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)

sample914.0ms (7.9%)

Memory

-4.8MiB live, 775.6MiB allocated

Samples

477.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-mult: 171.0ms (64.9% of total)

ival-sqrt: 78.0ms (29.6% of total)

ival-true: 6.0ms (2.3% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain125.0ms (1.1%)

Memory

31.4MiB live, 154.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
119	-	3	(-2.487923194383986e-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	59	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	overflow	59
↳	`(*.f64 x x)`	overflow	59
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	uflow-rescue	57	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	underflow	56
↳	`(*.f64 x x)`	underflow	57

Confusion

	Predicted +	Predicted -
+	116	3
-	0	137

Precision

1.0

Recall

0.9747899159663865

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	116	0	3
-	0	0	137

Precision?

1.0

Recall?

0.9747899159663865

Freqs

test

number	freq
0	140
1	116

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 74 to 32 computations (56.8% saved)

Precisions

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

ival-mult: 7.0ms (59.2% of total)

ival-sqrt: 4.0ms (33.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess67.0ms (0.6%)

Memory

-17.3MiB live, 20.6MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.3%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify2.0ms (0%)

Memory

4.1MiB live, 4.1MiB 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

localize20.0ms (0.2%)

Memory

-11.9MiB live, 24.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.015625	(.f64 #s(literal 2 binary64) (.f64 x x))
accuracy	27.281358431095693	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Samples

16.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

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

ival-mult: 3.0ms (53.2% of total)

ival-sqrt: 2.0ms (35.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

5.8MiB live, 5.8MiB 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

5.6MiB live, 5.6MiB 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)))

rewrite150.0ms (1.3%)

Memory

-16.0MiB live, 141.2MiB 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)))

eval47.0ms (0.4%)

Memory: 12.7MiB live, 49.6MiB allocated
Compiler: Compiled 2 959 to 751 computations (74.6% saved)

prune6.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	225	5	230
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	225	6	231

Accuracy

100.0%

Counts

231 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
▶	99.4%	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
▶	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	56.9%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	57.3%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 76 to 67 computations (11.8% saved)

simplify5.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	0	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
cost-diff	7104	(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	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 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	91
0	32	92
1	42	84
2	57	84
3	61	84
4	70	84
5	73	84
0	73	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize82.0ms (0.7%)

Memory

-14.2MiB live, 149.2MiB 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	(sqrt.f64 x)
accuracy	0.30078125	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
accuracy	0.43978500976844204	(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
accuracy	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy	0.21484375	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
accuracy	0.265625	(.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	0.015625	(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
accuracy	0.4949953125901448	(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
accuracy	27.281358431095693	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.4453125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	0.3125	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Samples

57.0ms

256×

valid

Compiler

Compiled 184 to 38 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 26.0ms (61.9% of total)

ival-sqrt: 6.0ms (14.3% of total)

ival-pow: 6.0ms (14.3% of total)

ival-pow2: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series87.0ms (0.8%)

Memory

2.4MiB live, 119.5MiB allocated

Counts

14 → 17

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
63.0ms	x	@	0	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (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) (pow (* (pow 4 1/8) (sqrt x)) 2) (* (pow 4 1/8) (sqrt x)))
15.0ms	x	@	-inf	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (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) (pow (* (pow 4 1/8) (sqrt x)) 2) (* (pow 4 1/8) (sqrt x)))
8.0ms	x	@	inf	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (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) (pow (* (pow 4 1/8) (sqrt x)) 2) (* (pow 4 1/8) (sqrt x)))

Time

Variable

Point

Expression

63.0ms

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

15.0ms

-inf

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

8.0ms

inf

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

simplify147.0ms (1.3%)

Memory

17.1MiB live, 55.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	80
1	90	80
2	289	80
3	609	80
4	1661	80
5	3187	80
6	4129	80
7	4261	80
8	4296	80
9	4310	80
10	4310	80
11	4350	80
12	4366	80
13	4366	80
14	4366	80
15	4845	80
16	5238	80
17	5278	80
0	5278	80

Stop Event

1×	iter limit
1×	saturated

Counts

17 → 17

Calls

Call 1

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

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

rewrite157.0ms (1.4%)

Memory

-2.1MiB live, 155.8MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	70
0	32	63
1	75	63
2	209	53
3	786	52
4	4863	52
0	8201	52

Stop Event

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

Counts

14 → 950

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/32 binary64) (log.f64 #s(literal 16 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 1 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/32 binary64) (log.f64 #s(literal 4 binary64)) (log.f64 (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/64 binary64) (log.f64 #s(literal 16 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/64 binary64) (log.f64 #s(literal 16 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/32 binary64) (log.f64 #s(literal 4 binary64)) (log.f64 (sqrt.f64 x)))))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/128 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/128 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 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 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)))
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(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
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(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))
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(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
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(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
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(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (pow.f64 (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (pow.f64 (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (log.f64 #s(literal 16 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 (log.f64 #s(literal 16 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (log.f64 #s(literal 16 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) (log.f64 (/.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) (pow.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (log.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (log.f64 (/.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(exp.f64 (.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (log.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))

eval8.1s (70.1%)

Memory: 24.1MiB live, 163.0MiB allocated
Compiler: Compiled 10 299 to 2 046 computations (80.1% saved)

prune124.0ms (1.1%)

Memory

-35.6MiB live, 40.5MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	779	4	783
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	780	9	789

Accuracy

100.0%

Counts

789 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.4%	(.f64 (pow.f64 #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 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
▶	99.0%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
▶	99.1%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	56.9%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	57.3%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify70.0ms (0.6%)

Memory

-31.6MiB live, 7.7MiB 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	(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x))
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	1600	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #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	(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff	2560	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	102
0	32	91
1	42	87
2	60	87
3	63	87
4	74	87
5	87	87
0	87	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 x)
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
#s(literal 2 binary64)
x

localize81.0ms (0.7%)

Memory

4.7MiB live, 42.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
accuracy	0.4453125	(*.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	0.1171875	(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy	0.265625	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
accuracy	0.36328125	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x))
accuracy	0.4453125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0	(sqrt.f64 x)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.3125	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
accuracy	0.45541000976844204	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.1171875	(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy	0.43978500976844204	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
accuracy	0.4453125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Samples

36.0ms

256×

valid

Compiler

Compiled 206 to 40 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 9.0ms (37.3% of total)

ival-pow: 6.0ms (24.9% of total)

ival-sqrt: 5.0ms (20.7% of total)

ival-pow2: 2.0ms (8.3% of total)

exact: 1.0ms (4.1% of total)

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

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

series148.0ms (1.3%)

Memory

-0.7MiB live, 80.8MiB allocated

Counts

13 → 13

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

34.0ms

-inf

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

24.0ms

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

14.0ms

inf

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

simplify155.0ms (1.3%)

Memory

31.0MiB live, 68.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	65
1	79	65
2	265	65
3	600	65
4	1018	65
5	1438	65
6	1969	65
7	2203	65
8	2239	65
9	2247	65
10	2249	65
11	2249	65
12	2249	65
13	2611	65
14	3041	65
15	3121	65
16	3177	65
17	3185	65
18	3185	65
19	3185	65
20	3626	65
21	3944	65
22	3952	65
0	3952	65

Stop Event

1×	iter limit
1×	saturated

Counts

13 → 13

Calls

Call 1

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

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

rewrite51.0ms (0.4%)

Memory

-14.3MiB live, 60.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	75
0	32	57
1	78	57
2	243	53
0	1243	53

Stop Event

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

Counts

13 → 254

Calls

Call 1

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

Outputs
(.f64 (.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (fabs.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (fabs.f64 (sqrt.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fabs.f64 (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x))
(.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (fabs.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(fabs.f64 (neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
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(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (pow.f64 (.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x))
(pow.f64 (.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(exp.f64 (fma.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)))
(*.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64))))
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (pow.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)))
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 256 binary64)) #s(literal 1/32 binary64)))
(pow.f64 #s(literal 4294967296 binary64) #s(literal 1/64 binary64))
(pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64))
(pow.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/64 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 65536 binary64)) #s(literal 1/32 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 256 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 256 binary64))))
(.f64 (.f64 (*.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))) (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)))
(.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) x))
(*.f64 x (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/64 binary64)))
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (.f64 (pow.f64 #s(literal 16777216 binary64) #s(literal 1/64 binary64)) x))
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (*.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)))))
(*.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/64 binary64)) x)
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64))))
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)))
(pow.f64 (exp.f64 #s(literal 1/32 binary64)) (log.f64 #s(literal 256 binary64)))
(pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))
(pow.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/64 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/64 binary64) (log.f64 #s(literal 256 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 65536 binary64)) #s(literal 1/64 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 256 binary64)) #s(literal 1/32 binary64)))

eval43.0ms (0.4%)

Memory: 17.8MiB live, 100.1MiB allocated
Compiler: Compiled 4 172 to 697 computations (83.3% saved)

prune8.0ms (0.1%)

Memory

-15.0MiB live, 23.5MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	306	3	309
Fresh	0	0	0
Picked	2	2	4
Done	1	4	5
Total	309	9	318

Accuracy

100.0%

Counts

318 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(approx ( (sqrt (* (sqrt 2) x)) (sqrt x)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
▶	99.2%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
✓	99.0%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.1%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	56.9%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	57.3%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
▶	99.1%	#s(approx (* (pow 4 1/8) (* (sqrt (* (sqrt 2) x)) (sqrt x))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x))

Compiler

Compiled 98 to 82 computations (16.3% saved)

simplify5.0ms (0%)

Memory

9.1MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	153
0	44	153
1	59	153
2	79	153
3	84	153
0	84	153

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize86.0ms (0.7%)

Memory

1.8MiB live, 85.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	#s(approx (* (sqrt (* (sqrt 2) x)) (sqrt x)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
accuracy	0.21484375	(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)
accuracy	0.265625	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(approx ( (sqrt (* (sqrt 2) x)) (sqrt x)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
accuracy	0.14453125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.35546875	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.43978500976844204	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
accuracy	0.4453125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	#s(approx (* (pow 4 1/8) (* (sqrt (* (sqrt 2) x)) (sqrt x))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x))
accuracy	0.4453125	(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
accuracy	1.0	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))

Samples

71.0ms

256×

valid

Compiler

Compiled 286 to 55 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 41.0ms (71.1% of total)

ival-sqrt: 12.0ms (20.8% of total)

ival-pow: 4.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series97.0ms (0.8%)

Memory

-22.3MiB live, 135.2MiB allocated

Counts

14 → 14

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

54.0ms

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

26.0ms

-inf

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

16.0ms

inf

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

simplify279.0ms (2.4%)

Memory

1.7MiB live, 79.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	102
1	102	102
2	308	100
3	760	100
4	1192	100
5	1966	100
6	2300	100
7	2509	100
8	2597	100
9	2622	100
10	2631	100
11	2800	100
12	2870	100
13	2870	100
14	2870	100
15	2870	100
16	3347	100
17	4963	100
18	5365	100
19	5409	100
20	5417	100
21	5429	100
22	5433	100
23	5451	100
24	5451	100
25	5511	100
26	5535	100
27	5535	100
28	5749	100
29	5841	100
30	5873	100
31	5877	100
32	5877	100
0	5877	100

Stop Event

1×	iter limit
1×	saturated

Counts

14 → 14

Calls

Call 1

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

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

rewrite113.0ms (1%)

Memory

30.5MiB live, 145.7MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	120
0	44	110
1	80	109
2	200	101
3	772	76
4	4615	76
0	8112	76

Stop Event

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

Counts

14 → 450

Calls

Call 1

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

Outputs
#s(approx (* (pow 4 1/8) (* (sqrt (* (sqrt 2) x)) (sqrt x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.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 256 binary64) #s(literal 1/32 binary64)))) #s(literal 2 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.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 256 binary64) #s(literal 1/32 binary64)))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) x) (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) x))
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (.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 256 binary64) #s(literal 1/32 binary64)))) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/8 binary64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x) #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.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 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (log.f64 #s(literal 16 binary64)))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) #s(literal 8 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 #s(literal 256 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 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64))) (sqrt.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 2 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 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/16 binary64)) (log.f64 #s(literal 16 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (+.f64 (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) #s(literal 4 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(fabs.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 #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 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))
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(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.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 256 binary64) #s(literal 1/32 binary64)))) #s(literal 2 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.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 256 binary64) #s(literal 1/32 binary64)))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) x) (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) x))
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (.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 256 binary64) #s(literal 1/32 binary64)))) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/8 binary64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x) #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.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 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(sqrt.f64 (sqrt.f64 x))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 x))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))

eval68.0ms (0.6%)

Memory: -12.6MiB live, 61.4MiB allocated
Compiler: Compiled 8 161 to 1 271 computations (84.4% saved)

prune18.0ms (0.2%)

Memory

-5.8MiB live, 40.7MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	374	2	376
Fresh	0	0	0
Picked	3	0	3
Done	1	5	6
Total	378	7	385

Accuracy

100.0%

Counts

385 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.1%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
	99.4%	(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(approx ( (sqrt (* (sqrt 2) x)) (sqrt x)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	57.3%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
	99.1%	#s(approx (* (pow 4 1/8) (* (sqrt (* (sqrt 2) x)) (sqrt x))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x))

Compiler

Compiled 250 to 114 computations (54.4% saved)

regimes21.0ms (0.2%)

Memory

8.3MiB live, 45.9MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
5.0ms	x
4.0ms	(sqrt.f64 (.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)

regimes6.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Accuracy

Total -27.1b remaining (-6081.8%)

Threshold costs -27.1b (-6081.8%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.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:

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

simplify50.0ms (0.4%)

Memory

-32.4MiB live, 44.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness184.0ms (1.6%)

Memory

4.1MiB live, 119.8MiB 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×	fuel
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 34 to 24 computations (29.4% saved)

preprocess20.0ms (0.2%)

Memory: 0.8MiB live, 37.9MiB allocated
Compiler: Compiled 62 to 50 computations (19.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample914.0ms (7.9%)

explain125.0ms (1.1%)

preprocess67.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize20.0ms (0.2%)

series3.0ms (0%)

simplify4.0ms (0%)

rewrite150.0ms (1.3%)

eval47.0ms (0.4%)

prune6.0ms (0.1%)

simplify5.0ms (0%)

localize82.0ms (0.7%)

series87.0ms (0.8%)

simplify147.0ms (1.3%)

rewrite157.0ms (1.4%)

eval8.1s (70.1%)

prune124.0ms (1.1%)

simplify70.0ms (0.6%)

localize81.0ms (0.7%)

series148.0ms (1.3%)

simplify155.0ms (1.3%)

rewrite51.0ms (0.4%)

eval43.0ms (0.4%)

prune8.0ms (0.1%)

simplify5.0ms (0%)

localize86.0ms (0.7%)

series97.0ms (0.8%)

simplify279.0ms (2.4%)

rewrite113.0ms (1%)

eval68.0ms (0.6%)

prune18.0ms (0.2%)

regimes21.0ms (0.2%)

regimes6.0ms (0.1%)

simplify50.0ms (0.4%)

soundness184.0ms (1.6%)

preprocess20.0ms (0.2%)

end0.0ms (0%)

Profiling