Metrics for sqrt C (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample762.0ms (2.9%)

Memory

9.0MiB live, 788.4MiB allocated

Samples

561.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-mult: 141.0ms (64.1% of total)

ival-sqrt: 65.0ms (29.5% of total)

ival-true: 6.0ms (2.7% of total)

exact: 5.0ms (2.3% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain62.0ms (0.2%)

Memory

6.3MiB live, 44.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
132	-	2	(6.22434584839005e-156)	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 x x))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	oflow-rescue	68	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	overflow	68
↳	`(*.f64 x x)`	overflow	68
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	uflow-rescue	62	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	underflow	62
↳	`(*.f64 x x)`	underflow	62

Confusion

	Predicted +	Predicted -
+	130	2
-	0	124

Precision

1.0

Recall

0.9848484848484849

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	2
-	0	0	124

Precision?

1.0

Recall?

0.9848484848484849

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

22.0ms

512×

valid

Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions

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

ival-mult: 7.0ms (62.2% of total)

ival-sqrt: 3.0ms (26.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess18.0ms (0.1%)

Memory

-30.6MiB live, 17.1MiB 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)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

simplify3.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (.f64 x x))
accuracy	30.45718820598807	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Samples

11.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

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

ival-mult: 3.0ms (55% of total)

ival-sqrt: 2.0ms (36.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 4

Calls

Call 1

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

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

rewrite141.0ms (0.5%)

Memory

8.4MiB live, 198.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	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)))

eval33.0ms (0.1%)

Memory: 10.9MiB live, 82.4MiB allocated
Compiler: Compiled 2 959 to 751 computations (74.6% saved)

prune79.0ms (0.3%)

Memory

-40.5MiB live, 53.0MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	220	10	230
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	220	11	231

Accuracy

100.0%

Counts

231 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.3%	(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
▶	99.6%	(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
▶	99.4%	(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	99.4%	(.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
	99.3%	(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
	99.3%	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	52.2%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	52.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
▶	30.3%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 176 to 153 computations (13.1% saved)

simplify4.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 x #s(literal 7/8 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #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: 0 (0.0ms)

Iter	Nodes	Cost
0	23	104
0	40	104
1	47	104
0	47	104

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)
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(pow.f64 x #s(literal 7/8 binary64))
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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#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)
(.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 (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 7/8 binary64)))
(pow.f64 x #s(literal 7/8 binary64))
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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)

localize85.0ms (0.3%)

Memory

-2.2MiB live, 155.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 1/4 binary64))
accuracy	0.0	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	0.13671875	(sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	0.3756637695368841	(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.006191259768442017	(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	44.60365978712361	(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	0.00390625	(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
accuracy	13.801041907887459	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy	30.45718820598807	(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	0.45703125	(*.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	(pow.f64 x #s(literal 3/4 binary64))
accuracy	0.0	(*.f64 #s(literal 4 binary64) x)
accuracy	0.265625	(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))

Samples

67.0ms

256×

valid

Compiler

Compiled 210 to 48 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-pow: 33.0ms (62.4% of total)

ival-mult: 13.0ms (24.6% of total)

ival-sqrt: 6.0ms (11.3% of total)

exact: 1.0ms (1.9% of total)

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

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

series385.0ms (1.4%)

Memory

46.9MiB live, 390.2MiB allocated

Counts

17 → 23

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)))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))

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 (* 1 (pow x 7)) 1/8)
(* (pow (* 1 x) 1/8) (sqrt 2))
(* 2 (pow (* 1 x) 1/4))
(pow (* 1 x) 1/4)
(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 -1 1/4) (* x (sqrt 2))))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
140.0ms	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 x 7/8) (sqrt (* (pow x 1/4) 2))) (pow x 7/8) (sqrt (* (pow x 1/4) 2)) (* (pow x 1/4) 2) (pow x 1/4))
140.0ms	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 x 7/8) (sqrt (* (pow x 1/4) 2))) (pow x 7/8) (sqrt (* (pow x 1/4) 2)) (* (pow x 1/4) 2) (pow x 1/4))
105.0ms	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 x 7/8) (sqrt (* (pow x 1/4) 2))) (pow x 7/8) (sqrt (* (pow x 1/4) 2)) (* (pow x 1/4) 2) (pow x 1/4))

Time

Variable

Point

Expression

140.0ms

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 x 7/8) (sqrt (* (pow x 1/4) 2))) (pow x 7/8) (sqrt (* (pow x 1/4) 2)) (* (pow x 1/4) 2) (pow x 1/4))

140.0ms

((* (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 x 7/8) (sqrt (* (pow x 1/4) 2))) (pow x 7/8) (sqrt (* (pow x 1/4) 2)) (* (pow x 1/4) 2) (pow x 1/4))

105.0ms

-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 x 7/8) (sqrt (* (pow x 1/4) 2))) (pow x 7/8) (sqrt (* (pow x 1/4) 2)) (* (pow x 1/4) 2) (pow x 1/4))

simplify175.0ms (0.7%)

Memory

-8.6MiB live, 126.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	71	127
1	170	127
2	380	120
3	642	114
4	874	113
5	1150	113
6	1877	113
7	3552	113
8	6074	113
9	7731	112
0	8011	112

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

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 (* 1 (pow x 7)) 1/8)
(* (pow (* 1 x) 1/8) (sqrt 2))
(* 2 (pow (* 1 x) 1/4))
(pow (* 1 x) 1/4)
(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 -1 1/4) (* x (sqrt 2))))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))

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 x x) #s(literal 2 binary64))
(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 (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(* (pow (* 1 x) 1/8) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow (* 1 x) 1/4))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #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))
(* -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 -1 1/4) (* x (sqrt 2))))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 21/4 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 7 binary64))) #s(literal 1/8 binary64))
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/4 binary64))

rewrite174.0ms (0.7%)

Memory

-9.1MiB live, 190.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	85
0	40	91
1	94	91
2	271	66
3	1133	65
4	4777	65
0	8102	65

Stop Event

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

Counts

17 → 978

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)))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))

Outputs
(.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))))) (sqrt.f64 x))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (sqrt.f64 x))
(.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 (.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))))
(.f64 (.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/32 binary64))) (pow.f64 x #s(literal 7/32 binary64))) (.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/32 binary64))) (pow.f64 x #s(literal 7/32 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 7/32 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/32 binary64)))) (.f64 (pow.f64 x #s(literal 7/32 binary64)) (.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/32 binary64)))))
(.f64 (.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/16 binary64)))) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/16 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 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/8 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 (.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 3/32 binary64)) (pow.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/32 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x))
(.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 (.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/8 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 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 9/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 7/32 binary64))) (pow.f64 x #s(literal 7/32 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (sqrt.f64 x)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/16 binary64))) (.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/16 binary64))))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 9/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 7/16 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #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 1/4 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 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/32 binary64)) (pow.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 3/32 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64))))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(.f64 (pow.f64 x #s(literal 7/32 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 9/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 7/32 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 (sqrt.f64 x) (exp.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))))))
(.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) x))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (sqrt.f64 x)))
(.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)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/8 binary64))))
(.f64 (pow.f64 x #s(literal 7/16 binary64)) (.f64 (pow.f64 x #s(literal 9/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) x))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (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)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.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 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 (fma.f64 (pow.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/16 binary64) (neg.f64 (.f64 #s(literal 9/16 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 #s(literal -3/4 binary64) (log.f64 x))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (.f64 #s(literal 9/16 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 3/4 binary64) (.f64 #s(literal -1/4 binary64) (log.f64 (.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 (pow.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/64 binary64) (.f64 #s(literal 27/64 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 3/4 binary64)) (fma.f64 (log.f64 x) #s(literal 3/4 binary64) (.f64 #s(literal -1/4 binary64) (log.f64 (.f64 x #s(literal 4 binary64))))) (pow.f64 (log.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 (pow.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/64 binary64) (.f64 #s(literal 27/64 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (log.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (fma.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 #s(literal -3/4 binary64) (log.f64 x))) (.f64 #s(literal 9/16 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64)))) (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 16 binary64)))) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 1/4 binary64))) (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/32 binary64))) (pow.f64 x #s(literal 7/32 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 7/32 binary64)) (.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/32 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/16 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (fma.f64 #s(literal 8 binary64) (log.f64 x) (log.f64 #s(literal 16 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 16 binary64)) (log.f64 (sqrt.f64 x))))
(pow.f64 (pow.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/16 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/16 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/16 binary64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/32 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/8 binary64))
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(fabs.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 1/32 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))

eval192.0ms (0.7%)

Memory: -5.9MiB live, 151.2MiB allocated
Compiler: Compiled 8 955 to 2 119 computations (76.3% saved)

prune6.5s (24.4%)

Memory

3.8MiB live, 41.9MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	660	4	664
Fresh	3	2	5
Picked	3	2	5
Done	0	1	1
Total	666	9	675

Accuracy

100.0%

Counts

675 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64)) x)
▶	99.4%	(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
	99.2%	(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	99.6%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
▶	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	52.2%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	52.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
✓	30.3%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 117 to 108 computations (7.7% saved)

simplify5.0ms (0%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64)) x)
cost-diff	6464	(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 x #s(literal 7/8 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	117
0	45	117
1	54	113
2	61	113
3	62	113
0	62	113

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
x
#s(literal 2 binary64)
(pow.f64 x #s(literal 3/4 binary64))
#s(literal 3/4 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)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
#s(literal 2 binary64)
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 x)
x
#s(literal 4 binary64)
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(pow.f64 x #s(literal 7/8 binary64))
x
#s(literal 7/8 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 2 binary64)
(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
#s(literal 16 binary64)
#s(literal 1/16 binary64)
#s(literal 2 binary64)
x

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

localize1.6s (6.1%)

Memory

18.2MiB live, 143.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
accuracy	0.45703125	(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64)) x)
accuracy	1.0	(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.11328125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.13671875	(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
accuracy	0.3756637695368841	(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.00390625	(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
accuracy	0.4031602539794926	(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
accuracy	30.45718820598807	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.340507519536884	(.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	0.09375	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	0.265625	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))

Samples

1.6s

256×

valid

Compiler

Compiled 236 to 54 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-sqrt: 1.5s (97% of total)

ival-pow2: 18.0ms (1.1% of total)

ival-pow: 16.0ms (1% of total)

ival-mult: 12.0ms (0.8% of total)

exact: 1.0ms (0.1% of total)

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

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

series369.0ms (1.4%)

Memory

-43.7MiB live, 194.4MiB allocated

Counts

18 → 27

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(pow.f64 x #s(literal 7/8 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64)) x)
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
(sqrt.f64 (sqrt.f64 x))

Outputs
(* x (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* 2 (sqrt x))
(sqrt x)
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 (pow x 2))
(pow x 2)
(pow (* 1 (pow x 7)) 1/8)
(* (pow (* 1 x) 1/8) (sqrt 2))
(* 2 (pow (* 1 x) 1/4))
(* (pow 16 1/8) x)
(pow (* 1 x) 1/4)
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(* (pow x 2) (pow (sqrt -1) 4))
(* -1 (* (pow -1 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (* x (sqrt 2)))))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))
(* 2 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))

Calls

3 calls:

Time

Variable

Point

Expression

140.0ms

inf

((* (sqrt (* (sqrt x) 2)) (pow x 3/4)) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (sqrt x) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow x 7/8) (sqrt (* (sqrt (sqrt x)) 2))) (pow x 7/8) (sqrt (* (sqrt (sqrt x)) 2)) (* (sqrt (sqrt x)) 2) (pow (pow 16 1/16) 2) (* (pow (pow 16 1/16) 2) x) (pow 16 1/16) (sqrt (sqrt x)))

138.0ms

-inf

((* (sqrt (* (sqrt x) 2)) (pow x 3/4)) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (sqrt x) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow x 7/8) (sqrt (* (sqrt (sqrt x)) 2))) (pow x 7/8) (sqrt (* (sqrt (sqrt x)) 2)) (* (sqrt (sqrt x)) 2) (pow (pow 16 1/16) 2) (* (pow (pow 16 1/16) 2) x) (pow 16 1/16) (sqrt (sqrt x)))

90.0ms

((* (sqrt (* (sqrt x) 2)) (pow x 3/4)) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (sqrt x) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow x 7/8) (sqrt (* (sqrt (sqrt x)) 2))) (pow x 7/8) (sqrt (* (sqrt (sqrt x)) 2)) (* (sqrt (sqrt x)) 2) (pow (pow 16 1/16) 2) (* (pow (pow 16 1/16) 2) x) (pow 16 1/16) (sqrt (sqrt x)))

simplify147.0ms (0.6%)

Memory

27.0MiB live, 102.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	74	171
1	169	171
2	492	166
3	1188	166
4	1893	165
5	3633	165
6	4632	165
7	5134	165
8	5872	165
9	5966	165
10	6011	165
11	6697	165
12	7086	164
13	7790	164
0	8032	164

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

Inputs
(* x (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* 2 (sqrt x))
(sqrt x)
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 (pow x 2))
(pow x 2)
(pow (* 1 (pow x 7)) 1/8)
(* (pow (* 1 x) 1/8) (sqrt 2))
(* 2 (pow (* 1 x) 1/4))
(* (pow 16 1/8) x)
(pow (* 1 x) 1/4)
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(* (pow x 2) (pow (sqrt -1) 4))
(* -1 (* (pow -1 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (* x (sqrt 2)))))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))
(* 2 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))

Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt x)
(sqrt.f64 x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(* (pow (* 1 x) 1/8) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow (* 1 x) 1/4))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* (pow 16 1/8) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 29/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (pow (sqrt -1) 4))
(*.f64 x x)
(* -1 (* (pow -1 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (* x (sqrt 2)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 57/8 binary64)) (.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) x) (sqrt.f64 #s(literal 2 binary64))))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 7 binary64))) #s(literal 1/8 binary64))
(* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/8 binary64)))
(* 2 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))

rewrite148.0ms (0.6%)

Memory

5.7MiB live, 163.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	93
0	45	90
1	107	90
2	279	70
3	904	64
4	5580	64
0	8105	64

Stop Event

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

Counts

18 → 791

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(pow.f64 x #s(literal 7/8 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64)) x)
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
(sqrt.f64 (sqrt.f64 x))

Outputs
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) x)
(*.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 (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/32 binary64))) (pow.f64 x #s(literal 3/32 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))) (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 21/32 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 7/64 binary64))) (pow.f64 x #s(literal 7/64 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/16 binary64)) (.f64 (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/32 binary64)))) (.f64 (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/32 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 9/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))) (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 5/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 21/32 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 7/32 binary64)))
(.f64 (pow.f64 x #s(literal 9/16 binary64)) (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(.f64 (pow.f64 x #s(literal 9/16 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 7/16 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 7/16 binary64))) (pow.f64 x #s(literal 9/16 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/32 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 21/32 binary64)))
(.f64 (pow.f64 x #s(literal 21/32 binary64)) (.f64 (pow.f64 x #s(literal 7/32 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/16 binary64))) (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/16 binary64))))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/32 binary64))) (.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/32 binary64))) (pow.f64 x #s(literal 7/16 binary64))))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/8 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(.f64 (pow.f64 x #s(literal 3/32 binary64)) (.f64 (pow.f64 x #s(literal 3/32 binary64)) (.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 x #s(literal 7/64 binary64)) (.f64 (pow.f64 x #s(literal 7/64 binary64)) (.f64 (pow.f64 x #s(literal 21/32 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(.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 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 9/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 7/16 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 7/32 binary64)) (.f64 (pow.f64 x #s(literal 21/32 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 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 #s(literal 2 binary64) x))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.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 x #s(literal 7/16 binary64)) (.f64 (pow.f64 x #s(literal 9/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 7/8 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 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.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 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(*.f64 x (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/16 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 7/16 binary64) (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 7/16 binary64) (log.f64 x) (log.f64 (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/16 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (log.f64 x))) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 7/16 binary64) (log.f64 x))) (.f64 #s(literal 7/16 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 7/16 binary64) (log.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 7/16 binary64) (log.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 7/8 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 (log.f64 x) #s(literal 3/4 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))) (pow.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))))
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(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))

eval131.0ms (0.5%)

Memory: -19.1MiB live, 173.5MiB allocated
Compiler: Compiled 9 100 to 2 042 computations (77.6% saved)

prune41.0ms (0.2%)

Memory

-14.9MiB live, 34.6MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	668	4	672
Fresh	1	0	1
Picked	0	5	5
Done	0	3	3
Total	669	12	681

Accuracy

100.0%

Counts

681 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))
✓	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64)) x)
✓	99.4%	(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
▶	99.2%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
✓	99.6%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
▶	52.3%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	20.3%	(*.f64 x #s(literal 1 binary64))
✓	52.2%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	52.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
✓	30.3%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 91 to 79 computations (13.2% saved)

simplify6.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))
cost-diff	12288	(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff	1600	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	0	(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
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))) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
cost-diff	320	(*.f64 x #s(literal 1 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	97
0	34	85
1	47	77
2	64	77
3	80	77
4	92	77
5	110	77
6	110	77
7	120	77
8	120	77
0	120	77

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize68.0ms (0.3%)

Memory

19.6MiB live, 89.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.340507519536884	(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))
accuracy	0.4834175293053261	(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.340507519536884	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
accuracy	0.4609375	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.340507519536884	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
accuracy	31.316683392968503	(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
accuracy	0.0	(*.f64 x #s(literal 1 binary64))

Samples

48.0ms

256×

valid

Compiler

Compiled 196 to 40 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 17.0ms (46.7% of total)

ival-pow: 11.0ms (30.2% of total)

ival-sqrt: 5.0ms (13.7% of total)

ival-pow2: 3.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

series123.0ms (0.5%)

Memory

23.0MiB live, 218.3MiB allocated

Counts

14 → 18

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

69.0ms

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

32.0ms

-inf

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

22.0ms

inf

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

simplify134.0ms (0.5%)

Memory

-27.5MiB live, 93.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	89
1	134	89
2	370	86
3	688	80
4	1529	80
5	2574	80
6	3915	80
7	4987	80
8	5814	80
9	6054	80
10	6116	80
11	6857	80
12	7471	80
0	8068	80

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 17

Calls

Call 1

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

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

rewrite31.0ms (0.1%)

Memory

1.3MiB live, 39.6MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	34	22
1	86	22
2	261	22
3	1169	14
0	8327	14

Stop Event

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

Counts

14 → 24

Calls

Call 1

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

Outputs
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1 binary64)

eval2.0ms (0%)

Memory: 5.6MiB live, 5.6MiB allocated
Compiler: Compiled 275 to 86 computations (68.7% saved)

prune8.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	1	3	4
Done	0	8	8
Total	19	13	32

Accuracy

100.0%

Counts

32 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))
✓	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64)) x)
✓	99.4%	(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
✓	99.2%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
✓	99.6%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
✓	52.3%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	52.2%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	52.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
✓	30.3%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
	20.3%	x
	5.6%	#s(literal 1 binary64)

Compiler

Compiled 253 to 152 computations (39.9% saved)

regimes34.0ms (0.1%)

Memory

5.2MiB live, 47.2MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
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 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 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 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 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)))
(.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 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))
(.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 5/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))

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

Calls

4 calls:

16.0ms	(*.f64 x x)
6.0ms	x
6.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
6.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Results

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

Compiler

Compiled 15 to 12 computations (20% saved)

regimes20.0ms (0.1%)

Memory

-8.7MiB live, 29.3MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
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 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 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 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 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 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))

Calls

4 calls:

6.0ms	(*.f64 x x)
5.0ms	x
4.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
4.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Results

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

Compiler

Compiled 15 to 12 computations (20% saved)

regimes15.0ms (0.1%)

Memory

-20.8MiB live, 17.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
3.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
3.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
3.0ms	(*.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)

regimes9.0ms (0%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 15 to 12 computations (20% saved)

regimes7.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

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

regimes6.0ms (0%)

Memory

-30.5MiB live, 7.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

4 calls:

2.0ms	(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
5.6%	1	`x`
5.6%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
5.6%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
5.6%	1	`(*.f64 x x)`

Compiler

Compiled 15 to 12 computations (20% saved)

simplify8.0ms (0%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	31
1	21	31

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

soundness15.0s (56.3%)

Memory

-2.3MiB live, 427.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	85
0	40	91
1	94	91
2	271	66
3	1133	65
4	4777	65
0	8102	65
0	19	82
0	34	22
1	86	22
2	261	22
3	1169	14
0	8327	14
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	26	93
0	45	90
1	107	90
2	279	70
3	904	64
4	5580	64
0	8105	64

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 130 to 93 computations (28.5% saved)

preprocess47.0ms (0.2%)

Memory: 3.2MiB live, 40.6MiB allocated
Compiler: Compiled 92 to 64 computations (30.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	97
0	34	85
1	47	77
2	64	77
3	80	77
4	92	77
5	110	77
6	110	77
7	120	77
8	120	77
0	120	77

Iter	Nodes	Cost
0	19	97
0	34	85
1	47	77
2	64	77
3	80	77
4	92	77
5	110	77
6	110	77
7	120	77
8	120	77
0	120	77

start0.0ms (0%)

analyze0.0ms (0%)

sample762.0ms (2.9%)

explain62.0ms (0.2%)

preprocess18.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize16.0ms (0.1%)

series3.0ms (0%)

simplify4.0ms (0%)

rewrite141.0ms (0.5%)

eval33.0ms (0.1%)

prune79.0ms (0.3%)

simplify4.0ms (0%)

localize85.0ms (0.3%)

series385.0ms (1.4%)

simplify175.0ms (0.7%)

rewrite174.0ms (0.7%)

eval192.0ms (0.7%)

prune6.5s (24.4%)

simplify5.0ms (0%)

localize1.6s (6.1%)

series369.0ms (1.4%)

simplify147.0ms (0.6%)

rewrite148.0ms (0.6%)

eval131.0ms (0.5%)

prune41.0ms (0.2%)

simplify6.0ms (0%)

localize68.0ms (0.3%)

series123.0ms (0.5%)

simplify134.0ms (0.5%)

rewrite31.0ms (0.1%)

eval2.0ms (0%)

prune8.0ms (0%)

regimes34.0ms (0.1%)

regimes20.0ms (0.1%)

regimes15.0ms (0.1%)

regimes9.0ms (0%)

regimes7.0ms (0%)

regimes6.0ms (0%)

simplify8.0ms (0%)

soundness15.0s (56.3%)

preprocess47.0ms (0.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	97
0	34	85
1	47	77
2	64	77
3	80	77
4	92	77
5	110	77
6	110	77
7	120	77
8	120	77
0	120	77