Metrics for sqrt B (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample600.0ms (15.2%)

Memory

-6.6MiB live, 694.3MiB allocated

Samples

329.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-mult: 120.0ms (62.2% of total)

ival-sqrt: 58.0ms (30.1% of total)

ival-true: 6.0ms (3.1% of total)

exact: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain65.0ms (1.7%)

Memory

9.2MiB live, 83.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
119	-	2	(-7.02098273128706e-157)	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) x) x)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	oflow-rescue	59	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	overflow	59
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	uflow-rescue	58	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	underflow	58

Confusion

	Predicted +	Predicted -
+	117	2
-	0	137

Precision

1.0

Recall

0.9831932773109243

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	117	0	2
-	0	0	137

Precision?

1.0

Recall?

0.9831932773109243

Freqs

test

number	freq
0	139
1	117

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (59.5% of total)

ival-sqrt: 4.0ms (34% of total)

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	21	13
2	62	13
3	151	13
4	220	13
5	239	13
6	241	13
0	5	6
0	8	6
1	12	6
2	13	6
0	13	6

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Outputs
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))

Symmetry

(abs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.0%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify7.0ms (0.2%)

Memory

-35.2MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) x) x)
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	12	16
2	13	16
0	13	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x

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

localize16.0ms (0.4%)

Memory

21.4MiB live, 21.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 #s(literal 2 binary64) x) x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	27.501678056893002	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Samples

11.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (53.7% of total)

ival-sqrt: 2.0ms (35.8% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x))
1.0ms	x	@	inf	((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x))
1.0ms	x	@	-inf	((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x))

simplify4.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	17	17
2	32	17
3	36	17
4	40	17
5	52	17
6	64	17
7	75	17
8	95	17
9	100	17
0	100	17

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 4

Calls

Call 1

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

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

rewrite153.0ms (3.9%)

Memory

-10.2MiB live, 193.3MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	17	14
2	38	13
3	92	12
4	338	12
5	2074	12
0	8672	12

Stop Event

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

Counts

3 → 118

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)

Outputs
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 7/16 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 7/16 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)))
(.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64))) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 (.f64 x #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 x (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x (.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))))
(pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64)) #s(literal 8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x #s(literal 2 binary64)) x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (.f64 x #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64))) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(.f64 x (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 (.f64 x #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 x (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x (.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x #s(literal 2 binary64)) x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (.f64 x #s(literal 2 binary64)))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))))) (exp.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))

eval100.0ms (2.5%)

Memory: -18.7MiB live, 19.5MiB allocated
Compiler: Compiled 1 740 to 356 computations (79.5% saved)

prune5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	117	6	123

Accuracy

100.0%

Counts

123 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	74.0%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
▶	99.3%	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
▶	99.4%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
▶	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	57.0%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 86 to 71 computations (17.4% saved)

simplify4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	6784	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
cost-diff	0	(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 x #s(literal 3/4 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	107
0	40	107
1	53	103
2	61	103
0	61	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 x)
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))
(sqrt.f64 x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
x

Outputs
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(sqrt.f64 x)
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) x))
(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) x)
(sqrt.f64 x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
x

localize72.0ms (1.8%)

Memory

13.5MiB live, 90.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy	0.203125	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
accuracy	0.28125	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.16015625	(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))
accuracy	0.32421875	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
accuracy	16.850615114401148	(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.37109375	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.3671875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0.0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.1015625	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	0.3203125	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))

Samples

56.0ms

256×

valid

Compiler

Compiled 216 to 48 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-pow: 15.0ms (39.7% of total)

ival-mult: 13.0ms (34.4% of total)

ival-sqrt: 9.0ms (23.8% of total)

exact: 1.0ms (2.6% of total)

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

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

series246.0ms (6.2%)

Memory

-24.6MiB live, 257.2MiB allocated

Counts

17 → 23

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 3/4 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(sqrt.f64 x)
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 1/4 binary64))
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)

Outputs
(* x (sqrt 2))
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* 1 x) 1/4) (sqrt 2))
(* 2 (sqrt x))
(* (sqrt x) (sqrt 2))
(* 2 x)
(sqrt x)
(pow (* 1 x) 1/4)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* 2 (sqrt (pow x 3)))
(* (pow 4 1/4) x)
(* (pow 4 1/8) x)
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
133.0ms	x	@	0	((* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))
83.0ms	x	@	-inf	((* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))
29.0ms	x	@	inf	((* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))

Time

Variable

Point

Expression

133.0ms

((* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))

83.0ms

-inf

((* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))

29.0ms

inf

((* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))

simplify128.0ms (3.2%)

Memory

0.9MiB live, 117.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	70	143
1	164	143
2	460	141
3	1083	141
4	1454	141
5	1869	141
6	2632	141
7	4518	141
8	5944	140
9	7164	140
10	7984	140
0	8008	140

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

Inputs
(* x (sqrt 2))
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* 1 x) 1/4) (sqrt 2))
(* 2 (sqrt x))
(* (sqrt x) (sqrt 2))
(* 2 x)
(sqrt x)
(pow (* 1 x) 1/4)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* 2 (sqrt (pow x 3)))
(* (pow 4 1/4) x)
(* (pow 4 1/8) x)
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 21/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 21/4 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) x) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))

rewrite155.0ms (3.9%)

Memory

6.7MiB live, 162.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	87
0	40	92
1	84	90
2	208	65
3	713	65
4	4129	65
0	8141	65

Stop Event

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

Counts

17 → 1 035

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 3/4 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(sqrt.f64 x)
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 1/4 binary64))
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)

Outputs
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 7/8 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/8 binary64)))) (pow.f64 x #s(literal 5/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/32 binary64))) (pow.f64 x #s(literal 3/32 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/32 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) (.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) (.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(.f64 (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 5/64 binary64)) (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x))
(.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) x))))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 9/16 binary64)))
(.f64 (pow.f64 x #s(literal 9/16 binary64)) (.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x))
(.f64 (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 5/64 binary64)))
(.f64 (pow.f64 x #s(literal 5/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (.f64 #s(literal 16 binary64) x) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/8 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 5/64 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 16 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 3/8 binary64))))
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 5/64 binary64)) x))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))
(.f64 (pow.f64 x #s(literal 1/32 binary64)) (.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x)))
(.f64 (pow.f64 x #s(literal 3/32 binary64)) (.f64 (pow.f64 x #s(literal 3/32 binary64)) (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) x)))
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (*.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) x))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
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eval94.0ms (2.4%)

Memory: 36.9MiB live, 153.5MiB allocated
Compiler: Compiled 11 301 to 2 276 computations (79.9% saved)

prune15.0ms (0.4%)

Memory

3.3MiB live, 39.4MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	813	3	816
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	815	7	822

Accuracy

100.0%

Counts

822 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.5%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	99.2%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
✓	99.4%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
▶	74.0%	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	57.0%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 55 to 45 computations (18.2% saved)

simplify5.0ms (0.1%)

Memory

-35.0MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
cost-diff	6464	(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff	1600	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(sqrt.f64 (sqrt.f64 x))
cost-diff	0	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	87
0	30	83
1	42	71
2	56	71
3	71	71
4	85	71
0	85	71

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(sqrt.f64 x)
x
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
#s(literal 2 binary64)
x

Outputs
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(sqrt.f64 x)
x
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
#s(literal 2 binary64)
x

localize47.0ms (1.2%)

Memory

19.0MiB live, 56.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
accuracy	0.3671875	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
accuracy	1.0	(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.37109375	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
accuracy	0.47265625	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0.08984375	(sqrt.f64 (sqrt.f64 x))
accuracy	0.16015625	(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))
accuracy	0.32421875	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
accuracy	16.850615114401148	(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))

Samples

35.0ms

256×

valid

Compiler

Compiled 176 to 36 computations (79.5% saved)

Precisions

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

ival-mult: 11.0ms (44% of total)

ival-sqrt: 7.0ms (28% of total)

ival-pow: 4.0ms (16% of total)

ival-pow2: 3.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series87.0ms (2.2%)

Memory

-9.8MiB live, 115.8MiB allocated

Counts

12 → 18

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))

Outputs
(* x (sqrt 2))
(pow (* 1 x) 1/4)
(sqrt x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* 2 x)
(* (sqrt x) (sqrt 2))
(* 2 (sqrt x))
(* (pow 256 1/16) x)
(* 2 (sqrt (pow x 3)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* -2 (* x (pow (sqrt -1) 2)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

38.0ms

((* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (* 2 (sqrt x)) (sqrt x)) (* (sqrt (* (* 2 (sqrt x)) (sqrt x))) (sqrt x)) (sqrt (* (* 2 (sqrt x)) (sqrt x))) (* 2 (sqrt x)) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (sqrt x) (* x 2)))

25.0ms

-inf

((* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (* 2 (sqrt x)) (sqrt x)) (* (sqrt (* (* 2 (sqrt x)) (sqrt x))) (sqrt x)) (sqrt (* (* 2 (sqrt x)) (sqrt x))) (* 2 (sqrt x)) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (sqrt x) (* x 2)))

23.0ms

inf

((* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (* 2 (sqrt x)) (sqrt x)) (* (sqrt (* (* 2 (sqrt x)) (sqrt x))) (sqrt x)) (sqrt (* (* 2 (sqrt x)) (sqrt x))) (* 2 (sqrt x)) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (sqrt x) (* x 2)))

simplify255.0ms (6.5%)

Memory

23.5MiB live, 61.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	93
1	111	93
2	332	93
3	632	93
4	943	93
5	1527	93
6	1993	93
7	2186	93
8	2333	93
9	2441	93
10	2497	93
11	2994	93
12	3223	93
13	3241	93
14	3253	93
15	3265	93
16	3272	93
17	3274	93
18	3274	93
19	3274	93
20	3294	93
21	3302	93
22	3302	93
23	3698	93
24	5179	93
25	6014	93
26	6142	93
27	6222	93
28	6222	93
29	6270	93
30	6270	93
31	6722	93
0	8071	93

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

Calls

Call 1

Inputs
(* x (sqrt 2))
(pow (* 1 x) 1/4)
(sqrt x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* 2 x)
(* (sqrt x) (sqrt 2))
(* 2 (sqrt x))
(* (pow 256 1/16) x)
(* 2 (sqrt (pow x 3)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* -2 (* x (pow (sqrt -1) 2)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(sqrt x)
(sqrt.f64 x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))))
(* -2 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))

rewrite118.0ms (3%)

Memory

-20.6MiB live, 94.8MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	74
0	30	68
1	72	50
2	209	46
3	668	40
4	4200	40
0	8188	40

Stop Event

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

Counts

12 → 427

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))

Outputs
(.f64 (sqrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 5/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 7/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
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(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/8 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) x))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
#s(literal 1 binary64)
(.f64 (.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (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)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 x) (.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 x #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (.f64 (.f64 #s(literal 1 binary64) x) x))
(sqrt.f64 (.f64 x (.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)))
#s(literal 1 binary64)
(*.f64 (exp.f64 (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (pow.f64 x #s(literal 5/4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) x)))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 #s(literal 2 binary64) x)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) x)
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (exp.f64 (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) x))
(.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))

eval70.0ms (1.8%)

Memory: 15.1MiB live, 93.6MiB allocated
Compiler: Compiled 7 426 to 1 472 computations (80.2% saved)

prune10.0ms (0.3%)

Memory

-11.0MiB live, 27.4MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	522	3	525
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	522	10	532

Accuracy

100.0%

Counts

532 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.5%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.2%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
✓	99.4%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
▶	99.2%	(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	99.2%	(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
✓	74.0%	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	20.3%	(*.f64 x #s(literal 1 binary64))
✓	57.0%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 80 to 67 computations (16.3% saved)

simplify4.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(sqrt.f64 (sqrt.f64 x))
cost-diff	0	(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(sqrt.f64 (sqrt.f64 x))
cost-diff	0	(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
cost-diff	320	(*.f64 x #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	72
0	29	70
1	41	70
2	60	70
3	64	70
0	64	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (1.3%)

Memory

17.6MiB live, 55.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.08984375	(sqrt.f64 (sqrt.f64 x))
accuracy	0.32421875	(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.4921875	(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.08984375	(sqrt.f64 (sqrt.f64 x))
accuracy	0.32421875	(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
accuracy	0.37728500976844204	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
accuracy	0.0	(*.f64 x #s(literal 1 binary64))

Samples

39.0ms

256×

valid

Compiler

Compiled 146 to 36 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-pow: 10.0ms (37.8% of total)

ival-mult: 9.0ms (34% of total)

ival-sqrt: 7.0ms (26.5% of total)

exact: 1.0ms (3.8% of total)

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

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

series55.0ms (1.4%)

Memory

-3.1MiB live, 77.6MiB allocated

Counts

8 → 11

Calls

Call 1

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

Outputs
x
(* x (sqrt 2))
(pow (* 1 x) 1/4)
(sqrt x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt -2))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt 2))

Calls

3 calls:

Time

Variable

Point

Expression

25.0ms

-inf

((* x 1) (* (sqrt (sqrt x)) (* (pow x 1/4) (sqrt (* 2 x)))) (sqrt (sqrt x)) (sqrt x) (* (pow x 1/4) (sqrt (* 2 x))) (* (sqrt (sqrt x)) (* (pow x 3/4) (sqrt 2))) (* (pow x 3/4) (sqrt 2)) (sqrt 2))

17.0ms

((* x 1) (* (sqrt (sqrt x)) (* (pow x 1/4) (sqrt (* 2 x)))) (sqrt (sqrt x)) (sqrt x) (* (pow x 1/4) (sqrt (* 2 x))) (* (sqrt (sqrt x)) (* (pow x 3/4) (sqrt 2))) (* (pow x 3/4) (sqrt 2)) (sqrt 2))

14.0ms

inf

((* x 1) (* (sqrt (sqrt x)) (* (pow x 1/4) (sqrt (* 2 x)))) (sqrt (sqrt x)) (sqrt x) (* (pow x 1/4) (sqrt (* 2 x))) (* (sqrt (sqrt x)) (* (pow x 3/4) (sqrt 2))) (* (pow x 3/4) (sqrt 2)) (sqrt 2))

simplify57.0ms (1.4%)

Memory

-13.1MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	84
1	96	84
2	249	76
3	695	76
4	968	74
5	1168	74
6	1376	74
7	1535	74
8	1666	74
9	1738	74
10	1745	74
11	1747	74
12	1747	74
13	1793	74
14	1793	74
0	1793	74

Stop Event

1×	iter limit
1×	saturated

Counts

11 → 10

Calls

Call 1

Inputs
x
(* x (sqrt 2))
(pow (* 1 x) 1/4)
(sqrt x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt -2))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt 2))

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

rewrite102.0ms (2.6%)

Memory

21.1MiB live, 96.7MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	46
0	29	48
1	60	38
2	168	32
3	735	28
4	4513	28
0	8248	28

Stop Event

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

Counts

8 → 664

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 x #s(literal 13/16 binary64)) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 x #s(literal 13/16 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal -2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal -1 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 x x)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 x x) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 x))
(pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 x))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))) (log.f64 x))
(pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 x) #s(literal 8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (log.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (log.f64 x))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 16 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(/.f64 (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (/.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))) (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(/.f64 (pow.f64 (.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (/.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))) (pow.f64 (.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(/.f64 x (exp.f64 (/.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 x (pow.f64 (*.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (/.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 x (pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (/.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
(sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(sqrt.f64 (*.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64)))) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 3/4 binary64)))) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(exp.f64 (log.f64 x))
x
(.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 3/16 binary64))) (.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 3/16 binary64))))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 5/16 binary64))) (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 5/16 binary64))))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/16 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))) (.f64 (pow.f64 x #s(literal 5/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/16 binary64)))) (.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/16 binary64)))))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 5/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/8 binary64))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
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(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/4 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 3/4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x))))
(*.f64 (exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64))) (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64))))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/16 binary64)))) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/16 binary64)))))
(.f64 (.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))) (.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))))
(.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/8 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (exp.f64 (+.f64 #s(literal 0 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(pow.f64 (exp.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 4 binary64) (.f64 x x))) (sqrt.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 4 binary64)) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 #s(literal 2 binary64) x) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (sqrt.f64 x) (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (sqrt.f64 x) (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/16 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) x) #s(literal 1/4 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
(exp.f64 (.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 3/8 binary64) (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 x) (.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (log.f64 x))) (.f64 #s(literal 3/8 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 x) (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 3/4 binary64))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval81.0ms (2%)

Memory: -18.1MiB live, 99.6MiB allocated
Compiler: Compiled 7 864 to 1 306 computations (83.4% saved)

prune12.0ms (0.3%)

Memory

-7.6MiB live, 31.5MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	559	1	560
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	560	10	570

Accuracy

100.0%

Counts

570 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.5%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.2%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
✓	99.4%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.2%	(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	99.2%	(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
✓	74.0%	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	57.0%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
	20.3%	x

Compiler

Compiled 179 to 109 computations (39.1% saved)

regimes13.0ms (0.3%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))

Outputs
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))

Calls

3 calls:

4.0ms	x
4.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
4.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.5%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes8.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))

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

Calls

3 calls:

3.0ms	x
3.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)
2.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.4%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

1.0ms	x
1.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
1.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)

Results

Accuracy	Segments	Branch
20.3%	1	`x`
20.3%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
20.3%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify10.0ms (0.2%)

Memory

-32.4MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x

Outputs
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x

soundness1.2s (31.3%)

Memory

14.5MiB live, 277.4MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	17	14
2	38	13
3	92	12
4	338	12
5	2074	12
0	8672	12
0	17	74
0	30	68
1	72	50
2	209	46
3	668	40
4	4200	40
0	8188	40
0	17	46
0	29	48
1	60	38
2	168	32
3	735	28
4	4513	28
0	8248	28
0	23	87
0	40	92
1	84	90
2	208	65
3	713	65
4	4129	65
0	8141	65

Stop Event

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

Compiler

Compiled 55 to 41 computations (25.5% saved)

preprocess43.0ms (1.1%)

Memory: 8.2MiB live, 53.8MiB allocated
Compiler: Compiled 58 to 46 computations (20.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample600.0ms (15.2%)

explain65.0ms (1.7%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.2%)

localize16.0ms (0.4%)

series4.0ms (0.1%)

simplify4.0ms (0.1%)

rewrite153.0ms (3.9%)

eval100.0ms (2.5%)

prune5.0ms (0.1%)

simplify4.0ms (0.1%)

localize72.0ms (1.8%)

series246.0ms (6.2%)

simplify128.0ms (3.2%)

rewrite155.0ms (3.9%)

eval94.0ms (2.4%)

prune15.0ms (0.4%)

simplify5.0ms (0.1%)

localize47.0ms (1.2%)

series87.0ms (2.2%)

simplify255.0ms (6.5%)

rewrite118.0ms (3%)

eval70.0ms (1.8%)

prune10.0ms (0.3%)

simplify4.0ms (0.1%)

localize51.0ms (1.3%)

series55.0ms (1.4%)

simplify57.0ms (1.4%)

rewrite102.0ms (2.6%)

eval81.0ms (2%)

prune12.0ms (0.3%)

regimes13.0ms (0.3%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

simplify10.0ms (0.2%)

soundness1.2s (31.3%)

preprocess43.0ms (1.1%)

end0.0ms (0%)

Profiling