	889	46
9	923	46
0	8	8
0	13	8
1	18	8
2	25	8
3	38	8
4	61	8
5	85	8
6	139	8
7	207	8
8	303	8
9	375	8
10	409	8
0	409	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))

Outputs
(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 y))))

Compiler

Compiled 8 to 8 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.0%	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))

Compiler

Compiled 8 to 8 computations (0% saved)

simplify14.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 x)
cost-diff	0	(-.f64 (exp.f64 x) (exp.f64 y))
cost-diff	0	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
cost-diff	0	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	27
1	18	27
2	25	27
3	38	27
4	61	27
5	85	27
6	139	27
7	207	27
8	303	27
9	375	27
10	409	27
0	409	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 y))
(exp.f64 x)
x
(exp.f64 y)
y
#s(literal 2 binary64)

Outputs
(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 y))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 y)))
(-.f64 (exp.f64 x) (exp.f64 y))
(exp.f64 x)
x
(exp.f64 y)
y
#s(literal 2 binary64)

localize43.0ms (0.3%)

Memory

30.2MiB live, 30.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 y)
accuracy	0.0	(exp.f64 x)
accuracy	0.7418720047925155	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
accuracy	27.223411724590463	(-.f64 (exp.f64 x) (exp.f64 y))

Samples

19.0ms	99×	1	valid
11.0ms	144×	0	valid
5.0ms	13×	2	valid

Compiler

Compiled 29 to 10 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-exp: 12.0ms (48.9% of total)

ival-log: 5.0ms (20.4% of total)

ival-div: 3.0ms (12.2% of total)

adjust: 2.0ms (8.1% of total)

ival-sub: 2.0ms (8.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series187.0ms (1.1%)

Memory

64.4MiB live, 97.7MiB allocated

Counts

5 → 36

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 y))
(exp.f64 x)
(exp.f64 y)

Outputs
(log (* 1/2 (- 1 (exp y))))
(+ (log (* 1/2 (- 1 (exp y)))) (/ x (- 1 (exp y))))
(+ (log (* 1/2 (- 1 (exp y)))) (* x (+ (* 1/2 (* x (- (/ 1 (- 1 (exp y))) (/ 1 (pow (- 1 (exp y)) 2))))) (/ 1 (- 1 (exp y))))))
(+ (log (* 1/2 (- 1 (exp y)))) (* x (+ (* x (+ (* 1/6 (* x (- (+ (* 2 (/ 1 (pow (- 1 (exp y)) 3))) (/ 1 (- 1 (exp y)))) (* 3 (/ 1 (pow (- 1 (exp y)) 2)))))) (* 1/2 (- (/ 1 (- 1 (exp y))) (/ 1 (pow (- 1 (exp y)) 2)))))) (/ 1 (- 1 (exp y))))))
(* 1/2 (- 1 (exp y)))
(+ (* 1/2 x) (* 1/2 (- 1 (exp y))))
(+ (* 1/2 (- 1 (exp y))) (* x (+ 1/2 (* 1/4 x))))
(+ (* 1/2 (- 1 (exp y))) (* x (+ 1/2 (* x (+ 1/4 (* 1/12 x))))))
(- 1 (exp y))
(- (+ 1 x) (exp y))
(- (+ 1 (* x (+ 1 (* 1/2 x)))) (exp y))
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (exp y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(log (* 1/2 (- (exp x) (exp y))))
(* 1/2 (- (exp x) (exp y)))
(- (exp x) (exp y))
(exp x)
(log (* 1/2 (- (exp x) 1)))
(+ (log (* 1/2 (- (exp x) 1))) (* -1 (/ y (- (exp x) 1))))
(+ (log (* 1/2 (- (exp x) 1))) (* y (- (* -1/2 (* y (+ (/ 1 (- (exp x) 1)) (/ 1 (pow (- (exp x) 1) 2))))) (/ 1 (- (exp x) 1)))))
(+ (log (* 1/2 (- (exp x) 1))) (* y (- (* y (+ (* -1/2 (+ (/ 1 (- (exp x) 1)) (/ 1 (pow (- (exp x) 1) 2)))) (* -1/6 (* y (+ (* 3 (/ 1 (pow (- (exp x) 1) 2))) (+ (/ 1 (- (exp x) 1)) (* 2 (/ 1 (pow (- (exp x) 1) 3))))))))) (/ 1 (- (exp x) 1)))))
(* 1/2 (- (exp x) 1))
(+ (* -1/2 y) (* 1/2 (- (exp x) 1)))
(+ (* 1/2 (- (exp x) 1)) (* y (- (* -1/4 y) 1/2)))
(+ (* 1/2 (- (exp x) 1)) (* y (- (* y (- (* -1/12 y) 1/4)) 1/2)))
(- (exp x) 1)
(- (+ (exp x) (* -1 y)) 1)
(- (+ (exp x) (* y (- (* -1/2 y) 1))) 1)
(- (+ (exp x) (* y (- (* y (- (* -1/6 y) 1/2)) 1))) 1)
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(exp y)

Calls

6 calls:

Time	Variable		Point	Expression
91.0ms	x	@	-inf	((log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (- (exp x) (exp y)) (exp x) (exp y))
45.0ms	y	@	-inf	((log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (- (exp x) (exp y)) (exp x) (exp y))
29.0ms	x	@	inf	((log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (- (exp x) (exp y)) (exp x) (exp y))
18.0ms	y	@	inf	((log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (- (exp x) (exp y)) (exp x) (exp y))
2.0ms	y	@	0	((log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (- (exp x) (exp y)) (exp x) (exp y))

simplify739.0ms (4.3%)

Memory

-163.9MiB live, 253.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	491
1	380	485
2	962	481
3	3214	472
4	7642	472
0	8547	364

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(log (* 1/2 (- 1 (exp y))))
(+ (log (* 1/2 (- 1 (exp y)))) (/ x (- 1 (exp y))))
(+ (log (* 1/2 (- 1 (exp y)))) (* x (+ (* 1/2 (* x (- (/ 1 (- 1 (exp y))) (/ 1 (pow (- 1 (exp y)) 2))))) (/ 1 (- 1 (exp y))))))
(+ (log (* 1/2 (- 1 (exp y)))) (* x (+ (* x (+ (* 1/6 (* x (- (+ (* 2 (/ 1 (pow (- 1 (exp y)) 3))) (/ 1 (- 1 (exp y)))) (* 3 (/ 1 (pow (- 1 (exp y)) 2)))))) (* 1/2 (- (/ 1 (- 1 (exp y))) (/ 1 (pow (- 1 (exp y)) 2)))))) (/ 1 (- 1 (exp y))))))
(* 1/2 (- 1 (exp y)))
(+ (* 1/2 x) (* 1/2 (- 1 (exp y))))
(+ (* 1/2 (- 1 (exp y))) (* x (+ 1/2 (* 1/4 x))))
(+ (* 1/2 (- 1 (exp y))) (* x (+ 1/2 (* x (+ 1/4 (* 1/12 x))))))
(- 1 (exp y))
(- (+ 1 x) (exp y))
(- (+ 1 (* x (+ 1 (* 1/2 x)))) (exp y))
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (exp y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(log (* 1/2 (- (exp x) (exp y))))
(* 1/2 (- (exp x) (exp y)))
(- (exp x) (exp y))
(exp x)
(log (* 1/2 (- (exp x) 1)))
(+ (log (* 1/2 (- (exp x) 1))) (* -1 (/ y (- (exp x) 1))))
(+ (log (* 1/2 (- (exp x) 1))) (* y (- (* -1/2 (* y (+ (/ 1 (- (exp x) 1)) (/ 1 (pow (- (exp x) 1) 2))))) (/ 1 (- (exp x) 1)))))
(+ (log (* 1/2 (- (exp x) 1))) (* y (- (* y (+ (* -1/2 (+ (/ 1 (- (exp x) 1)) (/ 1 (pow (- (exp x) 1) 2)))) (* -1/6 (* y (+ (* 3 (/ 1 (pow (- (exp x) 1) 2))) (+ (/ 1 (- (exp x) 1)) (* 2 (/ 1 (pow (- (exp x) 1) 3))))))))) (/ 1 (- (exp x) 1)))))
(* 1/2 (- (exp x) 1))
(+ (* -1/2 y) (* 1/2 (- (exp x) 1)))
(+ (* 1/2 (- (exp x) 1)) (* y (- (* -1/4 y) 1/2)))
(+ (* 1/2 (- (exp x) 1)) (* y (- (* y (- (* -1/12 y) 1/4)) 1/2)))
(- (exp x) 1)
(- (+ (exp x) (* -1 y)) 1)
(- (+ (exp x) (* y (- (* -1/2 y) 1))) 1)
(- (+ (exp x) (* y (- (* y (- (* -1/6 y) 1/2)) 1))) 1)
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(exp y)

Outputs
(log (* 1/2 (- 1 (exp y))))
(log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))
(+ (log (* 1/2 (- 1 (exp y)))) (/ x (- 1 (exp y))))
(+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
(+ (log (* 1/2 (- 1 (exp y)))) (* x (+ (* 1/2 (* x (- (/ 1 (- 1 (exp y))) (/ 1 (pow (- 1 (exp y)) 2))))) (/ 1 (- 1 (exp y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 y))) (/.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (expm1.f64 y) (expm1.f64 y)))) x (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
(+ (log (* 1/2 (- 1 (exp y)))) (* x (+ (* x (+ (* 1/6 (* x (- (+ (* 2 (/ 1 (pow (- 1 (exp y)) 3))) (/ 1 (- 1 (exp y)))) (* 3 (/ 1 (pow (- 1 (exp y)) 2)))))) (* 1/2 (- (/ 1 (- 1 (exp y))) (/ 1 (pow (- 1 (exp y)) 2)))))) (/ 1 (- 1 (exp y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 y))) (.f64 x (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (expm1.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 y)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 (expm1.f64 y) (expm1.f64 y)))) x (/.f64 #s(literal -1/2 binary64) (*.f64 (expm1.f64 y) (expm1.f64 y)))))) x (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
(* 1/2 (- 1 (exp y)))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (- 1 (exp y))))
(*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))
(+ (* 1/2 (- 1 (exp y))) (* x (+ 1/2 (* 1/4 x))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))
(+ (* 1/2 (- 1 (exp y))) (* x (+ 1/2 (* x (+ 1/4 (* 1/12 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))
(- 1 (exp y))
(neg.f64 (expm1.f64 y))
(- (+ 1 x) (exp y))
(-.f64 x (expm1.f64 y))
(- (+ 1 (* x (+ 1 (* 1/2 x)))) (exp y))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x (expm1.f64 y)))
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (exp y))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(log (* 1/2 (- (exp x) (exp y))))
(log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 1/2 binary64)))
(* 1/2 (- (exp x) (exp y)))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 1/2 binary64))
(- (exp x) (exp y))
(-.f64 (exp.f64 x) (exp.f64 y))
(exp x)
(exp.f64 x)
(log (* 1/2 (- (exp x) 1)))
(log.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
(+ (log (* 1/2 (- (exp x) 1))) (* -1 (/ y (- (exp x) 1))))
(-.f64 (log.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))) (/.f64 y (expm1.f64 x)))
(+ (log (* 1/2 (- (exp x) 1))) (* y (- (* -1/2 (* y (+ (/ 1 (- (exp x) 1)) (/ 1 (pow (- (exp x) 1) 2))))) (/ 1 (- (exp x) 1)))))
(fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 y (expm1.f64 x))) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) y (log.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(+ (log (* 1/2 (- (exp x) 1))) (* y (- (* y (+ (* -1/2 (+ (/ 1 (- (exp x) 1)) (/ 1 (pow (- (exp x) 1) 2)))) (* -1/6 (* y (+ (* 3 (/ 1 (pow (- (exp x) 1) 2))) (+ (/ 1 (- (exp x) 1)) (* 2 (/ 1 (pow (- (exp x) 1) 3))))))))) (/ 1 (- (exp x) 1)))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) y (/.f64 y (expm1.f64 x))) #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (expm1.f64 x)))) y (/.f64 #s(literal -1 binary64) (expm1.f64 x))) y (log.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(* 1/2 (- (exp x) 1))
(*.f64 (expm1.f64 x) #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 (- (exp x) 1)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp x) 1)) (* y (- (* -1/4 y) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp x) 1)) (* y (- (* y (- (* -1/12 y) 1/4)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) y #s(literal -1/4 binary64)) y #s(literal -1/2 binary64)) y (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
(- (exp x) 1)
(expm1.f64 x)
(- (+ (exp x) (* -1 y)) 1)
(-.f64 (expm1.f64 x) y)
(- (+ (exp x) (* y (- (* -1/2 y) 1))) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y (expm1.f64 x))
(- (+ (exp x) (* y (- (* y (- (* -1/6 y) 1/2)) 1))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y (expm1.f64 x))
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(exp y)
(exp.f64 y)

rewrite634.0ms (3.7%)

Memory

95.9MiB live, 266.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	44	24
2	268	24
3	2681	24
0	8990	24

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 440

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 y))
(exp.f64 x)
(exp.f64 y)

Outputs
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 y)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 y)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 y) (exp.f64 x)))))
(*.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 y) (exp.f64 x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 y)))) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 y)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 y) (exp.f64 x)))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 y) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 y) (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (log.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 y) (exp.f64 x)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 y) (exp.f64 x)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 y) (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 y) (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 y) (exp.f64 x))) #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64)) (*.f64 (log.f64 (-.f64 (exp.f64 y) (exp.f64 x))) (log.f64 #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 y)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 y)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 y)))) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 y)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64)))))))
(neg.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 y) (exp.f64 x))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 y) (exp.f64 x))))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64)))))
(neg.f64 (log.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (exp.f64 x) (*.f64 #s(literal -2 binary64) (exp.f64 y))))))
(neg.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 y) (exp.f64 x)))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 y)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 y)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y)))) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 y) (exp.f64 x)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (exp.f64 x) (exp.f64 y))))
(fma.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 y) (exp.f64 x)))) #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (log.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
(-.f64 (log.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))) #s(literal -1/2 binary64))) (log.f64 (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (log.f64 (neg.f64 (+.f64 (exp.f64 y) (exp.f64 x)))))
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))) #s(literal -1/2 binary64))) (log.f64 (neg.f64 (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(-.f64 (log.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (log.f64 (neg.f64 (+.f64 (exp.f64 y) (exp.f64 x)))))
(-.f64 (log.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (log.f64 (neg.f64 (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64)))))) (log.f64 (neg.f64 (+.f64 (exp.f64 y) (exp.f64 x)))))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64)))))) (log.f64 (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)))) (log.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 y) (exp.f64 x)))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64)))) (log.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 y) (exp.f64 x)))))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (exp.f64 x) (.f64 #s(literal -2 binary64) (exp.f64 y))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))))) (log.f64 (.f64 (+.f64 (exp.f64 y) (exp.f64 x)) #s(literal 2 binary64))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))))) (log.f64 (.f64 (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(-.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
(-.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))) #s(literal 2 binary64))) (log.f64 (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (log.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (log.f64 (neg.f64 (+.f64 (exp.f64 y) (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(-.f64 (log.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)))) (log.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 y) (exp.f64 x))))))
(-.f64 (log.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64)))) (log.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 y) (exp.f64 x))))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) (*.f64 #s(literal -2 binary64) (exp.f64 y))))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 y))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal -2 binary64))) (log.f64 (.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 y)))))
(-.f64 (log.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (exp.f64 y)))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (neg.f64 (exp.f64 y))))) (log.f64 (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 y))) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1 binary64)))) (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 y)))))
(-.f64 (log.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 y)))) (log.f64 (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))))
(-.f64 (log.f64 (-.f64 (.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 y))))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (-.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal 2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 y)))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 y) (exp.f64 x)))) (log.f64 #s(literal -2 binary64)))
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(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (exp.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (pow.f64 (exp.f64 y) #s(literal 9 binary64))) (.f64 (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (exp.f64 (.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 (exp.f64 y) #s(literal 6 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal -1 binary64))))
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(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))) (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(neg.f64 (-.f64 (exp.f64 y) (exp.f64 x)))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y))) (neg.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y)) (-.f64 (*.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64)))) (fma.f64 (exp.f64 y) (-.f64 (exp.f64 y) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (+.f64 (exp.f64 y) (exp.f64 x)))))
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(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (exp.f64 y) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
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(fma.f64 (exp.f64 y) #s(literal -1 binary64) (exp.f64 x))
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(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 y) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (+.f64 (exp.f64 y) (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 y) (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 y)))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 y)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 y) (exp.f64 x))) (neg.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (+.f64 (exp.f64 y) (exp.f64 x)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 y) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (exp.f64 y)) (exp.f64 x))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 y)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 x)
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y)))
(*.f64 #s(literal 1 binary64) (exp.f64 y))
(pow.f64 (exp.f64 y) #s(literal 1 binary64))
(neg.f64 (neg.f64 (exp.f64 y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 y)))
(exp.f64 (*.f64 y #s(literal 1 binary64)))
(exp.f64 y)

eval164.0ms (1%)

Memory: 77.2MiB live, 129.5MiB allocated
Compiler: Compiled 10 638 to 1 636 computations (84.6% saved)

prune56.0ms (0.3%)

Memory

-13.6MiB live, 44.7MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	467	9	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	468	9	477

Accuracy

100.0%

Counts

477 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(-.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64))) (log.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 y) (exp.f64 x)))))))
▶	97.1%	(log.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64)))
	56.0%	(log.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 x)) #s(literal -1/2 binary64)))
▶	80.6%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
	80.4%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
	51.5%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
▶	96.2%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))
▶	34.2%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
▶	54.4%	#s(approx (log (/ (- (exp x) (exp y)) 2)) (+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))

Compiler

Compiled 334 to 272 computations (18.6% saved)

simplify404.0ms (2.4%)

Memory

117.6MiB live, 220.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x (neg.f64 (expm1.f64 y)))
cost-diff	0	#s(approx (log (/ (- (exp x) (exp y)) 2)) (+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
cost-diff	1	(fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))
cost-diff	1	(+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
cost-diff	0	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
cost-diff	1	(fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 x (expm1.f64 y))
cost-diff	0	(*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64)))
cost-diff	0	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))
cost-diff	0	(expm1.f64 x)
cost-diff	0	(*.f64 (expm1.f64 x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
cost-diff	0	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
cost-diff	0	(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))
cost-diff	0	#s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y))))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64))
cost-diff	0	(log.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	309
0	69	309
1	114	307
2	234	307
3	543	299
4	1406	299
5	2681	299
6	4411	299
7	6180	299
8	7364	299
0	8028	299

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64)))
(/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))
(*.f64 x x)
x
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(-.f64 x (expm1.f64 y))
(expm1.f64 y)
y
#s(literal 2 binary64)
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
#s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
(*.f64 (expm1.f64 x) #s(literal 1/2 binary64))
(expm1.f64 x)
x
#s(literal 1/2 binary64)
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))
#s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))
(-.f64 x (expm1.f64 y))
x
(expm1.f64 y)
y
#s(literal 1/2 binary64)
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64))
#s(literal 1/12 binary64)
x
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(exp.f64 y)
y
#s(approx (log (/ (- (exp x) (exp y)) 2)) (+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
(/.f64 x (neg.f64 (expm1.f64 y)))
x
(neg.f64 (expm1.f64 y))
(expm1.f64 y)
y
(log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(exp.f64 y)
#s(literal 1/2 binary64)

Outputs
(log.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64)))
(log.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64)))
(/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y))))
#s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))
(*.f64 x x)
x
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(-.f64 x (expm1.f64 y))
(expm1.f64 y)
y
#s(literal 2 binary64)
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
#s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
(*.f64 (expm1.f64 x) #s(literal 1/2 binary64))
(expm1.f64 x)
x
#s(literal 1/2 binary64)
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))
#s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))
(-.f64 x (expm1.f64 y))
x
(expm1.f64 y)
y
#s(literal 1/2 binary64)
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) (expm1.f64 y)))))
#s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
#s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) (expm1.f64 y))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) (expm1.f64 y)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64))
#s(literal 1/12 binary64)
x
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (expm1.f64 y))
#s(literal -1/2 binary64)
(exp.f64 y)
y
#s(approx (log (/ (- (exp x) (exp y)) 2)) (+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
#s(approx (log (/ (- (exp x) (exp y)) 2)) (-.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (expm1.f64 y))) (/.f64 x (expm1.f64 y))))
(+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
(-.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (expm1.f64 y))) (/.f64 x (expm1.f64 y)))
(/.f64 x (neg.f64 (expm1.f64 y)))
(/.f64 (neg.f64 x) (expm1.f64 y))
x
(neg.f64 (expm1.f64 y))
(expm1.f64 y)
y
(log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))
(log.f64 (*.f64 #s(literal -1/2 binary64) (expm1.f64 y)))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (expm1.f64 y))
#s(literal -1/2 binary64)
(exp.f64 y)
#s(literal 1/2 binary64)

localize203.0ms (1.2%)

Memory

13.3MiB live, 81.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 y)
accuracy	0.01953125	(+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
accuracy	11.035948710867332	#s(approx (log (/ (- (exp x) (exp y)) 2)) (+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
accuracy	20.727518551274073	(fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))
accuracy	0.0078125	(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64))
accuracy	0.7418720047925155	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
accuracy	1.5540261278373124	#s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
accuracy	20.727518551274073	(fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))
accuracy	0.0	(expm1.f64 y)
accuracy	0.7418720047925155	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))
accuracy	2.1031002128708014	#s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 (expm1.f64 x) #s(literal 1/2 binary64))
accuracy	0.0	(expm1.f64 x)
accuracy	0.7418720047925155	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
accuracy	42.77345148100307	#s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
accuracy	0.0078125	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	0.01953125	(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))
accuracy	0.7418720047925155	(log.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64)))
accuracy	1.554019714232801	#s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y))))

Samples

75.0ms	80×	1	valid
40.0ms	136×	0	valid
10.0ms	33×	0	invalid
7.0ms	7×	2	valid

Compiler

Compiled 243 to 37 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-expm1: 21.0ms (20% of total)

ival-exp: 20.0ms (19% of total)

ival-mult: 16.0ms (15.2% of total)

ival-add: 11.0ms (10.5% of total)

ival-log: 11.0ms (10.5% of total)

const: 8.0ms (7.6% of total)

adjust: 7.0ms (6.7% of total)

ival-div: 5.0ms (4.8% of total)

ival-sub: 4.0ms (3.8% of total)

ival-neg: 2.0ms (1.9% of total)

exact: 1.0ms (1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series88.0ms (0.5%)

Memory

-37.7MiB live, 40.5MiB allocated

Counts

23 → 104

Calls

Call 1

Inputs
(log.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64)))
(/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
#s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
(*.f64 (expm1.f64 x) #s(literal 1/2 binary64))
(expm1.f64 x)
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))
#s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))
(-.f64 x (expm1.f64 y))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))
(+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
#s(approx (log (/ (- (exp x) (exp y)) 2)) (+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
(/.f64 x (neg.f64 (expm1.f64 y)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(expm1.f64 y)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64))
(exp.f64 y)

Outputs
(log (* 1/2 (- 1 (exp y))))
(+ (log (* 1/2 (- 1 (exp y)))) (/ x (- 1 (exp y))))
(+ (log (* 1/2 (- 1 (exp y)))) (* x (+ (* 1/2 (* x (- (/ 1 (- 1 (exp y))) (/ 1 (pow (- 1 (exp y)) 2))))) (/ 1 (- 1 (exp y))))))
(+ (log (* 1/2 (- 1 (exp y)))) (* x (+ (* x (+ (* 1/6 (* x (- (+ (* 2 (/ 1 (pow (- 1 (exp y)) 3))) (/ 1 (- 1 (exp y)))) (* 3 (/ 1 (pow (- 1 (exp y)) 2)))))) (* 1/2 (- (/ 1 (- 1 (exp y))) (/ 1 (pow (- 1 (exp y)) 2)))))) (/ 1 (- 1 (exp y))))))
(* 1/2 (- 1 (exp y)))
(+ (* 1/2 x) (* 1/2 (- 1 (exp y))))
(+ (* 1/2 (- 1 (exp y))) (* x (+ 1/2 (* 1/4 x))))
(+ (* 1/2 (- 1 (exp y))) (* x (+ 1/2 (* x (+ 1/4 (* 1/12 x))))))
(- 1 (exp y))
(- (+ 1 x) (exp y))
(- (+ 1 (* x (+ 1 (* 1/2 x)))) (exp y))
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (exp y))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/12 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/12 (* 1/48 x)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(+ 1/2 (* -1/2 (exp y)))
(+ 1/2 (+ (* -1/2 (exp y)) (* 1/2 x)))
(+ 1/2 (+ (* -1/2 (exp y)) (* x (+ 1/2 (* 1/4 x)))))
(+ 1/2 (+ (* -1/2 (exp y)) (* x (+ 1/2 (* x (+ 1/4 (* 1/12 x)))))))
(log (+ 1/2 (* -1/2 (exp y))))
(+ (log (+ 1/2 (* -1/2 (exp y)))) (/ x (- 1 (exp y))))
(/ x (- 1 (exp y)))
1/2
(+ 1/2 (* 1/6 x))
1/4
(+ 1/4 (* 1/12 x))
(log (* 1/2 (- (exp x) (exp y))))
(* 1/2 (- (exp x) (exp y)))
(- (exp x) (exp y))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (/ (exp y) (pow x 3))))
(* 1/2 (- (exp x) 1))
(- (exp x) 1)
(* x (+ 1/2 (* 1/2 (/ (- 1 (exp y)) x))))
(* x (- (+ 1 (/ 1 x)) (/ (exp y) x)))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (* 1/4 (/ 1 x))))
(* (pow x 3) (+ 1/12 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))))
(* (pow x 3) (+ 1/12 (+ (* -1/2 (/ (exp y) (pow x 3))) (+ (/ 1/2 (pow x 2)) (+ (* 1/4 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))))
(* x (+ (/ 1 (- 1 (exp y))) (/ (log (+ 1/2 (* -1/2 (exp y)))) x)))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/12 x)
(* x (+ 1/12 (* 1/4 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- 1 (exp y)) x)) 1) x))) x)) 1/6)))
(* -1 (* x (- (* -1/2 (/ (- 1 (exp y)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- 1 (exp y)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/12)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/2 (exp y))) x)) 1/2) x))) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (log (+ 1/2 (* -1/2 (exp y)))) x)) (/ 1 (- 1 (exp y))))))
(log (* 1/2 (- (exp x) 1)))
(+ (log (* 1/2 (- (exp x) 1))) (* -1 (/ y (- (exp x) 1))))
(+ (log (* 1/2 (- (exp x) 1))) (* y (- (* -1/2 (* y (+ (/ 1 (- (exp x) 1)) (/ 1 (pow (- (exp x) 1) 2))))) (/ 1 (- (exp x) 1)))))
(+ (log (* 1/2 (- (exp x) 1))) (* y (- (* y (+ (* -1/2 (+ (/ 1 (- (exp x) 1)) (/ 1 (pow (- (exp x) 1) 2)))) (* -1/6 (* y (+ (* 3 (/ 1 (pow (- (exp x) 1) 2))) (+ (/ 1 (- (exp x) 1)) (* 2 (/ 1 (pow (- (exp x) 1) 3))))))))) (/ 1 (- (exp x) 1)))))
(+ (* -1/2 y) (* 1/2 (- (exp x) 1)))
(+ (* 1/2 (- (exp x) 1)) (* y (- (* -1/4 y) 1/2)))
(+ (* 1/2 (- (exp x) 1)) (* y (- (* y (- (* -1/12 y) 1/4)) 1/2)))
(- (+ (exp x) (* -1 y)) 1)
(- (+ (exp x) (* y (- (* -1/2 y) 1))) 1)
(- (+ (exp x) (* y (- (* y (- (* -1/6 y) 1/2)) 1))) 1)
(+ x (* (pow x 2) (+ 1/2 (* 1/6 x))))
(+ x (+ (* -1 y) (* (pow x 2) (+ 1/2 (* 1/6 x)))))
(+ x (+ (* y (- (* -1/2 y) 1)) (* (pow x 2) (+ 1/2 (* 1/6 x)))))
(+ x (+ (* y (- (* y (- (* -1/6 y) 1/2)) 1)) (* (pow x 2) (+ 1/2 (* 1/6 x)))))
(+ (* -1/2 y) (* 1/2 x))
(+ (* 1/2 x) (* y (- (* -1/4 y) 1/2)))
(+ (* 1/2 x) (* y (- (* y (- (* -1/12 y) 1/4)) 1/2)))
(+ x (* -1 y))
(+ x (* y (- (* -1/2 y) 1)))
(+ x (* y (- (* y (- (* -1/6 y) 1/2)) 1)))
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/12 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/48 y) 1/12)) 1/4)) 1/2))
(+ (* -1/2 y) (* x (+ 1/2 (* x (+ 1/4 (* 1/12 x))))))
(+ (* x (+ 1/2 (* x (+ 1/4 (* 1/12 x))))) (* y (- (* -1/4 y) 1/2)))
(+ (* x (+ 1/2 (* x (+ 1/4 (* 1/12 x))))) (* y (- (* y (- (* -1/12 y) 1/4)) 1/2)))
(* -1 (/ x y))
(/ (+ (* -1 x) (* y (- (+ (log -1/2) (log y)) (* -1/2 x)))) y)
(/ (+ (* -1 x) (* y (- (+ (log -1/2) (+ (log y) (* y (- 1/2 (+ (* -1/6 x) (* 1/4 x)))))) (* -1/2 x)))) y)
(/ (+ (* -1 x) (* y (- (+ (log -1/2) (+ (log y) (* y (- (+ 1/2 (* y (- 1/24 (+ (* -1/2 (+ (* -1/6 x) (* 1/4 x))) (+ (* -1/24 x) (* 1/12 x)))))) (+ (* -1/6 x) (* 1/4 x)))))) (* -1/2 x)))) y)
(/ (+ (* -1 x) (* 1/2 (* x y))) y)
(/ (+ (* -1 x) (* y (- (* -1 (* y (+ (* -1/6 x) (* 1/4 x)))) (* -1/2 x)))) y)
(/ (+ (* -1 x) (* y (- (* y (- (* -1 (* y (+ (* -1/2 (+ (* -1/6 x) (* 1/4 x))) (+ (* -1/24 x) (* 1/12 x))))) (+ (* -1/6 x) (* 1/4 x)))) (* -1/2 x)))) y)
y
(* y (+ 1 (* 1/2 y)))
(* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(* y (+ 1 (* y (+ 1/2 (* y (+ 1/6 (* 1/24 y)))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(- (+ 1 (+ x (* (pow x 2) (+ 1/2 (* 1/6 x))))) (exp y))
(* 1/2 (- (+ 1 x) (exp y)))
(- (exp y) 1)
(exp y)

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	y	@	inf	((log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (- (exp x) (exp y)) (+ (* (* x x) (+ (* 1/6 x) 1/2)) (- x (- (exp y) 1))) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (* (- (exp x) 1) 1/2) (- (exp x) 1) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (* (- x (- (exp y) 1)) 1/2) (- x (- (exp y) 1)) (+ (* -1/2 (exp y)) 1/2) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (log (/ (- (exp x) (exp y)) 2)) (/ x (neg (- (exp y) 1))) (+ (* 1/6 x) 1/2) (- (exp y) 1) (+ (* 1/12 x) 1/4) (exp y))
24.0ms	y	@	-inf	((log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (- (exp x) (exp y)) (+ (* (* x x) (+ (* 1/6 x) 1/2)) (- x (- (exp y) 1))) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (* (- (exp x) 1) 1/2) (- (exp x) 1) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (* (- x (- (exp y) 1)) 1/2) (- x (- (exp y) 1)) (+ (* -1/2 (exp y)) 1/2) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (log (/ (- (exp x) (exp y)) 2)) (/ x (neg (- (exp y) 1))) (+ (* 1/6 x) 1/2) (- (exp y) 1) (+ (* 1/12 x) 1/4) (exp y))
20.0ms	x	@	-inf	((log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (- (exp x) (exp y)) (+ (* (* x x) (+ (* 1/6 x) 1/2)) (- x (- (exp y) 1))) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (* (- (exp x) 1) 1/2) (- (exp x) 1) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (* (- x (- (exp y) 1)) 1/2) (- x (- (exp y) 1)) (+ (* -1/2 (exp y)) 1/2) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (log (/ (- (exp x) (exp y)) 2)) (/ x (neg (- (exp y) 1))) (+ (* 1/6 x) 1/2) (- (exp y) 1) (+ (* 1/12 x) 1/4) (exp y))
11.0ms	x	@	inf	((log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (- (exp x) (exp y)) (+ (* (* x x) (+ (* 1/6 x) 1/2)) (- x (- (exp y) 1))) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (* (- (exp x) 1) 1/2) (- (exp x) 1) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (* (- x (- (exp y) 1)) 1/2) (- x (- (exp y) 1)) (+ (* -1/2 (exp y)) 1/2) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (log (/ (- (exp x) (exp y)) 2)) (/ x (neg (- (exp y) 1))) (+ (* 1/6 x) 1/2) (- (exp y) 1) (+ (* 1/12 x) 1/4) (exp y))
6.0ms	x	@	0	((log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (- (exp x) (exp y)) (+ (* (* x x) (+ (* 1/6 x) 1/2)) (- x (- (exp y) 1))) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (* (- (exp x) 1) 1/2) (- (exp x) 1) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (* (- x (- (exp y) 1)) 1/2) (- x (- (exp y) 1)) (+ (* -1/2 (exp y)) 1/2) (log (/ (- (exp x) (exp y)) 2)) (/ (- (exp x) (exp y)) 2) (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (log (/ (- (exp x) (exp y)) 2)) (/ x (neg (- (exp y) 1))) (+ (* 1/6 x) 1/2) (- (exp y) 1) (+ (* 1/12 x) 1/4) (exp y))

simplify189.0ms (1.1%)

Memory

53.1MiB live, 53.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	344	1334
1	1011	1313
2	3034	1294
0	8357	1096

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 102

Calls

Call 1

Inputs
(log (* 1/2 (- 1 (exp y))))
(+ (log (* 1/2 (- 1 (exp y)))) (/ x (- 1 (exp y))))
(+ (log (* 1/2 (- 1 (exp y)))) (* x (+ (* 1/2 (* x (- (/ 1 (- 1 (exp y))) (/ 1 (pow (- 1 (exp y)) 2))))) (/ 1 (- 1 (exp y))))))
(+ (log (* 1/2 (- 1 (exp y)))) (* x (+ (* x (+ (* 1/6 (* x (- (+ (* 2 (/ 1 (pow (- 1 (exp y)) 3))) (/ 1 (- 1 (exp y)))) (* 3 (/ 1 (pow (- 1 (exp y)) 2)))))) (* 1/2 (- (/ 1 (- 1 (exp y))) (/ 1 (pow (- 1 (exp y)) 2)))))) (/ 1 (- 1 (exp y))))))
(* 1/2 (- 1 (exp y)))
(+ (* 1/2 x) (* 1/2 (- 1 (exp y))))
(+ (* 1/2 (- 1 (exp y))) (* x (+ 1/2 (* 1/4 x))))
(+ (* 1/2 (- 1 (exp y))) (* x (+ 1/2 (* x (+ 1/4 (* 1/12 x))))))
(- 1 (exp y))
(- (+ 1 x) (exp y))
(- (+ 1 (* x (+ 1 (* 1/2 x)))) (exp y))
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (exp y))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/12 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/12 (* 1/48 x)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(+ 1/2 (* -1/2 (exp y)))
(+ 1/2 (+ (* -1/2 (exp y)) (* 1/2 x)))
(+ 1/2 (+ (* -1/2 (exp y)) (* x (+ 1/2 (* 1/4 x)))))
(+ 1/2 (+ (* -1/2 (exp y)) (* x (+ 1/2 (* x (+ 1/4 (* 1/12 x)))))))
(log (+ 1/2 (* -1/2 (exp y))))
(+ (log (+ 1/2 (* -1/2 (exp y)))) (/ x (- 1 (exp y))))
(/ x (- 1 (exp y)))
1/2
(+ 1/2 (* 1/6 x))
1/4
(+ 1/4 (* 1/12 x))
(log (* 1/2 (- (exp x) (exp y))))
(* 1/2 (- (exp x) (exp y)))
(- (exp x) (exp y))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (/ (exp y) (pow x 3))))
(* 1/2 (- (exp x) 1))
(- (exp x) 1)
(* x (+ 1/2 (* 1/2 (/ (- 1 (exp y)) x))))
(* x (- (+ 1 (/ 1 x)) (/ (exp y) x)))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (* 1/4 (/ 1 x))))
(* (pow x 3) (+ 1/12 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))))
(* (pow x 3) (+ 1/12 (+ (* -1/2 (/ (exp y) (pow x 3))) (+ (/ 1/2 (pow x 2)) (+ (* 1/4 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))))
(* x (+ (/ 1 (- 1 (exp y))) (/ (log (+ 1/2 (* -1/2 (exp y)))) x)))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/12 x)
(* x (+ 1/12 (* 1/4 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- 1 (exp y)) x)) 1) x))) x)) 1/6)))
(* -1 (* x (- (* -1/2 (/ (- 1 (exp y)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- 1 (exp y)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/12)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/2 (exp y))) x)) 1/2) x))) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (log (+ 1/2 (* -1/2 (exp y)))) x)) (/ 1 (- 1 (exp y))))))
(log (* 1/2 (- (exp x) 1)))
(+ (log (* 1/2 (- (exp x) 1))) (* -1 (/ y (- (exp x) 1))))
(+ (log (* 1/2 (- (exp x) 1))) (* y (- (* -1/2 (* y (+ (/ 1 (- (exp x) 1)) (/ 1 (pow (- (exp x) 1) 2))))) (/ 1 (- (exp x) 1)))))
(+ (log (* 1/2 (- (exp x) 1))) (* y (- (* y (+ (* -1/2 (+ (/ 1 (- (exp x) 1)) (/ 1 (pow (- (exp x) 1) 2)))) (* -1/6 (* y (+ (* 3 (/ 1 (pow (- (exp x) 1) 2))) (+ (/ 1 (- (exp x) 1)) (* 2 (/ 1 (pow (- (exp x) 1) 3))))))))) (/ 1 (- (exp x) 1)))))
(+ (* -1/2 y) (* 1/2 (- (exp x) 1)))
(+ (* 1/2 (- (exp x) 1)) (* y (- (* -1/4 y) 1/2)))
(+ (* 1/2 (- (exp x) 1)) (* y (- (* y (- (* -1/12 y) 1/4)) 1/2)))
(- (+ (exp x) (* -1 y)) 1)
(- (+ (exp x) (* y (- (* -1/2 y) 1))) 1)
(- (+ (exp x) (* y (- (* y (- (* -1/6 y) 1/2)) 1))) 1)
(+ x (* (pow x 2) (+ 1/2 (* 1/6 x))))
(+ x (+ (* -1 y) (* (pow x 2) (+ 1/2 (* 1/6 x)))))
(+ x (+ (* y (- (* -1/2 y) 1)) (* (pow x 2) (+ 1/2 (* 1/6 x)))))
(+ x (+ (* y (- (* y (- (* -1/6 y) 1/2)) 1)) (* (pow x 2) (+ 1/2 (* 1/6 x)))))
(+ (* -1/2 y) (* 1/2 x))
(+ (* 1/2 x) (* y (- (* -1/4 y) 1/2)))
(+ (* 1/2 x) (* y (- (* y (- (* -1/12 y) 1/4)) 1/2)))
(+ x (* -1 y))
(+ x (* y (- (* -1/2 y) 1)))
(+ x (* y (- (* y (- (* -1/6 y) 1/2)) 1)))
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/12 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/48 y) 1/12)) 1/4)) 1/2))
(+ (* -1/2 y) (* x (+ 1/2 (* x (+ 1/4 (* 1/12 x))))))
(+ (* x (+ 1/2 (* x (+ 1/4 (* 1/12 x))))) (* y (- (* -1/4 y) 1/2)))
(+ (* x (+ 1/2 (* x (+ 1/4 (* 1/12 x))))) (* y (- (* y (- (* -1/12 y) 1/4)) 1/2)))
(* -1 (/ x y))
(/ (+ (* -1 x) (* y (- (+ (log -1/2) (log y)) (* -1/2 x)))) y)
(/ (+ (* -1 x) (* y (- (+ (log -1/2) (+ (log y) (* y (- 1/2 (+ (* -1/6 x) (* 1/4 x)))))) (* -1/2 x)))) y)
(/ (+ (* -1 x) (* y (- (+ (log -1/2) (+ (log y) (* y (- (+ 1/2 (* y (- 1/24 (+ (* -1/2 (+ (* -1/6 x) (* 1/4 x))) (+ (* -1/24 x) (* 1/12 x)))))) (+ (* -1/6 x) (* 1/4 x)))))) (* -1/2 x)))) y)
(/ (+ (* -1 x) (* 1/2 (* x y))) y)
(/ (+ (* -1 x) (* y (- (* -1 (* y (+ (* -1/6 x) (* 1/4 x)))) (* -1/2 x)))) y)
(/ (+ (* -1 x) (* y (- (* y (- (* -1 (* y (+ (* -1/2 (+ (* -1/6 x) (* 1/4 x))) (+ (* -1/24 x) (* 1/12 x))))) (+ (* -1/6 x) (* 1/4 x)))) (* -1/2 x)))) y)
y
(* y (+ 1 (* 1/2 y)))
(* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(* y (+ 1 (* y (+ 1/2 (* y (+ 1/6 (* 1/24 y)))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(- (+ 1 (+ x (* (pow x 2) (+ 1/2 (* 1/6 x))))) (exp y))
(* 1/2 (- (+ 1 x) (exp y)))
(- (exp y) 1)
(exp y)

Outputs
(log (* 1/2 (- 1 (exp y))))
(log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 1/2 binary64)))
(+ (log (* 1/2 (- 1 (exp y)))) (/ x (- 1 (exp y))))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (exp.f64 y))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 1/2 binary64))))
(+ (log (* 1/2 (- 1 (exp y)))) (* x (+ (* 1/2 (* x (- (/ 1 (- 1 (exp y))) (/ 1 (pow (- 1 (exp y)) 2))))) (/ 1 (- 1 (exp y))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 2 binary64))) x (/.f64 x (-.f64 #s(literal 1 binary64) (exp.f64 y)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 y)))) x (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 1/2 binary64))))
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(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))
(* 1/2 (- (+ 1 x) (exp y)))
(*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))
(- (exp y) 1)
(expm1.f64 y)
(exp y)
(exp.f64 y)

rewrite214.0ms (1.3%)

Memory

-9.6MiB live, 67.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	255
0	69	255
1	265	253
2	2141	253
0	8330	253

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 622

Calls

Call 1

Inputs
(log.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64)))
(/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
#s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
(*.f64 (expm1.f64 x) #s(literal 1/2 binary64))
(expm1.f64 x)
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))
#s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))
(-.f64 x (expm1.f64 y))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))
(+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
#s(approx (log (/ (- (exp x) (exp y)) 2)) (+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
(/.f64 x (neg.f64 (expm1.f64 y)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(expm1.f64 y)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64))
(exp.f64 y)

Outputs
(.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) (log.f64 #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 2 binary64)) (log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) (log.f64 #s(literal 2 binary64)))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))))))
(-.f64 (log.f64 (neg.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))))) (log.f64 #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))))))
(-.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))))
(+.f64 (log.f64 (neg.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))))) (log.f64 #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 1/2 binary64))))
(+.f64 (log.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) (log.f64 #s(literal 1/2 binary64)))
(log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 1/2 binary64)))
(.f64 (neg.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 1/2 binary64)))
(.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))))))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))))
(/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))))) #s(literal -1 binary64)))
#s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y))))
(.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 x (expm1.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (-.f64 x (expm1.f64 y))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (expm1.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x (expm1.f64 y)) (-.f64 (-.f64 x (expm1.f64 y)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (-.f64 x (expm1.f64 y))) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 x (expm1.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x (expm1.f64 y)) (-.f64 (-.f64 x (expm1.f64 y)) (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (expm1.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x) x) #s(literal 2 binary64)) (pow.f64 (expm1.f64 y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x) x) (expm1.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (expm1.f64 y)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 (-.f64 x (expm1.f64 y)) (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 #s(literal 1/12 binary64) x))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(.f64 (expm1.f64 (.f64 y #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 y)))
(.f64 (expm1.f64 (.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (expm1.f64 y))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 y)) (expm1.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y))) (expm1.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 y #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 y))) (+.f64 #s(literal 1 binary64) (exp.f64 y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y)))) (.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y))) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 y))))
(/.f64 (neg.f64 (expm1.f64 (.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 y) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y)))))
(/.f64 (expm1.f64 (*.f64 y #s(literal 2 binary64))) (-.f64 (exp.f64 y) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 y)) (expm1.f64 (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y))) (expm1.f64 (*.f64 y #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (.f64 y #s(literal 3 binary64))) (fma.f64 (exp.f64 y) (exp.f64 y) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 y) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 y #s(literal 3 binary64))) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 y)) (expm1.f64 (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y))) (expm1.f64 (*.f64 y #s(literal 3 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 y)))
(fma.f64 #s(literal 1 binary64) (exp.f64 y) #s(literal -1 binary64))
(fma.f64 (exp.f64 y) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 y)
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (-.f64 (exp.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 y) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (exp.f64 y) (exp.f64 y) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 y) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 y) (exp.f64 y) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 y) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y)))) (pow.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 y)))
(-.f64 (exp.f64 y) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 y))
(+.f64 (exp.f64 y) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) #s(literal -1/16 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)) (pow.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/48 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/16 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/48 binary64)))) (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/16 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/48 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/144 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64))) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/144 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (*.f64 x #s(literal 1/48 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/48 binary64))))))
(/.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/48 binary64)))) (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (*.f64 x #s(literal 1/48 binary64)))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/48 binary64)))) (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))
(-.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x))) (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1 binary64) (exp.f64 y))
(*.f64 (exp.f64 y) #s(literal 1 binary64))
(exp.f64 y)

eval184.0ms (1.1%)

Memory: -93.4MiB live, 100.1MiB allocated
Compiler: Compiled 37 177 to 4 392 computations (88.2% saved)

prune30.0ms (0.2%)

Memory

40.1MiB live, 40.1MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	856	17	873
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	860	22	882

Accuracy

100.0%

Counts

882 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.5%	(log.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(approx (- x (- (exp y) 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 y)) x) x x)))) #s(literal 2 binary64)))
	56.0%	(log.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 x)) #s(literal -1/2 binary64)))
	97.1%	(log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 1/2 binary64)))
✓	80.6%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
	80.4%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/12 x) 1/4) #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
	51.5%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
	34.2%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
✓	96.2%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))
	45.9%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 (-.f64 x #s(approx (- (exp y) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))) #s(literal 1/2 binary64))))
✓	34.2%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
	46.4%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
	45.8%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
	46.6%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))
	10.2%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))
	33.0%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/12 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
	33.0%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
	32.9%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))))
	32.5%	(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))
	54.4%	#s(approx (log (/ (- (exp x) (exp y)) 2)) (-.f64 (log.f64 (fma.f64 (exp.f64 y) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 x (expm1.f64 y))))
	18.5%	#s(approx (log (/ (- (exp x) (exp y)) 2)) (+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 #s(approx (+ (* -1/2 (exp y)) 1/2) (*.f64 #s(literal -1/2 binary64) y)))))
	53.2%	#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (fma.f64 (/.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (exp.f64 y))))))
	3.7%	#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))

Compiler

Compiled 1 148 to 602 computations (47.6% saved)

regimes36.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/12 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 (-.f64 x #s(approx (- (exp y) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/12 x) 1/4) #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
#s(approx (log (/ (- (exp x) (exp y)) 2)) (+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 #s(approx (+ (* -1/2 (exp y)) 1/2) (*.f64 #s(literal -1/2 binary64) y)))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
(log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 1/2 binary64)))
(log.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64)))
(log.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(approx (- x (- (exp y) 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 y)) x) x x)))) #s(literal 2 binary64)))
(log.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 x)) #s(literal -1/2 binary64)))
(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
#s(approx (log (/ (- (exp x) (exp y)) 2)) (-.f64 (log.f64 (fma.f64 (exp.f64 y) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 x (expm1.f64 y))))
#s(approx (log (/ (- (exp x) (exp y)) 2)) (+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (fma.f64 (/.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (exp.f64 y))))))
(-.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64))) (log.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 y) (exp.f64 x)))))))

Outputs

(log.f64 (*.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 1/2 binary64)))

(log.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 x)) #s(literal -1/2 binary64)))

Calls

7 calls:

6.0ms	y
6.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
5.0ms	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 y))

Results

Accuracy	Segments	Branch
97.1%	1	`x`
98.7%	2	`y`
98.8%	2	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
98.8%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
98.8%	2	`(-.f64 (exp.f64 x) (exp.f64 y))`
97.1%	1	`(exp.f64 x)`
98.7%	2	`(exp.f64 y)`

Compiler

Compiled 26 to 30 computations (-15.4% saved)

regimes22.0ms (0.1%)

Memory

-65.1MiB live, 14.4MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/12 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 (-.f64 x #s(approx (- (exp y) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/12 x) 1/4) #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
#s(approx (log (/ (- (exp x) (exp y)) 2)) (+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 #s(approx (+ (* -1/2 (exp y)) 1/2) (*.f64 #s(literal -1/2 binary64) y)))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
(log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 1/2 binary64)))
(log.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 x (expm1.f64 y)))) #s(literal 2 binary64)))
(log.f64 (/.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(approx (- x (- (exp y) 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 y)) x) x x)))) #s(literal 2 binary64)))

Outputs
(log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 1/2 binary64)))

Calls

5 calls:

5.0ms	(exp.f64 y)
5.0ms	y
4.0ms	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
4.0ms	(-.f64 (exp.f64 x) (exp.f64 y))

Results

Accuracy	Segments	Branch
97.1%	1	`y`
97.1%	1	`(exp.f64 y)`
97.1%	1	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
97.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
97.1%	1	`(-.f64 (exp.f64 x) (exp.f64 y))`

Compiler

Compiled 23 to 25 computations (-8.7% saved)

regimes27.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/12 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 (-.f64 x #s(approx (- (exp y) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/12 x) 1/4) #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))
#s(approx (log (/ (- (exp x) (exp y)) 2)) (+.f64 (/.f64 x (neg.f64 (expm1.f64 y))) (log.f64 #s(approx (+ (* -1/2 (exp y)) 1/2) (*.f64 #s(literal -1/2 binary64) y)))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))))

Outputs
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))

Calls

7 calls:

4.0ms	(exp.f64 x)
4.0ms	y
4.0ms	x
3.0ms	(-.f64 (exp.f64 x) (exp.f64 y))
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
96.2%	1	`x`
96.2%	1	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
96.2%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
96.2%	1	`(-.f64 (exp.f64 x) (exp.f64 y))`
96.2%	1	`(exp.f64 x)`
96.2%	1	`y`
96.2%	1	`(exp.f64 y)`

Compiler

Compiled 26 to 30 computations (-15.4% saved)

regimes20.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/12 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 (-.f64 x #s(approx (- (exp y) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))

Outputs

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64))))

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))

Calls

7 calls:

3.0ms	y
3.0ms	x
3.0ms	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
3.0ms	(-.f64 (exp.f64 x) (exp.f64 y))

Results

Accuracy	Segments	Branch
95.4%	2	`y`
68.6%	3	`x`
95.1%	2	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
95.1%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
95.1%	2	`(-.f64 (exp.f64 x) (exp.f64 y))`
54.9%	2	`(exp.f64 x)`
95.4%	2	`(exp.f64 y)`

Compiler

Compiled 26 to 30 computations (-15.4% saved)

regimes19.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/12 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 (-.f64 x #s(approx (- (exp y) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))

Outputs

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))

Calls

7 calls:

3.0ms	x
3.0ms	y
2.0ms	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 y))

Results

Accuracy	Segments	Branch
48.4%	2	`(exp.f64 x)`
48.6%	2	`x`
50.8%	2	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
50.8%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
50.8%	2	`(-.f64 (exp.f64 x) (exp.f64 y))`
50.2%	2	`y`
50.2%	2	`(exp.f64 y)`

Compiler

Compiled 26 to 30 computations (-15.4% saved)

regimes13.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/12 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 (-.f64 x #s(approx (- (exp y) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))) #s(literal 1/2 binary64))))

Outputs

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x #s(approx (- (exp y) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))) #s(literal 1/2 binary64))))

Calls

5 calls:

3.0ms	y
2.0ms	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 y))
2.0ms	(exp.f64 y)

Results

Accuracy	Segments	Branch
50.2%	2	`y`
50.2%	2	`(exp.f64 y)`
50.2%	2	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
50.2%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
50.2%	2	`(-.f64 (exp.f64 x) (exp.f64 y))`

Compiler

Compiled 23 to 25 computations (-8.7% saved)

regimes12.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/12 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))

Outputs

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))

Calls

5 calls:

3.0ms	y
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
2.0ms	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 y))
2.0ms	(exp.f64 y)

Results

Accuracy	Segments	Branch
50.1%	2	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
50.1%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
50.1%	2	`(-.f64 (exp.f64 x) (exp.f64 y))`
50.1%	2	`y`
50.1%	2	`(exp.f64 y)`

Compiler

Compiled 23 to 25 computations (-8.7% saved)

regimes12.0ms (0.1%)

Memory

-70.4MiB live, 9.1MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/12 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))

Outputs

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64))))

Calls

5 calls:

3.0ms	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
2.0ms	y
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 y))
2.0ms	(exp.f64 y)

Results

Accuracy	Segments	Branch
50.1%	2	`y`
50.1%	2	`(exp.f64 y)`
50.1%	2	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
50.1%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
50.1%	2	`(-.f64 (exp.f64 x) (exp.f64 y))`

Compiler

Compiled 23 to 25 computations (-8.7% saved)

regimes9.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))))

Outputs

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x))))

Calls

5 calls:

2.0ms	y
2.0ms	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 y))
2.0ms	(exp.f64 y)

Results

Accuracy	Segments	Branch
50.0%	2	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
50.0%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
50.0%	2	`(-.f64 (exp.f64 x) (exp.f64 y))`
50.0%	2	`y`
50.0%	2	`(exp.f64 y)`

Compiler

Compiled 23 to 25 computations (-8.7% saved)

regimes8.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))))

Outputs

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))))

Calls

5 calls:

2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
2.0ms	y
1.0ms	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 y))
1.0ms	(exp.f64 y)

Results

Accuracy	Segments	Branch
49.2%	2	`y`
49.2%	2	`(exp.f64 y)`
49.4%	2	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
49.4%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
49.4%	2	`(-.f64 (exp.f64 x) (exp.f64 y))`

Compiler

Compiled 23 to 25 computations (-8.7% saved)

regimes4.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))

Outputs

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64))))

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))

Calls

3 calls:

1.0ms	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 y))

Results

Accuracy	Segments	Branch
49.2%	2	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
49.2%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
49.2%	2	`(-.f64 (exp.f64 x) (exp.f64 y))`

Compiler

Compiled 20 to 20 computations (0% saved)

regimes9.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))

Outputs

#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))

(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x))))

Calls

7 calls:

1.0ms	y
1.0ms	x
1.0ms	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 y))

Results

Accuracy	Segments	Branch
32.5%	1	`(exp.f64 x)`
34.2%	2	`x`
32.5%	1	`(exp.f64 y)`
32.5%	1	`y`
32.5%	1	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
32.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
32.5%	1	`(-.f64 (exp.f64 x) (exp.f64 y))`

Compiler

Compiled 26 to 30 computations (-15.4% saved)

regimes8.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))

Outputs
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))

Calls

7 calls:

1.0ms	x
1.0ms	y
1.0ms	(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 y))

Results

Accuracy	Segments	Branch
3.7%	1	`(exp.f64 x)`
3.7%	1	`(log.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64)))`
3.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2 binary64))`
3.7%	1	`(-.f64 (exp.f64 x) (exp.f64 y))`
3.7%	1	`(exp.f64 y)`
3.7%	1	`y`
3.7%	1	`x`

Compiler

Compiled 26 to 30 computations (-15.4% saved)

bsearch1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1318537485931821	0.28130425048064456

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8681462514068179	0.9999999999988216

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1783907183371412e-12	2.7923219292347312e-11

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.05238515481985619	0.7186957495193554

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.28130425048064456	0.5007109855184413

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.05238515481985619	0.7186957495193554

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.28130425048064456	0.5007109855184413

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1783907183371412e-12	2.7923219292347312e-11

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5007109855184413	0.5117659025387868

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch37.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-6.827086552683219e-306	2.9410900665627792e-304

Samples

10.0ms	18×	2	valid
7.0ms	37×	1	valid
6.0ms	89×	0	valid
3.0ms	7×	2	invalid
1.0ms	10×	0	invalid
0.0ms	1×	1	invalid

Compiler

Compiled 443 to 373 computations (15.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-exp: 13.0ms (62.3% of total)

ival-log: 3.0ms (14.4% of total)

ival-div: 2.0ms (9.6% of total)

adjust: 1.0ms (4.8% of total)

ival-sub: 1.0ms (4.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

simplify190.0ms (1.1%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	126	620
1	169	618
2	251	618
3	496	618
4	910	618
5	1875	618
6	7204	618

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 3602879701896397/18014398509481984 binary64)) (log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 1/2 binary64))) (log.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 x)) #s(literal -1/2 binary64))))
(log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 1/2 binary64)))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 y) #s(literal 8106479329266893/9007199254740992 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 (expm1.f64 x) #s(literal 1/2 binary64)))))
(if (<=.f64 (exp.f64 y) #s(literal 3602879701896397/36028797018963968 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 (-.f64 x #s(approx (- (exp y) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))) #s(literal 1/2 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 1/2 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ ( (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x)))))
(if (<=.f64 (exp.f64 y) #s(literal 3602879701896397/36028797018963968 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 1/2 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ ( (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x)))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx ( (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2296835809958953/4503599627370496 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx ( (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))

Outputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 3602879701896397/18014398509481984 binary64)) (log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 1/2 binary64))) (log.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 x)) #s(literal -1/2 binary64))))
(log.f64 (.f64 #s(approx (- (exp x) (exp y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x (expm1.f64 y)))) #s(literal 1/2 binary64)))
(log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 (-.f64 x (expm1.f64 y)) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 y) #s(literal 8106479329266893/9007199254740992 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (fma.f64 #s(literal -1/2 binary64) (exp.f64 y) #s(literal 1/2 binary64)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 (expm1.f64 x) #s(literal 1/2 binary64)))))
(if (<=.f64 (exp.f64 y) #s(literal 3602879701896397/36028797018963968 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 (-.f64 x #s(approx (- (exp y) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))) #s(literal 1/2 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 1/2 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ ( (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x)))))
(if (<=.f64 (exp.f64 y) #s(literal 3602879701896397/36028797018963968 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ (* (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (*.f64 #s(approx (- x (- (exp y) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y x)) #s(literal 1/2 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 1/2 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (+ ( (+ (* (+ (* 1/12 x) 1/4) x) 1/2) x) (+ (* -1/2 (exp y)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64)) x) x)))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx ( (- (exp x) 1) 1/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 y)) #s(literal 2296835809958953/4503599627370496 binary64)) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) (.f64 #s(approx (- x (- (exp y) 1)) (-.f64 x y)) #s(literal 1/2 binary64)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx ( (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y)))) (log.f64 #s(approx (/ (- (exp x) (exp y)) 2) #s(approx (* (- (exp x) 1) 1/2) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (log (/ (- (exp x) (exp y)) 2)) #s(approx (+ (/ x (neg (- (exp y) 1))) (log (+ (* -1/2 (exp y)) 1/2))) (/.f64 x (neg.f64 y))))

soundness1.6s (9.3%)

Memory

-292.7MiB live, 36.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	44	24
2	268	24
3	2681	24
0	8990	24
0	40	255
0	69	255
1	265	253
2	2141	253
0	8330	253
0	138	491
1	380	485
2	962	481
3	3214	472
4	7642	472
0	8547	364
0	344	1334
1	1011	1313
2	3034	1294
0	8357	1096

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 899 to 383 computations (57.4% saved)

preprocess70.0ms (0.4%)

Memory: 50.1MiB live, 50.1MiB allocated
Compiler: Compiled 1 256 to 278 computations (77.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	46
1	46	46
2	82	46
3	137	46
4	224	46
5	357	46
6	513	46
7	751	46
8	889	46
9	923	46
0	8	8
0	13	8
1	18	8
2	25	8
3	38	8
4	61	8
5	85	8
6	139	8
7	207	8
8	303	8
9	375	8
10	409	8
0	409	8

Iter	Nodes	Cost
0	8	27
0	13	27
1	18	27
2	25	27
3	38	27
4	61	27
5	85	27
6	139	27
7	207	27
8	303	27
9	375	27
10	409	27
0	409	27

Iter	Nodes	Cost
0	20	46
1	46	46
2	82	46
3	137	46
4	224	46
5	357	46
6	513	46
7	751	46
8	889	46
9	923	46
0	8	8
0	13	8
1	18	8
2	25	8
3	38	8
4	61	8
5	85	8
6	139	8
7	207	8
8	303	8
9	375	8
10	409	8
0	409	8

Iter	Nodes	Cost
0	8	27
0	13	27
1	18	27
2	25	27
3	38	27
4	61	27
5	85	27
6	139	27
7	207	27
8	303	27
9	375	27
10	409	27
0	409	27

start0.0ms (0%)

analyze206.0ms (1.2%)

sample11.2s (65.9%)

explain211.0ms (1.2%)

preprocess147.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify14.0ms (0.1%)

localize43.0ms (0.3%)

series187.0ms (1.1%)

simplify739.0ms (4.3%)

rewrite634.0ms (3.7%)

eval164.0ms (1%)

prune56.0ms (0.3%)

simplify404.0ms (2.4%)

localize203.0ms (1.2%)

series88.0ms (0.5%)

simplify189.0ms (1.1%)

rewrite214.0ms (1.3%)

eval184.0ms (1.1%)

prune30.0ms (0.2%)

regimes36.0ms (0.2%)

regimes22.0ms (0.1%)

regimes27.0ms (0.2%)

regimes20.0ms (0.1%)

regimes19.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0%)

regimes4.0ms (0%)

regimes9.0ms (0.1%)

regimes8.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch37.0ms (0.2%)

simplify190.0ms (1.1%)

soundness1.6s (9.3%)

preprocess70.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	46
1	46	46
2	82	46
3	137	46
4	224	46
5	357	46
6	513	46
7	751	46
8	889	46
9	923	46
0	8	8
0	13	8
1	18	8
2	25	8
3	38	8
4	61	8
5	85	8
6	139	8
7	207	8
8	303	8
9	375	8
10	409	8
0	409	8

Iter	Nodes	Cost
0	8	27
0	13	27
1	18	27
2	25	27
3	38	27
4	61	27
5	85	27
6	139	27
7	207	27
8	303	27
9	375	27
10	409	27
0	409	27