Metrics for sqrt B (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)

sample560.0ms (13%)

Memory

17.7MiB live, 845.0MiB allocated

Samples

366.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-mult: 132.0ms (60.2% of total)

ival-sqrt: 73.0ms (33.3% of total)

ival-true: 7.0ms (3.2% of total)

exact: 5.0ms (2.3% of total)

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

Bogosity

explain81.0ms (1.9%)

Memory

29.1MiB live, 146.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
126	-	4	(-2.3351057491949013e-161)	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) x) x)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	oflow-rescue	67	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	overflow	67
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	uflow-rescue	55	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	underflow	55

Confusion

	Predicted +	Predicted -
+	122	4
-	0	130

Precision

1.0

Recall

0.9682539682539683

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	4
-	0	0	130

Precision?

1.0

Recall?

0.9682539682539683

Freqs

test

number	freq
0	134
1	122

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 74 to 35 computations (52.7% saved)

Precisions

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

ival-mult: 7.0ms (57.9% of total)

ival-sqrt: 4.0ms (33.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess41.0ms (1%)

Memory

-28.9MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	21	13
2	62	13
3	149	13
4	214	13
5	231	13
6	233	13
0	5	6
0	8	6
1	12	6
2	13	6
0	13	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.8%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	12	16
2	13	16
0	13	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.4%)

Memory

15.7MiB live, 15.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 #s(literal 2 binary64) x) x)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	28.946907769811475	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Samples

10.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

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

ival-mult: 3.0ms (54.5% of total)

ival-sqrt: 2.0ms (36.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify4.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	17	17
2	32	17
3	36	17
4	40	17
5	52	17
6	64	17
7	75	17
8	95	17
9	100	17
0	100	17

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 4

Calls

Call 1

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

rewrite218.0ms (5.1%)

Memory

-13.2MiB live, 141.7MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	17	14
2	38	13
3	92	12
4	338	12
5	2074	12
0	8672	12

Stop Event

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

Counts

3 → 118

Calls

Call 1

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

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

eval59.0ms (1.4%)

Memory: -14.2MiB live, 24.2MiB allocated
Compiler: Compiled 1 740 to 356 computations (79.5% saved)

prune5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	117	6	123

Accuracy

100.0%

Counts

123 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	70.9%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.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))
▶	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	54.8%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 86 to 71 computations (17.4% saved)

simplify4.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	6784	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
cost-diff	0	(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 x #s(literal 3/4 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff	0	(sqrt.f64 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	23	107
0	40	107
1	53	103
2	61	103
0	61	103

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

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

localize129.0ms (3%)

Memory

-6.8MiB live, 69.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy	0.1875	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
accuracy	0.32421875	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.20703125	(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))
accuracy	0.37890625	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
accuracy	18.91854569569301	(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
accuracy	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.08203125	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	0.375	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.39453125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	0.350605029305326	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Samples

83.0ms

256×

valid

Compiler

Compiled 216 to 48 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 47.0ms (67.4% of total)

ival-pow: 13.0ms (18.7% of total)

ival-sqrt: 8.0ms (11.5% of total)

exact: 1.0ms (1.4% of total)

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

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

series338.0ms (7.9%)

Memory

-7.2MiB live, 201.8MiB allocated

Counts

17 → 23

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

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

Calls

3 calls:

Time	Variable		Point	Expression
164.0ms	x	@	-inf	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))
143.0ms	x	@	0	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))
30.0ms	x	@	inf	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))

Time

Variable

Point

Expression

164.0ms

-inf

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

143.0ms

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

30.0ms

inf

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

simplify168.0ms (3.9%)

Memory

26.6MiB live, 102.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	70	143
1	164	143
2	460	141
3	1088	141
4	1454	141
5	1880	141
6	2638	141
7	4529	141
8	5930	140
9	7116	140
10	7941	140
0	8017	140

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

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

rewrite216.0ms (5%)

Memory

11.2MiB live, 205.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	87
0	40	77
1	84	75
2	208	65
3	713	65
4	4133	65
0	8149	65

Stop Event

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

Counts

17 → 1 035

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

Outputs
(.f64 (sqrt.f64 (.f64 (*.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 1/4 binary64)))) (pow.f64 x #s(literal 1/8 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 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 7/8 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/8 binary64)))) (pow.f64 x #s(literal 5/16 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/32 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/32 binary64))) (pow.f64 x #s(literal 3/32 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) (.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) (.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(.f64 (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 5/64 binary64)) (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x))
(.f64 (pow.f64 x #s(literal 9/16 binary64)) (.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x))
(.f64 (.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 5/64 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 5/64 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 9/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/8 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 5/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 5/64 binary64)) x))
(.f64 (.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 3/8 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 7/16 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 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) x)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))
(.f64 (pow.f64 x #s(literal 3/32 binary64)) (.f64 (pow.f64 x #s(literal 3/32 binary64)) (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x)))
(.f64 (pow.f64 x #s(literal 1/32 binary64)) (.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 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 3/16 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (*.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #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 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) x))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
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eval224.0ms (5.2%)

Memory: -24.8MiB live, 173.3MiB allocated
Compiler: Compiled 11 299 to 2 276 computations (79.9% saved)

prune22.0ms (0.5%)

Memory

8.2MiB live, 45.6MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	813	3	816
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	813	9	822

Accuracy

100.0%

Counts

822 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
▶	99.1%	(.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	70.9%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.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))
▶	70.9%	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	54.8%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 74 to 61 computations (17.6% saved)

simplify4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
cost-diff	6464	(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
cost-diff	0	(.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
cost-diff	0	(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(sqrt.f64 (sqrt.f64 x))
cost-diff	0	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	81
0	31	81
1	40	77
2	52	77
3	54	77
0	54	77

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(sqrt.f64 x)
x
#s(literal 3/2 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
#s(literal 2 binary64)
x

localize318.0ms (7.4%)

Memory

-28.4MiB live, 83.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
accuracy	0.39453125	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
accuracy	1.0	(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.08203125	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	0.375	(.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
accuracy	0.40853500976844204	(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
accuracy	0.1328125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.20703125	(.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64)))
accuracy	0.37890625	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
accuracy	18.91854569569301	(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))))

Samples

43.0ms

256×

valid

Compiler

Compiled 164 to 38 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 9.0ms (31.2% of total)

ival-pow: 9.0ms (31.2% of total)

ival-sqrt: 7.0ms (24.3% of total)

ival-pow2: 3.0ms (10.4% of total)

exact: 1.0ms (3.5% of total)

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

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

series94.0ms (2.2%)

Memory

19.8MiB live, 172.3MiB allocated

Counts

11 → 16

Calls

Call 1

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

Outputs
(* x (sqrt 2))
(pow (* 1 x) 1/4)
(sqrt x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow 256 1/16) x)
(* 2 (sqrt (pow x 3)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

37.0ms

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

28.0ms

-inf

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

28.0ms

inf

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

simplify298.0ms (6.9%)

Memory

-28.7MiB live, 57.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	103
1	102	103
2	276	102
3	474	102
4	1078	102
5	2023	102
6	3150	102
7	3464	102
8	3714	102
9	3886	102
10	3938	102
11	4456	102
12	4684	102
13	4689	102
14	4691	102
15	4707	102
16	4720	102
17	4725	102
18	4732	102
19	4737	102
20	4739	102
21	4739	102
22	4759	102
23	4767	102
24	4767	102
25	5427	102
26	6827	102
27	7343	102
28	7453	102
29	7475	102
30	7475	102
31	7475	102
32	7475	102
33	7475	102
0	8331	102

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
(* x (sqrt 2))
(pow (* 1 x) 1/4)
(sqrt x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow 256 1/16) x)
(* 2 (sqrt (pow x 3)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(sqrt x)
(sqrt.f64 x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))

rewrite127.0ms (3%)

Memory

5.5MiB live, 202.5MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	63
0	31	57
1	76	49
2	208	43
3	697	37
4	4303	37
0	8125	37

Stop Event

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

Counts

11 → 488

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 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 3/8 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 7/8 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 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/8 binary64)))) (pow.f64 x #s(literal 5/16 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/32 binary64))) (pow.f64 x #s(literal 3/32 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 9/16 binary64)) (.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) x))))
(.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 7/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 9/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))))
(.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(.f64 (pow.f64 x #s(literal 5/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64))))
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(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (exp.f64 (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) x))
(.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 #s(literal 2 binary64))))

eval73.0ms (1.7%)

Memory: -3.9MiB live, 118.9MiB allocated
Compiler: Compiled 7 258 to 1 448 computations (80% saved)

prune10.0ms (0.2%)

Memory

-9.9MiB live, 28.7MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	518	1	519
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	518	10	528

Accuracy

100.0%

Counts

528 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.1%	(.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	70.9%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.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))
✓	70.9%	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	20.3%	(*.f64 x #s(literal 1 binary64))
✓	54.8%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 77 to 64 computations (16.9% saved)

simplify3.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	320	(*.f64 x #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	4	3
1	7	3
2	8	3
0	8	3

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize9.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x #s(literal 1 binary64))

Samples

6.0ms

256×

valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (94.7% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

1 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((* x 1))
0.0ms	x	@	inf	((* x 1))
0.0ms	x	@	0	((* x 1))

simplify2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated

Counts

1 → 0

Calls

Call 1

Inputs
x

Outputs
x

rewrite5.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	4	1
1	7	1
2	8	1
0	8	1

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

1 → 3

Calls

Call 1

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

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 7 to 4 computations (42.9% saved)

prune5.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	0	0
Picked	1	0	1
Done	0	9	9
Total	3	10	13

Accuracy

100.0%

Counts

13 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.1%	(.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	70.9%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.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))
✓	70.9%	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	54.8%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
	20.3%	x

Compiler

Compiled 153 to 100 computations (34.6% saved)

regimes16.0ms (0.4%)

Memory

-19.9MiB live, 17.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
4.0ms	x
3.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)

Results

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes6.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

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

Results

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify24.0ms (0.6%)

Memory

-1.6MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	11	12

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)
x

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

soundness1.2s (27%)

Memory

-24.2MiB live, 288.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	4	1
1	7	1
2	8	1
0	8	1
0	23	87
0	40	77
1	84	75
2	208	65
3	713	65
4	4133	65
0	8149	65
0	18	63
0	31	57
1	76	49
2	208	43
3	697	37
4	4303	37
0	8125	37
0	5	14
0	8	14
1	17	14
2	38	13
3	92	12
4	338	12
5	2074	12
0	8672	12

Stop Event

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

Compiler

Compiled 60 to 43 computations (28.3% saved)

preprocess43.0ms (1%)

Memory: 7.4MiB live, 44.9MiB allocated
Compiler: Compiled 64 to 50 computations (21.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample560.0ms (13%)

explain81.0ms (1.9%)

preprocess41.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize15.0ms (0.4%)

series4.0ms (0.1%)

simplify4.0ms (0.1%)

rewrite218.0ms (5.1%)

eval59.0ms (1.4%)

prune5.0ms (0.1%)

simplify4.0ms (0.1%)

localize129.0ms (3%)

series338.0ms (7.9%)

simplify168.0ms (3.9%)

rewrite216.0ms (5%)

eval224.0ms (5.2%)

prune22.0ms (0.5%)

simplify4.0ms (0.1%)

localize318.0ms (7.4%)

series94.0ms (2.2%)

simplify298.0ms (6.9%)

rewrite127.0ms (3%)

eval73.0ms (1.7%)

prune10.0ms (0.2%)

simplify3.0ms (0.1%)

localize9.0ms (0.2%)

series0.0ms (0%)

simplify2.0ms (0%)

rewrite5.0ms (0.1%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes16.0ms (0.4%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

simplify24.0ms (0.6%)

soundness1.2s (27%)

preprocess43.0ms (1%)

end0.0ms (0%)

Profiling