Metrics for sqrt C (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample810.0ms (5.2%)

Memory

38.9MiB live, 775.1MiB allocated

Samples

554.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 338.0ms

ival-mult: 256.0ms (75.7% of total)

ival-sqrt: 69.0ms (20.4% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain71.0ms (0.5%)

Memory

-18.5MiB live, 66.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
133	-	3	(-1.2575720592740204e-157)	`(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)))`	uflow-rescue	65	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	underflow	65
↳	`(*.f64 x x)`	underflow	65
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	oflow-rescue	65	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	overflow	65
↳	`(*.f64 x x)`	overflow	65

Confusion

	Predicted +	Predicted -
+	130	3
-	0	123

Precision

1.0

Recall

0.9774436090225563

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	3
-	0	0	123

Precision?

1.0

Recall?

0.9774436090225563

Freqs

test

number	freq
0	126
1	130

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

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

ival-sqrt: 18.0ms (70.2% of total)

ival-mult: 7.0ms (27.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB 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	207	13
5	224	13
6	226	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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify2.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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

localize26.0ms (0.2%)

Memory

-7.9MiB live, 30.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(.f64 #s(literal 2 binary64) (.f64 x x))
accuracy	30.477126939110537	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Samples

20.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-sqrt: 12.0ms (78% of total)

ival-mult: 3.0ms (19.5% 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

4.6MiB live, 4.6MiB 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

3.6MiB live, 3.6MiB 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)))

rewrite151.0ms (1%)

Memory

-4.1MiB live, 149.3MiB 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)))

eval44.0ms (0.3%)

Memory: -5.8MiB live, 78.5MiB allocated
Compiler: Compiled 2 959 to 751 computations (74.6% saved)

prune10.0ms (0.1%)

Memory

-14.0MiB live, 24.1MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	222	8	230
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	222	9	231

Accuracy

100.0%

Counts

231 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
▶	29.8%	(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
▶	99.5%	(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
	99.2%	(.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))
▶	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	52.3%	(sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	52.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
▶	29.8%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 126 to 111 computations (11.9% saved)

simplify5.0ms (0%)

Memory

9.8MiB live, 9.8MiB 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	3	(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.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	(pow.f64 x #s(literal 3/4 binary64))
cost-diff	0	(*.f64 #s(literal 4 binary64) x)
cost-diff	0	(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	96
0	38	96
1	45	96
2	57	93
3	67	93
4	76	93
5	79	93
0	79	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize78.0ms (0.5%)

Memory

10.0MiB live, 135.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.28125	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
accuracy	0.4990425293053261	(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.010097509768442016	(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	44.85721886595998	(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.01171875	(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
accuracy	13.954924944489976	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy	30.477126939110537	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0.0	(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
accuracy	0.0	(*.f64 #s(literal 4 binary64) x)
accuracy	0.00390625	(pow.f64 x #s(literal 3/4 binary64))
accuracy	0.29134750976844204	(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))

Samples

62.0ms

256×

valid

Compiler

Compiled 98 to 24 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-pow: 20.0ms (43.3% of total)

ival-sqrt: 14.0ms (30.3% of total)

ival-mult: 9.0ms (19.5% of total)

ival-pow2: 2.0ms (4.3% of total)

exact: 1.0ms (2.2% of total)

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

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

series289.0ms (1.9%)

Memory

13.5MiB live, 168.2MiB allocated

Counts

16 → 19

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
158.0ms	x	@	-inf	((* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (sqrt (pow x 4)))) (* 2 (sqrt (pow x 4))) (sqrt (pow x 4)) (pow x 4) (pow (* 4 (pow x 4)) 1/4) (* 4 (pow x 4)) (pow (* (pow 4 1/8) (sqrt x)) 2) (* (pow 4 1/8) (sqrt x)) (pow 4 1/8) (sqrt x))
85.0ms	x	@	0	((* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (sqrt (pow x 4)))) (* 2 (sqrt (pow x 4))) (sqrt (pow x 4)) (pow x 4) (pow (* 4 (pow x 4)) 1/4) (* 4 (pow x 4)) (pow (* (pow 4 1/8) (sqrt x)) 2) (* (pow 4 1/8) (sqrt x)) (pow 4 1/8) (sqrt x))
45.0ms	x	@	inf	((* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (sqrt (pow x 4)))) (* 2 (sqrt (pow x 4))) (sqrt (pow x 4)) (pow x 4) (pow (* 4 (pow x 4)) 1/4) (* 4 (pow x 4)) (pow (* (pow 4 1/8) (sqrt x)) 2) (* (pow 4 1/8) (sqrt x)) (pow 4 1/8) (sqrt x))

Time

Variable

Point

Expression

158.0ms

-inf

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

85.0ms

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

45.0ms

inf

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

simplify8.8s (56.4%)

Memory

-11.1MiB live, 62.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	94
1	139	94
2	338	91
3	602	85
4	1572	85
5	2823	85
6	4887	85
7	6667	85
8	7906	85
0	8014	85

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

rewrite1.9s (12.5%)

Memory

61.4MiB live, 211.5MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	77
0	38	85
1	97	85
2	288	60
3	1265	59
4	5382	59
0	8040	59

Stop Event

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

Counts

16 → 1 286

Calls

Call 1

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

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

eval149.0ms (1%)

Memory: -37.5MiB live, 190.5MiB allocated
Compiler: Compiled 10 854 to 2 279 computations (79% saved)

prune29.0ms (0.2%)

Memory

-29.0MiB live, 35.1MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	758	2	760
Fresh	1	2	3
Picked	2	3	5
Done	0	1	1
Total	761	8	769

Accuracy

100.0%

Counts

769 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.5%	(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
▶	99.0%	(.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 #s(literal 2 binary64)) x)
▶	52.3%	(sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	52.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
✓	29.8%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 60 to 51 computations (15% saved)

simplify4.0ms (0%)

Memory

4.3MiB live, 4.3MiB 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	2	(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff	7	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.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))
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	90
0	35	83
1	44	79
2	59	79
3	62	79
0	62	79

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize59.0ms (0.4%)

Memory

-0.9MiB live, 113.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
accuracy	0.375	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
accuracy	1.0	(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.10546875	(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy	0.375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0.5029487793053261	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.30078125	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
accuracy	0.0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.19140625	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	30.477126939110537	(sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))

Samples

45.0ms

256×

valid

Compiler

Compiled 92 to 22 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 12.0ms (35.8% of total)

ival-pow: 11.0ms (32.8% of total)

ival-sqrt: 8.0ms (23.8% of total)

ival-pow2: 2.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series45.0ms (0.3%)

Memory

14.9MiB live, 95.3MiB allocated

Counts

15 → 18

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

22.0ms

((sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (sqrt x) 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt (* (sqrt 2) x)) (sqrt (* (sqrt 2) x))) (sqrt (* (sqrt 2) x)) (* (sqrt 2) x) (sqrt 2) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32))

14.0ms

-inf

((sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (sqrt x) 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt (* (sqrt 2) x)) (sqrt (* (sqrt 2) x))) (sqrt (* (sqrt 2) x)) (* (sqrt 2) x) (sqrt 2) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32))

8.0ms

inf

((sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (sqrt x) 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt (* (sqrt 2) x)) (sqrt (* (sqrt 2) x))) (sqrt (* (sqrt 2) x)) (* (sqrt 2) x) (sqrt 2) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32))

simplify150.0ms (1%)

Memory

-22.7MiB live, 53.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	96
1	97	88
2	300	87
3	554	87
4	1325	87
5	2586	87
6	3534	87
7	3659	87
8	3700	87
9	3725	87
10	3734	87
11	3882	87
12	3942	87
13	3942	87
14	3942	87
15	4296	87
16	4741	87
17	4757	87
0	4757	87

Stop Event

1×	iter limit
1×	saturated

Counts

18 → 18

Calls

Call 1

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

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

rewrite150.0ms (1%)

Memory

6.2MiB live, 163.4MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	77
0	35	78
1	85	63
2	273	55
3	1260	49
4	7117	49
0	8127	49

Stop Event

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

Counts

15 → 537

Calls

Call 1

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

eval64.0ms (0.4%)

Memory: 4.4MiB live, 85.3MiB allocated
Compiler: Compiled 5 637 to 1 066 computations (81.1% saved)

prune13.0ms (0.1%)

Memory

-8.7MiB live, 30.1MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	436	7	443
Fresh	0	0	0
Picked	1	3	4
Done	1	3	4
Total	438	13	451

Accuracy

100.0%

Counts

451 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.5%	(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
	68.0%	(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 x))))
	68.0%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
▶	99.2%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 x))
▶	99.1%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.0%	(.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 #s(literal 2 binary64)) x)
▶	20.3%	(*.f64 x #s(literal 1 binary64))
▶	52.2%	(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (sqrt.f64 x)))
▶	52.2%	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	52.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 202 to 148 computations (26.7% saved)

simplify8.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (sqrt.f64 x)))
cost-diff	4	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (sqrt.f64 x))
cost-diff	9	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) x)
cost-diff	0	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
cost-diff	4	(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	4	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff	2	(*.f64 x #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
cost-diff	0	(.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) (pow.f64 x #s(literal 1/4 binary64)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 x))
cost-diff	2	(.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	181
0	46	142
1	76	142
2	119	122
3	143	122
4	192	122
5	212	122
6	215	122
0	215	122

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (0.5%)

Memory

3.7MiB live, 129.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.19140625	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (sqrt.f64 x))
accuracy	0.336601269536884	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
accuracy	20.858569529843557	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
accuracy	30.477126939110537	(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.18359375	(*.f64 (sqrt.f64 x) x)
accuracy	0.19140625	(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	30.477126939110537	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.30078125	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
accuracy	0.5058975586106522	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.0	(*.f64 x #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.1484375	(sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
accuracy	0.30078125	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 x))
accuracy	0.38900375976844204	(.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) (pow.f64 x #s(literal 1/4 binary64)))

Samples

53.0ms

256×

valid

Compiler

Compiled 183 to 27 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 20.0ms (51% of total)

ival-sqrt: 13.0ms (33.1% of total)

ival-pow: 5.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series94.0ms (0.6%)

Memory

-21.6MiB live, 96.4MiB allocated

Counts

16 → 23

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

60.0ms

-inf

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

19.0ms

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

16.0ms

inf

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

simplify834.0ms (5.4%)

Memory

42.8MiB live, 116.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	141
1	156	135
2	508	133
3	1114	133
4	1723	133
5	3293	133
6	4144	133
7	4355	133
8	4403	133
9	4434	133
10	4450	133
11	4640	133
12	4780	133
13	4876	133
14	4933	133
15	4984	133
16	5015	133
17	5026	133
18	5029	133
19	5032	133
20	5035	133
21	5814	133
22	6149	133
23	6152	133
24	6155	133
25	6158	133
26	6161	133
27	6164	133
28	6167	133
29	6170	133
30	6173	133
31	6176	133
32	6179	133
33	6182	133
34	6185	133
35	6188	133
36	6191	133
37	6194	133
38	6197	133
39	6200	133
40	6203	133
41	6206	133
42	6209	133
43	6212	133
44	6215	133
45	6218	133
46	6221	133
47	6224	133
48	6227	133
49	6230	133
50	6233	133
51	6236	133
52	6239	133
53	6242	133
54	6245	133
55	6248	133
56	6251	133
57	6254	133
58	6257	133
59	6260	133
60	6263	133
61	6266	133
62	6269	133
63	6272	133
64	6275	133
65	6278	133
66	6281	133
67	6284	133
68	6287	133
69	6290	133
70	6293	133
71	6296	133
72	6299	133
73	6302	133
74	6305	133
75	6308	133
76	6311	133
77	6314	133
78	6317	133
0	8002	133

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

Outputs
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
x
(sqrt x)
(sqrt.f64 x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* (sqrt (pow x 3)) (pow (sqrt 2) 2))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* (pow x 2) (pow (sqrt 2) 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -1)) (sqrt (sqrt -4)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 293/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(* -1 (* (pow -1 1/4) (* (sqrt (* x (sqrt -4))) (sqrt -1))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 293/4 binary64)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -4)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -4 binary64))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* (sqrt (pow x 3)) (* (pow (sqrt -2) 2) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* (pow x 2) (* (pow (sqrt -2) 2) (pow (sqrt -1) 2)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64)))

rewrite183.0ms (1.2%)

Memory

-2.4MiB live, 185.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	139
0	46	114
1	107	85
2	339	61
3	1797	61
4	7127	61
0	8671	61

Stop Event

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

Counts

16 → 827

Calls

Call 1

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

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

eval114.0ms (0.7%)

Memory: 7.8MiB live, 210.9MiB allocated
Compiler: Compiled 12 552 to 2 395 computations (80.9% saved)

prune21.0ms (0.1%)

Memory

-20.7MiB live, 54.4MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	771	2	773
Fresh	0	2	2
Picked	2	3	5
Done	0	6	6
Total	773	13	786

Accuracy

100.0%

Counts

786 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.5%	(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
	68.0%	(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 x))))
	68.0%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
	99.2%	(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 x))
✓	99.1%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.0%	(.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 #s(literal 2 binary64)) x)
✓	52.2%	(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (sqrt.f64 x)))
✓	52.2%	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	52.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
	20.3%	x

Compiler

Compiled 295 to 157 computations (46.8% saved)

regimes26.0ms (0.2%)

Memory

9.2MiB live, 47.1MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
6.0ms	x
5.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
5.0ms	(*.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)

regimes25.0ms (0.2%)

Memory

-4.0MiB live, 41.4MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
5.0ms	x
5.0ms	(*.f64 x x)
5.0ms	(.f64 #s(literal 2 binary64) (.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)

regimes7.0ms (0%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 15 to 12 computations (20% saved)

regimes8.0ms (0%)

Memory

-27.7MiB live, 10.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

4.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
1.0ms	x
1.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
1.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 15 to 12 computations (20% saved)

simplify8.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	21

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (8%)

Memory

-6.2MiB live, 344.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	139
0	46	114
1	107	85
2	339	61
3	1797	61
4	7127	61
0	8671	61
0	22	77
0	38	85
1	97	85
2	288	60
3	1265	59
4	5382	59
0	8040	59
0	5	14
0	8	14
1	17	13
2	46	12
3	123	12
4	580	12
5	3914	12
0	8179	12
0	20	77
0	35	78
1	85	63
2	273	55
3	1260	49
4	7117	49
0	8127	49

Stop Event

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

Compiler

Compiled 82 to 60 computations (26.8% saved)

preprocess25.0ms (0.2%)

Memory: 29.1MiB live, 29.1MiB allocated
Compiler: Compiled 72 to 56 computations (22.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	25	181
0	46	142
1	76	142
2	119	122
3	143	122
4	192	122
5	212	122
6	215	122
0	215	122

Iter	Nodes	Cost
0	25	181
0	46	142
1	76	142
2	119	122
3	143	122
4	192	122
5	212	122
6	215	122
0	215	122

start0.0ms (0%)

analyze0.0ms (0%)

sample810.0ms (5.2%)

explain71.0ms (0.5%)

preprocess14.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize26.0ms (0.2%)

series3.0ms (0%)

simplify4.0ms (0%)

rewrite151.0ms (1%)

eval44.0ms (0.3%)

prune10.0ms (0.1%)

simplify5.0ms (0%)

localize78.0ms (0.5%)

series289.0ms (1.9%)

simplify8.8s (56.4%)

rewrite1.9s (12.5%)

eval149.0ms (1%)

prune29.0ms (0.2%)

simplify4.0ms (0%)

localize59.0ms (0.4%)

series45.0ms (0.3%)

simplify150.0ms (1%)

rewrite150.0ms (1%)

eval64.0ms (0.4%)

prune13.0ms (0.1%)

simplify8.0ms (0%)

localize75.0ms (0.5%)

series94.0ms (0.6%)

simplify834.0ms (5.4%)

rewrite183.0ms (1.2%)

eval114.0ms (0.7%)

prune21.0ms (0.1%)

regimes26.0ms (0.2%)

regimes25.0ms (0.2%)

regimes7.0ms (0%)

regimes8.0ms (0%)

simplify8.0ms (0.1%)

soundness1.2s (8%)

preprocess25.0ms (0.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	25	181
0	46	142
1	76	142
2	119	122
3	143	122
4	192	122
5	212	122
6	215	122
0	215	122