Metrics for sqrt C (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample829.0ms (6.9%)

Memory

3.8MiB live, 761.8MiB allocated

Samples

602.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 440.0ms

ival-sqrt: 281.0ms (63.8% of total)

ival-mult: 145.0ms (32.9% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain58.0ms (0.5%)

Memory

8.6MiB live, 91.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
127	-	7	(-5.257724176086924e-157)	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 x x))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	oflow-rescue	71	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	overflow	71
↳	`(*.f64 x x)`	overflow	71
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	uflow-rescue	49	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	underflow	49
↳	`(*.f64 x x)`	underflow	49

Confusion

	Predicted +	Predicted -
+	120	7
-	0	129

Precision

1.0

Recall

0.9448818897637795

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	120	0	7
-	0	0	129

Precision?

1.0

Recall?

0.9448818897637795

Freqs

test

number	freq
0	136
1	120

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: 4.0ms (35.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess24.0ms (0.2%)

Memory

-18.1MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	21	13
2	63	13
3	141	13
4	207	13
5	224	13
6	226	13
0	5	6
0	8	6
1	11	6
2	14	6
0	14	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.1%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

4.9MiB live, 4.9MiB 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

localize36.0ms (0.3%)

Memory

-1.7MiB live, 37.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.01953125	(.f64 #s(literal 2 binary64) (.f64 x x))
accuracy	28.68303167180871	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Samples

31.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

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

ival-mult: 24.0ms (90.6% of total)

ival-sqrt: 2.0ms (7.6% 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

6.6MiB live, 6.6MiB allocated

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify4.0ms (0%)

Memory

4.7MiB live, 4.7MiB 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)))

rewrite178.0ms (1.5%)

Memory

8.5MiB live, 127.1MiB 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)))

eval32.0ms (0.3%)

Memory: -14.7MiB live, 58.6MiB allocated
Compiler: Compiled 2 959 to 751 computations (74.6% saved)

prune10.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB 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
▶	99.0%	(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
	99.2%	(.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))))
	99.2%	(.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)
	55.2%	(sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	54.9%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	55.1%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
	28.5%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 170 to 151 computations (11.2% saved)

simplify5.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	0	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
cost-diff	7104	(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	6784	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize98.0ms (0.8%)

Memory

-16.6MiB live, 102.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.26171875	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
accuracy	0.484375	(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
accuracy	0.0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy	0.23828125	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
accuracy	0.28125	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.01953125	(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
accuracy	0.4412652832848187	(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
accuracy	28.68303167180871	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.4609375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.3125	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Samples

83.0ms

256×

valid

Compiler

Compiled 184 to 38 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 19.0ms (50% of total)

ival-pow: 10.0ms (26.3% of total)

ival-sqrt: 7.0ms (18.4% of total)

ival-pow2: 2.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series77.0ms (0.6%)

Memory

-2.8MiB live, 118.7MiB allocated

Counts

14 → 17

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
53.0ms	x	@	0	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (pow (* (pow 4 1/8) (sqrt x)) 2) (* (pow 4 1/8) (sqrt x)))
14.0ms	x	@	-inf	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (pow (* (pow 4 1/8) (sqrt x)) 2) (* (pow 4 1/8) (sqrt x)))
8.0ms	x	@	inf	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (pow (* (pow 4 1/8) (sqrt x)) 2) (* (pow 4 1/8) (sqrt x)))

Time

Variable

Point

Expression

53.0ms

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

14.0ms

-inf

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

8.0ms

inf

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

simplify149.0ms (1.2%)

Memory

9.4MiB live, 81.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	80
1	90	80
2	289	80
3	609	80
4	1661	80
5	3292	80
6	4208	80
7	4338	80
8	4373	80
9	4387	80
10	4387	80
11	4427	80
12	4443	80
13	4443	80
14	4443	80
15	4852	80
16	5482	80
17	5522	80
0	5522	80

Stop Event

1×	iter limit
1×	saturated

Counts

17 → 17

Calls

Call 1

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

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

rewrite172.0ms (1.4%)

Memory

-2.5MiB live, 240.7MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Counts

14 → 950

Calls

Call 1

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

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

eval6.6s (54.9%)

Memory: 12.5MiB live, 128.6MiB allocated
Compiler: Compiled 10 299 to 2 046 computations (80.1% saved)

prune31.0ms (0.3%)

Memory

38.0MiB live, 59.8MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	777	6	783
Fresh	4	1	5
Picked	2	3	5
Done	0	1	1
Total	783	11	794

Accuracy

100.0%

Counts

794 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.3%	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
▶	99.3%	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
	99.2%	(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
▶	99.3%	(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 x))
▶	99.2%	(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
▶	99.0%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	55.2%	(sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	55.1%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 174 to 139 computations (20.1% saved)

simplify1.5s (12.6%)

Memory

-30.4MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff	0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
cost-diff	0	(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
cost-diff	0	(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 x))
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff	1600	(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff	2560	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x))
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	168
0	43	161
1	58	161
2	82	149
3	89	149
4	94	149
5	95	149
0	95	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 x)
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
x
#s(literal 2 binary64)
(sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
#s(literal 2 binary64)
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 x))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 x)

Outputs
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 x)
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 x #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
x
#s(literal 2 binary64)
(sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
#s(literal 2 binary64)
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 x))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 x)

localize108.0ms (0.9%)

Memory

-27.4MiB live, 92.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.125	(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy	0.3125	(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 x))
accuracy	0.328125	(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
accuracy	0.4609375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0.0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.1640625	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	28.68303167180871	(sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
accuracy	0.0	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.3125	(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
accuracy	0.47265625	(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.125	(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy	0.4609375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0.484375	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
accuracy	0.125	(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy	0.28125	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
accuracy	0.34603500976844204	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x))
accuracy	0.4609375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Samples

79.0ms

256×

valid

Compiler

Compiled 338 to 52 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 41.0ms (65% of total)

ival-pow: 13.0ms (20.6% of total)

ival-sqrt: 8.0ms (12.7% of total)

exact: 1.0ms (1.6% of total)

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

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

series216.0ms (1.8%)

Memory

10.6MiB live, 85.4MiB allocated

Counts

18 → 25

Calls

Call 1

Inputs
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 x))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(sqrt.f64 x)

Outputs
(* (pow 4 1/8) (* x (sqrt (sqrt 2))))
(* x (sqrt (sqrt 2)))
(sqrt (* x (sqrt 2)))
(* x (sqrt 2))
(* 2 x)
(* (sqrt x) (sqrt 2))
(* 2 (sqrt x))
(* 2 (pow x 2))
(sqrt (pow x 3))
(* (pow 256 1/32) (* x (sqrt (sqrt 2))))
(* (pow 256 1/32) (sqrt (* x (sqrt 2))))
(sqrt x)
(* -1 (* (pow 4 1/8) (* (* x (pow (sqrt -1) 2)) (sqrt (sqrt 2)))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (sqrt 2))))
(* -1 (* (sqrt (* x (sqrt 2))) (pow (sqrt -1) 2)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -2 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -1) (sqrt 2))))
(* 2 (* (pow x 2) (pow (sqrt -1) 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (pow 256 1/32) (* (* x (pow (sqrt -1) 2)) (sqrt (sqrt 2)))))
(* -1 (* (pow 256 1/32) (* (sqrt (* x (sqrt 2))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

109.0ms

((* (pow 4 1/8) (* (sqrt (* (sqrt 2) x)) (sqrt x))) (pow 4 1/8) (* (sqrt (* (sqrt 2) x)) (sqrt x)) (sqrt (* (sqrt 2) x)) (* (sqrt (* (sqrt 2) x)) (sqrt (* (sqrt 2) x))) (* (sqrt 2) x) (sqrt 2) (* (* (sqrt x) 2) (sqrt x)) (* (sqrt (* (* (sqrt x) 2) (sqrt x))) (sqrt x)) (sqrt (* (* (sqrt x) 2) (sqrt x))) (* (sqrt x) 2) (sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (* (pow 256 1/32) (sqrt (* (sqrt 2) x))) (sqrt x)) (* (pow 256 1/32) (sqrt (* (sqrt 2) x))) (pow 256 1/32) (sqrt x))

88.0ms

inf

((* (pow 4 1/8) (* (sqrt (* (sqrt 2) x)) (sqrt x))) (pow 4 1/8) (* (sqrt (* (sqrt 2) x)) (sqrt x)) (sqrt (* (sqrt 2) x)) (* (sqrt (* (sqrt 2) x)) (sqrt (* (sqrt 2) x))) (* (sqrt 2) x) (sqrt 2) (* (* (sqrt x) 2) (sqrt x)) (* (sqrt (* (* (sqrt x) 2) (sqrt x))) (sqrt x)) (sqrt (* (* (sqrt x) 2) (sqrt x))) (* (sqrt x) 2) (sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (* (pow 256 1/32) (sqrt (* (sqrt 2) x))) (sqrt x)) (* (pow 256 1/32) (sqrt (* (sqrt 2) x))) (pow 256 1/32) (sqrt x))

18.0ms

-inf

((* (pow 4 1/8) (* (sqrt (* (sqrt 2) x)) (sqrt x))) (pow 4 1/8) (* (sqrt (* (sqrt 2) x)) (sqrt x)) (sqrt (* (sqrt 2) x)) (* (sqrt (* (sqrt 2) x)) (sqrt (* (sqrt 2) x))) (* (sqrt 2) x) (sqrt 2) (* (* (sqrt x) 2) (sqrt x)) (* (sqrt (* (* (sqrt x) 2) (sqrt x))) (sqrt x)) (sqrt (* (* (sqrt x) 2) (sqrt x))) (* (sqrt x) 2) (sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (* (pow 256 1/32) (sqrt (* (sqrt 2) x))) (sqrt x)) (* (pow 256 1/32) (sqrt (* (sqrt 2) x))) (pow 256 1/32) (sqrt x))

simplify230.0ms (1.9%)

Memory

-5.4MiB live, 72.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	146
1	138	138
2	484	137
3	1019	137
4	1706	137
5	2656	137
6	3349	137
7	3489	137
8	3556	137
9	3581	137
10	3590	137
11	4416	137
12	4666	137
13	4666	137
14	4666	137
15	4666	137
16	4666	137
17	4666	137
18	5531	137
0	8485	137

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

Inputs
(* (pow 4 1/8) (* x (sqrt (sqrt 2))))
(* x (sqrt (sqrt 2)))
(sqrt (* x (sqrt 2)))
(* x (sqrt 2))
(* 2 x)
(* (sqrt x) (sqrt 2))
(* 2 (sqrt x))
(* 2 (pow x 2))
(sqrt (pow x 3))
(* (pow 256 1/32) (* x (sqrt (sqrt 2))))
(* (pow 256 1/32) (sqrt (* x (sqrt 2))))
(sqrt x)
(* -1 (* (pow 4 1/8) (* (* x (pow (sqrt -1) 2)) (sqrt (sqrt 2)))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (sqrt 2))))
(* -1 (* (sqrt (* x (sqrt 2))) (pow (sqrt -1) 2)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -2 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -1) (sqrt 2))))
(* 2 (* (pow x 2) (pow (sqrt -1) 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (pow 256 1/32) (* (* x (pow (sqrt -1) 2)) (sqrt (sqrt 2)))))
(* -1 (* (pow 256 1/32) (* (sqrt (* x (sqrt 2))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(* (pow 4 1/8) (* x (sqrt (sqrt 2))))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
(* x (sqrt (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(sqrt (* x (sqrt 2)))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* (pow 256 1/32) (* x (sqrt (sqrt 2))))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
(* (pow 256 1/32) (sqrt (* x (sqrt 2))))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(sqrt x)
(sqrt.f64 x)
(* -1 (* (pow 4 1/8) (* (* x (pow (sqrt -1) 2)) (sqrt (sqrt 2)))))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (sqrt 2))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(* -1 (* (sqrt (* x (sqrt 2))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -2 (* x (pow (sqrt -1) 2)))
(*.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 -1) (sqrt 2))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* 2 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow 256 1/32) (* (* x (pow (sqrt -1) 2)) (sqrt (sqrt 2)))))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
(* -1 (* (pow 256 1/32) (* (sqrt (* x (sqrt 2))) (pow (sqrt -1) 2))))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite233.0ms (1.9%)

Memory

-4.5MiB live, 263.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	121
0	43	84
1	99	81
2	306	67
3	1409	67
4	5136	67
0	8735	67

Stop Event

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

Counts

18 → 1 917

Calls

Call 1

Inputs
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 x))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(sqrt.f64 x)

Outputs
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 5/8 binary64) (log.f64 x) (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 x)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 x)))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 x)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 x)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 5/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 7/4 binary64) (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/2 binary64) (log.f64 (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 3 binary64)) x) #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 3/2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)) (log.f64 (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)) (log.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (log.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
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(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/128 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/128 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/128 binary64))))
(fabs.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal 1/128 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/256 binary64) (log.f64 #s(literal 65536 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 65536 binary64)) #s(literal 1/128 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/64 binary64) (log.f64 #s(literal 256 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/64 binary64) (log.f64 #s(literal 16 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/32 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/32 binary64))) (log.f64 #s(literal 256 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/8 binary64))) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 #s(literal 16 binary64)))) #s(literal 1/16 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 #s(literal 65536 binary64)))) #s(literal 1/64 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4294967296 binary64)) #s(literal 1/128 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/256 binary64) (log.f64 #s(literal 65536 binary64))) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/64 binary64) (log.f64 #s(literal 16 binary64))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/32 binary64))) (log.f64 #s(literal 256 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/8 binary64))) (log.f64 #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (pow.f64 x #s(literal 5/8 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))

eval204.0ms (1.7%)

Memory: 5.2MiB live, 438.2MiB allocated
Compiler: Compiled 27 614 to 3 631 computations (86.9% saved)

prune28.0ms (0.2%)

Memory

13.8MiB live, 100.3MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1 564	6	1 570
Fresh	1	1	2
Picked	3	2	5
Done	1	3	4
Total	1 569	12	1 581

Accuracy

100.0%

Counts

1 581 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(approx ( (sqrt (* (sqrt 2) x)) (sqrt x)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
	99.2%	(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
✓	99.2%	(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
▶	99.1%	(.f64 (sqrt.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x))
✓	99.0%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
▶	99.3%	(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	55.1%	(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (.f64 x #s(literal 2 binary64)))))
▶	55.1%	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	55.1%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
	99.2%	#s(approx (* (pow 4 1/8) (* (sqrt (* (sqrt 2) x)) (sqrt x))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x))

Compiler

Compiled 233 to 180 computations (22.7% saved)

simplify8.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
cost-diff	0	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	832	(.f64 (sqrt.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x))
cost-diff	1600	(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #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))) x)
cost-diff	192	(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (.f64 x #s(literal 2 binary64)))))
cost-diff	1920	(.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) x)
cost-diff	192	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
cost-diff	1600	(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
cost-diff	0	(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)
cost-diff	0	#s(approx (* (sqrt (* (sqrt 2) x)) (sqrt x)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(approx ( (sqrt (* (sqrt 2) x)) (sqrt x)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	192
0	56	179
1	79	179
2	108	159
3	119	159
4	154	156
5	173	156
6	182	156
7	228	156
8	237	156
0	237	156

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize92.0ms (0.8%)

Memory

8.4MiB live, 83.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.125	(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy	0.28125	(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
accuracy	0.34603500976844204	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x))
accuracy	0.4609375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.3125	(.f64 (sqrt.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x))
accuracy	0.3828125	(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.4609375	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.17578125	(.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
accuracy	0.1953125	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) x)
accuracy	28.68303167180871	(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (.f64 x #s(literal 2 binary64)))))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.1640625	(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	0.17578125	(*.f64 (sqrt.f64 x) x)
accuracy	28.68303167180871	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	#s(approx (* (sqrt (* (sqrt 2) x)) (sqrt x)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
accuracy	0.23828125	(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)
accuracy	0.28125	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(approx ( (sqrt (* (sqrt 2) x)) (sqrt x)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)))

Samples

72.0ms

256×

valid

Compiler

Compiled 374 to 63 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 40.0ms (70% of total)

ival-sqrt: 12.0ms (21% of total)

ival-pow: 4.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series43.0ms (0.4%)

Memory

-30.0MiB live, 48.0MiB allocated

Counts

22 → 23

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

18.0ms

-inf

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

15.0ms

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

9.0ms

inf

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

simplify447.0ms (3.7%)

Memory

10.4MiB live, 284.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	129
1	141	126
2	477	126
3	1074	126
4	1704	126
5	2943	126
6	3756	126
7	3947	126
8	3994	126
9	4024	126
10	4034	126
11	4179	126
12	4212	126
13	4216	126
14	4216	126
15	4216	126
16	4216	126
17	4868	126
18	5152	126
19	5152	126
20	5152	126
21	5152	126
22	5152	126
23	5152	126
24	6556	126
0	8008	126

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

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

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

rewrite163.0ms (1.4%)

Memory

13.3MiB live, 133.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	162
0	56	158
1	110	145
2	256	105
3	771	105
4	4771	105
0	8175	105

Stop Event

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

Counts

22 → 988

Calls

Call 1

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

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

eval126.0ms (1%)

Memory: 2.1MiB live, 155.8MiB allocated
Compiler: Compiled 12 238 to 2 233 computations (81.8% saved)

prune40.0ms (0.3%)

Memory

1.4MiB live, 40.5MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	726	1	727
Fresh	0	2	2
Picked	2	3	5
Done	1	4	5
Total	729	10	739

Accuracy

100.0%

Counts

739 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
✓	99.1%	(.f64 (sqrt.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x))
✓	99.0%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
	99.3%	(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(approx ( (sqrt (* (sqrt 2) x)) (sqrt x)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	55.1%	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	55.1%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
	99.2%	#s(approx (* (pow 4 1/8) (* (sqrt (* (sqrt 2) x)) (sqrt x))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x))

Compiler

Compiled 369 to 180 computations (51.2% saved)

regimes30.0ms (0.2%)

Memory

-10.9MiB live, 33.2MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(approx ( (sqrt (* (sqrt 2) x)) (sqrt x)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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))))
#s(approx (* (pow 4 1/8) (* (sqrt (* (sqrt 2) x)) (sqrt x))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x))
(sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(approx ( (sqrt (* (sqrt 2) x)) (sqrt x)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #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)))))

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

Calls

4 calls:

10.0ms	x
6.0ms	(*.f64 x x)
6.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
6.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))

Results

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

Compiler

Compiled 15 to 12 computations (20% saved)

regimes5.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Accuracy

Total -28.4b remaining (-6172.2%)

Threshold costs -28.4b (-6172.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	x
1.0ms	(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
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)

simplify8.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness190.0ms (1.6%)

Memory

-14.8MiB live, 95.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

preprocess18.0ms (0.1%)

Memory: 35.2MiB live, 35.2MiB allocated
Compiler: Compiled 48 to 38 computations (20.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	33	192
0	56	179
1	79	179
2	108	159
3	119	159
4	154	156
5	173	156
6	182	156
7	228	156
8	237	156
0	237	156

Iter	Nodes	Cost
0	33	192
0	56	179
1	79	179
2	108	159
3	119	159
4	154	156
5	173	156
6	182	156
7	228	156
8	237	156
0	237	156

start0.0ms (0%)

analyze0.0ms (0%)

sample829.0ms (6.9%)

explain58.0ms (0.5%)

preprocess24.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize36.0ms (0.3%)

series3.0ms (0%)

simplify4.0ms (0%)

rewrite178.0ms (1.5%)

eval32.0ms (0.3%)

prune10.0ms (0.1%)

simplify5.0ms (0%)

localize98.0ms (0.8%)

series77.0ms (0.6%)

simplify149.0ms (1.2%)

rewrite172.0ms (1.4%)

eval6.6s (54.9%)

prune31.0ms (0.3%)

simplify1.5s (12.6%)

localize108.0ms (0.9%)

series216.0ms (1.8%)

simplify230.0ms (1.9%)

rewrite233.0ms (1.9%)

eval204.0ms (1.7%)

prune28.0ms (0.2%)

simplify8.0ms (0.1%)

localize92.0ms (0.8%)

series43.0ms (0.4%)

simplify447.0ms (3.7%)

rewrite163.0ms (1.4%)

eval126.0ms (1%)

prune40.0ms (0.3%)

regimes30.0ms (0.2%)

regimes5.0ms (0%)

simplify8.0ms (0.1%)

soundness190.0ms (1.6%)

preprocess18.0ms (0.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	33	192
0	56	179
1	79	179
2	108	159
3	119	159
4	154	156
5	173	156
6	182	156
7	228	156
8	237	156
0	237	156