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

0.9MiB live, 0.9MiB 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)

sample710.0ms (22.7%)

Memory

62.6MiB live, 1 176.0MiB allocated

Samples

447.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-mult: 89.0ms (38.4% of total)

ival-sub: 63.0ms (27.2% of total)

ival-div: 63.0ms (27.2% of total)

exact: 9.0ms (3.9% of total)

ival-true: 6.0ms (2.6% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain91.0ms (2.9%)

Memory

-31.7MiB live, 113.5MiB 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: 18.0ms

ival-mult: 11.0ms (61.5% of total)

ival-sub: 3.0ms (16.8% of total)

ival-div: 3.0ms (16.8% of total)

exact: 1.0ms (5.6% of total)

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

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

preprocess16.0ms (0.5%)

Memory

28.7MiB live, 28.7MiB 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

0.7MiB live, 0.7MiB 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)

simplify5.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.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)

localize51.0ms (1.6%)

Memory

-19.5MiB live, 24.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0.0546875	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

46.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 2.0ms (29.8% of total)

ival-div: 2.0ms (29.8% of total)

ival-mult: 2.0ms (29.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB 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))

simplify121.0ms (3.9%)

Memory

-9.4MiB live, 130.7MiB 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))

rewrite172.0ms (5.5%)

Memory

25.5MiB live, 221.3MiB 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))))

eval41.0ms (1.3%)

Memory: -21.4MiB live, 94.8MiB allocated
Compiler: Compiled 7 183 to 760 computations (89.4% saved)

prune7.0ms (0.2%)

Memory

-27.8MiB live, 18.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	195	5	200
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	5	201

Accuracy

100.0%

Counts

201 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.7%	(/.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)))
▶	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
▶	99.9%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
▶	46.0%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	54.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 120 to 96 computations (20% saved)

simplify11.0ms (0.3%)

Memory

22.9MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
cost-diff	0	(/.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)))
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	26	123
0	38	123
1	60	123
2	130	123
3	260	123
4	398	123
5	439	123
6	442	123
0	442	123

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 (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 x x #s(literal 3 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 (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)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 x x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 6 binary64)

localize60.0ms (1.9%)

Memory

-4.6MiB live, 185.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
accuracy	0.05859375	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	17.54896504621229	(/.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)))
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	0.0390625	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
accuracy	0.30859375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.18359375	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	34.46116948612424	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	28.84766591653685	#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	0.0546875	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))

Samples

44.0ms

256×

valid

Compiler

Compiled 105 to 23 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 8.0ms (29.1% of total)

ival-add: 6.0ms (21.9% of total)

const: 4.0ms (14.6% of total)

ival-div: 3.0ms (10.9% of total)

ival-sub: 3.0ms (10.9% of total)

ival-pow: 3.0ms (10.9% of total)

exact: 1.0ms (3.6% of total)

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

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

series7.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

14 → 17

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 (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 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)
-9
(- (pow x 4) 9)
(pow x 4)
18
(+ 18 (* 6 (pow x 2)))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* 6 (pow x 2))
(* (pow x 2) (+ 6 (* 18 (/ 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) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))
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) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))
2.0ms	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) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))

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) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))

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) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))

2.0ms

((/ (- (* 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) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))

simplify103.0ms (3.3%)

Memory

-39.4MiB live, 148.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	71
1	83	71
2	190	71
3	639	71
4	2247	71
5	4548	71
6	6204	71
7	6748	71
0	8148	65

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

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)
-9
(- (pow x 4) 9)
(pow x 4)
18
(+ 18 (* 6 (pow x 2)))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* 6 (pow x 2))
(* (pow x 2) (+ 6 (* 18 (/ 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)
-9
#s(literal -9 binary64)
(- (pow x 4) 9)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
18
#s(literal 18 binary64)
(+ 18 (* 6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 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))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 6 (pow x 2))
(.f64 (.f64 x x) #s(literal 6 binary64))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))

rewrite134.0ms (4.3%)

Memory

48.2MiB live, 232.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	105
0	38	100
1	135	100
2	744	100
0	8650	100

Stop Event

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

Counts

14 → 340

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 (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 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 #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 #s(literal 3 binary64) x) 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 6 binary64)) #s(literal -27 binary64))) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 9 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 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 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))) (neg.f64 (-.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))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 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 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 #s(literal -27 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) x) 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 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 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))) (.f64 (-.f64 (.f64 x x) #s(literal -3 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -27 binary64))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 6561 binary64)) (.f64 (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 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 24 binary64)) #s(literal 531441 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 6561 binary64)) (pow.f64 x #s(literal 16 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 24 binary64)) #s(literal 531441 binary64)) (.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 36 binary64)) #s(literal 387420489 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 24 binary64)) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal 531441 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(/.f64 (+.f64 #s(literal -19683 binary64) (pow.f64 x #s(literal 18 binary64))) (.f64 (-.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 3 binary64)))
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(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64))) (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (fma.f64 (neg.f64 x) x #s(literal -3 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 6 binary64) (/.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 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (.f64 x x) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 6 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 9 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))) (.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -3 binary64)) #s(literal -6 binary64))
(.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64))))
(*.f64 #s(literal -6 binary64) (fma.f64 (neg.f64 x) x #s(literal -3 binary64)))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (.f64 x x) #s(literal 3 binary64))))
(*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x x) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 6 binary64)) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 6 binary64)) (neg.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) #s(literal 6 binary64)) (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(/.f64 (.f64 #s(literal 6 binary64) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(/.f64 (.f64 #s(literal 6 binary64) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal 6 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))))
(/.f64 (.f64 #s(literal 6 binary64) (-.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 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64))) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 324 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)))
(/.f64 (-.f64 #s(literal 324 binary64) (.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) (.f64 (.f64 x x) #s(literal 6 binary64)))) (-.f64 #s(literal 18 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 5832 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) (.f64 (.f64 x x) #s(literal 6 binary64)) (-.f64 #s(literal 324 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)))))
(/.f64 (+.f64 #s(literal 5832 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 324 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) (.f64 (.f64 x x) #s(literal 6 binary64))) (.f64 #s(literal 18 binary64) (.f64 (.f64 x x) #s(literal 6 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 6 binary64) #s(literal 162 binary64))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64))) (neg.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 6 binary64) #s(literal 162 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) (-.f64 (.f64 x x) #s(literal 3 binary64)))
(neg.f64 (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 18 binary64))
(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal 18 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 6 binary64) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 6 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 6 binary64)) #s(literal 18 binary64))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))
(fma.f64 #s(literal 6 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 18 binary64))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(-.f64 #s(literal 18 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 6 binary64)))
(-.f64 #s(literal 18 binary64) (.f64 #s(literal -6 binary64) (.f64 x x)))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 6 binary64)) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 6 binary64)))
(+.f64 (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(+.f64 #s(literal 18 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))

eval46.0ms (1.5%)

Memory: -13.8MiB live, 75.5MiB allocated
Compiler: Compiled 9 601 to 1 298 computations (86.5% saved)

prune6.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	347	3	350
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	349	6	355

Accuracy

100.0%

Counts

355 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.7%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) (.f64 (fma.f64 x x #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))
▶	99.9%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓	46.0%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	46.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	54.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 77 to 58 computations (24.7% saved)

simplify107.0ms (3.4%)

Memory

-63.5MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64))
cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
cost-diff	4	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	98
0	30	98
1	59	92
2	184	86
3	660	86
4	1836	86
5	2551	86
6	2583	86
7	2602	86
8	2630	86
9	2655	86
10	2667	86
11	2667	86
0	2667	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (2%)

Memory

17.9MiB live, 110.9MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.05859375	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	0.11328125	(.f64 (.f64 x x) (*.f64 x x))
accuracy	17.54896504621229	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
accuracy	0.08203125	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0.1171875	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.30859375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	34.46116948612424	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Samples

53.0ms

256×

valid

Compiler

Compiled 91 to 20 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 20.0ms (46.9% of total)

ival-mult: 11.0ms (25.8% of total)

ival-add: 5.0ms (11.7% of total)

const: 4.0ms (9.4% of total)

ival-sub: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

10 → 14

Calls

Call 1

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

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/6 x)
(pow x 2)
(pow x 4)
-9
(- (pow x 4) 9)
18
(+ 18 (* 6 (pow x 2)))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* 6 (pow x 2))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (* (* x x) (* x x)) (/ (- (* (* x x) (* x x)) 9) (* (+ (* x x) 3) 6)) (- (* (* x x) (* x x)) 9) (* (+ (* x x) 3) 6))

2.0ms

-inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (* (* x x) (* x x)) (/ (- (* (* x x) (* x x)) 9) (* (+ (* x x) 3) 6)) (- (* (* x x) (* x x)) 9) (* (+ (* x x) 3) 6))

1.0ms

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (* (* x x) (* x x)) (/ (- (* (* x x) (* x x)) 9) (* (+ (* x x) 3) 6)) (- (* (* x x) (* x x)) 9) (* (+ (* x x) 3) 6))

simplify105.0ms (3.4%)

Memory

-9.1MiB live, 177.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	60
1	70	60
2	157	60
3	522	60
4	1745	60
5	4759	60
6	6032	60
7	7154	60
0	8354	56

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/6 x)
(pow x 2)
(pow x 4)
-9
(- (pow x 4) 9)
18
(+ 18 (* 6 (pow x 2)))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* 6 (pow x 2))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 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))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
-9
#s(literal -9 binary64)
(- (pow x 4) 9)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
18
#s(literal 18 binary64)
(+ 18 (* 6 (pow x 2)))
(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal 18 binary64))
(* (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))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 6 (pow x 2))
(.f64 (.f64 x x) #s(literal 6 binary64))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal 18 binary64))

rewrite145.0ms (4.7%)

Memory

16.1MiB live, 252.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	82
0	30	69
1	110	65
2	704	65
0	8207	65

Stop Event

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

Counts

10 → 282

Calls

Call 1

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

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal -1/6 binary64) x)) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (fabs.f64 (.f64 #s(literal -1/6 binary64) x)))
(.f64 x (fabs.f64 (.f64 #s(literal 1/6 binary64) x)))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(neg.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(fabs.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (-.f64 (.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))) (.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))))) (-.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))) (-.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))) (.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))) #s(literal -1/8 binary64))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/16 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/64 binary64)) (.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal 1/16 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/64 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1/10077696 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal -1/512 binary64)) (.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/1728 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))))
(fma.f64 (fabs.f64 (*.f64 #s(literal -1/6 binary64) x)) x #s(literal -1/2 binary64))
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eval50.0ms (1.6%)

Memory: -37.4MiB live, 114.4MiB allocated
Compiler: Compiled 8 772 to 1 181 computations (86.5% saved)

prune7.0ms (0.2%)

Memory

25.9MiB live, 25.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	339	1	340
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	340	6	346

Accuracy

100.0%

Counts

346 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.8%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) #s(approx ( (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64))))
✓	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
✓	99.9%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓	46.0%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	46.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	54.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 84 to 62 computations (26.2% saved)

simplify24.0ms (0.8%)

Memory

-29.0MiB live, 17.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64))
cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) #s(approx ( (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64))))
cost-diff	4	(.f64 (.f64 x x) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	63
0	18	63
1	38	57
2	115	51
3	364	51
4	679	51
5	831	51
6	852	51
7	856	51
8	864	51
9	871	51
10	875	51
0	875	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) #s(approx ( (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64))))
(-.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (* (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64)))
(.f64 (.f64 x x) #s(literal 6 binary64))
#s(literal 6 binary64)

Outputs
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) #s(approx ( (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))
(-.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (* (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 6 binary64))
(.f64 #s(literal 6 binary64) (.f64 x x))
#s(literal 6 binary64)

localize31.0ms (1%)

Memory

-0.5MiB live, 55.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.15625	(.f64 (.f64 x x) #s(literal 6 binary64))
accuracy	17.54896504621229	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) #s(approx ( (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64))))
accuracy	33.91748969299757	#s(approx (* (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64)))

Samples

17.0ms

256×

valid

Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (58.4% of total)

ival-div: 2.0ms (19.5% of total)

ival-sub: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

6 → 13

Calls

Call 1

Inputs
(.f64 (.f64 x x) (*.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) #s(approx ( (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64))))
(-.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64))
(*.f64 x x)
#s(approx (* (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64)))
(.f64 (.f64 x x) #s(literal 6 binary64))

Outputs
(pow x 4)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-9
(- (pow x 4) 9)
(pow x 2)
18
(+ 18 (* 6 (pow x 2)))
(* 6 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((* (* x x) (* x x)) (/ (- (* (* x x) (* x x)) 9) (* (+ (* x x) 3) 6)) (- (* (* x x) (* x x)) 9) (* x x) (* (+ (* x x) 3) 6) (* (* x x) 6))

1.0ms

-inf

((* (* x x) (* x x)) (/ (- (* (* x x) (* x x)) 9) (* (+ (* x x) 3) 6)) (- (* (* x x) (* x x)) 9) (* x x) (* (+ (* x x) 3) 6) (* (* x x) 6))

1.0ms

((* (* x x) (* x x)) (/ (- (* (* x x) (* x x)) 9) (* (+ (* x x) 3) 6)) (- (* (* x x) (* x x)) 9) (* x x) (* (+ (* x x) 3) 6) (* (* x x) 6))

simplify92.0ms (2.9%)

Memory

-8.1MiB live, 80.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	57
1	68	57
2	157	57
3	526	57
4	1733	57
5	4753	57
6	6021	57
7	7138	57
0	8339	53

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

Inputs
(pow x 4)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-9
(- (pow x 4) 9)
(pow x 2)
18
(+ 18 (* 6 (pow x 2)))
(* 6 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))

Outputs
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
-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))
-9
#s(literal -9 binary64)
(- (pow x 4) 9)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow x 2)
(*.f64 x x)
18
#s(literal 18 binary64)
(+ 18 (* 6 (pow x 2)))
(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal 18 binary64))
(* 6 (pow x 2))
(.f64 (.f64 x x) #s(literal 6 binary64))
(* 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 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal 18 binary64))

rewrite131.0ms (4.2%)

Memory

20.9MiB live, 114.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
0	18	54
1	69	48
2	427	48
3	3858	48
0	8274	46

Stop Event

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

Counts

6 → 110

Calls

Call 1

Inputs
(.f64 (.f64 x x) (*.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) #s(approx ( (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64))))
(-.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64))
(*.f64 x x)
#s(approx (* (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64)))
(.f64 (.f64 x x) #s(literal 6 binary64))

Outputs
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 7 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))))
(/.f64 (/.f64 (-.f64 (.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal 9 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 9 binary64) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal 9 binary64)))) (neg.f64 (pow.f64 #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))) (.f64 (neg.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal -9 binary64))) (pow.f64 #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 9 binary64))) (.f64 (neg.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))) (.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -9 binary64))) (.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) (neg.f64 #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (neg.f64 #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 6561 binary64)) (.f64 (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 531441 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 6561 binary64)) (pow.f64 x #s(literal 16 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 531441 binary64)) (.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 36 binary64)) #s(literal 387420489 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 24 binary64)) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal 531441 binary64))) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(/.f64 (neg.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))) (neg.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(/.f64 (neg.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))) #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64))) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) (neg.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64))) (.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))) #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal 9 binary64))) (pow.f64 #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal 2 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))) (neg.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(/.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))) #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))) (neg.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))) (/.f64 (pow.f64 (/.f64 #s(literal 9 binary64) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 9 binary64) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 9 binary64) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 9 binary64) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal 2 binary64))) (/.f64 (.f64 #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal 9 binary64)) (pow.f64 #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))) (/.f64 #s(literal 81 binary64) (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))) (/.f64 #s(literal 729 binary64) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(approx ( (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal -81 binary64) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))) (/.f64 #s(literal 9 binary64) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 24 binary64)))) (fma.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 16 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -81 binary64) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -81 binary64) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 729 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))) #s(literal 2 binary64))) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal -81 binary64) (+.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 8 binary64)) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -81 binary64) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -81 binary64) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 729 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 729 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))) (/.f64 #s(literal 729 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)))) (neg.f64 (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)))) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 81 binary64))) (pow.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 729 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 6561 binary64)) (*.f64 (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 531441 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 6561 binary64)) (pow.f64 x #s(literal 16 binary64))) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 531441 binary64)) (*.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 36 binary64)) #s(literal 387420489 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 24 binary64)) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal 531441 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (neg.f64 (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))))
(neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -81 binary64) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))) (/.f64 #s(literal 729 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64))))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (sqrt.f64 x)))
(*.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.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))))
#s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))
(neg.f64 (neg.f64 #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))))
(.f64 (.f64 #s(literal 6 binary64) x) x)
(.f64 #s(literal 6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 6 binary64))
(.f64 x (.f64 #s(literal 6 binary64) x))
(neg.f64 (.f64 #s(literal 6 binary64) (.f64 x x)))

eval22.0ms (0.7%)

Memory: -0.6MiB live, 42.0MiB allocated
Compiler: Compiled 5 099 to 568 computations (88.9% saved)

prune6.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	158	6	164

Accuracy

100.0%

Counts

164 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	14.8%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) #s(approx ( (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64))))
✓	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
✓	99.9%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓	46.0%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	46.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	54.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 217 to 104 computations (52.1% saved)

regimes15.0ms (0.5%)

Memory

-9.2MiB live, 37.0MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) 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)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) #s(approx ( (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #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)) #s(literal 9 binary64)) (*.f64 (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:

5.0ms	(*.f64 x x)
3.0ms	x
3.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
3.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes52.0ms (1.7%)

Memory

-15.8MiB live, 28.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

46.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.2%)

Memory

23.4MiB live, 23.4MiB 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 #s(literal 1/6 binary64) x) 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 #s(literal 1/6 binary64) x) x))

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
99.1%	2	`x`
99.1%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.1%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.1%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes8.0ms (0.2%)

Memory

-38.9MiB live, 17.9MiB 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:

4.0ms	x
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(*.f64 x x)
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
54.9%	1	`x`
54.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
54.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
54.9%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000536067889611722	673697.5075449612

Compiler

Compiled 10 to 10 computations (0% saved)

simplify11.0ms (0.4%)

Memory

19.9MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	63
1	29	63
2	48	63
3	77	63
4	105	63
5	122	63
6	133	63

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 (.f64 x x) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) 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 (.f64 x x) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

soundness604.0ms (19.3%)

Memory

-10.5MiB live, 376.8MiB 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	26	105
0	38	100
1	135	100
2	744	100
0	8650	100

Stop Event

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

Compiler

Compiled 95 to 51 computations (46.3% saved)

preprocess52.0ms (1.7%)

Memory: -5.7MiB live, 40.1MiB allocated
Remove: (abs x)
Compiler: Compiled 164 to 76 computations (53.7% 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	26	123
0	38	123
1	60	123
2	130	123
3	260	123
4	398	123
5	439	123
6	442	123
0	442	123

Iter	Nodes	Cost
0	13	63
0	18	63
1	38	57
2	115	51
3	364	51
4	679	51
5	831	51
6	852	51
7	856	51
8	864	51
9	871	51
10	875	51
0	875	49

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	26	123
0	38	123
1	60	123
2	130	123
3	260	123
4	398	123
5	439	123
6	442	123
0	442	123

Iter	Nodes	Cost
0	13	63
0	18	63
1	38	57
2	115	51
3	364	51
4	679	51
5	831	51
6	852	51
7	856	51
8	864	51
9	871	51
10	875	51
0	875	49

start0.0ms (0%)

analyze0.0ms (0%)

sample710.0ms (22.7%)

explain91.0ms (2.9%)

preprocess16.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize51.0ms (1.6%)

series2.0ms (0.1%)

simplify121.0ms (3.9%)

rewrite172.0ms (5.5%)

eval41.0ms (1.3%)

prune7.0ms (0.2%)

simplify11.0ms (0.3%)

localize60.0ms (1.9%)

series7.0ms (0.2%)

simplify103.0ms (3.3%)

rewrite134.0ms (4.3%)

eval46.0ms (1.5%)

prune6.0ms (0.2%)

simplify107.0ms (3.4%)

localize64.0ms (2%)

series5.0ms (0.1%)

simplify105.0ms (3.4%)

rewrite145.0ms (4.7%)

eval50.0ms (1.6%)

prune7.0ms (0.2%)

simplify24.0ms (0.8%)

localize31.0ms (1%)

series4.0ms (0.1%)

simplify92.0ms (2.9%)

rewrite131.0ms (4.2%)

eval22.0ms (0.7%)

prune6.0ms (0.2%)

regimes15.0ms (0.5%)

regimes52.0ms (1.7%)

regimes7.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch0.0ms (0%)

simplify11.0ms (0.4%)

soundness604.0ms (19.3%)

preprocess52.0ms (1.7%)

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

Iter	Nodes	Cost
0	26	123
0	38	123
1	60	123
2	130	123
3	260	123
4	398	123
5	439	123
6	442	123
0	442	123

Iter	Nodes	Cost
0	13	63
0	18	63
1	38	57
2	115	51
3	364	51
4	679	51
5	831	51
6	852	51
7	856	51
8	864	51
9	871	51
10	875	51
0	875	49