Metrics for math.cube on real

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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 7 to 5 computations (28.6% saved)

sample715.0ms (36.9%)

Memory

18.6MiB live, 999.4MiB allocated

Samples

459.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-mult: 207.0ms (95.4% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 4.0ms (1.8% of total)

Bogosity

explain50.0ms (2.6%)

Memory

-20.6MiB live, 120.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 x x) x)`
-	-	`(*.f64 x x)`
-	-	`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

17.0ms

512×

valid

Compiler

Compiled 27 to 13 computations (51.9% saved)

Precisions

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

ival-mult: 7.0ms (93.1% of total)

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

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

preprocess15.0ms (0.8%)

Memory

36.9MiB live, 36.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	20	9
2	55	7
3	94	7
4	114	7
0	3	5
0	5	5
1	10	3
2	31	3
3	65	3
4	99	3
5	106	3
0	106	3

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)

Outputs
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))

Symmetry

(negabs x)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 x x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

simplify6.0ms (0.3%)

Memory

-40.7MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	2	(.f64 (.f64 x x) x)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	9
1	10	7
2	31	7
3	65	7
4	99	7
5	106	7
0	106	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 x x)
x

Outputs
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x

localize12.0ms (0.6%)

Memory

33.6MiB live, 33.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x x)
accuracy	0.0859375	(.f64 (.f64 x x) x)

Samples

9.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 3.0ms (86% of total)

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

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

series3.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 x x)

Outputs
(pow x 3)
(pow x 2)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* (* x x) x) (* x x))
1.0ms	x	@	inf	((* (* x x) x) (* x x))
1.0ms	x	@	0	((* (* x x) x) (* x x))

simplify28.0ms (1.4%)

Memory

-63.5MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	10	6
2	17	6
3	36	6
4	68	6
5	101	6
6	108	6
0	108	6

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(pow x 3)
(pow x 2)

Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)

rewrite127.0ms (6.5%)

Memory

20.6MiB live, 210.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	8
0	5	6
1	14	6
2	50	6
3	153	6
4	518	6
5	2609	6
0	8345	6

Stop Event

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

Counts

2 → 283

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 x x)

Outputs
(*.f64 (fabs.f64 (pow.f64 x #s(literal 21/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 11/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 21/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 11/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 11/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (fabs.f64 (pow.f64 x #s(literal 21/8 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 21/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (*.f64 (exp.f64 #s(literal 3/2 binary64)) (exp.f64 #s(literal 3/2 binary64))) (log.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (E.f64) (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (E.f64)) (log.f64 x))
(pow.f64 (*.f64 (exp.f64 #s(literal 4 binary64)) (exp.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 x)))
(pow.f64 (.f64 (exp.f64 #s(literal 1/2 binary64)) (E.f64)) (.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 4 binary64))) (log.f64 (sqrt.f64 x)))
(pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 4 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) #s(literal 1 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 3/16 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (E.f64) (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3/8 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 6 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 12 binary64))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (fabs.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) x)) (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))))))
(/.f64 (fabs.f64 (*.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))))) (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64)))) (pow.f64 x #s(literal -3 binary64)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) x) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) x))))))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (cosh.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (.f64 (log.f64 x) #s(literal 3 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (hypot.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))) #s(literal 3 binary64)))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))))))
(/.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) x) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 x (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))
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(/.f64 (fabs.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x)))))))
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(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 x x (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 (fma.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 x (exp.f64 (log.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))
(/.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 x))))
(/.f64 x (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 x)))))
(/.f64 x (pow.f64 (E.f64) (log.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 x (pow.f64 (E.f64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))
(/.f64 x (pow.f64 (E.f64) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(/.f64 x (pow.f64 (E.f64) (*.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 x)))))
(neg.f64 (*.f64 x x))
(fma.f64 (-.f64 x (/.f64 #s(literal 1 binary64) x)) (cosh.f64 (log.f64 x)) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))
(fma.f64 (sinh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))) (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (fabs.f64 (sinh.f64 (log.f64 x))) (fabs.f64 (sinh.f64 (log.f64 x))) (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) (.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 (.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(fma.f64 (cosh.f64 (log.f64 x)) x (*.f64 (sinh.f64 (log.f64 x)) x))
(fma.f64 (sinh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)) (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (neg.f64 (log.f64 x))) (cosh.f64 (log.f64 x))) (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 #s(literal 2 binary64) (neg.f64 (.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))) (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(fma.f64 x (cosh.f64 (log.f64 x)) (*.f64 x (sinh.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
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(fabs.f64 (-.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(fabs.f64 (*.f64 x x))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (E.f64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sinh.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 2 binary64)))
(+.f64 (.f64 (cosh.f64 (log.f64 x)) x) (.f64 (sinh.f64 (log.f64 x)) x))
(+.f64 (.f64 x (cosh.f64 (log.f64 x))) (.f64 x (sinh.f64 (log.f64 x))))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))) (/.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))))
(+.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(+.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(+.f64 (pow.f64 (sinh.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(+.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval56.0ms (2.9%)

Memory: 10.3MiB live, 54.5MiB allocated
Compiler: Compiled 4 531 to 797 computations (82.4% saved)

prune4.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	283	2	285
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	283	3	286

Accuracy

100.0%

Counts

286 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 x #s(literal 3 binary64))
▶	99.8%	(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
✓	99.9%	(.f64 (.f64 x x) x)

Compiler

Compiled 20 to 14 computations (30% saved)

simplify59.0ms (3.1%)

Memory

-26.1MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	2	(.f64 (.f64 x x) #s(literal 1 binary64))
cost-diff	2	(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
cost-diff	2	(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
cost-diff	2	(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	46
0	17	38
1	35	28
2	84	26
3	165	26
4	310	26
5	497	26
6	693	26
7	890	26
8	944	26
9	944	26
10	944	26
0	944	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

Outputs
(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(pow.f64 (fabs.f64 x) #s(literal 3 binary64))
(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fabs.f64 x) x)
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(fabs.f64 x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

localize36.0ms (1.8%)

Memory

21.4MiB live, 62.7MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0859375	(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
accuracy	0.1171875	(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
accuracy	29.60546771013657	(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 48 to 12 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 5.0ms (36.1% of total)

ival-div: 3.0ms (21.7% of total)

ival-pow: 3.0ms (21.7% of total)

ival-sqrt: 2.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

6 → 6

Calls

Call 1

Inputs
(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* (/ (sqrt (* (* x x) 1)) (/ 1 x)) x) (/ (sqrt (* (* x x) 1)) (/ 1 x)) (sqrt (* (* x x) 1)) (* (* x x) 1) (pow x 3) (* x x))
1.0ms	x	@	inf	((* (/ (sqrt (* (* x x) 1)) (/ 1 x)) x) (/ (sqrt (* (* x x) 1)) (/ 1 x)) (sqrt (* (* x x) 1)) (* (* x x) 1) (pow x 3) (* x x))
1.0ms	x	@	0	((* (/ (sqrt (* (* x x) 1)) (/ 1 x)) x) (/ (sqrt (* (* x x) 1)) (/ 1 x)) (sqrt (* (* x x) 1)) (* (* x x) 1) (pow x 3) (* x x))

Time

Variable

Point

Expression

1.0ms

-inf

((* (/ (sqrt (* (* x x) 1)) (/ 1 x)) x) (/ (sqrt (* (* x x) 1)) (/ 1 x)) (sqrt (* (* x x) 1)) (* (* x x) 1) (pow x 3) (* x x))

1.0ms

inf

((* (/ (sqrt (* (* x x) 1)) (/ 1 x)) x) (/ (sqrt (* (* x x) 1)) (/ 1 x)) (sqrt (* (* x x) 1)) (* (* x x) 1) (pow x 3) (* x x))

1.0ms

((* (/ (sqrt (* (* x x) 1)) (/ 1 x)) x) (/ (sqrt (* (* x x) 1)) (/ 1 x)) (sqrt (* (* x x) 1)) (* (* x x) 1) (pow x 3) (* x x))

simplify6.0ms (0.3%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	20	17
2	33	17
3	73	17
4	179	17
5	226	17
0	226	17

Stop Event

1×	iter limit
1×	saturated

Counts

6 → 5

Calls

Call 1

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

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

rewrite99.0ms (5.1%)

Memory

-7.4MiB live, 86.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	39
0	17	33
1	58	23
2	196	16
3	773	16
0	3447	16

Stop Event

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

Counts

6 → 544

Calls

Call 1

Inputs
(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)

Outputs
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 9/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -2 binary64))))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 9/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 9/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (fabs.f64 (pow.f64 x #s(literal 9/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))) (.f64 (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))) (.f64 (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
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eval58.0ms (3%)

Memory: 5.9MiB live, 50.4MiB allocated
Compiler: Compiled 3 758 to 781 computations (79.2% saved)

prune26.0ms (1.3%)

Memory

-27.2MiB live, 17.5MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	288	2	290
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	289	4	293

Accuracy

100.0%

Counts

293 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal 3 binary64))
▶	99.8%	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
✓	99.9%	(.f64 (.f64 x x) x)
▶	99.7%	(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify47.0ms (2.4%)

Memory

7.9MiB live, 61.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	2	(/.f64 x (/.f64 #s(literal 1 binary64) x))
cost-diff	2	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(neg.f64 (sqrt.f64 x))
cost-diff	2	(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x))
cost-diff	6	(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	18	46
1	38	42
2	116	30
3	404	30
4	973	30
5	1586	28
6	2902	28
7	2953	28
8	2996	28
9	3002	28
10	3002	28
0	3002	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x))
(*.f64 x x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 5 binary64))
(*.f64 x x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(pow.f64 x #s(literal 3 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize33.0ms (1.7%)

Memory

33.0MiB live, 76.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0859375	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
accuracy	0.1171875	(/.f64 x (/.f64 #s(literal 1 binary64) x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(neg.f64 (sqrt.f64 x))
accuracy	0.1015625	(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
accuracy	0.16796875	(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x))

Samples

26.0ms

256×

valid

Compiler

Compiled 46 to 12 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (41% of total)

ival-sqrt: 4.0ms (27.4% of total)

ival-div: 3.0ms (20.5% of total)

ival-neg: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.5%)

Memory

-23.6MiB live, 20.4MiB allocated

Counts

7 → 10

Calls

Call 1

Inputs
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)

Outputs
(pow x 3)
(* -1 (sqrt (pow x 5)))
(* -1 (sqrt x))
(sqrt x)
(pow x 2)
(/ 1 x)
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(* (sqrt (pow x 5)) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

((* (neg (sqrt x)) (* (neg (sqrt x)) (* x x))) (* (neg (sqrt x)) (* x x)) (neg (sqrt x)) (sqrt x) (* (/ x (/ 1 x)) x) (/ x (/ 1 x)) (/ 1 x))

3.0ms

-inf

((* (neg (sqrt x)) (* (neg (sqrt x)) (* x x))) (* (neg (sqrt x)) (* x x)) (neg (sqrt x)) (sqrt x) (* (/ x (/ 1 x)) x) (/ x (/ 1 x)) (/ 1 x))

2.0ms

inf

((* (neg (sqrt x)) (* (neg (sqrt x)) (* x x))) (* (neg (sqrt x)) (* x x)) (neg (sqrt x)) (sqrt x) (* (/ x (/ 1 x)) x) (/ x (/ 1 x)) (/ 1 x))

simplify215.0ms (11.1%)

Memory

-15.1MiB live, 93.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	32
1	42	32
2	94	32
3	230	32
4	640	32
5	915	32
6	960	32
7	1012	32
8	1153	32
9	1302	32
10	1444	32
11	1582	32
12	1718	32
13	1854	32
14	1990	32
15	2126	32
16	2262	32
17	2398	32
18	2534	32
19	2670	32
20	2806	32
21	2942	32
22	3078	32
23	3214	32
24	3350	32
25	3486	32
26	3622	32
27	3758	32
28	3894	32
29	4030	32
30	4166	32
31	4302	32
32	4438	32
33	4574	32
34	4710	32
35	4846	32
36	4982	32
37	5118	32
38	5246	32
39	5553	32
40	5859	32
41	6164	32
42	6732	32
0	8154	32

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

Inputs
(pow x 3)
(* -1 (sqrt (pow x 5)))
(* -1 (sqrt x))
(sqrt x)
(pow x 2)
(/ 1 x)
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(* (sqrt (pow x 5)) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (sqrt (pow x 5)))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(pow x 2)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(pow.f64 x #s(literal 3 binary64))
(* (sqrt (pow x 5)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(* (sqrt x) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite79.0ms (4.1%)

Memory

32.8MiB live, 171.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	18	41
1	49	30
2	176	20
3	744	19
0	3112	19

Stop Event

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

Counts

7 → 488

Calls

Call 1

Inputs
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)

Outputs
(.f64 (.f64 (pow.f64 x #s(literal 11/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 11/4 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 11/4 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) x) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 9/4 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) x) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal 3/4 binary64)) x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) x) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (pow.f64 x #s(literal 11/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 11/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 11/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 11/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(.f64 (pow.f64 x #s(literal 5/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) x))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 11/4 binary64))))
(.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 11/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 11/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(.f64 (.f64 x x) x)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 x (.f64 x x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 x (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 x (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 x (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) x))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 5/2 binary64)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 5/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 5/2 binary64)) (cosh.f64 (log.f64 (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(fma.f64 x (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 x (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (fma.f64 #s(literal 5/2 binary64) (log.f64 x) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 5/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(+.f64 (.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 5/2 binary64))) (.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 5/2 binary64))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x))
(+.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (cosh.f64 (log.f64 (sqrt.f64 x)))) (.f64 (pow.f64 x #s(literal 5/2 binary64)) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(+.f64 (.f64 x (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 x (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(+.f64 (cosh.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 3 binary64) (log.f64 x))))
(.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 x (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (*.f64 x (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/4 binary64))) (/.f64 x (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 5/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 5/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 5/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 5/2 binary64)))
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(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (-.f64 (.f64 (cosh.f64 (neg.f64 (log.f64 x))) (cosh.f64 (neg.f64 (log.f64 x)))) (.f64 (sinh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))) (-.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (neg.f64 (log.f64 x))) (cosh.f64 (neg.f64 (log.f64 x))) (-.f64 (.f64 (sinh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x)))) (.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x)))))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(fma.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)))
(fma.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (cosh.f64 (neg.f64 (log.f64 x))) (*.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 (log.f64 x)))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (neg.f64 (log.f64 x))) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 x)))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(fabs.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))
(+.f64 (.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))
(+.f64 (.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) (.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (neg.f64 (log.f64 x)))) (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 x)))))
(+.f64 (.f64 #s(literal -1 binary64) (cosh.f64 (neg.f64 (log.f64 x)))) (.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 (log.f64 x)))))
(+.f64 (neg.f64 (cosh.f64 (neg.f64 (log.f64 x)))) (neg.f64 (sinh.f64 (neg.f64 (log.f64 x)))))
(+.f64 (sinh.f64 (neg.f64 (log.f64 x))) (cosh.f64 (neg.f64 (log.f64 x))))
(+.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))

eval64.0ms (3.3%)

Memory: -17.6MiB live, 222.4MiB allocated
Compiler: Compiled 5 578 to 1 067 computations (80.9% saved)

prune8.0ms (0.4%)

Memory

-19.8MiB live, 27.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	413	0	413
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	413	4	417

Accuracy

100.0%

Counts

417 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	99.8%	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
✓	99.9%	(.f64 (.f64 x x) x)
✓	99.7%	(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))

Compiler

Compiled 64 to 34 computations (46.9% saved)

regimes4.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(pow.f64 x #s(literal 3 binary64))

Outputs
(pow.f64 x #s(literal 3 binary64))

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x x) x)

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB allocated

Accuracy

Total -0.2b remaining (-177.7%)

Threshold costs -0.2b (-177.7%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)

Outputs
(.f64 (.f64 x x) x)

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x x) x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 (.f64 x x) x)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify23.0ms (1.2%)

Memory

-26.7MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 x #s(literal 3 binary64))
(.f64 (.f64 x x) x)

Outputs
(pow.f64 x #s(literal 3 binary64))
(.f64 (.f64 x x) x)

soundness118.0ms (6.1%)

Memory

5.5MiB live, 100.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	8
0	5	6
1	14	6
2	50	6
3	153	6
4	518	6
5	2609	6
0	8345	6

Stop Event

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess28.0ms (1.4%)

Memory: 25.3MiB live, 69.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 44 to 34 computations (22.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	46
0	17	38
1	35	28
2	84	26
3	165	26
4	310	26
5	497	26
6	693	26
7	890	26
8	944	26
9	944	26
10	944	26
0	944	26

Iter	Nodes	Cost
0	10	46
0	17	38
1	35	28
2	84	26
3	165	26
4	310	26
5	497	26
6	693	26
7	890	26
8	944	26
9	944	26
10	944	26
0	944	26

start0.0ms (0%)

analyze0.0ms (0%)

sample715.0ms (36.9%)

explain50.0ms (2.6%)

preprocess15.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.3%)

localize12.0ms (0.6%)

series3.0ms (0.1%)

simplify28.0ms (1.4%)

rewrite127.0ms (6.5%)

eval56.0ms (2.9%)

prune4.0ms (0.2%)

simplify59.0ms (3.1%)

localize36.0ms (1.8%)

series3.0ms (0.2%)

simplify6.0ms (0.3%)

rewrite99.0ms (5.1%)

eval58.0ms (3%)

prune26.0ms (1.3%)

simplify47.0ms (2.4%)

localize33.0ms (1.7%)

series10.0ms (0.5%)

simplify215.0ms (11.1%)

rewrite79.0ms (4.1%)

eval64.0ms (3.3%)

prune8.0ms (0.4%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

simplify23.0ms (1.2%)

soundness118.0ms (6.1%)

preprocess28.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	46
0	17	38
1	35	28
2	84	26
3	165	26
4	310	26
5	497	26
6	693	26
7	890	26
8	944	26
9	944	26
10	944	26
0	944	26