Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample813.0ms (17.4%)

Memory

1.8MiB live, 700.6MiB allocated

Samples

540.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-div: 105.0ms (38.3% of total)

ival-mult: 101.0ms (36.8% of total)

ival-sub: 46.0ms (16.8% of total)

exact: 10.0ms (3.6% of total)

ival-true: 7.0ms (2.6% of total)

ival-assert: 4.0ms (1.5% of total)

Bogosity

explain86.0ms (1.8%)

Memory

17.8MiB live, 95.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 6 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
-	-	`(*.f64 x x)`
-	-	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
-	-	`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

23.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-div: 4.0ms (35.3% of total)

ival-mult: 4.0ms (35.3% of total)

ival-sub: 2.0ms (17.6% of total)

exact: 1.0ms (8.8% of total)

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

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

preprocess349.0ms (7.5%)

Memory

0.9MiB live, 247.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	36	14
2	97	14
3	292	14
4	828	14
5	1114	14
6	1343	14
7	2402	14
8	3076	14
9	4188	14
10	5799	14
11	6578	14
12	7659	14
0	6	7
0	9	7
1	21	7
2	50	7
3	156	7
4	544	7
5	976	7
6	1631	7
7	3622	7
8	4399	7
9	5196	7
10	5552	7
11	5906	7
12	6447	7
13	6704	7
0	8261	6

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify244.0ms (5.2%)

Memory

18.8MiB live, 212.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	128	(-.f64 (*.f64 x x) #s(literal 3 binary64))
cost-diff	384	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	21	18
2	50	18
3	156	18
4	544	18
5	976	18
6	1631	18
7	3622	18
8	4399	18
9	5196	18
10	5552	18
11	5906	18
12	6447	18
13	6704	18
0	8261	16

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(fma.f64 x x #s(literal -3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

localize19.0ms (0.4%)

Memory

-6.5MiB live, 32.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.078125	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

14.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (60.1% of total)

ival-div: 2.0ms (24% of total)

ival-sub: 1.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

3 → 8

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
1.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
0.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))

simplify98.0ms (2.1%)

Memory

-16.3MiB live, 108.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	44	34
2	106	34
3	375	34
4	1987	34
5	4601	34
6	7075	34
0	8063	30

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))

rewrite203.0ms (4.3%)

Memory

-19.3MiB live, 266.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	47	15
2	289	15
3	2649	15
0	8535	13

Stop Event

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

Counts

3 → 400

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal -1/6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (pow.f64 (.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/6 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -1/6 binary64))) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal -1/6 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/6 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))))
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(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -3 binary64))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 x x #s(literal -3 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))) (/.f64 #s(literal -27 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))) (/.f64 #s(literal -27 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))))))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 27 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 3 binary64)))) (/.f64 #s(literal 81 binary64) (.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 19683 binary64) (.f64 (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal 3 binary64)))) (/.f64 #s(literal 729 binary64) (.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 729 binary64) (.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal 9 binary64)))) (fma.f64 x x #s(literal 3 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (.f64 x x))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64))))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64))))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -3 binary64))) (fma.f64 x x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))) (/.f64 #s(literal -27 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64)))
(-.f64 #s(literal -3 binary64) (*.f64 x x))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal -27 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)))) (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal -3 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -3 binary64))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(fabs.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) x))
(fabs.f64 (*.f64 x (-.f64 x #s(literal 0 binary64))))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval46.0ms (1%)

Memory: 35.2MiB live, 111.7MiB allocated
Compiler: Compiled 9 046 to 1 196 computations (86.8% saved)

prune13.0ms (0.3%)

Memory

-9.3MiB live, 35.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	398	8	406
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	399	8	407

Accuracy

100.0%

Counts

407 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	99.9%	(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
▶	90.8%	(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
	60.0%	(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (fma.f64 x x #s(literal 3 binary64)))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
	51.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	48.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 142 to 122 computations (14.1% saved)

simplify175.0ms (3.8%)

Memory

3.1MiB live, 120.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64))
cost-diff	384	(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	128	(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
cost-diff	384	(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
cost-diff	6784	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	94
0	41	87
1	69	87
2	128	87
3	322	87
4	814	86
5	1314	86
6	1867	86
7	3358	86
8	3903	86
9	4577	86
10	4973	86
11	5438	86
12	6203	86
13	6547	86
14	7339	86
15	7985	86
0	8150	86

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
#s(literal 6 binary64)
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 6 binary64)
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 x)
#s(literal -3 binary64)
#s(literal 6 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
#s(literal 6 binary64)
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
x
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
(fma.f64 x x #s(literal -3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 6 binary64)
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
(*.f64 (fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 x)
#s(literal -3 binary64)
#s(literal 6 binary64)

localize85.0ms (1.8%)

Memory

1.9MiB live, 162.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 3/2 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.078125	(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
accuracy	0.08203125	(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64))
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	0	(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
accuracy	0.078125	(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	12.412999763060546	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy	0.06640625	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.38671875	(*.f64 x #s(literal 1/6 binary64))
accuracy	32.724680814704264	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0390625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
accuracy	0.2798276157842662	(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))

Samples

68.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 194 to 57 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-pow: 9.0ms (22.4% of total)

ival-div: 8.0ms (19.9% of total)

ival-mult: 8.0ms (19.9% of total)

const: 4.0ms (10% of total)

ival-sqrt: 4.0ms (10% of total)

ival-add: 4.0ms (10% of total)

ival-sub: 2.0ms (5% of total)

exact: 1.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

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

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

series15.0ms (0.3%)

Memory

-18.0MiB live, 23.6MiB allocated

Counts

14 → 26

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 x)

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-2
(- (* -2/3 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
-3
(- (pow x 2) 3)
(* 1/6 x)
(pow x 2)
(pow x 4)
(sqrt (pow x 3))
(sqrt x)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* 1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (- (* 1/6 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (pow (sqrt -1) 2))
(* (pow x 2) (- (pow (sqrt -1) 2) (* 3 (/ 1 (pow x 2)))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (sqrt (pow x 4)) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (pow x 4) (/ (+ (* (pow x 3/2) (sqrt x)) -3) 6) (+ (* (pow x 3/2) (sqrt x)) -3) (pow x 3/2) (sqrt x))
6.0ms	x	@	inf	((/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (sqrt (pow x 4)) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (pow x 4) (/ (+ (* (pow x 3/2) (sqrt x)) -3) 6) (+ (* (pow x 3/2) (sqrt x)) -3) (pow x 3/2) (sqrt x))
2.0ms	x	@	0	((/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (sqrt (pow x 4)) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (pow x 4) (/ (+ (* (pow x 3/2) (sqrt x)) -3) 6) (+ (* (pow x 3/2) (sqrt x)) -3) (pow x 3/2) (sqrt x))

Time

Variable

Point

Expression

6.0ms

-inf

((/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (sqrt (pow x 4)) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (pow x 4) (/ (+ (* (pow x 3/2) (sqrt x)) -3) 6) (+ (* (pow x 3/2) (sqrt x)) -3) (pow x 3/2) (sqrt x))

6.0ms

inf

((/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (sqrt (pow x 4)) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (pow x 4) (/ (+ (* (pow x 3/2) (sqrt x)) -3) 6) (+ (* (pow x 3/2) (sqrt x)) -3) (pow x 3/2) (sqrt x))

2.0ms

((/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (sqrt (pow x 4)) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (pow x 4) (/ (+ (* (pow x 3/2) (sqrt x)) -3) 6) (+ (* (pow x 3/2) (sqrt x)) -3) (pow x 3/2) (sqrt x))

simplify17.0ms (0.4%)

Memory

-8.6MiB live, 30.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	217
0	161	209

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

26 → 26

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-2
(- (* -2/3 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
-3
(- (pow x 2) 3)
(* 1/6 x)
(pow x 2)
(pow x 4)
(sqrt (pow x 3))
(sqrt x)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* 1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (- (* 1/6 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (pow (sqrt -1) 2))
(* (pow x 2) (- (pow (sqrt -1) 2) (* 3 (/ 1 (pow x 2)))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow x 2)) 2)
(fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(fma.f64 (fma.f64 #s(literal -2/9 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/27 binary64) (.f64 x x) #s(literal -2/9 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt x)
(sqrt.f64 x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (.f64 x x)) #s(literal 6 binary64)) (.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 18 binary64) (.f64 x x))) #s(literal 6 binary64)) (.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 18 binary64) (.f64 x x))) #s(literal 6 binary64)) (.f64 x x))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (*.f64 x x))
(* 1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (pow x 2) (- (* 1/6 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))
(* (pow x 2) (pow (sqrt -1) 2))
(.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 x x))
(* (pow x 2) (- (pow (sqrt -1) 2) (* 3 (/ 1 (pow x 2)))))
(.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (.f64 x x))) (*.f64 x x))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)))

rewrite152.0ms (3.3%)

Memory

31.2MiB live, 307.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	78
0	41	64
1	167	64
2	935	64
0	8173	64

Stop Event

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

Counts

14 → 1 892

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 x)

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal -3/2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -27 binary64))) (+.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal -3/2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) #s(literal -9/2 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) #s(literal -9/2 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
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(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 x) x)
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))))))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x))))

eval146.0ms (3.1%)

Memory: 10.0MiB live, 163.7MiB allocated
Compiler: Compiled 14 820 to 2 418 computations (83.7% saved)

prune19.0ms (0.4%)

Memory

-19.2MiB live, 54.8MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	760	4	764
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	764	8	772

Accuracy

100.0%

Counts

772 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
	99.8%	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
▶	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
▶	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
▶	51.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
▶	51.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	48.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 135 to 109 computations (19.3% saved)

simplify179.0ms (3.8%)

Memory

15.3MiB live, 104.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))
cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 6 binary64) (*.f64 x x))
cost-diff	0	#s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	384	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
cost-diff	384	(/.f64 x #s(literal 6 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	118
0	40	111
1	67	111
2	122	111
3	313	111
4	849	111
5	1286	111
6	1814	111
7	3463	111
8	4145	111
9	4853	111
10	5293	111
11	5948	111
12	7084	111
13	7883	111
0	8215	111

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
#s(literal 1 binary64)
#s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
#s(literal 6 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal -6 binary64)

Outputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
(/.f64 x #s(literal 6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
x
#s(literal 6 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
#s(literal 1 binary64)
#s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
#s(literal 6 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal -6 binary64)

localize69.0ms (1.5%)

Memory

1.9MiB live, 76.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0390625	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
accuracy	0.09669877930532605	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))
accuracy	0.2717806688288941	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.0390625	(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
accuracy	0.3149838657842662	(/.f64 #s(literal 6 binary64) (*.f64 x x))
accuracy	31.365317278838052	#s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.078125	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.16015625	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	30.780691250707335	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0	(/.f64 x #s(literal 6 binary64))
accuracy	0.06640625	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))

Samples

50.0ms

256×

valid

Compiler

Compiled 231 to 55 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 22.0ms (59.7% of total)

ival-mult: 6.0ms (16.3% of total)

const: 3.0ms (8.1% of total)

ival-add: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

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

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

series4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

13 → 25

Calls

Call 1

Inputs
(/.f64 x #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 x x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
#s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))

Outputs
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(pow x 2)
-3
(- (pow x 2) 3)
-2
(- (* -2/3 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(/ 6 (pow x 2))
1/3
(+ 1/3 (* 1/9 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((/ x 6) (+ (* (/ x 6) x) -1/2) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (/ 6 (* x x)) (/ 1 (* (/ -1 (+ (* x x) -3)) -6)) (* (/ -1 (+ (* x x) -3)) -6) (/ -1 (+ (* x x) -3)))

1.0ms

((/ x 6) (+ (* (/ x 6) x) -1/2) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (/ 6 (* x x)) (/ 1 (* (/ -1 (+ (* x x) -3)) -6)) (* (/ -1 (+ (* x x) -3)) -6) (/ -1 (+ (* x x) -3)))

1.0ms

-inf

((/ x 6) (+ (* (/ x 6) x) -1/2) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (/ 6 (* x x)) (/ 1 (* (/ -1 (+ (* x x) -3)) -6)) (* (/ -1 (+ (* x x) -3)) -6) (/ -1 (+ (* x x) -3)))

simplify137.0ms (2.9%)

Memory

-33.5MiB live, 121.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	232
1	255	231
2	782	229
3	3308	229
0	8306	213

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

Inputs
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(pow x 2)
-3
(- (pow x 2) 3)
-2
(- (* -2/3 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(/ 6 (pow x 2))
1/3
(+ 1/3 (* 1/9 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))

Outputs
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow x 2)) 2)
(fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(fma.f64 (fma.f64 #s(literal -2/9 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/27 binary64) (.f64 x x) #s(literal -2/9 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/9 (pow x 2)))
(fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 x x) #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 x x) #s(literal 1/27 binary64)) (.f64 x x) #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)) (/.f64 #s(literal -18 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -162 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -18 binary64) (.f64 x x)) #s(literal 6 binary64))) (.f64 x x))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))

rewrite207.0ms (4.4%)

Memory

36.4MiB live, 236.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	95
0	40	88
1	152	88
2	840	88
3	7924	88
0	8090	88

Stop Event

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

Counts

13 → 1 294

Calls

Call 1

Inputs
(/.f64 x #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 x x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
#s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))

Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -1/6 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -6 binary64))
(/.f64 (neg.f64 x) #s(literal -6 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(/.f64 x #s(literal 6 binary64))
(neg.f64 (*.f64 #s(literal -1/6 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/6 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -27 binary64))) (+.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/6 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (-.f64 (.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (pow.f64 (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 (fabs.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/6 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
(.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))))))
(*.f64 #s(literal -1/6 binary64) (fma.f64 (neg.f64 x) x #s(literal 3 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64)))
(.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64))))
(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/6 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -1/6 binary64)) (fma.f64 (neg.f64 x) x #s(literal -3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/6 binary64)) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
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(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal -3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (fma.f64 x x #s(literal 3 binary64)) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (neg.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 3 binary64)))
(neg.f64 (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (.f64 x x) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (*.f64 x x) #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))
(fma.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 x) x #s(literal 3 binary64))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (fma.f64 (neg.f64 x) x #s(literal 3 binary64))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (fma.f64 (neg.f64 x) x #s(literal 3 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 x x) #s(literal 3 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))

eval144.0ms (3.1%)

Memory: -15.7MiB live, 196.4MiB allocated
Compiler: Compiled 21 003 to 2 735 computations (87% saved)

prune21.0ms (0.4%)

Memory

-16.8MiB live, 57.6MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	989	3	992
Fresh	0	1	1
Picked	2	3	5
Done	0	2	2
Total	991	9	1 000

Accuracy

100.0%

Counts

1 000 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	99.8%	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
✓	51.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
▶	51.8%	#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
▶	51.8%	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
✓	51.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	51.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	48.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 98 to 77 computations (21.4% saved)

simplify220.0ms (4.7%)

Memory

4.3MiB live, 156.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) x)
cost-diff	384	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
cost-diff	1600	(fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
cost-diff	384	(/.f64 (*.f64 x x) #s(literal 6 binary64))
cost-diff	0	(/.f64 #s(literal 6 binary64) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
cost-diff	768	(/.f64 x (/.f64 #s(literal 6 binary64) x))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	96
0	32	96
1	56	96
2	100	90
3	285	90
4	774	90
5	1678	90
6	2307	90
7	2984	90
8	3493	90
9	4341	90
10	5887	90
11	7849	90
0	8065	85

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
x
(/.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal -3 binary64)
#s(literal 6 binary64)

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
x
(/.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64))
(fma.f64 x x #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal -3 binary64)
#s(literal 6 binary64)

localize84.0ms (1.8%)

Memory

13.4MiB live, 101.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 x)
accuracy	0.078125	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
accuracy	0.08203125	(fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64))
accuracy	0.12109375	(*.f64 (sqrt.f64 x) x)
accuracy	0	(*.f64 x x)
accuracy	0.1484375	(/.f64 (*.f64 x x) #s(literal 6 binary64))
accuracy	30.538514768359924	#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
accuracy	0	(/.f64 #s(literal 6 binary64) x)
accuracy	0.11328125	(/.f64 x (/.f64 #s(literal 6 binary64) x))
accuracy	30.538514768359924	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
accuracy	0.12890625	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.38671875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	30.538514768359924	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Samples

38.0ms	255×	0	valid
0.0ms	1×	5	exit

Compiler

Compiled 178 to 42 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 11.0ms (39.7% of total)

ival-mult: 8.0ms (28.9% of total)

const: 3.0ms (10.8% of total)

ival-sqrt: 2.0ms (7.2% of total)

ival-sub: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

13 → 18

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 #s(literal 6 binary64) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(*.f64 x x)
(fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/6 x)
(/ 6 x)
(pow x 2)
-3
(- (pow x 2) 3)
(sqrt (pow x 3))
(sqrt x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (- (* -1 (pow (sqrt -1) 2)) (* 3 (/ 1 (pow x 2)))))
(* -1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (- (* -1/6 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ x (/ 6 x)) (/ (- (* x x) 3) 6) (/ 6 x) (/ (* x x) 6) (/ (- (* x x) 3) 6) (* x x) (+ (* (* (sqrt x) x) (sqrt x)) -3) (/ (+ (* (* (sqrt x) x) (sqrt x)) -3) 6) (* (sqrt x) x) (sqrt x))

2.0ms

inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ x (/ 6 x)) (/ (- (* x x) 3) 6) (/ 6 x) (/ (* x x) 6) (/ (- (* x x) 3) 6) (* x x) (+ (* (* (sqrt x) x) (sqrt x)) -3) (/ (+ (* (* (sqrt x) x) (sqrt x)) -3) 6) (* (sqrt x) x) (sqrt x))

1.0ms

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ x (/ 6 x)) (/ (- (* x x) 3) 6) (/ 6 x) (/ (* x x) 6) (/ (- (* x x) 3) 6) (* x x) (+ (* (* (sqrt x) x) (sqrt x)) -3) (/ (+ (* (* (sqrt x) x) (sqrt x)) -3) 6) (* (sqrt x) x) (sqrt x))

simplify19.0ms (0.4%)

Memory

-23.7MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	124
0	98	122

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

18 → 18

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/6 x)
(/ 6 x)
(pow x 2)
-3
(- (pow x 2) 3)
(sqrt (pow x 3))
(sqrt x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (- (* -1 (pow (sqrt -1) 2)) (* 3 (/ 1 (pow x 2)))))
(* -1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (- (* -1/6 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(pow x 2)
(*.f64 x x)
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt x)
(sqrt.f64 x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (*.f64 x x))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 x x)))
(* (pow x 2) (- (* -1 (pow (sqrt -1) 2)) (* 3 (/ 1 (pow x 2)))))
(.f64 (-.f64 (neg.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (.f64 x x))) (*.f64 x x))
(* -1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (pow x 2) (- (* -1/6 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)))

rewrite116.0ms (2.5%)

Memory

10.9MiB live, 132.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	87
0	32	87
1	115	84
2	626	80
3	6415	80
0	8270	75

Stop Event

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

Counts

13 → 591

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 #s(literal 6 binary64) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(*.f64 x x)
(fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (/.f64 x #s(literal -1 binary64)) (.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64)) x)
(.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 #s(literal -1/6 binary64) x))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64))))
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -1/6 binary64) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1/6 binary64))
(.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))
(.f64 x (.f64 #s(literal -1/6 binary64) x))
(pow.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))) #s(literal 6 binary64))
(/.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(literal 6 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) #s(literal -6 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/6 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -6 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal 6 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x))
(/.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal -6 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 x (/.f64 #s(literal -6 binary64) x))
(neg.f64 (.f64 #s(literal 1/6 binary64) (.f64 (neg.f64 x) x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/6 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -6 binary64) (.f64 x x))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 #s(literal -6 binary64) (.f64 x x))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 #s(literal -6 binary64) (.f64 x x))) #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (neg.f64 x))
(*.f64 #s(literal -1/6 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/6 binary64))
(*.f64 (neg.f64 x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (neg.f64 x))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
(*.f64 x #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -6 binary64))
(/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) x))
(/.f64 (neg.f64 x) #s(literal -6 binary64))
(/.f64 (neg.f64 x) #s(literal 6 binary64))
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 x #s(literal -6 binary64))
(/.f64 x #s(literal 6 binary64))
(neg.f64 (*.f64 #s(literal -1/6 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/6 binary64) x))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -6 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/6 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -6 binary64) x)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 #s(literal -6 binary64) x)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 #s(literal -6 binary64) x)) #s(literal -1 binary64))))
(.f64 (/.f64 x #s(literal -1 binary64)) (.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64)) x)
(.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 #s(literal -1/6 binary64) x))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64))))
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -1/6 binary64) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1/6 binary64))
(.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))
(.f64 x (.f64 #s(literal -1/6 binary64) x))
(pow.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))) #s(literal 6 binary64))
(/.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(literal 6 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) #s(literal -6 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/6 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -6 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal 6 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x))
(/.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal -6 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 x (/.f64 #s(literal -6 binary64) x))
(neg.f64 (.f64 #s(literal 1/6 binary64) (.f64 (neg.f64 x) x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/6 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -6 binary64) (.f64 x x))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 #s(literal -6 binary64) (.f64 x x))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 #s(literal -6 binary64) (.f64 x x))) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -6 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) x))
(*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) x))
(/.f64 #s(literal -6 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -6 binary64) (neg.f64 x))
(/.f64 #s(literal -6 binary64) x)
(/.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 6 binary64) (neg.f64 x))
(/.f64 #s(literal 6 binary64) x)
(neg.f64 (/.f64 #s(literal -6 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -6 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -6 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/6 binary64) x)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 #s(literal -1/6 binary64) x)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 #s(literal -1/6 binary64) x)) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x))
(.f64 (/.f64 x #s(literal -1 binary64)) (.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64)) x)
(.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 #s(literal -1/6 binary64) x))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal -1/6 binary64) x))
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(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 1/6 binary64)) (.f64 (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 1/6 binary64)))
(+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/12 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/4 binary64)))))
(+.f64 (/.f64 #s(literal -27 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 6 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -9 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -27 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 x (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64))
(pow.f64 (neg.f64 x) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 (neg.f64 x))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))

eval58.0ms (1.2%)

Memory: 16.3MiB live, 91.0MiB allocated
Compiler: Compiled 8 701 to 1 478 computations (83% saved)

prune15.0ms (0.3%)

Memory

-3.0MiB live, 33.9MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	515	1	516
Fresh	0	0	0
Picked	0	4	4
Done	1	4	5
Total	516	9	525

Accuracy

100.0%

Counts

525 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	99.8%	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
✓	51.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
✓	51.8%	#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
✓	51.8%	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
	51.8%	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
✓	51.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	51.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	48.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 276 to 147 computations (46.7% saved)

regimes24.0ms (0.5%)

Memory

-28.5MiB live, 26.8MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 6 binary64))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))

Calls

4 calls:

9.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
5.0ms	x
5.0ms	(*.f64 x x)
4.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes16.0ms (0.3%)

Memory

-12.3MiB live, 25.8MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))

Outputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))

Calls

4 calls:

6.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
3.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes10.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

Outputs
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes9.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))

Outputs
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))

#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
98.9%	2	`x`
98.9%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.9%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.9%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes25.0ms (0.5%)

Memory

-31.4MiB live, 7.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Calls

4 calls:

20.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
98.9%	2	`x`
98.9%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.9%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.9%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
48.9%	1	`x`
48.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
48.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
48.9%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.0427914411380476e-17	3426.8599224686473

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.0427914411380476e-17	3426.8599224686473

Compiler

Compiled 10 to 10 computations (0% saved)

simplify26.0ms (0.6%)

Memory

28.5MiB live, 28.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	91
1	35	91

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

soundness708.0ms (15.2%)

Memory

-3.9MiB live, 455.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	47	15
2	289	15
3	2649	15
0	8535	13
0	26	78
0	41	64
1	167	64
2	935	64
0	8173	64
0	27	95
0	40	88
1	152	88
2	840	88
3	7924	88
0	8090	88
0	19	34
1	44	34
2	106	34
3	375	34
4	1987	34
5	4601	34
6	7075	34
0	8063	30

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

Compiler

Compiled 192 to 103 computations (46.4% saved)

preprocess71.0ms (1.5%)

Memory: -9.7MiB live, 81.5MiB allocated
Remove: (abs x)
Compiler: Compiled 228 to 98 computations (57% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample813.0ms (17.4%)

explain86.0ms (1.8%)

preprocess349.0ms (7.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify244.0ms (5.2%)

localize19.0ms (0.4%)

series2.0ms (0%)

simplify98.0ms (2.1%)

rewrite203.0ms (4.3%)

eval46.0ms (1%)

prune13.0ms (0.3%)

simplify175.0ms (3.8%)

localize85.0ms (1.8%)

series15.0ms (0.3%)

simplify17.0ms (0.4%)

rewrite152.0ms (3.3%)

eval146.0ms (3.1%)

prune19.0ms (0.4%)

simplify179.0ms (3.8%)

localize69.0ms (1.5%)

series4.0ms (0.1%)

simplify137.0ms (2.9%)

rewrite207.0ms (4.4%)

eval144.0ms (3.1%)

prune21.0ms (0.4%)

simplify220.0ms (4.7%)

localize84.0ms (1.8%)

series7.0ms (0.2%)

simplify19.0ms (0.4%)

rewrite116.0ms (2.5%)

eval58.0ms (1.2%)

prune15.0ms (0.3%)

regimes24.0ms (0.5%)

regimes16.0ms (0.3%)

regimes10.0ms (0.2%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

regimes25.0ms (0.5%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify26.0ms (0.6%)

soundness708.0ms (15.2%)

preprocess71.0ms (1.5%)

end0.0ms (0%)

Profiling