Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.5s (36.7%)

Memory

-5.9MiB live, 1 206.4MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-div: 114.0ms (47.2% of total)

ival-mult: 69.0ms (28.6% of total)

ival-sub: 40.0ms (16.6% of total)

exact: 9.0ms (3.7% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain91.0ms (2.2%)

Memory

7.6MiB live, 104.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 6 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
-	-	`(*.f64 x x)`
-	-	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

29.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 10.0ms (57.9% of total)

ival-div: 4.0ms (23.2% of total)

ival-sub: 3.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess15.0ms (0.4%)

Memory

28.9MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	86	14
4	129	14
5	140	14
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	112	7
0	112	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify9.0ms (0.2%)

Memory

-33.4MiB live, 10.5MiB 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 (*.f64 x x) #s(literal 3 binary64))
cost-diff	0	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	17	18
2	36	18
3	65	18
4	94	18
5	109	18
6	112	18
0	112	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

localize17.0ms (0.4%)

Memory

35.7MiB live, 35.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0703125	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (36.6% of total)

ival-mult: 2.0ms (36.6% of total)

ival-sub: 1.0ms (18.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

3 → 8

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
1.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
0.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))

simplify108.0ms (2.6%)

Memory

-28.9MiB live, 114.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	38	34
2	87	34
3	298	34
4	1444	34
5	5082	34
6	6874	34
0	8007	30

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))

rewrite125.0ms (3.1%)

Memory

12.6MiB live, 142.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	37	15
2	215	15
3	1894	15
0	8622	15

Stop Event

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

Counts

3 → 194

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64))))) (.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))))) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 9 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 9 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)))) (.f64 (/.f64 #s(literal -27 binary64) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal -27 binary64) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal -27 binary64) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))) (.f64 (/.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64))) (.f64 (/.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64)))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64))))))))
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(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (neg.f64 (/.f64 #s(literal -27 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x #s(literal -3 binary64))) (.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x #s(literal -3 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (-.f64 (.f64 x x) #s(literal 3 binary64))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -3 binary64))) (.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -3 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (-.f64 (.f64 x x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))))) (/.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 27 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 3 binary64)))) (/.f64 #s(literal 81 binary64) (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 19683 binary64) (.f64 (-.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal 3 binary64)))) (/.f64 #s(literal 729 binary64) (.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 729 binary64) (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -81 binary64) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -81 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -729 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -81 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal -729 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal -19683 binary64) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (-.f64 (.f64 x x) #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (neg.f64 (/.f64 #s(literal -27 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (neg.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval44.0ms (1.1%)

Memory: 20.9MiB live, 82.6MiB allocated
Compiler: Compiled 7 183 to 760 computations (89.4% saved)

prune13.0ms (0.3%)

Memory

-21.6MiB live, 21.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	193	7	200
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	194	7	201

Accuracy

100.0%

Counts

201 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.7%	(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64))
	60.7%	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
▶	86.5%	(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
▶	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
▶	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
▶	52.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	47.6%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 160 to 132 computations (17.5% saved)

simplify8.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	113
0	35	113
1	52	113
2	97	113
3	190	113
4	270	113
5	291	113
6	294	113
0	294	113

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(literal -1/2 binary64)
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 6 binary64)

Outputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(literal -1/2 binary64)
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 6 binary64)

localize60.0ms (1.5%)

Memory

12.7MiB live, 101.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
accuracy	0.0703125	(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	13.846348805890443	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy	0.0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
accuracy	0.08984375	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
accuracy	0.3046875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.171875	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	30.570332381466166	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	33.531593547056225	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0	#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0.0703125	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))

Samples

42.0ms

256×

valid

Compiler

Compiled 92 to 21 computations (77.2% saved)

Precisions

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

ival-mult: 12.0ms (41% of total)

const: 4.0ms (13.7% of total)

ival-div: 3.0ms (10.3% of total)

ival-pow: 3.0ms (10.3% of total)

ival-add: 2.0ms (6.8% of total)

ival-sub: 2.0ms (6.8% of total)

ival-sqrt: 2.0ms (6.8% of total)

exact: 1.0ms (3.4% of total)

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

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

series5.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

14 → 10

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(* 1/6 (pow x 2))
(pow x 2)
(* 1/6 x)
(pow x 4)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (sqrt (pow x 4)) (pow x 4))
2.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (sqrt (pow x 4)) (pow x 4))
1.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (sqrt (pow x 4)) (pow x 4))

Time

Variable

Point

Expression

2.0ms

inf

((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (sqrt (pow x 4)) (pow x 4))

2.0ms

-inf

((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (sqrt (pow x 4)) (pow x 4))

1.0ms

((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (sqrt (pow x 4)) (pow x 4))

simplify152.0ms (3.7%)

Memory

-18.7MiB live, 188.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	40
1	42	40
2	89	40
3	293	40
4	1454	40
5	5074	40
6	6879	40
0	8012	36

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(* 1/6 (pow x 2))
(pow x 2)
(* 1/6 x)
(pow x 4)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))

rewrite145.0ms (3.6%)

Memory

-37.7MiB live, 300.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	100
0	35	97
1	108	97
2	529	97
3	5406	97
0	8371	97

Stop Event

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

Counts

14 → 338

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))

Outputs
(/.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -6 binary64))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(neg.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(neg.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -27 binary64))) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64))))
(.f64 (/.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64)) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (-.f64 (.f64 x x) #s(literal -3 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (.f64 x x) #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64))) (-.f64 (*.f64 x x) #s(literal -3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (-.f64 (.f64 x x) #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (-.f64 (.f64 x x) #s(literal -3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 x x) #s(literal -3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 (*.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal -3 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (-.f64 (*.f64 x x) #s(literal -3 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal -3 binary64)) #s(literal 9 binary64))) (pow.f64 (-.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -27 binary64))) (pow.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x x) #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 x x) #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -27 binary64)) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 #s(literal -19683 binary64) (pow.f64 x #s(literal 18 binary64))) (.f64 (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(neg.f64 (fma.f64 x x #s(literal 3 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64))) (/.f64 #s(literal -27 binary64) (fma.f64 (*.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64)) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 x #s(literal 3 binary64)) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
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(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (sinh.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))

eval41.0ms (1%)

Memory: -1.4MiB live, 97.9MiB allocated
Compiler: Compiled 6 732 to 1 176 computations (82.5% saved)

prune6.0ms (0.1%)

Memory

24.1MiB live, 24.1MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	290	3	293
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	293	7	300

Accuracy

100.0%

Counts

300 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
✓	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
▶	52.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
✓	52.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	38.7%	#s(approx (/ (- (* x x) 3) 6) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
▶	38.8%	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
✓	47.6%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 92 to 75 computations (18.5% saved)

simplify9.0ms (0.2%)

Memory

-28.4MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
cost-diff	0	(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	99
0	31	99
1	45	99
2	71	99
3	102	99
4	131	99
5	146	99
6	149	99
0	149	99

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/36 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 x)
#s(literal 1/6 binary64)

Outputs
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 x)
#s(literal 1/6 binary64)

localize56.0ms (1.4%)

Memory

24.5MiB live, 118.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.154628759768442	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
accuracy	0.171875	(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64))
accuracy	30.570332381466166	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.171875	(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))
accuracy	13.846348805890443	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy	30.570332381466166	#s(approx (/ (- (* x x) 3) 6) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.1171875	(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	13.940501325274358	(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy	30.570332381466166	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

Samples

44.0ms

256×

valid

Compiler

Compiled 78 to 21 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 9.0ms (27.4% of total)

ival-pow: 9.0ms (27.4% of total)

const: 7.0ms (21.3% of total)

ival-sqrt: 5.0ms (15.2% of total)

ival-div: 2.0ms (6.1% of total)

ival-sub: 1.0ms (3% of total)

exact: 1.0ms (3% of total)

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

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

series8.0ms (0.2%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

12 → 13

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 x)

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/36 (pow x 4))
(pow x 4)
(pow x 2)
(sqrt (pow x 3))
(sqrt x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((/ (- (* x x) 3) 6) (sqrt (* 1/36 (pow x 4))) (* 1/36 (pow x 4)) (pow x 4) (/ (- (* x x) 3) 6) (* (sqrt (pow x 4)) 1/6) (sqrt (pow x 4)) (/ (- (* x x) 3) 6) (* (* (pow x 3/2) (sqrt x)) 1/6) (* (pow x 3/2) (sqrt x)) (pow x 3/2) (sqrt x))

2.0ms

inf

((/ (- (* x x) 3) 6) (sqrt (* 1/36 (pow x 4))) (* 1/36 (pow x 4)) (pow x 4) (/ (- (* x x) 3) 6) (* (sqrt (pow x 4)) 1/6) (sqrt (pow x 4)) (/ (- (* x x) 3) 6) (* (* (pow x 3/2) (sqrt x)) 1/6) (* (pow x 3/2) (sqrt x)) (pow x 3/2) (sqrt x))

2.0ms

((/ (- (* x x) 3) 6) (sqrt (* 1/36 (pow x 4))) (* 1/36 (pow x 4)) (pow x 4) (/ (- (* x x) 3) 6) (* (sqrt (pow x 4)) 1/6) (sqrt (pow x 4)) (/ (- (* x x) 3) 6) (* (* (pow x 3/2) (sqrt x)) 1/6) (* (pow x 3/2) (sqrt x)) (pow x 3/2) (sqrt x))

simplify54.0ms (1.3%)

Memory

-36.6MiB live, 67.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	66
1	54	55
2	129	53
3	366	53
0	1301	51

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

13 → 13

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/36 (pow x 4))
(pow x 4)
(pow x 2)
(sqrt (pow x 3))
(sqrt x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/36 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt x)
(sqrt.f64 x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (pow (sqrt -1) 2))
(*.f64 (neg.f64 x) x)
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite116.0ms (2.8%)

Memory

15.2MiB live, 156.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	87
0	31	73
1	83	73
2	346	73
3	3153	73
0	8559	73

Stop Event

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

Counts

12 → 428

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 x)

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))) (neg.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 5/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)))
(.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
(.f64 (pow.f64 x #s(literal 5/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64))))
(.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64)))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64))))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 1/36 binary64))))
(pow.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
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(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 7/4 binary64))))
(*.f64 (pow.f64 x #s(literal 15/16 binary64)) (pow.f64 x #s(literal 9/16 binary64)))
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 x #s(literal 15/16 binary64)))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (fabs.f64 (pow.f64 x #s(literal 9/8 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 9/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 x) x)
(pow.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3/16 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))))
(fabs.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (log.f64 x)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 3/8 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/8 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/8 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5/8 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/16 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))

eval79.0ms (1.9%)

Memory: -14.7MiB live, 76.2MiB allocated
Compiler: Compiled 6 320 to 1 272 computations (79.9% saved)

prune7.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	312	4	316
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	314	9	323

Accuracy

100.0%

Counts

323 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
✓	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
▶	52.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64)))))
▶	52.0%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
✓	52.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	52.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
✓	38.7%	#s(approx (/ (- (* x x) 3) 6) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
▶	38.8%	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x)))
✓	47.6%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 126 to 98 computations (22.2% saved)

simplify40.0ms (1%)

Memory

-15.7MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 x #s(literal 1/36 binary64)))
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64))))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64)))))
cost-diff	0	(*.f64 (sqrt.f64 x) x)
cost-diff	0	(.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
cost-diff	4	(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
cost-diff	0	(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x)))
cost-diff	2	(.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) x)
cost-diff	2	(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	155
0	43	143
1	69	143
2	131	135
3	381	129
4	1372	129
5	1966	129
6	2047	129
7	2053	129
8	2053	129
9	2247	129
10	2247	129
0	2247	129

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x)))
(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(*.f64 x x)
x
#s(literal 1/36 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64))
(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64)))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64))))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 (*.f64 x #s(literal 1/36 binary64)))
(*.f64 x #s(literal 1/36 binary64))
#s(literal 1/36 binary64)

Outputs
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x)))
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/36 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
(*.f64 x x)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64)))))
#s(approx (/ (- (* x x) 3) 6) (.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) x)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) x)) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 (*.f64 x #s(literal 1/36 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) x))
(*.f64 x #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) x)
#s(literal 1/36 binary64)

localize99.0ms (2.4%)

Memory

27.0MiB live, 172.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.17644501953688402	(sqrt.f64 (*.f64 x #s(literal 1/36 binary64)))
accuracy	0.1796875	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64))))
accuracy	0.359375	(*.f64 x #s(literal 1/36 binary64))
accuracy	30.570332381466166	#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64)))))
accuracy	0.154628759768442	(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
accuracy	0.171875	(.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64))
accuracy	0.17578125	(*.f64 (sqrt.f64 x) x)
accuracy	30.570332381466166	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
accuracy	0.14453125	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
accuracy	0.3046875	(*.f64 x #s(literal 1/6 binary64))
accuracy	30.570332381466166	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
accuracy	0.1171875	(.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) x)
accuracy	0.17806625976844204	(.f64 (.f64 x x) #s(literal 1/36 binary64))
accuracy	13.940501325274358	(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x))
accuracy	30.570332381466166	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x)))

Samples

84.0ms

256×

valid

Compiler

Compiled 121 to 25 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 25.0ms (40.4% of total)

ival-mult: 16.0ms (25.9% of total)

const: 7.0ms (11.3% of total)

ival-pow: 6.0ms (9.7% of total)

ival-sqrt: 5.0ms (8.1% of total)

ival-sub: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.9%)

Memory

-2.6MiB live, 40.9MiB allocated

Counts

17 → 18

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) x)
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x)))
(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64))
(*.f64 (sqrt.f64 x) x)
#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64)))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64))))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (*.f64 x #s(literal 1/36 binary64)))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(*.f64 x #s(literal 1/36 binary64))

Outputs
(* 1/36 (pow x 4))
(* 1/36 (pow x 3))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/6 x)
(pow x 2)
(sqrt (pow x 3))
(* 1/6 (sqrt x))
(* 1/36 (pow x 2))
(* 1/36 x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (* (sqrt -1) (sqrt -1/36)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/36))))

Calls

3 calls:

Time

Variable

Point

Expression

26.0ms

((* (* (* (* x x) 1/36) x) x) (* (* (* x x) 1/36) x) (/ (- (* x x) 3) 6) (sqrt (* (* (* (* x x) 1/36) x) x)) (/ (- (* x x) 3) 6) (* (* x 1/6) x) (* x 1/6) (* (* (sqrt x) x) (sqrt x)) (/ (- (* x x) 3) 6) (* (* (* (sqrt x) x) (sqrt x)) 1/6) (* (sqrt x) x) (/ (- (* x x) 3) 6) (* (pow x 3/2) (sqrt (* x 1/36))) (pow x 3/2) (sqrt (* x 1/36)) (* (* x x) 1/36) (* x 1/36))

6.0ms

-inf

((* (* (* (* x x) 1/36) x) x) (* (* (* x x) 1/36) x) (/ (- (* x x) 3) 6) (sqrt (* (* (* (* x x) 1/36) x) x)) (/ (- (* x x) 3) 6) (* (* x 1/6) x) (* x 1/6) (* (* (sqrt x) x) (sqrt x)) (/ (- (* x x) 3) 6) (* (* (* (sqrt x) x) (sqrt x)) 1/6) (* (sqrt x) x) (/ (- (* x x) 3) 6) (* (pow x 3/2) (sqrt (* x 1/36))) (pow x 3/2) (sqrt (* x 1/36)) (* (* x x) 1/36) (* x 1/36))

3.0ms

inf

((* (* (* (* x x) 1/36) x) x) (* (* (* x x) 1/36) x) (/ (- (* x x) 3) 6) (sqrt (* (* (* (* x x) 1/36) x) x)) (/ (- (* x x) 3) 6) (* (* x 1/6) x) (* x 1/6) (* (* (sqrt x) x) (sqrt x)) (/ (- (* x x) 3) 6) (* (* (* (sqrt x) x) (sqrt x)) 1/6) (* (sqrt x) x) (/ (- (* x x) 3) 6) (* (pow x 3/2) (sqrt (* x 1/36))) (pow x 3/2) (sqrt (* x 1/36)) (* (* x x) 1/36) (* x 1/36))

simplify77.0ms (1.9%)

Memory

-14.4MiB live, 86.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	91
1	86	87
2	226	87
3	600	87
0	2022	85

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

18 → 18

Calls

Call 1

Inputs
(* 1/36 (pow x 4))
(* 1/36 (pow x 3))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/6 x)
(pow x 2)
(sqrt (pow x 3))
(* 1/6 (sqrt x))
(* 1/36 (pow x 2))
(* 1/36 x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (* (sqrt -1) (sqrt -1/36)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/36))))

Outputs
(* 1/36 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(* 1/36 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(pow x 2)
(*.f64 x x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 #s(literal 1/36 binary64) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (* (sqrt -1) (sqrt -1/36)))
(.f64 (.f64 (sqrt.f64 #s(literal -1/36 binary64)) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/36))))
(.f64 (.f64 (sqrt.f64 #s(literal -1/36 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))

rewrite169.0ms (4.1%)

Memory

3.5MiB live, 195.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	141
0	43	158
1	102	119
2	375	106
3	2645	106
0	9032	106

Stop Event

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

Counts

17 → 522

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) x)
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x)))
(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64))
(*.f64 (sqrt.f64 x) x)
#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64)))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64))))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (*.f64 x #s(literal 1/36 binary64)))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(*.f64 x #s(literal 1/36 binary64))

Outputs
(*.f64 (exp.f64 (log.f64 #s(literal 1/36 binary64))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64)))) (.f64 x x))
(*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 1/36 binary64)))) x)
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64)) x)
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/36 binary64) x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(.f64 (.f64 #s(literal 1/36 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x x) (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64)))))
(.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (.f64 x x)))
(*.f64 x (exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 1/36 binary64)))))
(.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(exp.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))))
(+.f64 (cosh.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64)))) (sinh.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64))
(.f64 (.f64 #s(literal 1/36 binary64) x) (*.f64 x x))
(.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) x)
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/36 binary64) x))
(.f64 x (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (neg.f64 (.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))) (neg.f64 (.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))))
(.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)))) (neg.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)))))
(.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))) (neg.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))))
(.f64 (fabs.f64 (.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))) (fabs.f64 (.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))))
(.f64 (fabs.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)))) (fabs.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 x x))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) (.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)))
(.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64))))
(.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))))
(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))) (.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))))) (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))) (.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))))))
(neg.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(fabs.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(exp.f64 (+.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (log.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))) (.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (.f64 #s(literal 1/36 binary64) x)) #s(literal 1/2 binary64) (.f64 #s(literal 3/4 binary64) (log.f64 x))) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))) (log.f64 x)))
(exp.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))))
(exp.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (fma.f64 (log.f64 (.f64 #s(literal 1/36 binary64) x)) #s(literal 1/2 binary64) (.f64 #s(literal 3/4 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64))))
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(*.f64 #s(literal 1/6 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 1/36 binary64) x)))
(pow.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/36 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))) (cosh.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))) (sinh.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))) (.f64 (cosh.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))) (sinh.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) x))
(fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 1/36 binary64) x)) #s(literal 1/4 binary64) (.f64 (log.f64 (*.f64 #s(literal 1/36 binary64) x)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 1/36 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))
(+.f64 (cosh.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))) (sinh.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))))
(.f64 (.f64 #s(literal 1/36 binary64) x) x)
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(.f64 x (.f64 #s(literal 1/36 binary64) x))
(neg.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)))
(*.f64 (exp.f64 (log.f64 #s(literal 1/36 binary64))) x)
(*.f64 #s(literal 1/36 binary64) x)
(*.f64 x (exp.f64 (log.f64 #s(literal 1/36 binary64))))
(*.f64 x #s(literal 1/36 binary64))
(neg.f64 (*.f64 #s(literal 1/36 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 1/36 binary64) x)))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/36 binary64) x))) (sinh.f64 (log.f64 (.f64 #s(literal 1/36 binary64) x))))

eval65.0ms (1.6%)

Memory: -18.2MiB live, 73.2MiB allocated
Compiler: Compiled 6 253 to 1 121 computations (82.1% saved)

prune10.0ms (0.3%)

Memory

31.8MiB live, 31.8MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	272	2	274
Fresh	0	0	0
Picked	2	2	4
Done	1	4	5
Total	275	8	283

Accuracy

100.0%

Counts

283 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
✓	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
✓	52.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64)))))
	52.0%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sqrt.f64 x)) x))
✓	52.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	52.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
	38.8%	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) x) x) x) x)))
✓	47.6%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 342 to 159 computations (53.5% saved)

regimes22.0ms (0.5%)

Memory

-11.3MiB live, 40.9MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) x) x) x) x)))
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) x)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sqrt.f64 x)) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64)))))
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64))

Outputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))

Calls

4 calls:

9.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
4.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 x x)`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes10.0ms (0.3%)

Memory

-27.8MiB live, 16.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))

Outputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.8%	1	`(*.f64 x x)`
99.8%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.8%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.8%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))

#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Calls

4 calls:

2.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
98.0%	2	`(*.f64 x x)`
98.0%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.0%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.0%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
97.9%	2	`(*.f64 x x)`
97.9%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
97.9%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
97.9%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
47.6%	1	`(*.f64 x x)`
47.6%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
47.6%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
47.6%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch13.0ms (0.3%)

Memory

-23.7MiB live, 20.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.1007125364702	5.445759210677779

Samples

7.0ms

112×

valid

Compiler

Compiled 164 to 150 computations (8.5% saved)

Precisions

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

ival-sub: 1.0ms (41.8% of total)

ival-div: 1.0ms (41.8% of total)

ival-mult: 1.0ms (41.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.1007125364702	5.445759210677779

Compiler

Compiled 164 to 150 computations (8.5% saved)

simplify12.0ms (0.3%)

Memory

29.7MiB live, 29.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	87
1	33	87
2	52	87
3	81	87
4	109	87
5	126	87
6	137	87

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Outputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

soundness781.0ms (19.1%)

Memory

-14.1MiB live, 550.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	38	34
2	87	34
3	298	34
4	1444	34
5	5082	34
6	6874	34
0	8007	30
0	24	100
0	35	97
1	108	97
2	529	97
3	5406	97
0	8371	97
0	22	87
0	31	73
1	83	73
2	346	73
3	3153	73
0	8559	73

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

Compiler

Compiled 139 to 73 computations (47.5% saved)

preprocess65.0ms (1.6%)

Memory: 24.3MiB live, 115.8MiB allocated
Remove: (abs x)
Compiler: Compiled 212 to 84 computations (60.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	86	14
4	129	14
5	140	14
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	112	7
0	112	7

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	86	14
4	129	14
5	140	14
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	112	7
0	112	7

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (36.7%)

explain91.0ms (2.2%)

preprocess15.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.2%)

localize17.0ms (0.4%)

series2.0ms (0%)

simplify108.0ms (2.6%)

rewrite125.0ms (3.1%)

eval44.0ms (1.1%)

prune13.0ms (0.3%)

simplify8.0ms (0.2%)

localize60.0ms (1.5%)

series5.0ms (0.1%)

simplify152.0ms (3.7%)

rewrite145.0ms (3.6%)

eval41.0ms (1%)

prune6.0ms (0.1%)

simplify9.0ms (0.2%)

localize56.0ms (1.4%)

series8.0ms (0.2%)

simplify54.0ms (1.3%)

rewrite116.0ms (2.8%)

eval79.0ms (1.9%)

prune7.0ms (0.2%)

simplify40.0ms (1%)

localize99.0ms (2.4%)

series36.0ms (0.9%)

simplify77.0ms (1.9%)

rewrite169.0ms (4.1%)

eval65.0ms (1.6%)

prune10.0ms (0.3%)

regimes22.0ms (0.5%)

regimes10.0ms (0.3%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch13.0ms (0.3%)

bsearch1.0ms (0%)

simplify12.0ms (0.3%)

soundness781.0ms (19.1%)

preprocess65.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	86	14
4	129	14
5	140	14
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	112	7
0	112	7