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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample945.0ms (29.1%)

Memory

31.7MiB live, 1 062.4MiB allocated

Samples

558.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 350.0ms

ival-mult: 218.0ms (62.4% of total)

ival-sub: 60.0ms (17.2% of total)

ival-div: 53.0ms (15.2% of total)

exact: 9.0ms (2.6% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain154.0ms (4.8%)

Memory

-6.9MiB live, 187.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

114.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sub: 20.0ms (47.4% of total)

ival-div: 17.0ms (40.3% of total)

ival-mult: 4.0ms (9.5% of total)

exact: 1.0ms (2.4% of total)

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

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

preprocess20.0ms (0.6%)

Memory

9.7MiB live, 54.1MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.8MiB 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)

simplify8.0ms (0.2%)

Memory

-26.1MiB live, 21.3MiB 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)

localize18.0ms (0.5%)

Memory

-16.0MiB live, 40.5MiB 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	0.07421875	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (44.3% of total)

ival-div: 2.0ms (29.6% of total)

ival-sub: 1.0ms (14.8% 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

4.5MiB live, 4.5MiB allocated

Counts

3 → 8

Calls

Call 1

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

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

Calls

3 calls:

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

simplify90.0ms (2.8%)

Memory

23.7MiB live, 161.7MiB 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))

rewrite145.0ms (4.5%)

Memory

-1.7MiB live, 247.9MiB 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))))

eval28.0ms (0.8%)

Memory: -27.6MiB live, 64.4MiB allocated
Compiler: Compiled 7 183 to 760 computations (89.4% saved)

prune6.0ms (0.2%)

Memory

22.6MiB live, 22.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	194	6	200
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	195	6	201

Accuracy

100.0%

Counts

201 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.0%	(/.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)))
	61.8%	(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 9 binary64))) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 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)))
▶	48.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	53.0%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 186 to 122 computations (34.4% saved)

simplify11.0ms (0.3%)

Memory

-21.6MiB live, 25.6MiB 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	(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))
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	(*.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	123
0	38	123
1	60	123
2	130	123
3	259	123
4	398	123
5	440	123
6	443	123
0	443	123

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#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)
#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)
(/.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)
(/.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
#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)
#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)
(/.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)
(/.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)

localize53.0ms (1.6%)

Memory

9.5MiB live, 109.9MiB 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	0.078125	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	18.111847843149942	(/.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	(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	0.07421875	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.21484375	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	32.89670479126342	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	30.111497015250347	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 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	0.04296875	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
accuracy	0.34375	(*.f64 #s(literal 1/6 binary64) x)

Samples

40.0ms

256×

valid

Compiler

Compiled 105 to 23 computations (78.1% saved)

Precisions

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

ival-mult: 10.0ms (38.5% of total)

ival-div: 3.0ms (11.6% of total)

ival-add: 3.0ms (11.6% of total)

const: 3.0ms (11.6% of total)

ival-pow: 3.0ms (11.6% of total)

ival-sub: 2.0ms (7.7% of total)

exact: 1.0ms (3.9% of total)

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

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

series7.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

14 → 17

Calls

Call 1

Inputs
#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(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)
(/.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))
(/.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)
(* 1/6 x)
(* 1/6 (pow x 2))
(pow x 2)
-3
(- (pow x 2) 3)
-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) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (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) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (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) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (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) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (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) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (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) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))

simplify94.0ms (2.9%)

Memory

-6.1MiB live, 85.6MiB 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	2241	71
5	4540	71
6	6202	71
7	6747	71
0	8147	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)
(* 1/6 x)
(* 1/6 (pow x 2))
(pow x 2)
-3
(- (pow x 2) 3)
-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))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
-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))

rewrite152.0ms (4.7%)

Memory

-0.5MiB live, 185.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	105
0	38	100
1	135	100
2	744	100
0	8661	100

Stop Event

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

Counts

14 → 340

Calls

Call 1

Inputs
#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(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)
(/.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))
(/.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
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #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 (-.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 #s(literal 1/6 binary64) x) x #s(literal -1/2 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 (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 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/216 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 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/216 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 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/216 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 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/216 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 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/216 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 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/216 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 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/216 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 (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)))))
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(.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)))

eval111.0ms (3.4%)

Memory: -36.7MiB live, 91.4MiB allocated
Compiler: Compiled 9 601 to 1 298 computations (86.5% saved)

prune6.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	347	3	350
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	350	6	356

Accuracy

100.0%

Counts

356 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.0%	(/.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)))
✓	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)))
✓	48.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	48.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	53.0%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 77 to 58 computations (24.7% saved)

simplify61.0ms (1.9%)

Memory

-0.5MiB live, 43.8MiB 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)

localize79.0ms (2.4%)

Memory

3.2MiB live, 134.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.078125	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	0.146816259768442	(.f64 (.f64 x x) (*.f64 x x))
accuracy	18.111847843149942	(/.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	0.09375	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0.09765625	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.34375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	32.89670479126342	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Samples

68.0ms

256×

valid

Compiler

Compiled 91 to 20 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 12.0ms (37.9% of total)

ival-mult: 9.0ms (28.4% of total)

const: 4.0ms (12.6% of total)

ival-div: 3.0ms (9.5% of total)

ival-sub: 2.0ms (6.3% of total)

exact: 1.0ms (3.2% of total)

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

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

series5.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB 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))

simplify109.0ms (3.4%)

Memory

-20.8MiB live, 123.9MiB 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))

rewrite131.0ms (4%)

Memory

26.4MiB live, 216.8MiB 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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eval45.0ms (1.4%)

Memory: -23.3MiB live, 67.6MiB allocated
Compiler: Compiled 8 772 to 1 181 computations (86.5% saved)

prune6.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB 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
▶	16.5%	(/.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)))
✓	48.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	48.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	53.0%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 84 to 62 computations (26.2% saved)

simplify45.0ms (1.4%)

Memory

-25.1MiB live, 22.1MiB 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)

localize58.0ms (1.8%)

Memory

-6.8MiB live, 42.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.146816259768442	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.15234375	(.f64 (.f64 x x) #s(literal 6 binary64))
accuracy	18.111847843149942	(/.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	32.310599373591415	#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: 11.0ms

ival-mult: 6.0ms (56.6% of total)

ival-div: 2.0ms (18.9% of total)

ival-sub: 1.0ms (9.4% of total)

ival-add: 1.0ms (9.4% 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

5.3MiB live, 5.3MiB 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))

simplify91.0ms (2.8%)

Memory

19.7MiB live, 107.6MiB 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))

rewrite125.0ms (3.8%)

Memory

-6.8MiB live, 138.7MiB 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)))

eval26.0ms (0.8%)

Memory: 13.6MiB live, 58.8MiB allocated
Compiler: Compiled 5 099 to 568 computations (88.9% saved)

prune10.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB 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
✓	16.5%	(/.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)))
✓	48.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	48.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	53.0%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 250 to 109 computations (56.4% saved)

regimes39.0ms (1.2%)

Memory

-3.8MiB live, 96.8MiB allocated

Counts

11 → 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)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 9 binary64))) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 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:

16.0ms	(*.f64 x x)
9.0ms	x
9.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
5.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes12.0ms (0.4%)

Memory

-4.5MiB live, 41.3MiB 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:

4.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.7%	2	`(*.f64 x x)`
99.7%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.7%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.7%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes8.0ms (0.2%)

Memory

-20.4MiB live, 26.5MiB 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:

3.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
53.0%	1	`(*.f64 x x)`
53.0%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
53.0%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
53.0%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch26.0ms (0.8%)

Memory

4.9MiB live, 51.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.001799076955506721	16724627.857767414

Samples

13.0ms

160×

valid

Compiler

Compiled 230 to 210 computations (8.7% saved)

Precisions

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

ival-div: 3.0ms (40.5% of total)

ival-mult: 2.0ms (27% of total)

ival-sub: 1.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify18.0ms (0.6%)

Memory

-12.4MiB live, 42.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	49
1	24	49
2	43	49
3	72	49
4	100	49
5	117	49
6	128	49

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal 7746191359077253/4503599627370496 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

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

(if (<=.f64 x #s(literal 7746191359077253/4503599627370496 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))

soundness474.0ms (14.6%)

Memory

34.9MiB live, 267.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	105
0	38	100
1	135	100
2	744	100
0	8661	100
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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 75 to 40 computations (46.7% saved)

preprocess25.0ms (0.8%)

Memory: -0.5MiB live, 46.0MiB allocated
Remove: (abs x)
Compiler: Compiled 140 to 68 computations (51.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	26	123
0	38	123
1	60	123
2	130	123
3	259	123
4	398	123
5	440	123
6	443	123
0	443	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	259	123
4	398	123
5	440	123
6	443	123
0	443	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%)

sample945.0ms (29.1%)

explain154.0ms (4.8%)

preprocess20.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.2%)

localize18.0ms (0.5%)

series2.0ms (0.1%)

simplify90.0ms (2.8%)

rewrite145.0ms (4.5%)

eval28.0ms (0.8%)

prune6.0ms (0.2%)

simplify11.0ms (0.3%)

localize53.0ms (1.6%)

series7.0ms (0.2%)

simplify94.0ms (2.9%)

rewrite152.0ms (4.7%)

eval111.0ms (3.4%)

prune6.0ms (0.2%)

simplify61.0ms (1.9%)

localize79.0ms (2.4%)

series5.0ms (0.1%)

simplify109.0ms (3.4%)

rewrite131.0ms (4%)

eval45.0ms (1.4%)

prune6.0ms (0.2%)

simplify45.0ms (1.4%)

localize58.0ms (1.8%)

series4.0ms (0.1%)

simplify91.0ms (2.8%)

rewrite125.0ms (3.8%)

eval26.0ms (0.8%)

prune10.0ms (0.3%)

regimes39.0ms (1.2%)

regimes12.0ms (0.4%)

regimes8.0ms (0.2%)

bsearch26.0ms (0.8%)

simplify18.0ms (0.6%)

soundness474.0ms (14.6%)

preprocess25.0ms (0.8%)

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	259	123
4	398	123
5	440	123
6	443	123
0	443	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