Metrics for sqrt B (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample5.8s (41.7%)

Memory

23.3MiB live, 647.0MiB allocated

Samples

4.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

ival-mult: 129.0ms (63.9% of total)

ival-sqrt: 59.0ms (29.2% of total)

ival-true: 6.0ms (3% of total)

exact: 5.0ms (2.5% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain143.0ms (1%)

Memory

-2.5MiB live, 78.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	1	(4.092730274809998e-158)	`(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))`	uflow-rescue	63	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	underflow	63
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	oflow-rescue	58	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	overflow	58

Confusion

	Predicted +	Predicted -
+	121	1
-	0	134

Precision

1.0

Recall

0.9918032786885246

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	1
-	0	0	134

Precision?

1.0

Recall?

0.9918032786885246

Freqs

test

number	freq
0	135
1	121

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

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

ival-mult: 7.0ms (61.3% of total)

ival-sqrt: 4.0ms (35% of total)

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

exact: 0.0ms (0% of total)

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

preprocess50.0ms (0.4%)

Memory

-24.6MiB live, 19.3MiB 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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.7%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify2.0ms (0%)

Memory

2.2MiB live, 2.2MiB 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

localize15.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB 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	28.360610800468972	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Samples

10.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 3.0ms (56.3% of total)

ival-sqrt: 2.0ms (37.5% 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%)

Memory

4.8MiB live, 4.8MiB 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))

simplify40.0ms (0.3%)

Memory

-34.3MiB live, 4.7MiB 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)))

rewrite231.0ms (1.7%)

Memory

38.5MiB live, 155.1MiB 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))))

eval43.0ms (0.3%)

Memory: -18.0MiB live, 18.6MiB allocated
Compiler: Compiled 1 740 to 356 computations (79.5% saved)

prune7.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	8	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Accuracy

100.0%

Counts

123 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
▶	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	83.1%	(.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)))))
	71.9%	(.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))
▶	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	55.6%	(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
✓	55.7%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 146 to 121 computations (17.1% saved)

simplify5.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	112
0	43	112
1	56	102
2	70	102
3	74	102
0	74	102

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) 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 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (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)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.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))
(*.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
(.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 (sqrt.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(pow.f64 x #s(literal 3/8 binary64))
x
#s(literal 3/8 binary64)
(sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize130.0ms (0.9%)

Memory

-24.9MiB live, 96.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.15625	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 x #s(literal 2 binary64)))
accuracy	0.359375	(.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)))))
accuracy	10.99203484906022	(sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 x #s(literal 2 binary64))))
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	0.3359375	(.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	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.109375	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	0.359375	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.48046875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
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	0.359375	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Samples

84.0ms

256×

valid

Compiler

Compiled 114 to 27 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 23.0ms (46% of total)

ival-pow: 18.0ms (36% of total)

ival-sqrt: 8.0ms (16% of total)

exact: 1.0ms (2% of total)

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

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

series235.0ms (1.7%)

Memory

15.4MiB live, 332.7MiB allocated

Counts

17 → 23

Calls

Call 1

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

Outputs
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(sqrt x)
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* 1 x) 1/4) (sqrt 2))
(* 2 (sqrt x))
(* (pow 4 1/4) x)
(* (pow 4 1/8) x)
(* 2 (pow (* 1 (pow x 5)) 1/4))
(pow (* 1 (pow x 3)) 1/8)
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 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) (* -3 (log (/ -1 x))))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x)))))))
(* -1 (* (pow -1 1/4) (* x (sqrt -2))))
(exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 x))))))
(* (exp (* 1/8 (+ (log -1) (* -5 (log (/ -1 x)))))) (sqrt -2))

Calls

3 calls:

Time	Variable		Point	Expression
92.0ms	x	@	-inf	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow x 1/4) (* x 2)) (* (pow x 3/8) (sqrt (* (pow x 1/4) (* x 2)))) (pow x 3/8) (sqrt (* (pow x 1/4) (* x 2))))
92.0ms	x	@	0	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow x 1/4) (* x 2)) (* (pow x 3/8) (sqrt (* (pow x 1/4) (* x 2)))) (pow x 3/8) (sqrt (* (pow x 1/4) (* x 2))))
50.0ms	x	@	inf	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow x 1/4) (* x 2)) (* (pow x 3/8) (sqrt (* (pow x 1/4) (* x 2)))) (pow x 3/8) (sqrt (* (pow x 1/4) (* x 2))))

Time

Variable

Point

Expression

92.0ms

-inf

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

92.0ms

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

50.0ms

inf

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

simplify161.0ms (1.1%)

Memory

3.9MiB live, 117.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	168
1	175	168
2	458	154
3	959	154
4	1219	150
5	1564	150
6	1943	150
7	2241	150
8	2622	150
9	3002	150
10	3267	150
11	3538	150
12	3824	150
13	4232	150
14	5166	150
15	6572	150
0	8023	150

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

Inputs
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(sqrt x)
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* 1 x) 1/4) (sqrt 2))
(* 2 (sqrt x))
(* (pow 4 1/4) x)
(* (pow 4 1/8) x)
(* 2 (pow (* 1 (pow x 5)) 1/4))
(pow (* 1 (pow x 3)) 1/8)
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 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) (* -3 (log (/ -1 x))))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x)))))))
(* -1 (* (pow -1 1/4) (* x (sqrt -2))))
(exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 x))))))
(* (exp (* 1/8 (+ (log -1) (* -5 (log (/ -1 x)))))) (sqrt -2))

Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (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 (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))
(* (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)
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow (* 1 (pow x 3)) 1/8)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 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 29/4 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))))))
(/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 33/4 binary64)) (pow.f64 (neg.f64 x) #s(literal -3/4 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))
(* -2 (exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x)))))))
(/.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 29/4 binary64)) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal -5/4 binary64)))
(* -1 (* (pow -1 1/4) (* x (sqrt -2))))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 29/4 binary64)) x) (sqrt.f64 #s(literal -2 binary64)))
(exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 x))))))
(/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 49/8 binary64)) (pow.f64 (neg.f64 x) #s(literal -3/8 binary64)))
(* (exp (* 1/8 (+ (log -1) (* -5 (log (/ -1 x)))))) (sqrt -2))
(*.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 49/8 binary64)) (pow.f64 (neg.f64 x) #s(literal -5/8 binary64))) (sqrt.f64 #s(literal -2 binary64)))

rewrite169.0ms (1.2%)

Memory

19.4MiB live, 255.5MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	90
0	43	75
1	92	73
2	249	63
3	945	58
4	3665	48
0	8513	48

Stop Event

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

Counts

17 → 1 193

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 13/16 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (pow.f64 x #s(literal 1/16 binary64))))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) (.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 13/16 binary64))) (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 13/16 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))))
(.f64 (.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) x)) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 25/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (pow.f64 x #s(literal 19/16 binary64)) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(.f64 (pow.f64 x #s(literal 5/8 binary64)) (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 x #s(literal 7/8 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) x)))
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 19/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) x) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (pow.f64 x #s(literal 25/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 x #s(literal 25/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/8 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 5/8 binary64)) x))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 25/16 binary64)))
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 11/8 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 11/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (pow.f64 x #s(literal 1/16 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 13/16 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) #s(literal 2 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 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 7/2 binary64))
(pow.f64 x #s(literal 7/4 binary64))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)))
(sqrt.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
(sqrt.f64 (.f64 x (pow.f64 (.f64 x x) #s(literal 5/4 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 5/4 binary64)) x))
(sqrt.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)) x))
(sqrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) x))
(sqrt.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(exp.f64 (.f64 (.f64 #s(literal 7/8 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 5/8 binary64) (log.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
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(fabs.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/16 binary64)) (neg.f64 (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(fabs.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/16 binary64)))))
(fabs.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (neg.f64 (pow.f64 x #s(literal 1/8 binary64))))))
(fabs.f64 (.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))))))
(fabs.f64 (.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (neg.f64 (pow.f64 x #s(literal 1/8 binary64)))))
(fabs.f64 (.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))))
(fabs.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (neg.f64 (pow.f64 x #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))))))
(fabs.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (neg.f64 (pow.f64 x #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/8 binary64)))))
(fabs.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (neg.f64 (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 1/8 binary64))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/8 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))))
(fabs.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))))))
(fabs.f64 (neg.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64))))
(fabs.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(fabs.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(fabs.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(exp.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 #s(literal 1/8 binary64) (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 256 binary64)) #s(literal 1/32 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 3/32 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/64 binary64) (log.f64 #s(literal 16 binary64))) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/8 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 9/8 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 9/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (log.f64 x) (fma.f64 #s(literal 9/8 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (log.f64 x) (fma.f64 #s(literal 9/8 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 9/8 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 9/8 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (pow.f64 x #s(literal 7/4 binary64)))) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/32 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 19/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(*.f64 (pow.f64 x #s(literal 19/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(.f64 (pow.f64 x #s(literal 5/8 binary64)) (.f64 (pow.f64 x #s(literal 5/8 binary64)) (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 7/8 binary64)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 1/32 binary64)) (.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 9/8 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 x #s(literal 19/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 19/16 binary64)))
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (pow.f64 x #s(literal 7/4 binary64)))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 7/8 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 11/8 binary64))
(sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 x x) #s(literal 5/4 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)))
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 5/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(sqrt.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64)) x))
(fabs.f64 (*.f64 x (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64))))
(fabs.f64 (pow.f64 x #s(literal 11/8 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (log.f64 x)))
(exp.f64 (fma.f64 #s(literal 5/8 binary64) (log.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

eval107.0ms (0.8%)

Memory: -13.6MiB live, 177.6MiB allocated
Compiler: Compiled 11 590 to 2 367 computations (79.6% saved)

prune17.0ms (0.1%)

Memory

8.0MiB live, 46.3MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	842	3	845
Fresh	1	2	3
Picked	2	3	5
Done	0	1	1
Total	845	9	854

Accuracy

100.0%

Counts

854 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
▶	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	99.3%	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
▶	99.1%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.4%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	55.6%	(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
✓	55.7%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 110 to 97 computations (11.8% saved)

simplify6.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	0	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
cost-diff	3	(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
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	2	(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff	4	(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	4	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	119
0	40	119
1	58	103
2	99	100
3	148	100
4	177	100
5	179	100
0	179	100

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (0.5%)

Memory

-1.9MiB live, 86.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.28125	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
accuracy	0.48275375976844204	(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
accuracy	0.0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
accuracy	0.48046875	(*.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 x)
accuracy	0.1640625	(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0.18359375	(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))
accuracy	28.360610800468972	(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.359375	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
accuracy	0.44921875	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.203125	(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)
accuracy	0.3359375	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))

Samples

56.0ms

256×

valid

Compiler

Compiled 121 to 25 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 16.0ms (45.5% of total)

ival-pow: 7.0ms (19.9% of total)

ival-sqrt: 6.0ms (17% of total)

ival-pow2: 5.0ms (14.2% of total)

exact: 1.0ms (2.8% of total)

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

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

series171.0ms (1.2%)

Memory

9.8MiB live, 84.0MiB allocated

Counts

17 → 19

Calls

Call 1

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

Outputs
(* (pow 4 1/8) (* x (sqrt (sqrt 2))))
(* x (sqrt (sqrt 2)))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(sqrt x)
(* 2 (pow x 2))
(* 2 (sqrt (pow x 3)))
(* 2 x)
(* (pow 256 1/16) x)
(* (pow 4 1/4) x)
(* (pow 4 1/8) (sqrt x))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (pow 4 1/4) (* x (pow (sqrt -1) 2))))
(* -1 (* (pow 4 1/8) (* (sqrt x) (pow (sqrt -1) 2))))

Calls

3 calls:

Time

Variable

Point

Expression

131.0ms

((* (pow 4 1/8) (* (sqrt (sqrt 2)) x)) (pow 4 1/8) (* (sqrt (sqrt 2)) x) (sqrt (sqrt 2)) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (* x 2) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (pow (* (pow 4 1/8) (sqrt x)) 2) (* (pow 4 1/8) (sqrt x)))

26.0ms

-inf

((* (pow 4 1/8) (* (sqrt (sqrt 2)) x)) (pow 4 1/8) (* (sqrt (sqrt 2)) x) (sqrt (sqrt 2)) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (* x 2) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (pow (* (pow 4 1/8) (sqrt x)) 2) (* (pow 4 1/8) (sqrt x)))

14.0ms

inf

((* (pow 4 1/8) (* (sqrt (sqrt 2)) x)) (pow 4 1/8) (* (sqrt (sqrt 2)) x) (sqrt (sqrt 2)) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (* x 2) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (pow (* (pow 4 1/8) (sqrt x)) 2) (* (pow 4 1/8) (sqrt x)))

simplify236.0ms (1.7%)

Memory

-21.2MiB live, 60.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	96
1	112	96
2	359	96
3	720	96
4	1543	96
5	2911	96
6	3961	96
7	4200	96
8	4324	96
9	4410	96
10	4444	96
11	4913	96
12	5175	96
13	5175	96
14	5175	96
15	5175	96
16	5175	96
17	5175	96
18	5601	96
19	7083	96
20	7099	96
0	7099	96

Stop Event

1×	iter limit
1×	saturated

Counts

19 → 19

Calls

Call 1

Inputs
(* (pow 4 1/8) (* x (sqrt (sqrt 2))))
(* x (sqrt (sqrt 2)))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(sqrt x)
(* 2 (pow x 2))
(* 2 (sqrt (pow x 3)))
(* 2 x)
(* (pow 256 1/16) x)
(* (pow 4 1/4) x)
(* (pow 4 1/8) (sqrt x))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (pow 4 1/4) (* x (pow (sqrt -1) 2))))
(* -1 (* (pow 4 1/8) (* (sqrt x) (pow (sqrt -1) 2))))

Outputs
(* (pow 4 1/8) (* x (sqrt (sqrt 2))))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(* x (sqrt (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(sqrt x)
(sqrt.f64 x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/8) (sqrt x))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* -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)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* -1 (* (pow 4 1/4) (* x (pow (sqrt -1) 2))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* -1 (* (pow 4 1/8) (* (sqrt x) (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))

rewrite99.0ms (0.7%)

Memory

-1.9MiB live, 76.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	94
0	40	85
1	98	69
2	285	68
0	1161	68

Stop Event

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

Counts

17 → 429

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))))
(.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)))))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) x)
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))))
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))
(.f64 x (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) x))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(exp.f64 (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))))
(*.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) x) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 256 binary64)) #s(literal 1/32 binary64))))
(exp.f64 (fma.f64 #s(literal 1/64 binary64) (log.f64 #s(literal 65536 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (log.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))))
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)))
(pow.f64 (exp.f64 #s(literal 1/32 binary64)) (log.f64 #s(literal 256 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))
(pow.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(fabs.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/64 binary64) (log.f64 #s(literal 256 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 65536 binary64)) #s(literal 1/64 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 256 binary64)) #s(literal 1/32 binary64)))
(.f64 (.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (sqrt.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))) (sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))
(.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)))
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(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))
(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))
(.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 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 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) x))
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) x)))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(pow.f64 (exp.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 16 binary64)) (log.f64 (sqrt.f64 x))))
(pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(exp.f64 (fma.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64) (log.f64 x)))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 16 binary64)) (log.f64 (sqrt.f64 x))) (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 16 binary64)) (log.f64 (sqrt.f64 x)))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (fma.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) (sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) #s(literal 1 binary64))
(exp.f64 (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 16 binary64)) (log.f64 (sqrt.f64 x))))

eval53.0ms (0.4%)

Memory: 12.7MiB live, 95.1MiB allocated
Compiler: Compiled 4 081 to 876 computations (78.5% saved)

prune13.0ms (0.1%)

Memory

-19.5MiB live, 19.7MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	332	1	333
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	333	9	342

Accuracy

100.0%

Counts

342 → 9

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)
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	99.6%	(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))
✓	99.3%	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
✓	99.1%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.4%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	55.6%	(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
✓	55.7%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 69 to 61 computations (11.6% saved)

simplify3.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))
cost-diff	0	(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x)
cost-diff	0	(pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64))
cost-diff	0	(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	13	25
1	17	25
2	24	25
3	26	25
0	26	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))
(pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64))
#s(literal 16777216 binary64)
#s(literal 1/64 binary64)
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x)
(pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))
#s(literal 65536 binary64)
#s(literal 1/128 binary64)
x

Outputs
(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))
(.f64 (.f64 x (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)))
(pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64))
#s(literal 16777216 binary64)
#s(literal 1/64 binary64)
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x)
(*.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)))
(pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))
#s(literal 65536 binary64)
#s(literal 1/128 binary64)
x

localize23.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64))
accuracy	0.0	(pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))
accuracy	0.23046875	(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x)
accuracy	0.23828125	(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))

Samples

17.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-pow: 7.0ms (68.8% of total)

ival-mult: 3.0ms (29.5% of total)

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

exact: 0.0ms (0% of total)

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

series104.0ms (0.7%)

Memory

-3.7MiB live, 149.5MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))
(pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64))
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x)
(pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))

Outputs
(* (pow 65536 1/128) (* (pow 16777216 1/64) x))
(* (pow 65536 1/128) x)

Calls

3 calls:

Time

Variable

Point

Expression

74.0ms

((* (pow 16777216 1/64) (* (pow 65536 1/128) x)) (pow 16777216 1/64) (* (pow 65536 1/128) x) (pow 65536 1/128))

15.0ms

-inf

((* (pow 16777216 1/64) (* (pow 65536 1/128) x)) (pow 16777216 1/64) (* (pow 65536 1/128) x) (pow 65536 1/128))

14.0ms

inf

((* (pow 16777216 1/64) (* (pow 65536 1/128) x)) (pow 16777216 1/64) (* (pow 65536 1/128) x) (pow 65536 1/128))

simplify2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	15	14
2	20	14
0	20	14

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(* (pow 65536 1/128) (* (pow 16777216 1/64) x))
(* (pow 65536 1/128) x)

Outputs
(* (pow 65536 1/128) (* (pow 16777216 1/64) x))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x) (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)))
(* (pow 65536 1/128) x)
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x)

rewrite53.0ms (0.4%)

Memory

16.3MiB live, 55.2MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	20
0	13	16
1	31	16
2	82	16
3	276	16
4	1366	8
0	6379	8

Stop Event

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

Counts

4 → 22

Calls

Call 1

Inputs
(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))
(pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64))
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x)
(pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))

Outputs
(.f64 (.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 281474976710656 binary64) #s(literal 1/1024 binary64))) (pow.f64 #s(literal 281474976710656 binary64) #s(literal 1/1024 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64)) x) (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64))) (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64)) (.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64)) x))
(.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64)) (.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64))))
(.f64 (pow.f64 #s(literal 281474976710656 binary64) #s(literal 1/1024 binary64)) (.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 281474976710656 binary64) #s(literal 1/1024 binary64))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 281474976710656 binary64) #s(literal 1/1024 binary64))) (pow.f64 #s(literal 281474976710656 binary64) #s(literal 1/1024 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64)) x) (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64))) (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64)) (.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64)) x))
(.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64)) (.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/2048 binary64))))
(.f64 (pow.f64 #s(literal 281474976710656 binary64) #s(literal 1/1024 binary64)) (.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 281474976710656 binary64) #s(literal 1/1024 binary64))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

eval1.0ms (0%)

Memory: 2.6MiB live, 2.6MiB allocated
Compiler: Compiled 119 to 41 computations (65.5% saved)

prune19.0ms (0.1%)

Memory

-31.9MiB live, 13.0MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	12	10	22

Accuracy

100.0%

Counts

22 → 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)
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.6%	(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))
✓	99.3%	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
✓	99.1%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.4%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	20.3%	(*.f64 x #s(literal 1 binary64))
✓	55.6%	(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
✓	55.7%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 184 to 120 computations (34.8% saved)

regimes13.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
(*.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 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) 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 (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))
(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #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)))))

Outputs
(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.6%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes15.0ms (0.1%)

Memory

-21.2MiB live, 15.5MiB allocated

Counts

11 → 1

Calls

Call 1

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

Calls

3 calls:

8.0ms	x
3.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)
3.0ms	(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)

regimes5.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.2%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

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)

simplify8.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	21
1	20	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x #s(literal 1 binary64))

Outputs
(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x #s(literal 1 binary64))
x

soundness5.9s (41.9%)

Memory

71.3MiB live, 424.0MiB allocated

Iterations

Useful iterations: 4 (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	23	94
0	40	85
1	98	69
2	285	68
0	1161	68
0	25	90
0	43	75
1	92	73
2	249	63
3	945	58
4	3665	48
0	8513	48
0	9	20
0	13	16
1	31	16
2	82	16
3	276	16
4	1366	8
0	6379	8

Stop Event

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

Compiler

Compiled 100 to 74 computations (26% saved)

preprocess38.0ms (0.3%)

Memory: -65.0MiB live, 41.0MiB allocated
Compiler: Compiled 90 to 78 computations (13.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample5.8s (41.7%)

explain143.0ms (1%)

preprocess50.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize15.0ms (0.1%)

series4.0ms (0%)

simplify40.0ms (0.3%)

rewrite231.0ms (1.7%)

eval43.0ms (0.3%)

prune7.0ms (0%)

simplify5.0ms (0%)

localize130.0ms (0.9%)

series235.0ms (1.7%)

simplify161.0ms (1.1%)

rewrite169.0ms (1.2%)

eval107.0ms (0.8%)

prune17.0ms (0.1%)

simplify6.0ms (0%)

localize72.0ms (0.5%)

series171.0ms (1.2%)

simplify236.0ms (1.7%)

rewrite99.0ms (0.7%)

eval53.0ms (0.4%)

prune13.0ms (0.1%)

simplify3.0ms (0%)

localize23.0ms (0.2%)

series104.0ms (0.7%)

simplify2.0ms (0%)

rewrite53.0ms (0.4%)

eval1.0ms (0%)

prune19.0ms (0.1%)

regimes13.0ms (0.1%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

simplify8.0ms (0.1%)

soundness5.9s (41.9%)

preprocess38.0ms (0.3%)

end0.0ms (0%)

Profiling