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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample756.0ms (12.9%)

Memory

-135.1MiB live, 1 004.6MiB allocated

Samples

562.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 354.0ms

ival-mult: 243.0ms (68.7% of total)

ival-div: 54.0ms (15.3% of total)

ival-sub: 41.0ms (11.6% of total)

exact: 8.0ms (2.3% of total)

ival-true: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess23.0ms (0.4%)

Memory

3.3MiB live, 40.8MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`associate-/l*`
36×	`distribute-lft-neg-in`
36×	`associate-r`
32×	`sub-neg`
30×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	292	14
5	371	14
6	397	14
7	405	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6

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

Symmetry

(abs x)

explain72.0ms (1.2%)

Memory

11.7MiB live, 146.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`	o/n	1	0
↳	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`	overflow	52
↳	`(*.f64 x x)`	overflow	52

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

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

ival-mult: 4.0ms (38.6% of total)

ival-div: 3.0ms (28.9% of total)

ival-sub: 2.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify6.0ms (0.1%)

Memory

-29.8MiB live, 8.7MiB 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 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
✓	cost-diff	128	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Rules

8×	`lower-+.f64`
8×	`lower-+.f32`
6×	`lower-fma.f64`
6×	`lower-/.f32`
6×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	16	18
2	22	18
3	24	18
0	24	16

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

localize19.0ms (0.3%)

Memory

3.8MiB live, 42.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (*.f64 x x) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.6%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (49.6% of total)

ival-div: 2.0ms (33.1% of total)

ival-sub: 1.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

3 → 36

Calls

Call 1

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

Outputs
#<alt -3>
#<alt (- (pow x 2) 3)>
#<alt (- (pow x 2) 3)>
#<alt (- (pow x 2) 3)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

9 calls:

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

rewrite737.0ms (12.6%)

Memory

20.6MiB live, 414.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 168×	`lower-/.f32`
5 166×	`lower-/.f64`
4 318×	`lower-*.f32`
4 316×	`lower-*.f64`
4 062×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	42	15
2	230	15
3	1831	15
0	8685	13

Stop Event

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

Counts

3 → 516

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x x) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (*.f64 x x))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))
(+.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(+.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal -3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal -3 binary64)))) (/.f64 #s(literal 27 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (*.f64 x x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (*.f64 x x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (*.f64 x x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -3 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -3 binary64))))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -3 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -3 binary64))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -3 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 9 binary64))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) (-.f64 #s(literal 3 binary64) (.f64 x x)))
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(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -729 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) #s(literal 6 binary64)))
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(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))
(.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (*.f64 x x) #s(literal 3 binary64))))))
(.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (*.f64 x x) #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 x x #s(literal -3 binary64)))
(.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))
(.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))))) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))))) (/.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (fma.f64 x (neg.f64 x) #s(literal -3 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (/.f64 #s(literal -1/6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (/.f64 #s(literal -1/6 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (*.f64 x x) #s(literal -3 binary64)))))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)

simplify195.0ms (3.3%)

Memory

-40.4MiB live, 252.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 388×	`lower-*.f64`
4 388×	`lower-*.f32`
2 828×	`lower-fma.f64`
2 828×	`lower-fma.f32`
1 846×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	162
1	43	162
2	98	162
3	235	162
4	748	162
5	1583	162
6	2320	162
7	3495	162
8	4221	162
9	5328	162
10	6382	162
11	7111	162
0	8024	144

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval70.0ms (1.2%)

Memory: 11.7MiB live, 166.4MiB allocated
Compiler: Compiled 23 870 to 1 639 computations (93.1% saved)

prune61.0ms (1%)

Memory

18.3MiB live, 178.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	547	5	552
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	548	5	553

Accuracy

100.0%

Counts

553 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	63.4%	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
▶	45.2%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
▶	45.1%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
▶	54.7%	#s(literal -1/2 binary64)

Compiler

Compiled 102 to 58 computations (43.1% saved)

simplify596.0ms (10.2%)

Memory

16.9MiB live, 252.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64))
✓	cost-diff	128	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
✓	cost-diff	640	(fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	384	(/.f64 (*.f64 x x) #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	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))

Rules

5 088×	`lower-fma.f32`
5 080×	`lower-fma.f64`
3 144×	`lower-*.f32`
3 132×	`lower-*.f64`
1 178×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	133
0	37	119
1	77	110
2	167	102
3	330	102
4	463	102
5	736	102
6	1392	102
7	2374	102
8	3273	102
9	4077	102
10	5077	102
11	5443	102
12	5556	102
13	5687	102
14	5719	102
15	5815	102
16	6269	102
17	6363	102
18	6363	102
19	7005	102
20	7285	102
21	7365	102
22	7573	102
23	7577	102
24	7577	102
25	7577	102
26	7577	102
27	7581	102
28	7581	102
29	7649	102
30	7653	102
31	7653	102
0	7653	98

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#s(literal -1/2 binary64)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64))
(.f64 x (.f64 x (*.f64 x x)))
x
(.f64 x (.f64 x x))
(*.f64 x x)
(neg.f64 (*.f64 x x))
#s(literal 27 binary64)
(.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))
#s(literal -6 binary64)
(fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
#s(literal 3 binary64)
#s(literal 9 binary64)

Outputs
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#s(literal -1/2 binary64)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)) (.f64 #s(literal 6 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (*.f64 x x)))
x
(.f64 x (.f64 x x))
(*.f64 x x)
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
#s(literal 27 binary64)
(.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))
(fma.f64 x (.f64 #s(literal -6 binary64) (.f64 x (fma.f64 x x #s(literal 3 binary64)))) #s(literal -54 binary64))
#s(literal -6 binary64)
(fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
(fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
#s(literal 3 binary64)
#s(literal 9 binary64)

localize79.0ms (1.3%)

Memory

0.5MiB live, 121.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
✓	accuracy	68.4%	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))

Samples

51.0ms

256×

valid

Compiler

Compiled 145 to 26 computations (82.1% saved)

Precisions

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

ival-mult: 15.0ms (39.3% of total)

ival-add: 14.0ms (36.7% of total)

const: 4.0ms (10.5% of total)

ival-div: 3.0ms (7.9% of total)

exact: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

series21.0ms (0.4%)

Memory

-29.1MiB live, 9.6MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (.f64 (.f64 x x) #s(literal 1/6 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 (*.f64 x x) #s(literal 6 binary64))>
#<alt (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))>
#<alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))>
#<alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64))>
#<alt (.f64 x (.f64 x (*.f64 x x)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))>

Outputs
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt 9>
#<alt (+ 9 (* 3 (pow x 2)))>
#<alt (+ 9 (* (pow x 2) (+ 3 (pow x 2))))>
#<alt (+ 9 (* (pow x 2) (+ 3 (pow x 2))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 27>
#<alt (+ 27 (* -1 (pow x 6)))>
#<alt (+ 27 (* -1 (pow x 6)))>
#<alt (+ 27 (* -1 (pow x 6)))>
#<alt (* -1 (pow x 6))>
#<alt (* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))>
#<alt (* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))>
#<alt (* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))>
#<alt (* -1 (pow x 6))>
#<alt (* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))>
#<alt (* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))>
#<alt (* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt 9>
#<alt (+ 9 (* 3 (pow x 2)))>
#<alt (+ 9 (* 3 (pow x 2)))>
#<alt (+ 9 (* 3 (pow x 2)))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt -54>
#<alt (- (* -18 (pow x 2)) 54)>
#<alt (- (* (pow x 2) (- (* -6 (pow x 2)) 18)) 54)>
#<alt (- (* (pow x 2) (- (* -6 (pow x 2)) 18)) 54)>
#<alt (* -6 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 6 (* 18 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 18 (* 54 (/ 1 (pow x 2)))) (pow x 2))) 6))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 18 (* 54 (/ 1 (pow x 2)))) (pow x 2))) 6))>
#<alt (* -6 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 6 (* 18 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 18 (* 54 (/ 1 (pow x 2)))) (pow x 2))) 6))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 18 (* 54 (/ 1 (pow x 2)))) (pow x 2))) 6))>

Calls

36 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(* x 1/6)
1.0ms	x	@	inf	(/ (+ (* (* x (* x (* x x))) (neg (* x x))) 27) (* -6 (+ (* x (* x (* x x))) (+ (* (* x x) 3) 9))))
1.0ms	x	@	inf	(* x 1/6)
1.0ms	x	@	0	(/ (+ (* (* x (* x (* x x))) (neg (* x x))) 27) (* -6 (+ (* x (* x (* x x))) (+ (* (* x x) 3) 9))))
0.0ms	x	@	inf	(+ (* x (* x (* x x))) (+ (* (* x x) 3) 9))

rewrite535.0ms (9.1%)

Memory

6.4MiB live, 476.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 028×	`lower-fma.f32`
12 020×	`lower-fma.f64`
5 318×	`lower-*.f32`
5 306×	`lower-*.f64`
3 372×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	110
0	37	96
1	145	83
2	1082	79
0	8823	76

Stop Event

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

Counts

12 → 541

Calls

Call 1

Inputs
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
(.f64 x (.f64 x x))
(.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))

Outputs
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 x #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/36 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (*.f64 x #s(literal -1/6 binary64)))
(/.f64 x #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 6 binary64) x)))
(/.f64 (neg.f64 x) #s(literal -6 binary64))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 6 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/6 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/6 binary64))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))))
(neg.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) (.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (neg.f64 (.f64 x x)) #s(literal -1/6 binary64))
(.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (neg.f64 x) (.f64 x #s(literal -1/6 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x #s(literal -1/6 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (.f64 (neg.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (neg.f64 (.f64 x x)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 x (neg.f64 (neg.f64 x)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(.f64 (.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))))
(neg.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) (.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (neg.f64 (.f64 x x)) #s(literal -1/6 binary64))
(.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64))) #s(literal -6 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -216 binary64) (.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 36 binary64) (.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (-.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -6 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (fma.f64 x x #s(literal 3 binary64)) #s(literal -54 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 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (fma.f64 x x #s(literal 3 binary64)) #s(literal -54 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64))) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64)))
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(/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64))) #s(literal -6 binary64)) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -216 binary64) (.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)))))) (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 36 binary64) (.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (-.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -6 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (fma.f64 x x #s(literal 3 binary64)) #s(literal -54 binary64)) (.f64 #s(literal -6 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64))))) (neg.f64 (.f64 #s(literal -6 binary64) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal -6 binary64) (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))) (neg.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (fma.f64 x x #s(literal 3 binary64)) #s(literal -54 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 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 (fma.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal -6 binary64))) (neg.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 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 (fma.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -216 binary64))) (fma.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 36 binary64)) (.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -6 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal -157464 binary64)) (fma.f64 (.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (fma.f64 x x #s(literal 3 binary64))) (.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (fma.f64 x x #s(literal 3 binary64))) (-.f64 #s(literal 2916 binary64) (.f64 (.f64 (.f64 #s(literal -6 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 3 binary64))) #s(literal -54 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64))) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal -157464 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64))) #s(literal -6 binary64)) (.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64))) #s(literal -6 binary64)) (-.f64 #s(literal 2916 binary64) (.f64 (.f64 (.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64))) #s(literal -6 binary64)) #s(literal -54 binary64)))))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 36 binary64))) (-.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (fma.f64 x x #s(literal 3 binary64))) (.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (fma.f64 x x #s(literal 3 binary64)))) #s(literal 2916 binary64)) (-.f64 (.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (fma.f64 x x #s(literal 3 binary64))) #s(literal -54 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64))) #s(literal -6 binary64)) (.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64))) #s(literal -6 binary64))) #s(literal 2916 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64))) #s(literal -6 binary64)) #s(literal -54 binary64)))
(.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -6 binary64))
(.f64 #s(literal -6 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(.f64 (fma.f64 (.f64 #s(literal -6 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 3 binary64)) #s(literal -54 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -6 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 3 binary64)) #s(literal -54 binary64)))
(.f64 #s(literal -1 binary64) (fma.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64))) #s(literal 54 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 6 binary64))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -216 binary64) (.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 36 binary64) (.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (-.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) #s(literal -54 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -6 binary64)))))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (fma.f64 x x #s(literal 3 binary64)) #s(literal -54 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 1 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 #s(literal -6 binary64) (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (fma.f64 x x #s(literal 3 binary64)) #s(literal -54 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64))))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64))) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -9 binary64))))

simplify275.0ms (4.7%)

Memory

22.9MiB live, 374.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 058×	`lower-fma.f64`
11 058×	`lower-fma.f32`
2 986×	`lower-*.f64`
2 986×	`lower-*.f32`
1 332×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	791
1	164	782
2	377	778
3	1087	772
4	2666	772
5	5196	772
0	8110	719

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
9
(+ 9 (* 3 (pow x 2)))
(+ 9 (* (pow x 2) (+ 3 (pow x 2))))
(+ 9 (* (pow x 2) (+ 3 (pow x 2))))
(pow x 4)
(* (pow x 4) (+ 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))
(pow x 4)
(* (pow x 4) (+ 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
27
(+ 27 (* -1 (pow x 6)))
(+ 27 (* -1 (pow x 6)))
(+ 27 (* -1 (pow x 6)))
(* -1 (pow x 6))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(* -1 (pow x 6))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
9
(+ 9 (* 3 (pow x 2)))
(+ 9 (* 3 (pow x 2)))
(+ 9 (* 3 (pow x 2)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-54
(- (* -18 (pow x 2)) 54)
(- (* (pow x 2) (- (* -6 (pow x 2)) 18)) 54)
(- (* (pow x 2) (- (* -6 (pow x 2)) 18)) 54)
(* -6 (pow x 4))
(* -1 (* (pow x 4) (+ 6 (* 18 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 18 (* 54 (/ 1 (pow x 2)))) (pow x 2))) 6))
(* (pow x 4) (- (* -1 (/ (+ 18 (* 54 (/ 1 (pow x 2)))) (pow x 2))) 6))
(* -6 (pow x 4))
(* -1 (* (pow x 4) (+ 6 (* 18 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 18 (* 54 (/ 1 (pow x 2)))) (pow x 2))) 6))
(* (pow x 4) (- (* -1 (/ (+ 18 (* 54 (/ 1 (pow x 2)))) (pow x 2))) 6))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
9
#s(literal 9 binary64)
(+ 9 (* 3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
(+ 9 (* (pow x 2) (+ 3 (pow x 2))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))
(+ 9 (* (pow x 2) (+ 3 (pow x 2))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (* 3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)))
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (* 3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)))
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
27
#s(literal 27 binary64)
(+ 27 (* -1 (pow x 6)))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(+ 27 (* -1 (pow x 6)))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(+ 27 (* -1 (pow x 6)))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (pow x 6))
(neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (pow x 6))
(neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
9
#s(literal 9 binary64)
(+ 9 (* 3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
(+ 9 (* 3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
(+ 9 (* 3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
-54
#s(literal -54 binary64)
(- (* -18 (pow x 2)) 54)
(fma.f64 x (*.f64 x #s(literal -18 binary64)) #s(literal -54 binary64))
(- (* (pow x 2) (- (* -6 (pow x 2)) 18)) 54)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64))
(- (* (pow x 2) (- (* -6 (pow x 2)) 18)) 54)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64))
(* -6 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -6 binary64)))
(* -1 (* (pow x 4) (+ 6 (* 18 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 18 (* 54 (/ 1 (pow x 2)))) (pow x 2))) 6))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal -54 binary64) (.f64 x x)) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)))))
(* (pow x 4) (- (* -1 (/ (+ 18 (* 54 (/ 1 (pow x 2)))) (pow x 2))) 6))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal -54 binary64) (.f64 x x)) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)))))
(* -6 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -6 binary64)))
(* -1 (* (pow x 4) (+ 6 (* 18 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 18 (* 54 (/ 1 (pow x 2)))) (pow x 2))) 6))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal -54 binary64) (.f64 x x)) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)))))
(* (pow x 4) (- (* -1 (/ (+ 18 (* 54 (/ 1 (pow x 2)))) (pow x 2))) 6))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal -54 binary64) (.f64 x x)) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)))))

eval111.0ms (1.9%)

Memory: 15.1MiB live, 218.1MiB allocated
Compiler: Compiled 29 482 to 1 969 computations (93.3% saved)

prune76.0ms (1.3%)

Memory

4.6MiB live, 203.1MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	872	3	875
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	873	7	880

Accuracy

100.0%

Counts

880 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	63.4%	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64)))
✓	45.2%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	45.1%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
▶	45.5%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	54.7%	#s(literal -1/2 binary64)

Compiler

Compiled 60 to 38 computations (36.7% saved)

simplify195.0ms (3.3%)

Memory

-30.8MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	cost-diff	384	(/.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64))
✓	cost-diff	128	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)

Rules

2 144×	`lower-fma.f32`
2 136×	`lower-fma.f64`
1 288×	`lower-*.f32`
1 276×	`lower-*.f64`
1 098×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	104
0	38	96
1	76	90
2	160	82
3	277	82
4	324	82
5	402	82
6	596	82
7	983	82
8	1480	82
9	1961	82
10	2803	82
11	3566	82
12	3690	82
13	3748	82
14	3780	82
15	3792	82
16	3933	82
17	3992	82
18	3994	82
19	3994	82
20	3994	82
21	4002	82
0	4002	82

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64))
(.f64 x (.f64 x (*.f64 x x)))
x
(.f64 x (.f64 x x))
(*.f64 x x)
(neg.f64 (*.f64 x x))
#s(literal 27 binary64)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64))
(fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))
(*.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
#s(literal -18 binary64)
#s(literal -54 binary64)
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal -1/2 binary64)

Outputs
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64)))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 54 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (neg.f64 x)))) #s(literal 27 binary64))
(.f64 x (.f64 x (*.f64 x x)))
x
(.f64 x (.f64 x x))
(*.f64 x x)
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
#s(literal 27 binary64)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))) #s(literal -54 binary64))
(fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))
(*.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
#s(literal -18 binary64)
#s(literal -54 binary64)
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(/.f64 x #s(literal 6 binary64))
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 6 binary64)
#s(literal -1/2 binary64)

localize63.0ms (1.1%)

Memory

20.5MiB live, 139.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	100.0%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	68.4%	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))

Samples

40.0ms

256×

valid

Compiler

Compiled 114 to 27 computations (76.3% saved)

Precisions

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

ival-mult: 14.0ms (49% of total)

ival-add: 5.0ms (17.5% of total)

const: 4.0ms (14% of total)

ival-div: 3.0ms (10.5% of total)

exact: 1.0ms (3.5% of total)

ival-neg: 1.0ms (3.5% of total)

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

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

series3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (.f64 (.f64 x #s(literal 1/6 binary64)) x)>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64)))>
#<alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64))>
#<alt (.f64 x (.f64 x (*.f64 x x)))>
#<alt (.f64 x (.f64 x x))>
#<alt (/.f64 x #s(literal 6 binary64))>
#<alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 27>
#<alt (+ 27 (* -1 (pow x 6)))>
#<alt (+ 27 (* -1 (pow x 6)))>
#<alt (+ 27 (* -1 (pow x 6)))>
#<alt (* -1 (pow x 6))>
#<alt (* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))>
#<alt (* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))>
#<alt (* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))>
#<alt (* -1 (pow x 6))>
#<alt (* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))>
#<alt (* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))>
#<alt (* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt -18>
#<alt (- (* -6 (pow x 2)) 18)>
#<alt (- (* -6 (pow x 2)) 18)>
#<alt (- (* -6 (pow x 2)) 18)>
#<alt (* -6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))>
#<alt (* -6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (+ (* (* x (* x (* x x))) (neg (* x x))) 27) (+ (* (* x x) (+ (* x (* x -6)) -18)) -54))
0.0ms	x	@	0	(/ (+ (* (* x (* x (* x x))) (neg (* x x))) 27) (+ (* (* x x) (+ (* x (* x -6)) -18)) -54))
0.0ms	x	@	-inf	(/ (+ (* (* x (* x (* x x))) (neg (* x x))) 27) (+ (* (* x x) (+ (* x (* x -6)) -18)) -54))
0.0ms	x	@	0	(+ (* x (* x -6)) -18)
0.0ms	x	@	inf	(+ (* x (* x -6)) -18)

rewrite377.0ms (6.4%)

Memory

-23.1MiB live, 669.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 124×	`lower-fma.f32`
10 116×	`lower-fma.f64`
6 752×	`lower-*.f32`
6 740×	`lower-*.f64`
3 358×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	73
0	38	65
1	147	55
2	942	51
0	9036	51

Stop Event

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

Counts

9 → 378

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(/.f64 x #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))

Outputs
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) x))
(neg.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -6 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) #s(literal 6 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 x (neg.f64 x)) #s(literal -1/6 binary64))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/6 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) x)))
(/.f64 x #s(literal 6 binary64))
(/.f64 (neg.f64 x) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/6 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) #s(literal -54 binary64))) #s(literal 27 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) #s(literal -54 binary64))) (neg.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) #s(literal -54 binary64))) (neg.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) #s(literal -54 binary64))) #s(literal 27 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (neg.f64 x)))) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))))) #s(literal -157464 binary64))) (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))))))) (.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (neg.f64 x)))) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))))) #s(literal -157464 binary64))) (-.f64 #s(literal 2916 binary64) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) #s(literal -54 binary64))))))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (neg.f64 x)))) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))))) #s(literal -157464 binary64))) (-.f64 #s(literal 2916 binary64) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) #s(literal -54 binary64))))) (.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (neg.f64 x)))) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))))) #s(literal -157464 binary64))) (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))))))))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (neg.f64 x)))) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))))) #s(literal -2916 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))))) (.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (neg.f64 x)))) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))))) #s(literal -2916 binary64))) #s(literal 54 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (neg.f64 x)))) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))))) #s(literal -2916 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -6 binary64)))) (.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (neg.f64 x)))) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))))) #s(literal -2916 binary64))) (fma.f64 x (*.f64 x #s(literal -18 binary64)) #s(literal 54 binary64))))
(+.f64 (.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) #s(literal -54 binary64)))) (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) #s(literal -54 binary64)))))
(+.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) #s(literal -54 binary64)))) (.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) #s(literal -54 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))))) (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (neg.f64 x)))) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))))) #s(literal -157464 binary64)))) (.f64 (-.f64 #s(literal 2916 binary64) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) #s(literal -54 binary64)))) (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (neg.f64 x)))) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))))) #s(literal -157464 binary64)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 324 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36 binary64)))) (neg.f64 (-.f64 #s(literal -18 binary64) (.f64 (.f64 x x) #s(literal -6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36 binary64)) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal 18 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 324 binary64) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal 18 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36 binary64)) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal 18 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36 binary64)) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal 18 binary64))) (fma.f64 (/.f64 #s(literal 324 binary64) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal 18 binary64))) (/.f64 #s(literal 324 binary64) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal 18 binary64))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36 binary64)) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal 18 binary64))) (/.f64 #s(literal 324 binary64) (fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal 18 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36 binary64)) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal 18 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36 binary64)) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal 18 binary64)))) (.f64 (/.f64 #s(literal 324 binary64) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal 18 binary64))) (/.f64 #s(literal 324 binary64) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal 18 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36 binary64)) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal 18 binary64))) (/.f64 #s(literal 324 binary64) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal 18 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -216 binary64)) #s(literal -5832 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 324 binary64) (fma.f64 (.f64 x x) #s(literal -108 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 36 binary64))))))
(.f64 (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -216 binary64)) #s(literal -5832 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 324 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal 108 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))
(.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 36 binary64)) #s(literal -324 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal 18 binary64))))
(.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -216 binary64)) #s(literal -5832 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 324 binary64) (fma.f64 (.f64 x x) #s(literal -108 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 36 binary64)))))))
(.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 36 binary64)) #s(literal -324 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))))
(.f64 (-.f64 #s(literal 324 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -18 binary64) (.f64 (*.f64 x x) #s(literal -6 binary64)))))

simplify205.0ms (3.5%)

Memory

0.6MiB live, 199.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 868×	`lower-*.f64`
3 868×	`lower-*.f32`
2 852×	`lower-fma.f64`
2 852×	`lower-fma.f32`
1 514×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	489
1	81	480
2	192	480
3	485	480
4	855	480
5	1425	480
6	2130	480
7	2894	480
8	4209	480
9	5680	480
10	6565	480
11	7688	480
0	8101	453

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
27
(+ 27 (* -1 (pow x 6)))
(+ 27 (* -1 (pow x 6)))
(+ 27 (* -1 (pow x 6)))
(* -1 (pow x 6))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(* -1 (pow x 6))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
-18
(- (* -6 (pow x 2)) 18)
(- (* -6 (pow x 2)) 18)
(- (* -6 (pow x 2)) 18)
(* -6 (pow x 2))
(* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))
(* -6 (pow x 2))
(* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
27
#s(literal 27 binary64)
(+ 27 (* -1 (pow x 6)))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(+ 27 (* -1 (pow x 6)))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(+ 27 (* -1 (pow x 6)))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(* -1 (pow x 6))
(neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(* -1 (pow x 6))
(neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(* (pow x 6) (- (* 27 (/ 1 (pow x 6))) 1))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
-18
#s(literal -18 binary64)
(- (* -6 (pow x 2)) 18)
(fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))
(- (* -6 (pow x 2)) 18)
(fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))
(- (* -6 (pow x 2)) 18)
(fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))
(* -6 (pow x 2))
(.f64 x (.f64 x #s(literal -6 binary64)))
(* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))
(* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))
(* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))
(* -6 (pow x 2))
(.f64 x (.f64 x #s(literal -6 binary64)))
(* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))
(* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))
(* -1 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -6 binary64)) #s(literal -18 binary64))

eval69.0ms (1.2%)

Memory: -5.7MiB live, 74.0MiB allocated
Compiler: Compiled 18 470 to 1 172 computations (93.7% saved)

prune48.0ms (0.8%)

Memory

-2.3MiB live, 119.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	485	1	486
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	486	7	493

Accuracy

100.0%

Counts

493 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	63.4%	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64)))
✓	45.2%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
▶	45.5%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	45.1%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	45.5%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	54.7%	#s(literal -1/2 binary64)

Compiler

Compiled 59 to 37 computations (37.3% saved)

simplify4.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 (/.f64 x #s(literal 6 binary64)) x)

Rules

6×	`lower-*.f32`
4×	`lower-*.f64`
4×	`lower-/.f32`
2×	`*-commutative`
2×	`lift-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
0	9	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.3%)

Memory

-9.5MiB live, 29.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	99.9%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)

Samples

9.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (53.4% of total)

ival-mult: 1.0ms (26.7% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 x #s(literal 6 binary64)) x)>
#<alt (/.f64 x #s(literal 6 binary64))>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>

Calls

6 calls:

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

rewrite245.0ms (4.2%)

Memory

4.9MiB live, 321.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 048×	`lower-fma.f64`
3 048×	`lower-fma.f32`
2 836×	`lower-*.f32`
2 834×	`lower-*.f64`
2 542×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	19	8
2	61	8
3	223	8
4	1015	8
5	6904	8
0	9082	8

Stop Event

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

Counts

2 → 422

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(exp.f64 (.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(exp.f64 (log.f64 (.f64 x (.f64 x #s(literal 1/6 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x #s(literal -6 binary64))) (.f64 x (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal -1/6 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x (neg.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -6 binary64) x)) #s(literal 0 binary64))
(fma.f64 (.f64 x (neg.f64 x)) (/.f64 x (.f64 x #s(literal -6 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x (neg.f64 x)) (/.f64 (neg.f64 x) (.f64 x #s(literal 6 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x (neg.f64 x)) (/.f64 (.f64 x #s(literal -1/6 binary64)) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -6 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (neg.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -6 binary64) x)) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (neg.f64 x))) (/.f64 x (.f64 #s(literal -6 binary64) (.f64 x x))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (neg.f64 x))) (/.f64 (neg.f64 x) (.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (neg.f64 x))) (/.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) (.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) (.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 6 binary64) x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) (.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (sqrt.f64 (.f64 x #s(literal 1/6 binary64))))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -6 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x #s(literal 1/6 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) (/.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64)))) (.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64)))) (/.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/6 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (/.f64 #s(literal 6 binary64) x))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))))) (/.f64 #s(literal 6 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 6 binary64) x)))) (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 x (.f64 x (neg.f64 x)))) (.f64 x (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 x (.f64 x x))) (.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (neg.f64 x))))) (.f64 x (neg.f64 x)) #s(literal 0 binary64))
(neg.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 6 binary64) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (.f64 x (.f64 x (*.f64 x (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -6 binary64)) (.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 6 binary64) x) x))
(/.f64 (.f64 x x) (.f64 (/.f64 #s(literal -6 binary64) x) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -6 binary64))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 6 binary64)))
(/.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x (neg.f64 x))))
(/.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 6 binary64) x) (.f64 x x)))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) (*.f64 x #s(literal -6 binary64)))
(/.f64 (.f64 x (.f64 x (.f64 x (neg.f64 x)))) (.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (.f64 x (.f64 x (.f64 x (neg.f64 x)))) (neg.f64 (.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 (.f64 x (.f64 x (.f64 x (neg.f64 x)))) (.f64 #s(literal 6 binary64) (*.f64 x (neg.f64 x))))
(/.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 6 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 #s(literal -6 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal -6 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x #s(literal -6 binary64)) (.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal 1/36 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x #s(literal -6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal -1/6 binary64))))
(/.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) #s(literal -6 binary64)) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) (.f64 x x))) (/.f64 #s(literal -6 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -6 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x #s(literal -6 binary64))) (.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x (neg.f64 x)))) (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 6 binary64)))
(/.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (.f64 x (.f64 x #s(literal -1/6 binary64))) (.f64 #s(literal 0 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 x (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/6 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x (neg.f64 x))) (neg.f64 x))
(/.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))
(/.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (neg.f64 x)))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 x #s(literal 1/6 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x)) (neg.f64 x))
(/.f64 (.f64 (.f64 x (neg.f64 x)) (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))
(/.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 x (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) (.f64 (.f64 x x) #s(literal 1/36 binary64)))
(/.f64 (.f64 x (neg.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (.f64 x #s(literal -1/6 binary64)))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (neg.f64 x))))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 #s(literal -1/6 binary64) (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (neg.f64 x)))) #s(literal 1 binary64)) (.f64 #s(literal -6 binary64) (.f64 x x)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x)
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x))
(/.f64 (.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) x) x)
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))) x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))
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(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (*.f64 x (neg.f64 x))) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x (neg.f64 x)))) (*.f64 x (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))))) (/.f64 #s(literal 6 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 6 binary64) x)))) (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 x (.f64 x (.f64 x (neg.f64 x))))) (*.f64 x (neg.f64 x)) #s(literal 0 binary64))
(neg.f64 (*.f64 x #s(literal -1/6 binary64)))
(/.f64 x #s(literal 6 binary64))
(/.f64 x (*.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (neg.f64 x) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (neg.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x x) (.f64 x #s(literal 6 binary64)))
(/.f64 (.f64 x x) (.f64 #s(literal -6 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(/.f64 (.f64 x (neg.f64 x)) (.f64 x #s(literal -6 binary64)))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 6 binary64) (.f64 x x)))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 #s(literal -6 binary64) (.f64 x x))))
(/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -6 binary64) (.f64 x (neg.f64 x))))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 #s(literal -6 binary64) (.f64 x x)))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) (neg.f64 (.f64 #s(literal 6 binary64) (.f64 x x))))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 #s(literal 6 binary64) (.f64 x (neg.f64 x))))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 (.f64 x #s(literal -6 binary64)) x))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 #s(literal -1 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (sqrt.f64 (/.f64 #s(literal 6 binary64) x)))
(/.f64 (.f64 x (.f64 x (.f64 x (neg.f64 x)))) (.f64 x (.f64 #s(literal -6 binary64) (.f64 x x))))
(/.f64 (.f64 x (.f64 x (.f64 x (neg.f64 x)))) (.f64 (.f64 x #s(literal -6 binary64)) (.f64 x x)))
(/.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (neg.f64 x))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 #s(literal 6 binary64) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x #s(literal -6 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))) (.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64))) (*.f64 x #s(literal -1/6 binary64)))
(/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 x x))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))
(/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) (neg.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)) (.f64 x (neg.f64 x)))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (neg.f64 x)))) (.f64 x (neg.f64 x)))
(/.f64 (.f64 (.f64 x (.f64 x (neg.f64 x))) #s(literal 1/6 binary64)) (.f64 x (neg.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) (.f64 (.f64 x x) #s(literal 1/36 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (.f64 x #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/36 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64))) #s(literal 1 binary64)) (.f64 x #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (.f64 x (neg.f64 x)))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 x (pow.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 x (.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))))
(.f64 x (/.f64 (.f64 x #s(literal 1/6 binary64)) x))
(.f64 x (/.f64 (neg.f64 x) (.f64 x #s(literal -6 binary64))))
(.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/6 binary64))
(.f64 (neg.f64 x) (.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 x) (/.f64 x (.f64 x #s(literal -6 binary64))))
(.f64 (neg.f64 x) (/.f64 (.f64 x #s(literal -1/6 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -6 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -6 binary64))))
(.f64 (.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/6 binary64)))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 x (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -6 binary64)))
(*.f64 #s(literal -1/6 binary64) (neg.f64 x))
(.f64 (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))
(.f64 (.f64 x (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -6 binary64) (*.f64 x x))))
(.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))
(.f64 (.f64 x (.f64 x (neg.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -6 binary64)))
(.f64 (.f64 x (.f64 x (neg.f64 x))) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) (.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) (/.f64 (.f64 x (sqrt.f64 (.f64 x #s(literal 1/6 binary64)))) x))
(.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 6 binary64)))
(.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/6 binary64)))))
(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 x (sqrt.f64 (.f64 x #s(literal 1/6 binary64)))) (/.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) x))
(.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64))))
(.f64 (neg.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 #s(literal -6 binary64) x))
(.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))))
(.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) (/.f64 (.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) x))
(.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64)))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (pow.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) x)
(.f64 (.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64))) (neg.f64 x))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal 1/6 binary64))))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x x)) x)
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (neg.f64 x))) (neg.f64 x))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x (neg.f64 x)))) (.f64 x (neg.f64 x)))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) (.f64 x x))
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))))) (/.f64 #s(literal 6 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 6 binary64) x)))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 x (.f64 x (.f64 x (neg.f64 x))))) (.f64 x (neg.f64 x)))

simplify6.0ms (0.1%)

Memory

8.1MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`lower-*.f64`
14×	`lower-*.f32`
4×	`*-commutative`
2×	`lower-pow.f64`
2×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	9	96
2	11	96
0	11	96

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

eval76.0ms (1.3%)

Memory: 6.6MiB live, 79.5MiB allocated
Compiler: Compiled 5 682 to 922 computations (83.8% saved)

prune247.0ms (4.2%)

Memory

10.0MiB live, 94.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	446	0	446
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	446	7	453

Accuracy

100.0%

Counts

453 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	63.4%	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64)))
✓	45.2%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	45.5%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	45.1%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	45.5%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	54.7%	#s(literal -1/2 binary64)

Compiler

Compiled 154 to 70 computations (54.5% saved)

regimes14.0ms (0.2%)

Memory

-14.9MiB live, 23.8MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -6 binary64)) #s(literal -18 binary64)) #s(literal -54 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))

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

Calls

4 calls:

4.0ms	(*.f64 x x)
3.0ms	x
3.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
3.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
100.0%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes9.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	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
99.9%	1	`x`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes8.0ms (0.1%)

Memory

-24.9MiB live, 13.8MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.3%	2	`x`
98.3%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.3%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.3%	2	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)

Outputs
#s(literal -1/2 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.7%	1	`x`
54.7%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
54.7%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
54.7%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.03508863228701995	1009.8689213912608

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify5.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	15	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/72057594037927936 binary64)) #s(literal -1/2 binary64) (.f64 (*.f64 x #s(literal 1/6 binary64)) x))
#s(literal -1/2 binary64)

Outputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/72057594037927936 binary64)) #s(literal -1/2 binary64) (.f64 (*.f64 x #s(literal 1/6 binary64)) x))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/72057594037927936 binary64)) #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
#s(literal -1/2 binary64)

soundness612.0ms (10.4%)

Memory

-26.2MiB live, 376.1MiB allocated

Rules

12 028×	`lower-fma.f32`
12 020×	`lower-fma.f64`
5 318×	`lower-*.f32`
5 306×	`lower-*.f64`
5 168×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	42	15
2	230	15
3	1831	15
0	8685	13
0	19	162
1	43	162
2	98	162
3	235	162
4	748	162
5	1583	162
6	2320	162
7	3495	162
8	4221	162
9	5328	162
10	6382	162
11	7111	162
0	8024	144
0	21	110
0	37	96
1	145	83
2	1082	79
0	8823	76

Stop Event

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

Compiler

Compiled 63 to 40 computations (36.5% saved)

preprocess32.0ms (0.6%)

Memory: 0.2MiB live, 37.5MiB allocated
Remove: (abs x)
Compiler: Compiled 82 to 48 computations (41.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	292	14
5	371	14
6	397	14
7	405	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	292	14
5	371	14
6	397	14
7	405	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6

analyze0.0ms (0%)

sample756.0ms (12.9%)

preprocess23.0ms (0.4%)

explain72.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize19.0ms (0.3%)

series2.0ms (0%)

rewrite737.0ms (12.6%)

simplify195.0ms (3.3%)

eval70.0ms (1.2%)

prune61.0ms (1%)

simplify596.0ms (10.2%)

localize79.0ms (1.3%)

series21.0ms (0.4%)

rewrite535.0ms (9.1%)

simplify275.0ms (4.7%)

eval111.0ms (1.9%)

prune76.0ms (1.3%)

simplify195.0ms (3.3%)

localize63.0ms (1.1%)

series3.0ms (0.1%)

rewrite377.0ms (6.4%)

simplify205.0ms (3.5%)

eval69.0ms (1.2%)

prune48.0ms (0.8%)

simplify4.0ms (0.1%)

localize15.0ms (0.3%)

series0.0ms (0%)

rewrite245.0ms (4.2%)

simplify6.0ms (0.1%)

eval76.0ms (1.3%)

prune247.0ms (4.2%)

regimes14.0ms (0.2%)

regimes9.0ms (0.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

soundness612.0ms (10.4%)

preprocess32.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	292	14
5	371	14
6	397	14
7	405	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6