Metrics for sqrt C (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

sample820.0ms (5.2%)

Memory

-3.1MiB live, 776.1MiB allocated

Samples

574.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-mult: 129.0ms (56.1% of total)

ival-sqrt: 88.0ms (38.3% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain73.0ms (0.5%)

Memory

1.4MiB live, 114.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
143	-	3	(4.355207159408956e-161)	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 x x))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	oflow-rescue	76	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	overflow	76
↳	`(*.f64 x x)`	overflow	75
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	uflow-rescue	64	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	underflow	64
↳	`(*.f64 x x)`	underflow	64

Confusion

	Predicted +	Predicted -
+	140	3
-	0	113

Precision

1.0

Recall

0.9790209790209791

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	140	0	3
-	0	0	113

Precision?

1.0

Recall?

0.9790209790209791

Freqs

test

number	freq
0	116
1	140

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions

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

ival-mult: 7.0ms (59.9% of total)

ival-sqrt: 4.0ms (34.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	21	13
2	63	13
3	141	13
4	204	13
5	221	13
6	223	13
0	5	6
0	8	6
1	11	6
2	14	6
0	14	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	11	16
2	14	16
0	14	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.2%)

Memory

-19.7MiB live, 26.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (.f64 x x))
accuracy	32.88968585894462	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Samples

30.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

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

ival-mult: 22.0ms (89.5% of total)

ival-sqrt: 2.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify4.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	15	17
2	32	17
3	38	17
4	42	17
5	54	17
6	66	17
7	77	17
8	97	17
9	102	17
0	102	17

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 4

Calls

Call 1

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

rewrite166.0ms (1%)

Memory

-15.3MiB live, 219.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	17	13
2	46	12
3	123	12
4	580	12
5	3914	12
0	8179	12

Stop Event

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

Counts

3 → 226

Calls

Call 1

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

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

eval45.0ms (0.3%)

Memory: 10.9MiB live, 47.5MiB allocated
Compiler: Compiled 2 959 to 751 computations (74.6% saved)

prune8.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	223	7	230
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	223	8	231

Accuracy

100.0%

Counts

231 → 8

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 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
▶	99.5%	(.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.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))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	48.3%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	48.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 120 to 105 computations (12.5% saved)

simplify11.0ms (0.1%)

Memory

-41.2MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	6784	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff	0	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
cost-diff	0	(pow.f64 x #s(literal 5/8 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	114
0	42	114
1	55	110
2	65	110
3	67	110
0	67	110

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize76.0ms (0.5%)

Memory

43.9MiB live, 153.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy	0.25	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
accuracy	0.28515625	(.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	(sqrt.f64 x)
accuracy	0.00390625	(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
accuracy	0.3976327637479346	(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
accuracy	32.88968585894462	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	0.37728500976844204	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.43359375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0	(sqrt.f64 x)
accuracy	0.13671875	(sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
accuracy	0.26009750976844204	(.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
accuracy	0.37890625	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))

Samples

57.0ms

256×

valid

Compiler

Compiled 230 to 50 computations (78.3% saved)

Precisions

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

ival-pow: 19.0ms (46.6% of total)

ival-mult: 12.0ms (29.4% of total)

ival-sqrt: 8.0ms (19.6% of total)

exact: 1.0ms (2.5% of total)

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

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

series225.0ms (1.4%)

Memory

0.3MiB live, 273.8MiB allocated

Counts

16 → 21

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
97.0ms	x	@	0	((* (pow x 5/8) (sqrt (* (pow x 1/4) (* (sqrt x) 2)))) (pow x 5/8) (sqrt (* (pow x 1/4) (* (sqrt x) 2))) (* (pow x 1/4) (* (sqrt x) 2)) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))
68.0ms	x	@	inf	((* (pow x 5/8) (sqrt (* (pow x 1/4) (* (sqrt x) 2)))) (pow x 5/8) (sqrt (* (pow x 1/4) (* (sqrt x) 2))) (* (pow x 1/4) (* (sqrt x) 2)) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))
59.0ms	x	@	-inf	((* (pow x 5/8) (sqrt (* (pow x 1/4) (* (sqrt x) 2)))) (pow x 5/8) (sqrt (* (pow x 1/4) (* (sqrt x) 2))) (* (pow x 1/4) (* (sqrt x) 2)) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))

Time

Variable

Point

Expression

97.0ms

((* (pow x 5/8) (sqrt (* (pow x 1/4) (* (sqrt x) 2)))) (pow x 5/8) (sqrt (* (pow x 1/4) (* (sqrt x) 2))) (* (pow x 1/4) (* (sqrt x) 2)) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))

68.0ms

inf

((* (pow x 5/8) (sqrt (* (pow x 1/4) (* (sqrt x) 2)))) (pow x 5/8) (sqrt (* (pow x 1/4) (* (sqrt x) 2))) (* (pow x 1/4) (* (sqrt x) 2)) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))

59.0ms

-inf

((* (pow x 5/8) (sqrt (* (pow x 1/4) (* (sqrt x) 2)))) (pow x 5/8) (sqrt (* (pow x 1/4) (* (sqrt x) 2))) (* (pow x 1/4) (* (sqrt x) 2)) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))

simplify159.0ms (1%)

Memory

-26.2MiB live, 114.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	70	144
1	162	144
2	418	134
3	863	134
4	1306	131
5	2418	131
6	3571	131
7	4333	124
8	4896	124
9	5631	124
10	6825	124
0	8167	124

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

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

Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 21/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp (* 1/8 (+ (log -1) (* -5 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 5 binary64))) #s(literal 1/8 binary64))
(* (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt 2)) (sqrt (sqrt -1)))
(.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* 2 (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (pow (sqrt -1) 4))
(*.f64 x x)

rewrite192.0ms (1.2%)

Memory

22.0MiB live, 205.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	89
0	42	112
1	95	91
2	259	61
3	961	61
4	4683	61
0	8098	61

Stop Event

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

Counts

16 → 1 046

Calls

Call 1

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

Outputs
(.f64 (exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 15/32 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 5/64 binary64))) (pow.f64 x #s(literal 5/64 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5/8 binary64))) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/32 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (pow.f64 x #s(literal 1/32 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5/8 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 11/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/16 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 5/32 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 5/32 binary64))))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 9/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 5/32 binary64)) (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x))
(.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 (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (.f64 #s(literal 16 binary64) x) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 11/16 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 5/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 5/8 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(.f64 (pow.f64 x #s(literal 15/32 binary64)) (.f64 (pow.f64 x #s(literal 5/32 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/32 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 15/32 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 5/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)))
(.f64 (pow.f64 x #s(literal 11/16 binary64)) (.f64 (pow.f64 x #s(literal 5/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 9/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 7/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 15/32 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 5/32 binary64)))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(.f64 (pow.f64 x #s(literal 7/16 binary64)) (.f64 (pow.f64 x #s(literal 9/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 5/32 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 5/32 binary64))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 5/32 binary64))) (pow.f64 x #s(literal 5/16 binary64))))
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 5/32 binary64)) x))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) x)))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 5/64 binary64)) (.f64 (pow.f64 x #s(literal 5/64 binary64)) (.f64 (pow.f64 x #s(literal 15/32 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(.f64 (.f64 (pow.f64 x #s(literal 5/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 11/16 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 16 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5/8 binary64))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/32 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64)))))
(.f64 (pow.f64 x #s(literal 1/32 binary64)) (.f64 (pow.f64 x #s(literal 1/32 binary64)) (.f64 (pow.f64 x #s(literal 11/16 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 x #s(literal 1/32 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5/8 binary64))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64)))))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64)))))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 5/8 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64)))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 9/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 11/16 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 11/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 5/16 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(.f64 (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) x))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64)))))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 x #s(literal 5/32 binary64)) (.f64 (pow.f64 x #s(literal 15/32 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 5/8 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/16 binary64)))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 5/16 binary64)) (.f64 (pow.f64 x #s(literal 11/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
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(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5/4 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (fma.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 5/8 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x)))
(.f64 (exp.f64 (.f64 #s(literal 3/32 binary64) (log.f64 #s(literal 4 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (sqrt.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (exp.f64 (.f64 #s(literal 3/32 binary64) (log.f64 #s(literal 4 binary64)))))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 64 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 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/16 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/16 binary64)) (log.f64 #s(literal 16 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 1 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 #s(literal 4 binary64) #s(literal 1/8 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) #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 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 256 binary64)) #s(literal 1/32 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/64 binary64) (log.f64 #s(literal 16 binary64))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 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 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (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 #s(literal 64 binary64) #s(literal 1/32 binary64)) x))
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x)
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 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)) x))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #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 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) #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 (log.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) #s(literal 2 binary64)))

eval132.0ms (0.8%)

Memory: -10.2MiB live, 176.5MiB allocated
Compiler: Compiled 9 915 to 2 071 computations (79.1% saved)

prune22.0ms (0.1%)

Memory

17.3MiB live, 61.0MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	718	4	722
Fresh	2	0	2
Picked	1	4	5
Done	0	1	1
Total	721	9	730

Accuracy

100.0%

Counts

730 → 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)
▶	99.5%	(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
✓	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))
▶	99.1%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
▶	99.0%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
✓	99.4%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	48.3%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	48.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 68 to 57 computations (16.2% saved)

simplify7.0ms (0%)

Memory

-23.4MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
cost-diff	6464	(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
cost-diff	0	(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
cost-diff	0	(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
cost-diff	0	(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
cost-diff	0	(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
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	1600	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff	1600	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	97
0	37	97
1	51	77
2	68	77
3	94	77
4	123	77
0	123	77

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(sqrt.f64 x)
x
(.f64 (.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)
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
#s(literal 64 binary64)
#s(literal 1/16 binary64)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
#s(literal 16 binary64)
#s(literal 1/32 binary64)
x
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
#s(literal 2 binary64)
x

Outputs
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 x)
x
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(.f64 (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
#s(literal 64 binary64)
#s(literal 1/16 binary64)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
#s(literal 16 binary64)
#s(literal 1/32 binary64)
x
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 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

localize84.0ms (0.5%)

Memory

-6.2MiB live, 170.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
accuracy	0.43359375	(*.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	(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
accuracy	0	(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
accuracy	0.1953125	(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
accuracy	0.3046875	(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
accuracy	0	(sqrt.f64 x)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.37728500976844204	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
accuracy	0.46322250976844204	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.37728500976844204	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
accuracy	0.546875	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))

Samples

53.0ms

256×

valid

Compiler

Compiled 196 to 46 computations (76.5% saved)

Precisions

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

ival-pow: 16.0ms (39.8% of total)

ival-mult: 15.0ms (37.3% of total)

ival-sqrt: 5.0ms (12.4% of total)

ival-pow2: 3.0ms (7.5% of total)

exact: 1.0ms (2.5% of total)

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

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

series221.0ms (1.4%)

Memory

29.7MiB live, 256.2MiB allocated

Counts

15 → 13

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(.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 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 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))

Outputs
(* 2 x)
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 (sqrt x))
(sqrt x)
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 16 1/32) x)
(* (pow 256 1/16) x)
(* -2 (* x (pow (sqrt -1) 2)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

113.0ms

((* (* 2 (sqrt x)) (sqrt x)) (* (sqrt (* (* 2 (sqrt x)) (sqrt x))) (sqrt x)) (sqrt (* (* 2 (sqrt x)) (sqrt x))) (* 2 (sqrt x)) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32))

84.0ms

-inf

((* (* 2 (sqrt x)) (sqrt x)) (* (sqrt (* (* 2 (sqrt x)) (sqrt x))) (sqrt x)) (sqrt (* (* 2 (sqrt x)) (sqrt x))) (* 2 (sqrt x)) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32))

24.0ms

inf

((* (* 2 (sqrt x)) (sqrt x)) (* (sqrt (* (* 2 (sqrt x)) (sqrt x))) (sqrt x)) (sqrt (* (* 2 (sqrt x)) (sqrt x))) (* 2 (sqrt x)) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32))

simplify139.0ms (0.9%)

Memory

-21.1MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	55
1	69	55
2	158	55
3	334	55
4	1045	55
5	1759	55
6	2461	55
7	2588	55
8	2653	55
9	2710	55
10	2728	55
11	3122	55
12	3282	55
13	3282	55
14	3282	55
15	3282	55
16	3282	55
17	3709	55
18	4849	55
19	4865	55
0	4865	55

Stop Event

1×	iter limit
1×	saturated

Counts

13 → 13

Calls

Call 1

Inputs
(* 2 x)
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 (sqrt x))
(sqrt x)
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 16 1/32) x)
(* (pow 256 1/16) x)
(* -2 (* x (pow (sqrt -1) 2)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(* 2 x)
(*.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)))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(* (pow 16 1/32) (* (pow 64 1/16) x))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 16 1/32) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* -2 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite187.0ms (1.2%)

Memory

6.9MiB live, 82.3MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	82
0	37	89
1	89	47
2	254	47
3	881	47
4	6341	37
0	8636	37

Stop Event

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

Counts

15 → 791

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(.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 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 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))

Outputs
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))))
(.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 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (exp.f64 (log.f64 (.f64 (sqrt.f64 x) #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))))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 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 (.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 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 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 x #s(literal 1/8 binary64))) (pow.f64 (.f64 x #s(literal 4 binary64)) #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 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) (.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 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 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.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 #s(literal 256 binary64) #s(literal 1/512 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x)))
(.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 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #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 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 4 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 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) x)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x))
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (.f64 #s(literal 1 binary64) x))
(.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 #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 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
(.f64 (sqrt.f64 x) (.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 x #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (exp.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/4 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 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 (.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #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 (exp.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 x (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 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 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/256 binary64) (log.f64 #s(literal 256 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal 1/256 binary64) (log.f64 #s(literal 256 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(.f64 (.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) (.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 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 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.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 #s(literal 256 binary64) #s(literal 1/512 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x)))
(.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 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #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 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 4 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 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) x)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x))
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (.f64 #s(literal 1 binary64) x))
(.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 #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 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
(.f64 (sqrt.f64 x) (.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 x #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (exp.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/4 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 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 (.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #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 (exp.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 x (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 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 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/256 binary64) (log.f64 #s(literal 256 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal 1/256 binary64) (log.f64 #s(literal 256 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 4 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (log.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)

eval6.6s (41.6%)

Memory: 5.5MiB live, 83.7MiB allocated
Compiler: Compiled 5 545 to 1 086 computations (80.4% saved)

prune20.0ms (0.1%)

Memory

20.3MiB live, 42.4MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	418	2	420
Fresh	0	0	0
Picked	0	4	4
Done	1	4	5
Total	419	10	429

Accuracy

100.0%

Counts

429 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.6%	(pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64))
✓	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.5%	(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
✓	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))
✓	99.1%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.0%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
✓	99.4%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	20.3%	(*.f64 x #s(literal 1 binary64))
✓	48.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 75 to 61 computations (18.7% saved)

simplify4.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	43
0	16	41
1	27	41
2	60	35
3	79	31
4	82	31
0	82	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize1.5s (9.6%)

Memory

12.9MiB live, 50.9MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 #s(literal 4 binary64) (.f64 x x))
accuracy	0.0625	(.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x)
accuracy	0.07421875	(.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) x)
accuracy	45.68837544494771	(pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64))
accuracy	0	(*.f64 x #s(literal 1 binary64))

Samples

1.5s

256×

valid

Compiler

Compiled 88 to 22 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 1.5s (99.6% of total)

ival-pow: 5.0ms (0.3% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.2%)

Memory

14.5MiB live, 34.4MiB allocated

Counts

6 → 7

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

18.0ms

((* x 1) (* (* (* 4 (* x x)) x) x) (pow (* (* (* 4 (* x x)) x) x) 1/4) (* 4 (* x x)) (* x x) (* (* 4 (* x x)) x))

8.0ms

-inf

((* x 1) (* (* (* 4 (* x x)) x) x) (pow (* (* (* 4 (* x x)) x) x) 1/4) (* 4 (* x x)) (* x x) (* (* 4 (* x x)) x))

8.0ms

inf

((* x 1) (* (* (* 4 (* x x)) x) x) (pow (* (* (* 4 (* x x)) x) x) 1/4) (* 4 (* x x)) (* x x) (* (* 4 (* x x)) x))

simplify5.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	30
1	26	30
2	49	30
3	60	30
4	64	30
5	76	30
6	88	30
7	99	30
8	127	30
9	138	30
0	138	30

Stop Event

1×	iter limit
1×	saturated

Counts

7 → 6

Calls

Call 1

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

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

rewrite451.0ms (2.8%)

Memory

-72.5MiB live, 91.6MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	16	36
1	39	30
2	127	26
3	492	24
4	2775	24
0	8389	24

Stop Event

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

Counts

6 → 175

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 x x))
(exp.f64 (.f64 (.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 x))
x
(*.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 #s(literal 4 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 4 binary64) x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 4 binary64) x))
(.f64 (.f64 #s(literal 4 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) x)
(.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 4 binary64) x))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 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 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 4 binary64) x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (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 (/.f64 #s(literal 4 binary64) (*.f64 x x)))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 4 binary64) x))))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 4 binary64) x))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))))) (exp.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))))))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(literal 4 binary64)))) x)
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 7/32 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 1/8 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/32 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/32 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/32 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/32 binary64)) (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))) x)
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 7/32 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 4 binary64)) #s(literal 3/16 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/32 binary64))))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/32 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/32 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/32 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 7/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) x))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/32 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/32 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(pow.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 1/16 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/8 binary64)) (exp.f64 #s(literal 1/8 binary64))) (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (/.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 4 binary64) x))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 4 binary64) x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 x))))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (fma.f64 #s(literal 8 binary64) (log.f64 x) (log.f64 #s(literal 16 binary64))))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))))
(pow.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (pow.f64 (exp.f64 #s(literal 1/4 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 (/.f64 #s(literal 4 binary64) (*.f64 x x)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 4 binary64) x))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 4 binary64) x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 2 binary64))) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 4 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 (fma.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64) (log.f64 x)))
(.f64 (exp.f64 (+.f64 (log.f64 #s(literal 4 binary64)) #s(literal 0 binary64))) (.f64 x x))
(.f64 (.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) x)))
(.f64 (.f64 #s(literal 4 binary64) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal 4 binary64)))))
(.f64 (.f64 x x) (exp.f64 (+.f64 (log.f64 #s(literal 4 binary64)) #s(literal 0 binary64))))
(.f64 (.f64 x x) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4 binary64)))
(.f64 x (.f64 #s(literal 4 binary64) x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 16 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 4 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (.f64 x x) #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (+.f64 (log.f64 #s(literal 4 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(.f64 (.f64 #s(literal 4 binary64) x) (*.f64 x x))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) x)
(.f64 (.f64 x x) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))
(.f64 x (.f64 (*.f64 x x) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))))

eval25.0ms (0.2%)

Memory: 27.7MiB live, 65.0MiB allocated
Compiler: Compiled 2 513 to 561 computations (77.7% saved)

prune56.0ms (0.3%)

Memory

-19.6MiB live, 28.9MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	0	0	0
Picked	1	1	2
Done	0	8	8
Total	181	10	191

Accuracy

100.0%

Counts

191 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.6%	(pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64))
✓	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.5%	(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
✓	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))
✓	99.1%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.0%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
✓	99.4%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	48.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
	20.3%	x

Compiler

Compiled 186 to 117 computations (37.1% saved)

regimes38.0ms (0.2%)

Memory

-4.2MiB live, 33.8MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 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))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 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 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 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 x #s(literal 5/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))

Outputs
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))

Calls

4 calls:

24.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
5.0ms	x
4.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
4.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 15 to 12 computations (20% saved)

regimes18.0ms (0.1%)

Memory

-6.5MiB live, 30.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

4 calls:

7.0ms	x
3.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
3.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
3.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 15 to 12 computations (20% saved)

regimes8.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
99.3%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
99.3%	1	`(*.f64 x x)`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes6.0ms (0%)

Memory

16.3MiB live, 16.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

2.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
1.0ms	x
1.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
1.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 15 to 12 computations (20% saved)

simplify26.0ms (0.2%)

Memory

-25.8MiB live, 55.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	21
1	21	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x

Outputs
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x

soundness4.4s (27.7%)

Memory

14.7MiB live, 607.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	16	36
1	39	30
2	127	26
3	492	24
4	2775	24
0	8389	24
0	24	89
0	42	112
1	95	91
2	259	61
3	961	61
4	4683	61
0	8098	61
0	22	82
0	37	89
1	89	47
2	254	47
3	881	47
4	6341	37
0	8636	37
0	5	14
0	8	14
1	17	13
2	46	12
3	123	12
4	580	12
5	3914	12
0	8179	12

Stop Event

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

Compiler

Compiled 96 to 63 computations (34.4% saved)

preprocess42.0ms (0.3%)

Memory: 12.1MiB live, 94.1MiB allocated
Compiler: Compiled 108 to 96 computations (11.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample820.0ms (5.2%)

explain73.0ms (0.5%)

preprocess14.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize35.0ms (0.2%)

series3.0ms (0%)

simplify4.0ms (0%)

rewrite166.0ms (1%)

eval45.0ms (0.3%)

prune8.0ms (0.1%)

simplify11.0ms (0.1%)

localize76.0ms (0.5%)

series225.0ms (1.4%)

simplify159.0ms (1%)

rewrite192.0ms (1.2%)

eval132.0ms (0.8%)

prune22.0ms (0.1%)

simplify7.0ms (0%)

localize84.0ms (0.5%)

series221.0ms (1.4%)

simplify139.0ms (0.9%)

rewrite187.0ms (1.2%)

eval6.6s (41.6%)

prune20.0ms (0.1%)

simplify4.0ms (0%)

localize1.5s (9.6%)

series34.0ms (0.2%)

simplify5.0ms (0%)

rewrite451.0ms (2.8%)

eval25.0ms (0.2%)

prune56.0ms (0.3%)

regimes38.0ms (0.2%)

regimes18.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

simplify26.0ms (0.2%)

soundness4.4s (27.7%)

preprocess42.0ms (0.3%)

end0.0ms (0%)

Profiling