Metrics for 4/(k*4 + 1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.6%	74.4%	0%	0%	0%	0
100%	25.6%	0%	74.4%	0%	0%	0%	1

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.2s (37.6%)

Memory

93.9MiB live, 546.9MiB allocated

Samples

731.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 496.0ms

ival-div: 171.0ms (34.4% of total)

ival-mult: 98.0ms (19.7% of total)

ival-add: 89.0ms (17.9% of total)

ival-<=: 56.0ms (11.3% of total)

ival-sub: 41.0ms (8.3% of total)

exact: 24.0ms (4.8% of total)

ival-and: 13.0ms (2.6% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain145.0ms (4.7%)

Memory

-14.4MiB live, 62.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
7	-	1	(33.739769109514064)	`(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))`
0	-	0	-	`k`
0	-	0	-	`(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64)))`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64)))`
0	-	0	-	`(*.f64 k #s(literal 4 binary64))`
0	-	0	-	`(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))`	cancellation	6	1

Confusion

	Predicted +	Predicted -
+	6	1
-	0	249

Precision

1.0

Recall

0.8571428571428571

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	1	0
-	0	0	249

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 111 to 34 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 6.0ms (30.8% of total)

ival-add: 5.0ms (25.6% of total)

ival-mult: 4.0ms (20.5% of total)

ival-sub: 2.0ms (10.3% of total)

exact: 1.0ms (5.1% of total)

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

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

preprocess26.0ms (0.8%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	26	31
2	59	30
3	114	30
4	199	30
5	311	30
6	361	30
7	377	30
0	10	15
0	16	15
1	23	15
2	32	15
3	46	15
4	73	15
5	104	15
6	154	15
7	211	15
8	307	15
9	366	15
10	391	15
11	400	15
0	400	13

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))

Outputs

(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))

(-.f64 (/.f64 #s(literal -4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 1 binary64))))

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify12.0ms (0.4%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
cost-diff	1	(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))
cost-diff	1	(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46
0	16	46
1	23	46
2	32	46
3	46	46
4	73	46
5	104	46
6	154	46
7	211	46
8	307	46
9	366	46
10	391	46
11	400	46
0	400	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(literal 4 binary64)
(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 k #s(literal 4 binary64))
k
#s(literal 1 binary64)
(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64)))
(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)

Outputs
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal -4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 1 binary64)))
#s(literal 4 binary64)
(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 k #s(literal 4 binary64) #s(literal 1 binary64))
(*.f64 k #s(literal 4 binary64))
k
#s(literal 1 binary64)
(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64)))
(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))
(fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64))
#s(literal 3 binary64)

localize24.0ms (0.8%)

Memory

9.7MiB live, 9.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 k #s(literal 4 binary64))
accuracy	0.0078125	(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64)))
accuracy	0.03125	(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64)))
accuracy	1.2856179064483013	(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))

Samples

17.0ms

256×

valid

Compiler

Compiled 48 to 12 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (31.5% of total)

ival-add: 3.0ms (31.5% of total)

ival-mult: 2.0ms (21% of total)

ival-sub: 1.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

6 → 38

Calls

Call 1

Inputs
(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64)))
(*.f64 k #s(literal 4 binary64))

Outputs
1
(+ 1 (* 4 k))
3
(+ 3 (* 4 k))
8/3
(+ 8/3 (* -128/9 k))
(+ 8/3 (* k (- (* 1664/27 k) 128/9)))
(+ 8/3 (* k (- (* k (+ 1664/27 (* -20480/81 k))) 128/9)))
4
(+ 4 (* -16 k))
(+ 4 (* k (- (* 64 k) 16)))
(+ 4 (* k (- (* k (+ 64 (* -256 k))) 16)))
4/3
(+ 4/3 (* -16/9 k))
(+ 4/3 (* k (- (* 64/27 k) 16/9)))
(+ 4/3 (* k (- (* k (+ 64/27 (* -256/81 k))) 16/9)))
(* 4 k)
(* k (+ 4 (/ 1 k)))
(* k (+ 4 (* 3 (/ 1 k))))
(/ 1/2 (pow k 2))
(/ (- 1/2 (* 1/2 (/ 1 k))) (pow k 2))
(/ (- (+ 1/2 (/ 13/32 (pow k 2))) (* 1/2 (/ 1 k))) (pow k 2))
(/ (- (+ 1/2 (/ 13/32 (pow k 2))) (+ (* 1/2 (/ 1 k)) (* 5/16 (/ 1 (pow k 3))))) (pow k 2))
(/ 1 k)
(/ (- 1 (* 1/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 1/16 (pow k 2))) (* 1/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 1/16 (pow k 2))) (+ (* 1/4 (/ 1 k)) (* 1/64 (/ 1 (pow k 3))))) k)
(/ (- 1 (* 3/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 9/16 (pow k 2))) (* 3/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 9/16 (pow k 2))) (+ (* 3/4 (/ 1 k)) (* 27/64 (/ 1 (pow k 3))))) k)
(/ (+ 1/2 (* -1 (/ (- 1/2 (* 13/32 (/ 1 k))) k))) (pow k 2))
(/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 13/32 (* 5/16 (/ 1 k))) k))) k))) (pow k 2))
(* -1 (/ (- (* 1/4 (/ 1 k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 k)) 1/4) k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 k)) 1/16) k)) 1/4) k)) 1) k))
(* -1 (/ (- (* 3/4 (/ 1 k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* 9/16 (/ 1 k)) 3/4) k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/64 (/ 1 k)) 9/16) k)) 3/4) k)) 1) k))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	k	@	inf	((+ (* k 4) 1) (+ (* k 4) 3) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3)) (* k 4))
1.0ms	k	@	-inf	((+ (* k 4) 1) (+ (* k 4) 3) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3)) (* k 4))
1.0ms	k	@	0	((+ (* k 4) 1) (+ (* k 4) 3) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3)) (* k 4))

Time

Variable

Point

Expression

2.0ms

inf

((+ (* k 4) 1) (+ (* k 4) 3) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3)) (* k 4))

1.0ms

-inf

((+ (* k 4) 1) (+ (* k 4) 3) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3)) (* k 4))

1.0ms

((+ (* k 4) 1) (+ (* k 4) 3) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3)) (* k 4))

simplify145.0ms (4.7%)

Memory

-46.1MiB live, 32.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	354
1	473	338
2	1039	330
3	2267	318
4	6658	318
0	8076	296

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 38

Calls

Call 1

Inputs
1
(+ 1 (* 4 k))
3
(+ 3 (* 4 k))
8/3
(+ 8/3 (* -128/9 k))
(+ 8/3 (* k (- (* 1664/27 k) 128/9)))
(+ 8/3 (* k (- (* k (+ 1664/27 (* -20480/81 k))) 128/9)))
4
(+ 4 (* -16 k))
(+ 4 (* k (- (* 64 k) 16)))
(+ 4 (* k (- (* k (+ 64 (* -256 k))) 16)))
4/3
(+ 4/3 (* -16/9 k))
(+ 4/3 (* k (- (* 64/27 k) 16/9)))
(+ 4/3 (* k (- (* k (+ 64/27 (* -256/81 k))) 16/9)))
(* 4 k)
(* k (+ 4 (/ 1 k)))
(* k (+ 4 (* 3 (/ 1 k))))
(/ 1/2 (pow k 2))
(/ (- 1/2 (* 1/2 (/ 1 k))) (pow k 2))
(/ (- (+ 1/2 (/ 13/32 (pow k 2))) (* 1/2 (/ 1 k))) (pow k 2))
(/ (- (+ 1/2 (/ 13/32 (pow k 2))) (+ (* 1/2 (/ 1 k)) (* 5/16 (/ 1 (pow k 3))))) (pow k 2))
(/ 1 k)
(/ (- 1 (* 1/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 1/16 (pow k 2))) (* 1/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 1/16 (pow k 2))) (+ (* 1/4 (/ 1 k)) (* 1/64 (/ 1 (pow k 3))))) k)
(/ (- 1 (* 3/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 9/16 (pow k 2))) (* 3/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 9/16 (pow k 2))) (+ (* 3/4 (/ 1 k)) (* 27/64 (/ 1 (pow k 3))))) k)
(/ (+ 1/2 (* -1 (/ (- 1/2 (* 13/32 (/ 1 k))) k))) (pow k 2))
(/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 13/32 (* 5/16 (/ 1 k))) k))) k))) (pow k 2))
(* -1 (/ (- (* 1/4 (/ 1 k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 k)) 1/4) k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 k)) 1/16) k)) 1/4) k)) 1) k))
(* -1 (/ (- (* 3/4 (/ 1 k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* 9/16 (/ 1 k)) 3/4) k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/64 (/ 1 k)) 9/16) k)) 3/4) k)) 1) k))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 4 k))
(fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 4 k))
(fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))
8/3
#s(literal 8/3 binary64)
(+ 8/3 (* -128/9 k))
(fma.f64 #s(literal -128/9 binary64) k #s(literal 8/3 binary64))
(+ 8/3 (* k (- (* 1664/27 k) 128/9)))
(fma.f64 (fma.f64 #s(literal 1664/27 binary64) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64))
(+ 8/3 (* k (- (* k (+ 1664/27 (* -20480/81 k))) 128/9)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -20480/81 binary64) k #s(literal 1664/27 binary64)) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64))
4
#s(literal 4 binary64)
(+ 4 (* -16 k))
(fma.f64 #s(literal -16 binary64) k #s(literal 4 binary64))
(+ 4 (* k (- (* 64 k) 16)))
(fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))
(+ 4 (* k (- (* k (+ 64 (* -256 k))) 16)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -256 binary64) k #s(literal 64 binary64)) k #s(literal -16 binary64)) k #s(literal 4 binary64))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* -16/9 k))
(fma.f64 #s(literal -16/9 binary64) k #s(literal 4/3 binary64))
(+ 4/3 (* k (- (* 64/27 k) 16/9)))
(fma.f64 (fma.f64 #s(literal 64/27 binary64) k #s(literal -16/9 binary64)) k #s(literal 4/3 binary64))
(+ 4/3 (* k (- (* k (+ 64/27 (* -256/81 k))) 16/9)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -256/81 binary64) k #s(literal 64/27 binary64)) k #s(literal -16/9 binary64)) k #s(literal 4/3 binary64))
(* 4 k)
(*.f64 #s(literal 4 binary64) k)
(* k (+ 4 (/ 1 k)))
(fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))
(* k (+ 4 (* 3 (/ 1 k))))
(fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))
(/ 1/2 (pow k 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 k k))
(/ (- 1/2 (* 1/2 (/ 1 k))) (pow k 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) k)) k) k)
(/ (- (+ 1/2 (/ 13/32 (pow k 2))) (* 1/2 (/ 1 k))) (pow k 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 13/32 binary64) k)) k)) (*.f64 k k))
(/ (- (+ 1/2 (/ 13/32 (pow k 2))) (+ (* 1/2 (/ 1 k)) (* 5/16 (/ 1 (pow k 3))))) (pow k 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 13/32 binary64) (/.f64 #s(literal 5/16 binary64) k)) k)) k)) (*.f64 k k))
(/ 1 k)
(/.f64 #s(literal 1 binary64) k)
(/ (- 1 (* 1/4 (/ 1 k))) k)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) k)) k)
(/ (- (+ 1 (/ 1/16 (pow k 2))) (* 1/4 (/ 1 k))) k)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) k) #s(literal 1/4 binary64)) k) #s(literal -1 binary64)) k)
(/ (- (+ 1 (/ 1/16 (pow k 2))) (+ (* 1/4 (/ 1 k)) (* 1/64 (/ 1 (pow k 3))))) k)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) k) #s(literal 1/16 binary64)) k)) k) #s(literal -1 binary64)) k)
(/ (- 1 (* 3/4 (/ 1 k))) k)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) k)) k)
(/ (- (+ 1 (/ 9/16 (pow k 2))) (* 3/4 (/ 1 k))) k)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/16 binary64) k) #s(literal 3/4 binary64)) k) #s(literal -1 binary64)) k)
(/ (- (+ 1 (/ 9/16 (pow k 2))) (+ (* 3/4 (/ 1 k)) (* 27/64 (/ 1 (pow k 3))))) k)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/64 binary64) k) #s(literal 9/16 binary64)) k)) k) #s(literal -1 binary64)) k)
(/ (+ 1/2 (* -1 (/ (- 1/2 (* 13/32 (/ 1 k))) k))) (pow k 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 13/32 binary64) k)) k)) (*.f64 k k))
(/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 13/32 (* 5/16 (/ 1 k))) k))) k))) (pow k 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 13/32 binary64) (/.f64 #s(literal 5/16 binary64) k)) k)) k)) (*.f64 k k))
(* -1 (/ (- (* 1/4 (/ 1 k)) 1) k))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) k)) k)
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 k)) 1/4) k)) 1) k))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) k) #s(literal 1/4 binary64)) k) #s(literal -1 binary64)) k)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 k)) 1/16) k)) 1/4) k)) 1) k))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) k) #s(literal 1/16 binary64)) k)) k) #s(literal -1 binary64)) k)
(* -1 (/ (- (* 3/4 (/ 1 k)) 1) k))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) k)) k)
(* -1 (/ (- (* -1 (/ (- (* 9/16 (/ 1 k)) 3/4) k)) 1) k))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/16 binary64) k) #s(literal 3/4 binary64)) k) #s(literal -1 binary64)) k)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/64 (/ 1 k)) 9/16) k)) 3/4) k)) 1) k))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/64 binary64) k) #s(literal 9/16 binary64)) k)) k) #s(literal -1 binary64)) k)

rewrite143.0ms (4.7%)

Memory

52.2MiB live, 52.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
0	16	42
1	78	42
2	736	42
0	8362	36

Stop Event

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

Counts

6 → 275

Calls

Call 1

Inputs
(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64)))
(*.f64 k #s(literal 4 binary64))

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) k))))
(.f64 (neg.f64 (fma.f64 (.f64 k k) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 k k) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) k))))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) k)))
(.f64 (fma.f64 (.f64 k k) #s(literal 16 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) k)))))
(.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 k k) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) k))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) k))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 k k) #s(literal 16 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 k k) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) k))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) k)))
(/.f64 (neg.f64 (fma.f64 (*.f64 k k) #s(literal 16 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) k)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 k k) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) k)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 k k) #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) k))))
(/.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 k k) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) k))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) k)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) k)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) k))) (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) k)))
(fma.f64 (pow.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) k) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))
(fma.f64 k #s(literal 4 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) k))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) k))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) k)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) k))
(+.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 4 binary64) k))))
(.f64 (neg.f64 (fma.f64 (.f64 k k) #s(literal 16 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 k k) #s(literal 16 binary64) (-.f64 #s(literal 9 binary64) (*.f64 k #s(literal 12 binary64)))))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -3 binary64) (.f64 #s(literal 4 binary64) k)))
(.f64 (fma.f64 (.f64 k k) #s(literal 16 binary64) #s(literal -9 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (*.f64 k #s(literal 12 binary64))))))
(.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 27 binary64)) (pow.f64 (fma.f64 (.f64 k k) #s(literal 16 binary64) (-.f64 #s(literal 9 binary64) (*.f64 k #s(literal 12 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal 4 binary64) k))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 k k) #s(literal 16 binary64) #s(literal -9 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 k k) #s(literal 16 binary64) (-.f64 #s(literal 9 binary64) (.f64 k #s(literal 12 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64))) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 4 binary64) k)))
(/.f64 (neg.f64 (fma.f64 (*.f64 k k) #s(literal 16 binary64) #s(literal -9 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 27 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (.f64 k #s(literal 12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 27 binary64))) (neg.f64 (fma.f64 (.f64 k k) #s(literal 16 binary64) (-.f64 #s(literal 9 binary64) (.f64 k #s(literal 12 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 k k) #s(literal 16 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64)))
(/.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (.f64 k #s(literal 12 binary64)))))
(/.f64 (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 27 binary64)) (fma.f64 (.f64 k k) #s(literal 16 binary64) (-.f64 #s(literal 9 binary64) (.f64 k #s(literal 12 binary64)))))
(/.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) k)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal 4 binary64) k)) (-.f64 #s(literal 9 binary64) (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (.f64 k #s(literal 12 binary64)))) (fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) k)))
(fma.f64 (pow.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) k) #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 1 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))
(fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 4 binary64) k))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 4 binary64) k))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) k)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal -3 binary64)))))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 4 binary64) k))
(+.f64 (*.f64 #s(literal 4 binary64) k) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal -1 binary64)))))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) k)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) k))
(.f64 (.f64 #s(literal 4 binary64) k) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) k)
(*.f64 k #s(literal 4 binary64))

eval56.0ms (1.8%)

Memory: -47.5MiB live, 30.5MiB allocated
Compiler: Compiled 8 676 to 1 045 computations (88% saved)

prune12.0ms (0.4%)

Memory

16.3MiB live, 16.3MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	294	14	308
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	295	14	309

Accuracy

100.0%

Counts

309 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 k k) #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))))
▶	99.9%	(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))))
	99.4%	(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))))
▶	98.0%	(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))))
	95.2%	(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) #s(approx (/ 4 (+ ( k 4) 3)) (fma.f64 (fma.f64 #s(literal 64/27 binary64) k #s(literal -16/9 binary64)) k #s(literal 4/3 binary64))))
▶	95.4%	(-.f64 #s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
	5.9%	(-.f64 #s(approx (/ 4 (+ (* k 4) 1)) (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
	96.6%	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 (fma.f64 (fma.f64 #s(literal -20480/81 binary64) k #s(literal 1664/27 binary64)) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
	96.8%	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 (fma.f64 #s(literal 1664/27 binary64) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
	96.2%	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 #s(literal -128/9 binary64) k #s(literal 8/3 binary64)))
	2.5%	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) k)) k) k))
	5.9%	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 13/32 binary64) k)) k)) (*.f64 k k)))
▶	5.3%	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 #s(literal 1/2 binary64) (*.f64 k k)))
▶	95.3%	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))

Compiler

Compiled 666 to 412 computations (38.1% saved)

simplify163.0ms (5.3%)

Memory

39.2MiB live, 39.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)))
cost-diff	0	(fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))
cost-diff	0	#s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64)))
cost-diff	0	(-.f64 #s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
cost-diff	1	(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))
cost-diff	0	(*.f64 k k)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 k k))
cost-diff	0	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 #s(literal 1/2 binary64) (*.f64 k k)))
cost-diff	0	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))))
cost-diff	2	(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))
cost-diff	2	(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))
cost-diff	9	(fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	217
0	57	208
1	91	208
2	160	205
3	352	201
4	596	193
5	802	185
6	1111	185
7	2102	185
8	5955	185
9	7763	185
0	8175	180

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64)))
(fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))
#s(literal 4 binary64)
k
#s(literal 3 binary64)
(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))
(fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -4 binary64)
(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))
#s(literal 8/3 binary64)
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 #s(literal 1/2 binary64) (*.f64 k k)))
(/.f64 #s(literal 1/2 binary64) (*.f64 k k))
#s(literal 1/2 binary64)
(*.f64 k k)
k
(-.f64 #s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
#s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))
(fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64))
#s(literal 64 binary64)
k
#s(literal -16 binary64)
#s(literal 4 binary64)
(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64)))
(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))
(*.f64 k #s(literal 4 binary64))
#s(literal 3 binary64)
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))))
(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))
#s(literal 4 binary64)
(fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))
k
#s(literal 1 binary64)
(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)))
(fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))
#s(literal 3 binary64)

Outputs
(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))))
(/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 k k k) #s(literal 16 binary64) #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64)))
#s(literal 8 binary64)
(fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))
(fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64))
#s(literal 4 binary64)
k
#s(literal 3 binary64)
(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))
(fma.f64 #s(literal -16 binary64) k #s(literal -4 binary64))
(fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))
(fma.f64 k #s(literal 4 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -4 binary64)
(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))
(fma.f64 (fma.f64 k k k) #s(literal 16 binary64) #s(literal 3 binary64))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))
#s(literal 8/3 binary64)
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 #s(literal 1/2 binary64) (*.f64 k k)))
(/.f64 #s(literal 1/2 binary64) (*.f64 k k))
#s(literal 1/2 binary64)
(*.f64 k k)
k
(-.f64 #s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
(-.f64 #s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64))))
#s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))
(fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64))
#s(literal 64 binary64)
k
#s(literal -16 binary64)
#s(literal 4 binary64)
(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64)))
(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))
(fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64))
(*.f64 k #s(literal 4 binary64))
#s(literal 3 binary64)
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal -4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))
(/.f64 #s(literal 4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 1 binary64)))
#s(literal 4 binary64)
(fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))
(fma.f64 k #s(literal 4 binary64) #s(literal 1 binary64))
k
#s(literal 1 binary64)
(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)))
(/.f64 #s(literal 4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))
(fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64))
#s(literal 3 binary64)

localize121.0ms (3.9%)

Memory

-71.4MiB live, 29.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)))
accuracy	0.03125	(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))
accuracy	1.2856179064483013	(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))))
accuracy	0.0	(*.f64 k #s(literal 4 binary64))
accuracy	0.0078125	(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64)))
accuracy	1.2856179064483013	(-.f64 #s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
accuracy	2.0190976988308464	#s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64)))
accuracy	0.0	(*.f64 k k)
accuracy	0.12109375	(/.f64 #s(literal 1/2 binary64) (*.f64 k k))
accuracy	60.585140952956	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 #s(literal 1/2 binary64) (*.f64 k k)))
accuracy	3.036043802262115	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))
accuracy	0.0	(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))
accuracy	0.00390625	(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))))
accuracy	0.015625	(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))
accuracy	0.0234375	(fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64)))

Samples

102.0ms

256×

valid

Compiler

Compiled 217 to 34 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 13.0ms (31.4% of total)

ival-add: 12.0ms (29% of total)

ival-div: 9.0ms (21.7% of total)

const: 4.0ms (9.7% of total)

ival-sub: 2.0ms (4.8% of total)

exact: 1.0ms (2.4% of total)

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

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

series8.0ms (0.3%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

18 → 53

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))
(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 #s(literal 1/2 binary64) (*.f64 k k)))
(/.f64 #s(literal 1/2 binary64) (*.f64 k k))
(*.f64 k k)
(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))
(-.f64 #s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
#s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))))
(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)))
(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64)))
(*.f64 k #s(literal 4 binary64))

Outputs
8
-4
(- (* -16 k) 4)
3
(+ 3 (* 16 k))
(+ 3 (* k (+ 16 (* 16 k))))
8/3
(+ 8/3 (* -128/9 k))
(+ 8/3 (* k (- (* 1664/27 k) 128/9)))
(+ 8/3 (* k (- (* k (+ 1664/27 (* -20480/81 k))) 128/9)))
(/ 1/2 (pow k 2))
(pow k 2)
(+ 3 (* 4 k))
4
(+ 4 (* -16 k))
(+ 4 (* k (- (* 64 k) 16)))
(+ 4 (* k (- (* k (+ 64 (* -256 k))) 16)))
1
(+ 1 (* 4 k))
4/3
(+ 4/3 (* -16/9 k))
(+ 4/3 (* k (- (* 64/27 k) 16/9)))
(+ 4/3 (* k (- (* k (+ 64/27 (* -256/81 k))) 16/9)))
(* 4 k)
(* -16 k)
(* -1 (* k (+ 16 (* 4 (/ 1 k)))))
(* 16 (pow k 2))
(* (pow k 2) (+ 16 (* 16 (/ 1 k))))
(* (pow k 2) (+ 16 (+ (* 16 (/ 1 k)) (/ 3 (pow k 2)))))
(/ (- 1/2 (* 1/2 (/ 1 k))) (pow k 2))
(/ (- (+ 1/2 (/ 13/32 (pow k 2))) (* 1/2 (/ 1 k))) (pow k 2))
(/ (- (+ 1/2 (/ 13/32 (pow k 2))) (+ (* 1/2 (/ 1 k)) (* 5/16 (/ 1 (pow k 3))))) (pow k 2))
(* k (+ 4 (* 3 (/ 1 k))))
(/ 1 k)
(/ (- 1 (* 1/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 1/16 (pow k 2))) (* 1/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 1/16 (pow k 2))) (+ (* 1/4 (/ 1 k)) (* 1/64 (/ 1 (pow k 3))))) k)
(* 64 (pow k 2))
(* (pow k 2) (- 64 (* 16 (/ 1 k))))
(* (pow k 2) (- (+ 64 (/ 4 (pow k 2))) (* 16 (/ 1 k))))
(* k (+ 4 (/ 1 k)))
(/ (- 1 (* 3/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 9/16 (pow k 2))) (* 3/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 9/16 (pow k 2))) (+ (* 3/4 (/ 1 k)) (* 27/64 (/ 1 (pow k 3))))) k)
(/ (+ 1/2 (* -1 (/ (- 1/2 (* 13/32 (/ 1 k))) k))) (pow k 2))
(/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 13/32 (* 5/16 (/ 1 k))) k))) k))) (pow k 2))
(* -1 (/ (- (* 1/4 (/ 1 k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 k)) 1/4) k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 k)) 1/16) k)) 1/4) k)) 1) k))
(* (pow k 2) (+ 64 (* -1 (/ (- 16 (* 4 (/ 1 k))) k))))
(* -1 (/ (- (* 3/4 (/ 1 k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* 9/16 (/ 1 k)) 3/4) k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/64 (/ 1 k)) 9/16) k)) 3/4) k)) 1) k))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	k	@	inf	((+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 1) -4) (* (+ (* 4 k) 3) (+ (* 4 k) 1)) (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 1/2 (* k k)) (* k k) (+ (* k 4) 3) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 4 (+ (* k 4) 1)) (+ (* (+ (* 64 k) -16) k) 4) (- (/ 4 (+ (* 4 k) 1)) (/ 4 (+ (* 4 k) 3))) (/ 4 (+ (* 4 k) 1)) (+ (* 4 k) 1) (/ 4 (+ (* 4 k) 3)) (/ 4 (+ (* k 4) 3)) (* k 4))
2.0ms	k	@	-inf	((+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 1) -4) (* (+ (* 4 k) 3) (+ (* 4 k) 1)) (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 1/2 (* k k)) (* k k) (+ (* k 4) 3) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 4 (+ (* k 4) 1)) (+ (* (+ (* 64 k) -16) k) 4) (- (/ 4 (+ (* 4 k) 1)) (/ 4 (+ (* 4 k) 3))) (/ 4 (+ (* 4 k) 1)) (+ (* 4 k) 1) (/ 4 (+ (* 4 k) 3)) (/ 4 (+ (* k 4) 3)) (* k 4))
2.0ms	k	@	0	((+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 1) -4) (* (+ (* 4 k) 3) (+ (* 4 k) 1)) (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 1/2 (* k k)) (* k k) (+ (* k 4) 3) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 4 (+ (* k 4) 1)) (+ (* (+ (* 64 k) -16) k) 4) (- (/ 4 (+ (* 4 k) 1)) (/ 4 (+ (* 4 k) 3))) (/ 4 (+ (* 4 k) 1)) (+ (* 4 k) 1) (/ 4 (+ (* 4 k) 3)) (/ 4 (+ (* k 4) 3)) (* k 4))

Time

Variable

Point

Expression

3.0ms

inf

((+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 1) -4) (* (+ (* 4 k) 3) (+ (* 4 k) 1)) (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 1/2 (* k k)) (* k k) (+ (* k 4) 3) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 4 (+ (* k 4) 1)) (+ (* (+ (* 64 k) -16) k) 4) (- (/ 4 (+ (* 4 k) 1)) (/ 4 (+ (* 4 k) 3))) (/ 4 (+ (* 4 k) 1)) (+ (* 4 k) 1) (/ 4 (+ (* 4 k) 3)) (/ 4 (+ (* k 4) 3)) (* k 4))

2.0ms

-inf

((+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 1) -4) (* (+ (* 4 k) 3) (+ (* 4 k) 1)) (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 1/2 (* k k)) (* k k) (+ (* k 4) 3) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 4 (+ (* k 4) 1)) (+ (* (+ (* 64 k) -16) k) 4) (- (/ 4 (+ (* 4 k) 1)) (/ 4 (+ (* 4 k) 3))) (/ 4 (+ (* 4 k) 1)) (+ (* 4 k) 1) (/ 4 (+ (* 4 k) 3)) (/ 4 (+ (* k 4) 3)) (* k 4))

2.0ms

((+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 1) -4) (* (+ (* 4 k) 3) (+ (* 4 k) 1)) (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 1/2 (* k k)) (* k k) (+ (* k 4) 3) (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/ 4 (+ (* k 4) 1)) (+ (* (+ (* 64 k) -16) k) 4) (- (/ 4 (+ (* 4 k) 1)) (/ 4 (+ (* 4 k) 3))) (/ 4 (+ (* 4 k) 1)) (+ (* 4 k) 1) (/ 4 (+ (* 4 k) 3)) (/ 4 (+ (* k 4) 3)) (* k 4))

simplify120.0ms (3.9%)

Memory

32.4MiB live, 32.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	441
1	581	425
2	1357	413
3	3052	401
0	8205	366

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 53

Calls

Call 1

Inputs
8
-4
(- (* -16 k) 4)
3
(+ 3 (* 16 k))
(+ 3 (* k (+ 16 (* 16 k))))
8/3
(+ 8/3 (* -128/9 k))
(+ 8/3 (* k (- (* 1664/27 k) 128/9)))
(+ 8/3 (* k (- (* k (+ 1664/27 (* -20480/81 k))) 128/9)))
(/ 1/2 (pow k 2))
(pow k 2)
(+ 3 (* 4 k))
4
(+ 4 (* -16 k))
(+ 4 (* k (- (* 64 k) 16)))
(+ 4 (* k (- (* k (+ 64 (* -256 k))) 16)))
1
(+ 1 (* 4 k))
4/3
(+ 4/3 (* -16/9 k))
(+ 4/3 (* k (- (* 64/27 k) 16/9)))
(+ 4/3 (* k (- (* k (+ 64/27 (* -256/81 k))) 16/9)))
(* 4 k)
(* -16 k)
(* -1 (* k (+ 16 (* 4 (/ 1 k)))))
(* 16 (pow k 2))
(* (pow k 2) (+ 16 (* 16 (/ 1 k))))
(* (pow k 2) (+ 16 (+ (* 16 (/ 1 k)) (/ 3 (pow k 2)))))
(/ (- 1/2 (* 1/2 (/ 1 k))) (pow k 2))
(/ (- (+ 1/2 (/ 13/32 (pow k 2))) (* 1/2 (/ 1 k))) (pow k 2))
(/ (- (+ 1/2 (/ 13/32 (pow k 2))) (+ (* 1/2 (/ 1 k)) (* 5/16 (/ 1 (pow k 3))))) (pow k 2))
(* k (+ 4 (* 3 (/ 1 k))))
(/ 1 k)
(/ (- 1 (* 1/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 1/16 (pow k 2))) (* 1/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 1/16 (pow k 2))) (+ (* 1/4 (/ 1 k)) (* 1/64 (/ 1 (pow k 3))))) k)
(* 64 (pow k 2))
(* (pow k 2) (- 64 (* 16 (/ 1 k))))
(* (pow k 2) (- (+ 64 (/ 4 (pow k 2))) (* 16 (/ 1 k))))
(* k (+ 4 (/ 1 k)))
(/ (- 1 (* 3/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 9/16 (pow k 2))) (* 3/4 (/ 1 k))) k)
(/ (- (+ 1 (/ 9/16 (pow k 2))) (+ (* 3/4 (/ 1 k)) (* 27/64 (/ 1 (pow k 3))))) k)
(/ (+ 1/2 (* -1 (/ (- 1/2 (* 13/32 (/ 1 k))) k))) (pow k 2))
(/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 13/32 (* 5/16 (/ 1 k))) k))) k))) (pow k 2))
(* -1 (/ (- (* 1/4 (/ 1 k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 k)) 1/4) k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 k)) 1/16) k)) 1/4) k)) 1) k))
(* (pow k 2) (+ 64 (* -1 (/ (- 16 (* 4 (/ 1 k))) k))))
(* -1 (/ (- (* 3/4 (/ 1 k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* 9/16 (/ 1 k)) 3/4) k)) 1) k))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/64 (/ 1 k)) 9/16) k)) 3/4) k)) 1) k))

Outputs
8
#s(literal 8 binary64)
-4
#s(literal -4 binary64)
(- (* -16 k) 4)
(fma.f64 #s(literal -16 binary64) k #s(literal -4 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 16 k))
(fma.f64 #s(literal 16 binary64) k #s(literal 3 binary64))
(+ 3 (* k (+ 16 (* 16 k))))
(fma.f64 (fma.f64 k k k) #s(literal 16 binary64) #s(literal 3 binary64))
8/3
#s(literal 8/3 binary64)
(+ 8/3 (* -128/9 k))
(fma.f64 #s(literal -128/9 binary64) k #s(literal 8/3 binary64))
(+ 8/3 (* k (- (* 1664/27 k) 128/9)))
(fma.f64 (fma.f64 #s(literal 1664/27 binary64) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64))
(+ 8/3 (* k (- (* k (+ 1664/27 (* -20480/81 k))) 128/9)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -20480/81 binary64) k #s(literal 1664/27 binary64)) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64))
(/ 1/2 (pow k 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 k k))
(pow k 2)
(*.f64 k k)
(+ 3 (* 4 k))
(fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))
4
#s(literal 4 binary64)
(+ 4 (* -16 k))
(fma.f64 #s(literal -16 binary64) k #s(literal 4 binary64))
(+ 4 (* k (- (* 64 k) 16)))
(fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))
(+ 4 (* k (- (* k (+ 64 (* -256 k))) 16)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -256 binary64) k #s(literal 64 binary64)) k #s(literal -16 binary64)) k #s(literal 4 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 k))
(fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* -16/9 k))
(fma.f64 #s(literal -16/9 binary64) k #s(literal 4/3 binary64))
(+ 4/3 (* k (- (* 64/27 k) 16/9)))
(fma.f64 (fma.f64 #s(literal 64/27 binary64) k #s(literal -16/9 binary64)) k #s(literal 4/3 binary64))
(+ 4/3 (* k (- (* k (+ 64/27 (* -256/81 k))) 16/9)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -256/81 binary64) k #s(literal 64/27 binary64)) k #s(literal -16/9 binary64)) k #s(literal 4/3 binary64))
(* 4 k)
(*.f64 #s(literal 4 binary64) k)
(* -16 k)
(*.f64 #s(literal -16 binary64) k)
(* -1 (* k (+ 16 (* 4 (/ 1 k)))))
(fma.f64 #s(literal -16 binary64) k #s(literal -4 binary64))
(* 16 (pow k 2))
(.f64 (.f64 k k) #s(literal 16 binary64))
(* (pow k 2) (+ 16 (* 16 (/ 1 k))))
(*.f64 (fma.f64 k k k) #s(literal 16 binary64))
(* (pow k 2) (+ 16 (+ (* 16 (/ 1 k)) (/ 3 (pow k 2)))))
(fma.f64 (fma.f64 k k k) #s(literal 16 binary64) #s(literal 3 binary64))
(/ (- 1/2 (* 1/2 (/ 1 k))) (pow k 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) k)) k) k)
(/ (- (+ 1/2 (/ 13/32 (pow k 2))) (* 1/2 (/ 1 k))) (pow k 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 13/32 binary64) k)) k)) (*.f64 k k))
(/ (- (+ 1/2 (/ 13/32 (pow k 2))) (+ (* 1/2 (/ 1 k)) (* 5/16 (/ 1 (pow k 3))))) (pow k 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 13/32 binary64) (/.f64 #s(literal 5/16 binary64) k)) k)) k)) (*.f64 k k))
(* k (+ 4 (* 3 (/ 1 k))))
(fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))
(/ 1 k)
(/.f64 #s(literal 1 binary64) k)
(/ (- 1 (* 1/4 (/ 1 k))) k)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) k)) k)
(/ (- (+ 1 (/ 1/16 (pow k 2))) (* 1/4 (/ 1 k))) k)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) k) #s(literal 1/4 binary64)) k) #s(literal -1 binary64)) k)
(/ (- (+ 1 (/ 1/16 (pow k 2))) (+ (* 1/4 (/ 1 k)) (* 1/64 (/ 1 (pow k 3))))) k)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) k) #s(literal 1/16 binary64)) k)) k) #s(literal -1 binary64)) k)
(* 64 (pow k 2))
(.f64 (.f64 #s(literal 64 binary64) k) k)
(* (pow k 2) (- 64 (* 16 (/ 1 k))))
(*.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k)
(* (pow k 2) (- (+ 64 (/ 4 (pow k 2))) (* 16 (/ 1 k))))
(fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))
(* k (+ 4 (/ 1 k)))
(fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))
(/ (- 1 (* 3/4 (/ 1 k))) k)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) k)) k)
(/ (- (+ 1 (/ 9/16 (pow k 2))) (* 3/4 (/ 1 k))) k)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/16 binary64) k) #s(literal 3/4 binary64)) k) #s(literal -1 binary64)) k)
(/ (- (+ 1 (/ 9/16 (pow k 2))) (+ (* 3/4 (/ 1 k)) (* 27/64 (/ 1 (pow k 3))))) k)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/64 binary64) k) #s(literal 9/16 binary64)) k)) k) #s(literal -1 binary64)) k)
(/ (+ 1/2 (* -1 (/ (- 1/2 (* 13/32 (/ 1 k))) k))) (pow k 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 13/32 binary64) k)) k)) (*.f64 k k))
(/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 13/32 (* 5/16 (/ 1 k))) k))) k))) (pow k 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 13/32 binary64) (/.f64 #s(literal 5/16 binary64) k)) k)) k)) (*.f64 k k))
(* -1 (/ (- (* 1/4 (/ 1 k)) 1) k))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) k)) k)
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 k)) 1/4) k)) 1) k))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) k) #s(literal 1/4 binary64)) k) #s(literal -1 binary64)) k)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 k)) 1/16) k)) 1/4) k)) 1) k))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) k) #s(literal 1/16 binary64)) k)) k) #s(literal -1 binary64)) k)
(* (pow k 2) (+ 64 (* -1 (/ (- 16 (* 4 (/ 1 k))) k))))
(fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))
(* -1 (/ (- (* 3/4 (/ 1 k)) 1) k))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) k)) k)
(* -1 (/ (- (* -1 (/ (- (* 9/16 (/ 1 k)) 3/4) k)) 1) k))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/16 binary64) k) #s(literal 3/4 binary64)) k) #s(literal -1 binary64)) k)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/64 (/ 1 k)) 9/16) k)) 3/4) k)) 1) k))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/64 binary64) k) #s(literal 9/16 binary64)) k)) k) #s(literal -1 binary64)) k)

rewrite177.0ms (5.8%)

Memory

-18.1MiB live, 57.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	184
0	57	175
1	275	175
2	1655	175
0	8401	175

Stop Event

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

Counts

18 → 496

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))
(*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 #s(literal 1/2 binary64) (*.f64 k k)))
(/.f64 #s(literal 1/2 binary64) (*.f64 k k))
(*.f64 k k)
(+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))
(-.f64 #s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
#s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))))
(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)))
(/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64)))
(*.f64 k #s(literal 4 binary64))

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 k #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
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eval75.0ms (2.4%)

Memory: -15.7MiB live, 60.2MiB allocated
Compiler: Compiled 19 268 to 1 924 computations (90% saved)

prune13.0ms (0.4%)

Memory

24.7MiB live, 24.7MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	570	6	576
Fresh	9	0	9
Picked	3	2	5
Done	0	0	0
Total	582	8	590

Accuracy

100.0%

Counts

590 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 #s(approx (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))))
	95.4%	(-.f64 #s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64))))
	96.6%	#s(approx (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -20480/81 binary64) k #s(literal 1664/27 binary64)) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
	96.8%	#s(approx (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (fma.f64 (fma.f64 #s(literal 1664/27 binary64) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
	96.2%	#s(approx (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (fma.f64 #s(literal -128/9 binary64) k #s(literal 8/3 binary64)))
	5.3%	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 (/.f64 #s(literal 1/2 binary64) k) k))
✓	5.3%	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 #s(literal 1/2 binary64) (*.f64 k k)))
✓	95.3%	#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))

Compiler

Compiled 736 to 242 computations (67.1% saved)

regimes13.0ms (0.4%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 #s(literal -128/9 binary64) k #s(literal 8/3 binary64)))
#s(approx (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (fma.f64 #s(literal -128/9 binary64) k #s(literal 8/3 binary64)))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 (fma.f64 #s(literal 1664/27 binary64) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
#s(approx (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (fma.f64 (fma.f64 #s(literal 1664/27 binary64) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 #s(literal 1/2 binary64) (*.f64 k k)))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 (fma.f64 (fma.f64 #s(literal -20480/81 binary64) k #s(literal 1664/27 binary64)) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
#s(approx (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -20480/81 binary64) k #s(literal 1664/27 binary64)) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 (/.f64 #s(literal 1/2 binary64) k) k))
(/.f64 #s(approx (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))))
(-.f64 #s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 k #s(literal 4 binary64) #s(literal 3 binary64))))
(-.f64 #s(approx (/ 4 (+ (* k 4) 1)) (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
(-.f64 #s(approx (/ 4 (+ (* k 4) 1)) (fma.f64 (fma.f64 #s(literal 64 binary64) k #s(literal -16 binary64)) k #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) #s(approx (/ 4 (+ ( k 4) 3)) (fma.f64 (fma.f64 #s(literal 64/27 binary64) k #s(literal -16/9 binary64)) k #s(literal 4/3 binary64))))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) k)) k) k))
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 13/32 binary64) k)) k)) (*.f64 k k)))
(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal -4 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 k k) #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) k #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64)))))

Outputs

(/.f64 #s(approx (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))))

Calls

3 calls:

4.0ms

(*.f64 k #s(literal 4 binary64))

4.0ms

(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))

Results

Accuracy	Segments	Branch
100.0%	1	`k`
100.0%	1	`(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))`
100.0%	1	`(*.f64 k #s(literal 4 binary64))`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes7.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 #s(literal -128/9 binary64) k #s(literal 8/3 binary64)))
#s(approx (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (fma.f64 #s(literal -128/9 binary64) k #s(literal 8/3 binary64)))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 (fma.f64 #s(literal 1664/27 binary64) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
#s(approx (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (fma.f64 (fma.f64 #s(literal 1664/27 binary64) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 #s(literal 1/2 binary64) (*.f64 k k)))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 (fma.f64 (fma.f64 #s(literal -20480/81 binary64) k #s(literal 1664/27 binary64)) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
#s(approx (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -20480/81 binary64) k #s(literal 1664/27 binary64)) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (/.f64 (/.f64 #s(literal 1/2 binary64) k) k))

Outputs
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 (fma.f64 #s(literal 1664/27 binary64) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))

Calls

3 calls:

2.0ms

(*.f64 k #s(literal 4 binary64))

2.0ms

(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))

Results

Accuracy	Segments	Branch
96.8%	1	`k`
96.8%	1	`(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))`
96.8%	1	`(*.f64 k #s(literal 4 binary64))`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))

#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 #s(literal -128/9 binary64) k #s(literal 8/3 binary64)))

#s(approx (/ (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) (* (+ (* 4 k) 3) (+ (* 4 k) 1))) (fma.f64 #s(literal -128/9 binary64) k #s(literal 8/3 binary64)))

Outputs
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 #s(literal -128/9 binary64) k #s(literal 8/3 binary64)))

Calls

3 calls:

1.0ms

(*.f64 k #s(literal 4 binary64))

1.0ms

(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))

Results

Accuracy	Segments	Branch
96.2%	1	`k`
96.2%	1	`(*.f64 k #s(literal 4 binary64))`
96.2%	1	`(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes3.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))

Outputs
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))

Calls

3 calls:

1.0ms

(*.f64 k #s(literal 4 binary64))

1.0ms

(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))

Results

Accuracy	Segments	Branch
95.3%	1	`(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 k #s(literal 4 binary64)) #s(literal 3 binary64))))`
95.3%	1	`k`
95.3%	1	`(*.f64 k #s(literal 4 binary64))`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify80.0ms (2.6%)

Memory

-65.9MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	87
1	45	87
2	69	87
3	134	85
4	207	85
5	301	83
6	452	83
7	1158	83
8	2799	83
9	7603	83

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 (fma.f64 #s(literal 1664/27 binary64) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 #s(literal -128/9 binary64) k #s(literal 8/3 binary64)))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))

Outputs
(/.f64 #s(approx (+ (* (+ (* 4 k) 3) 4) (* (+ (* 4 k) 1) -4)) #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) k #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) k #s(literal 1 binary64))))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 (fma.f64 #s(literal 1664/27 binary64) k #s(literal -128/9 binary64)) k #s(literal 8/3 binary64)))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) (fma.f64 #s(literal -128/9 binary64) k #s(literal 8/3 binary64)))
#s(approx (- (/ 4 (+ (* k 4) 1)) (/ 4 (+ (* k 4) 3))) #s(literal 8/3 binary64))

soundness537.0ms (17.5%)

Memory

5.4MiB live, 5.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	354
1	473	338
2	1039	330
3	2267	318
4	6658	318
0	8076	296
0	10	42
0	16	42
1	78	42
2	736	42
0	8362	36
0	198	441
1	581	425
2	1357	413
3	3052	401
0	8205	366

Stop Event

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

Compiler

Compiled 125 to 66 computations (47.2% saved)

preprocess24.0ms (0.8%)

Memory: 16.3MiB live, 16.3MiB allocated
Compiler: Compiled 204 to 90 computations (55.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

4/(k4 + 1) - 4/(k4 + 3)

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (37.6%)

explain145.0ms (4.7%)

preprocess26.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.4%)

localize24.0ms (0.8%)

series5.0ms (0.1%)

simplify145.0ms (4.7%)

rewrite143.0ms (4.7%)

eval56.0ms (1.8%)

prune12.0ms (0.4%)

simplify163.0ms (5.3%)

localize121.0ms (3.9%)

series8.0ms (0.3%)

simplify120.0ms (3.9%)

rewrite177.0ms (5.8%)

eval75.0ms (2.4%)

prune13.0ms (0.4%)

regimes13.0ms (0.4%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify80.0ms (2.6%)

soundness537.0ms (17.5%)

preprocess24.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	35
1	26	31
2	59	30
3	114	30
4	199	30
5	311	30
6	361	30
7	377	30
0	10	15
0	16	15
1	23	15
2	32	15
3	46	15
4	73	15
5	104	15
6	154	15
7	211	15
8	307	15
9	366	15
10	391	15
11	400	15
0	400	13

Iter	Nodes	Cost
0	10	46
0	16	46
1	23	46
2	32	46
3	46	46
4	73	46
5	104	46
6	154	46
7	211	46
8	307	46
9	366	46
10	391	46
11	400	46
0	400	40

Iter	Nodes	Cost
0	12	35
1	26	31
2	59	30
3	114	30
4	199	30
5	311	30
6	361	30
7	377	30
0	10	15
0	16	15
1	23	15
2	32	15
3	46	15
4	73	15
5	104	15
6	154	15
7	211	15
8	307	15
9	366	15
10	391	15
11	400	15
0	400	13

Iter	Nodes	Cost
0	10	46
0	16	46
1	23	46
2	32	46
3	46	46
4	73	46
5	104	46
6	154	46
7	211	46
8	307	46
9	366	46
10	391	46
11	400	46
0	400	40

Iter	Nodes	Cost
0	12	35
1	26	31
2	59	30
3	114	30
4	199	30
5	311	30
6	361	30
7	377	30
0	10	15
0	16	15
1	23	15
2	32	15
3	46	15
4	73	15
5	104	15
6	154	15
7	211	15
8	307	15
9	366	15
10	391	15
11	400	15
0	400	13

Iter	Nodes	Cost
0	10	46
0	16	46
1	23	46
2	32	46
3	46	46
4	73	46
5	104	46
6	154	46
7	211	46
8	307	46
9	366	46
10	391	46
11	400	46
0	400	40