Metrics for log(x

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze16.0ms (0.7%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.4%	74.6%	0%	0%	0%	0
0%	0%	25.4%	74.6%	0%	0%	0%	1
0%	0%	25.4%	74.6%	0%	0%	0%	2
33.3%	6.4%	12.7%	74.6%	0%	6.4%	0%	3
33.3%	6.4%	12.7%	74.6%	0%	6.4%	0%	4
60%	9.5%	6.4%	74.6%	0%	9.5%	0%	5
60%	9.5%	6.4%	74.6%	0%	9.5%	0%	6
77.8%	11.1%	3.2%	74.6%	0%	11.1%	0%	7
77.8%	11.1%	3.2%	74.6%	0%	11.1%	0%	8
88.2%	11.9%	1.6%	74.6%	0%	11.9%	0%	9
88.2%	11.9%	1.6%	74.6%	0%	11.9%	0%	10
93.9%	12.3%	0.8%	74.6%	0%	12.3%	0%	11
93.9%	12.3%	0.8%	74.6%	0%	12.3%	0%	12

Compiler

Compiled 20 to 14 computations (30% saved)

sample1.1s (46.9%)

Memory

74.7MiB live, 598.5MiB allocated

Samples

583.0ms	8 256×	0	valid
17.0ms	260×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-log: 121.0ms (34.1% of total)

ival-<=: 117.0ms (32.9% of total)

ival-sub: 65.0ms (18.3% of total)

ival-and: 33.0ms (9.3% of total)

exact: 15.0ms (4.2% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain48.0ms (2%)

Memory

19.7MiB live, 19.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(log.f64 (-.f64 x y))`
-	-	`(-.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-log: 7.0ms (63.5% of total)

ival-sub: 3.0ms (27.2% of total)

ival-true: 1.0ms (9.1% of total)

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

preprocess18.0ms (0.8%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	26	24
2	55	24
3	106	24
4	169	24
5	209	24
6	234	24
0	4	4
0	6	4
1	8	4
2	13	4
3	19	4
4	28	4
5	43	4
6	76	4
7	106	4
8	153	4
9	169	4
10	177	4
0	177	4

Stop Event

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

Calls

Call 1

Inputs
(log.f64 (-.f64 x y))

Outputs
(log.f64 (-.f64 x y))

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (-.f64 x y))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify6.0ms (0.2%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(log.f64 (-.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
1	8	9
2	13	9
3	19	9
4	28	9
5	43	9
6	76	9
7	106	9
8	153	9
9	169	9
10	177	9
0	177	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (-.f64 x y))
(-.f64 x y)
x
y

Outputs
(log.f64 (-.f64 x y))
(-.f64 x y)
x
y

localize16.0ms (0.7%)

Memory

5.1MiB live, 5.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(log.f64 (-.f64 x y))

Samples

12.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-log: 3.0ms (57.1% of total)

ival-sub: 2.0ms (38.1% of total)

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

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

series3.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

2 → 32

Calls

Call 1

Inputs
(log.f64 (-.f64 x y))
(-.f64 x y)

Outputs
(log (neg y))
(+ (log (neg y)) (* -1 (/ x y)))
(+ (log (neg y)) (* x (- (* -1/2 (/ x (pow y 2))) (/ 1 y))))
(+ (log (neg y)) (* x (- (* x (- (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))
(* -1 y)
(- x y)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (* -1 (/ y x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ y x)) (* -1/2 (/ (pow y 2) (pow x 2)))))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* -1/3 (/ (pow y 3) (pow x 3))))))
x
(* x (+ 1 (* -1 (/ y x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ y x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ y (* 1/2 (/ (pow y 2) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ y (* -1 (/ (+ (* -1/2 (pow y 2)) (* -1/3 (/ (pow y 3) x))) x))) x))))
(* -1 (* x (- (/ y x) 1)))
(log x)
(+ (log x) (* -1 (/ y x)))
(+ (log x) (* y (- (* -1/2 (/ y (pow x 2))) (/ 1 x))))
(+ (log x) (* y (- (* y (- (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))
(+ x (* -1 y))
(+ (log -1) (* -1 (log (/ 1 y))))
(+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ x y))))
(+ (log -1) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (* -1/2 (/ (pow x 2) (pow y 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/3 (/ (pow x 3) (pow y 3)))))))
(* y (- (/ x y) 1))
(* -1 (log (/ -1 y)))
(+ (* -1 (log (/ -1 y))) (* -1 (/ x y)))
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* 1/2 (/ (pow x 2) y))) y)))
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/3 (/ (pow x 3) y))) y))) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((log (- x y)) (- x y))
1.0ms	y	@	inf	((log (- x y)) (- x y))
1.0ms	x	@	-inf	((log (- x y)) (- x y))
0.0ms	y	@	-inf	((log (- x y)) (- x y))
0.0ms	x	@	0	((log (- x y)) (- x y))

simplify233.0ms (9.6%)

Memory

-148.1MiB live, 38.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	396
1	345	351
2	914	345
3	2945	317
4	7345	317
0	8109	291

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

Inputs
(log (neg y))
(+ (log (neg y)) (* -1 (/ x y)))
(+ (log (neg y)) (* x (- (* -1/2 (/ x (pow y 2))) (/ 1 y))))
(+ (log (neg y)) (* x (- (* x (- (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))
(* -1 y)
(- x y)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (* -1 (/ y x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ y x)) (* -1/2 (/ (pow y 2) (pow x 2)))))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* -1/3 (/ (pow y 3) (pow x 3))))))
x
(* x (+ 1 (* -1 (/ y x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ y x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ y (* 1/2 (/ (pow y 2) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ y (* -1 (/ (+ (* -1/2 (pow y 2)) (* -1/3 (/ (pow y 3) x))) x))) x))))
(* -1 (* x (- (/ y x) 1)))
(log x)
(+ (log x) (* -1 (/ y x)))
(+ (log x) (* y (- (* -1/2 (/ y (pow x 2))) (/ 1 x))))
(+ (log x) (* y (- (* y (- (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))
(+ x (* -1 y))
(+ (log -1) (* -1 (log (/ 1 y))))
(+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ x y))))
(+ (log -1) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (* -1/2 (/ (pow x 2) (pow y 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/3 (/ (pow x 3) (pow y 3)))))))
(* y (- (/ x y) 1))
(* -1 (log (/ -1 y)))
(+ (* -1 (log (/ -1 y))) (* -1 (/ x y)))
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* 1/2 (/ (pow x 2) y))) y)))
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/3 (/ (pow x 3) y))) y))) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite141.0ms (5.8%)

Memory

49.2MiB live, 49.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	21	7
2	144	7
3	1427	7
0	8526	7

Stop Event

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

Counts

2 → 258

Calls

Call 1

Inputs
(log.f64 (-.f64 x y))
(-.f64 x y)

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

eval55.0ms (2.2%)

Memory: -60.2MiB live, 23.6MiB allocated
Compiler: Compiled 8 559 to 996 computations (88.4% saved)

prune5.0ms (0.2%)

Memory

10.3MiB live, 10.3MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	275	2	277
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	275	3	278

Accuracy

100.0%

Counts

278 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (-.f64 x y))
▶	54.9%	(log.f64 #s(approx (- x y) (neg.f64 y)))
▶	50.7%	#s(approx (log (- x y)) (log.f64 x))

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify7.0ms (0.3%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(log.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff	0	(log.f64 x)
cost-diff	0	#s(approx (log (- x y)) (log.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
0	12	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	113	26
8	161	26
9	177	26
10	185	26
0	185	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (log (- x y)) (log.f64 x))
(log.f64 x)
x
(log.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y

Outputs
#s(approx (log (- x y)) (log.f64 x))
(log.f64 x)
x
(log.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y

localize22.0ms (0.9%)

Memory

7.4MiB live, 7.4MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(log.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	29.643763786080203	#s(approx (- x y) (neg.f64 y))
accuracy	0.0	(log.f64 x)
accuracy	13.042215795986428	#s(approx (log (- x y)) (log.f64 x))

Samples

12.0ms	182×	0	valid
5.0ms	74×	0	invalid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 6.0ms (68.7% of total)

ival-sub: 2.0ms (22.9% of total)

ival-neg: 1.0ms (11.5% of total)

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

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

series45.0ms (1.8%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

5 → 32

Calls

Call 1

Inputs
#s(approx (log (- x y)) (log.f64 x))
(log.f64 x)
(log.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)

Outputs
(log (neg y))
(+ (log (neg y)) (* -1 (/ x y)))
(+ (log (neg y)) (* x (- (* -1/2 (/ x (pow y 2))) (/ 1 y))))
(+ (log (neg y)) (* x (- (* x (- (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))
(log x)
(* -1 y)
(- x y)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (* -1 (/ y x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ y x)) (* -1/2 (/ (pow y 2) (pow x 2)))))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* -1/3 (/ (pow y 3) (pow x 3))))))
x
(* x (+ 1 (* -1 (/ y x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ y x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ y (* 1/2 (/ (pow y 2) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ y (* -1 (/ (+ (* -1/2 (pow y 2)) (* -1/3 (/ (pow y 3) x))) x))) x))))
(* -1 (* x (- (/ y x) 1)))
(+ (log x) (* -1 (/ y x)))
(+ (log x) (* y (- (* -1/2 (/ y (pow x 2))) (/ 1 x))))
(+ (log x) (* y (- (* y (- (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))
(+ x (* -1 y))
(+ (log -1) (* -1 (log (/ 1 y))))
(+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ x y))))
(+ (log -1) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (* -1/2 (/ (pow x 2) (pow y 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/3 (/ (pow x 3) (pow y 3)))))))
(* y (- (/ x y) 1))
(* -1 (log (/ -1 y)))
(+ (* -1 (log (/ -1 y))) (* -1 (/ x y)))
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* 1/2 (/ (pow x 2) y))) y)))
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/3 (/ (pow x 3) y))) y))) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	((log (- x y)) (log x) (log (- x y)) (- x y) (neg y))
16.0ms	x	@	-inf	((log (- x y)) (log x) (log (- x y)) (- x y) (neg y))
6.0ms	x	@	inf	((log (- x y)) (log x) (log (- x y)) (- x y) (neg y))
0.0ms	y	@	inf	((log (- x y)) (log x) (log (- x y)) (- x y) (neg y))
0.0ms	y	@	-inf	((log (- x y)) (log x) (log (- x y)) (- x y) (neg y))

simplify183.0ms (7.5%)

Memory

-39.0MiB live, 38.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	392
1	345	351
2	914	345
3	2940	317
4	7346	317
0	8111	291

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

Inputs
(log (neg y))
(+ (log (neg y)) (* -1 (/ x y)))
(+ (log (neg y)) (* x (- (* -1/2 (/ x (pow y 2))) (/ 1 y))))
(+ (log (neg y)) (* x (- (* x (- (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))
(log x)
(* -1 y)
(- x y)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (* -1 (/ y x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ y x)) (* -1/2 (/ (pow y 2) (pow x 2)))))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* -1/3 (/ (pow y 3) (pow x 3))))))
x
(* x (+ 1 (* -1 (/ y x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ y x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ y (* 1/2 (/ (pow y 2) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ y (* -1 (/ (+ (* -1/2 (pow y 2)) (* -1/3 (/ (pow y 3) x))) x))) x))))
(* -1 (* x (- (/ y x) 1)))
(+ (log x) (* -1 (/ y x)))
(+ (log x) (* y (- (* -1/2 (/ y (pow x 2))) (/ 1 x))))
(+ (log x) (* y (- (* y (- (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))
(+ x (* -1 y))
(+ (log -1) (* -1 (log (/ 1 y))))
(+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ x y))))
(+ (log -1) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (* -1/2 (/ (pow x 2) (pow y 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/3 (/ (pow x 3) (pow y 3)))))))
(* y (- (/ x y) 1))
(* -1 (log (/ -1 y)))
(+ (* -1 (log (/ -1 y))) (* -1 (/ x y)))
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* 1/2 (/ (pow x 2) y))) y)))
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/3 (/ (pow x 3) y))) y))) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite105.0ms (4.3%)

Memory

32.3MiB live, 32.3MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	12	24
1	30	24
2	162	24
3	1630	21
0	9461	21

Stop Event

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

Counts

5 → 43

Calls

Call 1

Inputs
#s(approx (log (- x y)) (log.f64 x))
(log.f64 x)
(log.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)

Outputs
#s(approx (log (- x y)) (log.f64 x))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64))) (log.f64 (-.f64 x #s(literal 0 binary64))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) (log.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64))))))
(log.f64 x)
(log.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
(*.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(.f64 (.f64 y y) (pow.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) #s(literal 0 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 0 binary64) y) (fma.f64 y y (*.f64 (/.f64 #s(literal 0 binary64) y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 0 binary64) (.f64 y y)) (fma.f64 y y (.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (pow.f64 y #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))) (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 y y) y)
(/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64)))))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(neg.f64 y)
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64)))) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 #s(literal 0 binary64) y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (log.f64 y))
(+.f64 #s(literal 0 binary64) y)
(+.f64 y #s(literal 0 binary64))
y

eval5.0ms (0.2%)

Memory: 4.1MiB live, 4.1MiB allocated
Compiler: Compiled 839 to 235 computations (72% saved)

prune3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	61	4	65

Accuracy

100.0%

Counts

65 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (-.f64 x y))
✓	54.9%	(log.f64 #s(approx (- x y) (neg.f64 y)))
	4.7%	(log.f64 #s(approx (- x y) y))
✓	50.7%	#s(approx (log (- x y)) (log.f64 x))

Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes7.0ms (0.3%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (log (- x y)) (log.f64 x))
(log.f64 #s(approx (- x y) y))
(log.f64 #s(approx (- x y) (neg.f64 y)))
(log.f64 (-.f64 x y))

Outputs
(log.f64 (-.f64 x y))

Calls

4 calls:

2.0ms	(log.f64 (-.f64 x y))
2.0ms	(-.f64 x y)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(log.f64 (-.f64 x y))`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes6.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (log (- x y)) (log.f64 x))
(log.f64 #s(approx (- x y) y))
(log.f64 #s(approx (- x y) (neg.f64 y)))

Outputs
(log.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (log (- x y)) (log.f64 x))

Calls

4 calls:

1.0ms	(log.f64 (-.f64 x y))
1.0ms	(-.f64 x y)
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
84.4%	2	`x`
85.8%	2	`y`
65.3%	6	`(log.f64 (-.f64 x y))`
65.3%	6	`(-.f64 x y)`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes5.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated

Accuracy

Total -29.5b remaining (-93.4%)

Threshold costs -29.5b (-93.4%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (log (- x y)) (log.f64 x))
(log.f64 #s(approx (- x y) y))

Outputs
#s(approx (log (- x y)) (log.f64 x))

Calls

4 calls:

1.0ms	(log.f64 (-.f64 x y))
1.0ms	(-.f64 x y)
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
50.7%	1	`(log.f64 (-.f64 x y))`
50.7%	1	`(-.f64 x y)`
50.7%	1	`x`
50.7%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch8.0ms (0.3%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-2.311704997546111e-216	-1.0496319698454606e-216

Samples

4.0ms	80×	0	valid
0.0ms	8×	0	invalid

Compiler

Compiled 77 to 79 computations (-2.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (57% of total)

ival-log: 1.0ms (57% of total)

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

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

simplify55.0ms (2.2%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	21	29
2	25	29
3	31	29
4	42	29
5	59	29
6	117	29
7	375	29
8	3371	29

Stop Event

1×	node limit

Calls

Call 1

Inputs

(log.f64 (-.f64 x y))

(if (<=.f64 y #s(literal -7141583224583261/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712 binary64)) (log.f64 #s(approx (- x y) (neg.f64 y))) #s(approx (log (- x y)) (log.f64 x)))

#s(approx (log (- x y)) (log.f64 x))

Outputs

(log.f64 (-.f64 x y))

(if (<=.f64 y #s(literal -7141583224583261/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712 binary64)) (log.f64 #s(approx (- x y) (neg.f64 y))) #s(approx (log (- x y)) (log.f64 x)))

#s(approx (log (- x y)) (log.f64 x))

soundness242.0ms (9.9%)

Memory

2.4MiB live, 2.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	396
1	345	351
2	914	345
3	2945	317
4	7345	317
0	8109	291

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 36 to 24 computations (33.3% saved)

preprocess58.0ms (2.4%)

Memory: -64.8MiB live, 14.2MiB allocated
Compiler: Compiled 66 to 36 computations (45.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

log(x - y)

start0.0ms (0%)

analyze16.0ms (0.7%)

sample1.1s (46.9%)

explain48.0ms (2%)

preprocess18.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.2%)

localize16.0ms (0.7%)

series3.0ms (0.1%)

simplify233.0ms (9.6%)

rewrite141.0ms (5.8%)

eval55.0ms (2.2%)

prune5.0ms (0.2%)

simplify7.0ms (0.3%)

localize22.0ms (0.9%)

series45.0ms (1.8%)

simplify183.0ms (7.5%)

rewrite105.0ms (4.3%)

eval5.0ms (0.2%)

prune3.0ms (0.1%)

regimes7.0ms (0.3%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch8.0ms (0.3%)

simplify55.0ms (2.2%)

soundness242.0ms (9.9%)

preprocess58.0ms (2.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	26
1	26	24
2	55	24
3	106	24
4	169	24
5	209	24
6	234	24
0	4	4
0	6	4
1	8	4
2	13	4
3	19	4
4	28	4
5	43	4
6	76	4
7	106	4
8	153	4
9	169	4
10	177	4
0	177	4

Iter	Nodes	Cost
0	9	26
0	12	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	113	26
8	161	26
9	177	26
10	185	26
0	185	26

Iter	Nodes	Cost
0	12	26
1	26	24
2	55	24
3	106	24
4	169	24
5	209	24
6	234	24
0	4	4
0	6	4
1	8	4
2	13	4
3	19	4
4	28	4
5	43	4
6	76	4
7	106	4
8	153	4
9	169	4
10	177	4
0	177	4

Iter	Nodes	Cost
0	9	26
0	12	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	113	26
8	161	26
9	177	26
10	185	26
0	185	26

Iter	Nodes	Cost
0	12	26
1	26	24
2	55	24
3	106	24
4	169	24
5	209	24
6	234	24
0	4	4
0	6	4
1	8	4
2	13	4
3	19	4
4	28	4
5	43	4
6	76	4
7	106	4
8	153	4
9	169	4
10	177	4
0	177	4

Iter	Nodes	Cost
0	9	26
0	12	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	113	26
8	161	26
9	177	26
10	185	26
0	185	26