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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample727.0ms (12.8%)

Memory

7.8MiB live, 980.0MiB allocated

Samples

380.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-mult: 72.0ms (38.5% of total)

ival-div: 60.0ms (32.1% of total)

ival-sub: 39.0ms (20.8% of total)

exact: 8.0ms (4.3% of total)

ival-true: 5.0ms (2.7% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess18.0ms (0.3%)

Memory

24.9MiB live, 24.9MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	33	21
2	71	21
3	168	21
4	294	21
5	372	21
6	398	21
7	406	21
0	6	7
1	13	7
2	19	7
3	21	7
0	21	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- (* x x) 3) 6)

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

Call 2

Inputs
(/ (- (* x x) 3) 6)
(/ (- (* (neg x) (neg x)) 3) 6)
(neg (/ (- (* (neg x) (neg x)) 3) 6))

Outputs
(/ (- (* x x) 3) 6)
(+ (* x (* x 1/6)) -1/2)
(/ (- (* (neg x) (neg x)) 3) 6)
(+ (* x (* x 1/6)) -1/2)
(neg (/ (- (* (neg x) (neg x)) 3) 6))
(+ 1/2 (* x (* x -1/6)))

Symmetry

(abs x)

explain100.0ms (1.8%)

Memory

-4.6MiB live, 114.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

40.0ms

512×

valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (36.6% of total)

ival-mult: 4.0ms (36.6% of total)

ival-sub: 2.0ms (18.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
✓	cost-diff	128	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`
6×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	13	18
2	19	18
3	21	18
0	21	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (* x x) 3) 6)
(- (* x x) 3)
(* x x)
x
3
6

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

localize23.0ms (0.4%)

Memory

9.5MiB live, 44.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 (*.f64 x x) #s(literal 3 binary64))
✓	accuracy	99.9%	(/.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-div: 2.0ms (34.3% of total)

ival-mult: 2.0ms (34.3% of total)

ival-sub: 1.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (- (* x x) 3)>
#<alt (/ (- (* x x) 3) 6)>
#<alt (* 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)

rewrite472.0ms (8.3%)

Memory

-55.7MiB live, 729.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 168×	`/-lowering-/.f32`
5 168×	`/-lowering-/.f64`
4 318×	`-lowering-.f32`
4 318×	`-lowering-.f64`
4 062×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	39	15
2	227	15
3	1832	15
0	8685	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 516

Calls

Call 1

Inputs
(- (* x x) 3)
(/ (- (* x x) 3) 6)
(* x x)

Outputs
(+.f64 (*.f64 x x) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (*.f64 x x))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x 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 (-.f64 #s(literal 0 binary64) (*.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 (.f64 x 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 (.f64 x 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 (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #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 (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x 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 (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #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 (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x 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 (.f64 x x)) (.f64 x (.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (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 (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #s(literal 729 binary64)))) (neg.f64 (-.f64 #s(literal 0 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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #s(literal 729 binary64)))) (neg.f64 (-.f64 #s(literal 0 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 (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (neg.f64 (-.f64 #s(literal 0 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))) (neg.f64 (-.f64 #s(literal 0 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 x (.f64 x 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 (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #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 (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x 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 (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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 (.f64 x 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 x) (.f64 (.f64 x (.f64 x 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 (-.f64 #s(literal 0 binary64) (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 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64))) (neg.f64 (-.f64 #s(literal 0 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))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (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)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal -3 binary64))))) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
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(.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)) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 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 #s(literal 0 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)) (-.f64 #s(literal 0 binary64) (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))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 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 (fma.f64 (.f64 x x) (.f64 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 (-.f64 #s(literal 0 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)) (fma.f64 (.f64 x x) (.f64 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 (-.f64 #s(literal 0 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)) (fma.f64 (.f64 x x) (.f64 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 (-.f64 #s(literal 0 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)) (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 (-.f64 #s(literal 0 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)) #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 (-.f64 #s(literal 0 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 0 binary64) (fma.f64 (.f64 x x) (.f64 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 (-.f64 #s(literal 0 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 0 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))))
(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)

simplify220.0ms (3.9%)

Memory

8.1MiB live, 412.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 388×	`-lowering-.f32`
4 388×	`-lowering-.f64`
2 828×	`accelerator-lowering-fma.f32`
2 828×	`accelerator-lowering-fma.f64`
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)
(fma.f64 x x #s(literal 0 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) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 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) (- 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 (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval71.0ms (1.3%)

Memory: 28.1MiB live, 183.0MiB allocated
Compiler: Compiled 24 103 to 1 649 computations (93.2% saved)

prune71.0ms (1.2%)

Memory

-22.8MiB live, 175.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	545	7	552
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	546	7	553

Accuracy

100.0%

Counts

553 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
▶	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
	63.1%	(/.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)))
	63.1%	(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
▶	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
▶	51.3%	#s(literal -1/2 binary64)

Compiler

Compiled 132 to 88 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
✓	cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.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))
✓	cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

Rules

18×	`-lowering-.f32`
18×	`-lowering-.f64`
10×	`accelerator-lowering-fma.f32`
10×	`accelerator-lowering-fma.f64`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	27	65
2	30	65
0	30	58

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize54.0ms (1%)

Memory

-15.4MiB live, 141.7MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal -3 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
✓	accuracy	99.1%	(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	accuracy	99.9%	(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))
✓	accuracy	100.0%	(fma.f64 x x #s(literal -3 binary64))
✓	accuracy	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

Samples

33.0ms

256×

valid

Compiler

Compiled 62 to 18 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 6.0ms (32.3% of total)

ival-div: 5.0ms (26.9% of total)

ival-add: 3.0ms (16.2% of total)

const: 3.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (/ (+ (* x x) -3) 6)>
#<alt (+ (* x x) -3)>
#<alt (+ (* (* x 1/6) x) -1/2)>
#<alt (* x 1/6)>
#<alt (+ (* (* x x) 1/6) -1/2)>
#<alt (* x x)>
#<alt (/ 1 (/ 6 (+ (* x x) -3)))>
#<alt (/ 6 (+ (* x x) -3))>

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 -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 (* 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 (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 -1/2>
#<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 -2>
#<alt (- (* -2/3 (pow x 2)) 2)>
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))>

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x 1/6)
0.0ms	x	@	inf	(* x 1/6)
0.0ms	x	@	-inf	(* x 1/6)
0.0ms	x	@	inf	(/ 6 (+ (* x x) -3))
0.0ms	x	@	0	(/ 6 (+ (* x x) -3))

rewrite494.0ms (8.7%)

Memory

22.9MiB live, 813.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 164×	`accelerator-lowering-fma.f32`
4 164×	`accelerator-lowering-fma.f64`
3 942×	`-lowering-.f32`
3 942×	`-lowering-.f64`
3 664×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	88	46
2	453	46
3	3710	46
0	9011	40

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 1 479

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 x 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 -1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/6 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 (.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 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(+.f64 (.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 (.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 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 (.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 1 binary64)) (/.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 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 x (.f64 x (.f64 (.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 x (/.f64 (.f64 x (.f64 (.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 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 x (exp.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 (.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 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x x) (exp.f64 (log.f64 #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) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/6 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 (.f64 x x) #s(literal -1/6 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 #s(literal 1/6 binary64)) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 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 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 1/6 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 (.f64 x 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 (.f64 x (.f64 x (.f64 (.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 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #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 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 x x) (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 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (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 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64))) (/.f64 x (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 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/6 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 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (/.f64 (.f64 x #s(literal 1/6 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 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 x (.f64 x (.f64 (.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)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/12 binary64)) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64)))) x #s(literal -1/2 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/6 binary64))) (*.f64 x x) #s(literal -1/2 binary64))
(neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 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 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 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 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 3 binary64)) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal 3 binary64)) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 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)) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 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) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 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))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)) (.f64 #s(literal 1 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 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)) (.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (fma.f64 x (.f64 x (.f64 (.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 x (.f64 x (.f64 (.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 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 0 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 0 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 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 #s(literal 0 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (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 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 (.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 0 binary64) (fma.f64 x (.f64 x (.f64 (.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 0 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 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 x) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64))) (neg.f64 (.f64 #s(literal 6 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64))) (.f64 #s(literal 6 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (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))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64))) (neg.f64 (.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64))) (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))))
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(/.f64 (neg.f64 (.f64 #s(literal 6 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #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)))))) (neg.f64 (.f64 (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))))))
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(pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64))
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(pow.f64 (sqrt.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal 2 binary64))
(pow.f64 (.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))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))))
(.f64 #s(literal -6 binary64) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 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 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (exp.f64 (log.f64 #s(literal 6 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))))
(.f64 (fma.f64 x x #s(literal 3 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (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))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64))) (fma.f64 (.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64))) (/.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64))) (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64))) (fma.f64 x x #s(literal 3 binary64)))
(.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64))) (/.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64))) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.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 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 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 (sqrt.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)))) (fma.f64 x x #s(literal 3 binary64)))
(.f64 (/.f64 #s(literal -1 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 0 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 (.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 -6 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (/.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 binary64)) (fma.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)))))) #s(literal 1/10077696 binary64) #s(literal -1/512 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656 binary64)) #s(literal -1/64 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 (/.f64 #s(literal 6 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal -3 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64))) (fma.f64 x x #s(literal 3 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/144 binary64) #s(literal 1/16 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
(*.f64 (exp.f64 (log.f64 #s(literal -6 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -3 binary64)))))))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -3 binary64)))))) (exp.f64 (log.f64 #s(literal -6 binary64))))
(.f64 (exp.f64 (log.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64))))) (exp.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(.f64 (exp.f64 (log.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64))))) (exp.f64 (log.f64 (fma.f64 x x #s(literal 3 binary64)))))

simplify410.0ms (7.2%)

Memory

-6.7MiB live, 422.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 490×	`accelerator-lowering-fma.f32`
6 490×	`accelerator-lowering-fma.f64`
3 366×	`-lowering-.f32`
3 366×	`-lowering-.f64`
1 410×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	572
1	115	572
2	245	572
3	511	572
4	1279	572
5	2305	572
6	3199	572
7	4709	572
8	6048	572
9	7934	572
0	8065	521

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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)))))
-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)))))
(* 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)))))
(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)
-1/2
(- (* 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)))))
-2
(- (* -2/3 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 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) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 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) (- 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 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow x 2)) 2)
(fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -2/9 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/27 binary64) #s(literal 0 binary64)) #s(literal -2/9 binary64)) #s(literal 0 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 6 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (fma.f64 x x #s(literal 0 binary64)))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 162 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64)))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 6 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (fma.f64 x x #s(literal 0 binary64)))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 162 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64)))

eval540.0ms (9.5%)

Memory: -3.0MiB live, 336.0MiB allocated
Compiler: Compiled 47 305 to 1 926 computations (95.9% saved)

prune263.0ms (4.6%)

Memory

-17.4MiB live, 146.0MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 727	1	1 728
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	1 728	7	1 735

Accuracy

100.0%

Counts

1 735 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	63.1%	(/.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)))
▶	63.1%	(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
✓	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
✓	51.3%	#s(literal -1/2 binary64)

Compiler

Compiled 66 to 45 computations (31.8% saved)

simplify7.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
✓	cost-diff	(/.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)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64))
✓	cost-diff	(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))

Rules

76×	`-lowering-.f32`
76×	`-lowering-.f64`
38×	`accelerator-lowering-fma.f32`
38×	`accelerator-lowering-fma.f64`
28×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	91
1	39	81
2	60	81
3	74	81
0	74	75

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ (* x (* x (* x x))) -9) (+ (* (* x x) 6) 18))
(+ (* x (* x (* x x))) -9)
x
(* x (* x x))
(* x x)
-9
(+ (* (* x x) 6) 18)
6
18
(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))
(+ (* (* x (* x (* x x))) 1/36) -1/4)
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
1/36
-1/4
(+ (* x (* x 1/6)) 1/2)
(* x 1/6)
1/6
1/2

Outputs
(/ (+ (* x (* x (* x x))) -9) (+ (* (* x x) 6) 18))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
(+ (* x (* x (* x x))) -9)
(fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-9
#s(literal -9 binary64)
(+ (* (* x x) 6) 18)
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))
6
#s(literal 6 binary64)
18
#s(literal 18 binary64)
(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 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)))
(+ (* (* x (* x (* x x))) 1/36) -1/4)
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
1/36
#s(literal 1/36 binary64)
-1/4
#s(literal -1/4 binary64)
(+ (* x (* x 1/6)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)

localize81.0ms (1.4%)

Memory

-10.5MiB live, 28.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	67.7%	(/.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)))
✓	accuracy	99.9%	(fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))
✓	accuracy	67.7%	(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))

Samples

34.0ms

256×

valid

Compiler

Compiled 99 to 23 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 10.0ms (42.2% of total)

const: 6.0ms (25.3% of total)

ival-add: 4.0ms (16.9% of total)

ival-div: 3.0ms (12.7% of total)

exact: 1.0ms (4.2% of total)

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

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

series5.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (/ (+ (* x (* x (* x x))) -9) (+ (* (* x x) 6) 18))>
#<alt (+ (* x (* x (* x x))) -9)>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))>
#<alt (+ (* (* x (* x (* x x))) 1/36) -1/4)>
#<alt (* x (* x (* x x)))>
#<alt (+ (* (* x x) 6) 18)>
#<alt (* x 1/6)>

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 -9>
#<alt (- (pow x 4) 9)>
#<alt (- (pow x 4) 9)>
#<alt (- (pow x 4) 9)>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 9 (/ 1 (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 (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 -1/2>
#<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 -1/4>
#<alt (- (* 1/36 (pow x 4)) 1/4)>
#<alt (- (* 1/36 (pow x 4)) 1/4)>
#<alt (- (* 1/36 (pow x 4)) 1/4)>
#<alt (* 1/36 (pow x 4))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* 1/36 (pow x 4))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (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 4)>
#<alt 18>
#<alt (+ 18 (* 6 (pow x 2)))>
#<alt (+ 18 (* 6 (pow x 2)))>
#<alt (+ 18 (* 6 (pow x 2)))>
#<alt (* 6 (pow x 2))>
#<alt (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))>
#<alt (* 6 (pow x 2))>
#<alt (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 6 (* 18 (/ 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)>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (+ (* x (* x (* x x))) -9) (+ (* (* x x) 6) 18))
1.0ms	x	@	inf	(/ (+ (* x (* x (* x x))) -9) (+ (* (* x x) 6) 18))
0.0ms	x	@	0	(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))
0.0ms	x	@	inf	(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))
0.0ms	x	@	-inf	(* x (* x x))

rewrite539.0ms (9.5%)

Memory

13.0MiB live, 776.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 256×	`accelerator-lowering-fma.f32`
9 256×	`accelerator-lowering-fma.f64`
6 304×	`-lowering-.f32`
6 304×	`-lowering-.f64`
3 734×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	69
1	112	51
2	834	51
0	8549	47

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 485

Calls

Call 1

Inputs
(/ (+ (* x (* x (* x x))) -9) (+ (* (* x x) 6) 18))
(+ (* x (* x (* x x))) -9)
(* x (* x x))
(* x x)
(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))
(+ (* (* x (* x (* x x))) 1/36) -1/4)
(* x (* x (* x x)))
(+ (* (* x x) 6) 18)
(* x 1/6)

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal -9 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) (.f64 x (.f64 x (*.f64 x x)))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))))) (.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal 108 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal 108 binary64)))) (.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64))) (.f64 (.f64 x x) #s(literal 6 binary64))) (.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64))) #s(literal -18 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)))) (.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)))))
(+.f64 (.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64)))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64)))) (.f64 (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal 108 binary64))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal 108 binary64))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64)))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64)))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64)))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64)))) (.f64 #s(literal -18 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 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 (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64))) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)))) (/.f64 #s(literal 81 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 9 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) (.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)))))
(fma.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64))) (.f64 #s(literal -18 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64)))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))) (.f64 (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal 108 binary64))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64)))))
(fma.f64 (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal 108 binary64))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64)))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal -9 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64)))) (.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (*.f64 x x) #s(literal 108 binary64)))))
(fma.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal 108 binary64))) (.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 36 binary64))))))
(fma.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64))) (.f64 (.f64 x x) #s(literal 6 binary64)) (.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64))) #s(literal -18 binary64)))
(neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64)))))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64))) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -729 binary64)) (.f64 (+.f64 #s(literal 81 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -729 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)) (+.f64 #s(literal 81 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))
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(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(.f64 (.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(+.f64 #s(literal 18 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(+.f64 #s(literal 18 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -6 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64)))) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal -18 binary64))) (neg.f64 (/.f64 #s(literal 324 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal -18 binary64)))))
(+.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -6 binary64))) #s(literal 18 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 (.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 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64)))) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal -18 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 324 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal -18 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 324 binary64) (+.f64 #s(literal 18 binary64) (.f64 (.f64 x x) #s(literal -6 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64)))) (+.f64 #s(literal 18 binary64) (.f64 (.f64 x x) #s(literal -6 binary64)))))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 18 binary64))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal 18 binary64))) (neg.f64 (/.f64 #s(literal 324 binary64) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal -18 binary64)))))
(fma.f64 (*.f64 x #s(literal 6 binary64)) x #s(literal 18 binary64))
(neg.f64 (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal 108 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64)) (+.f64 #s(literal 324 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 108 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal 108 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 324 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal 108 binary64)))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (.f64 (.f64 x x) #s(literal -6 binary64))) (+.f64 #s(literal 324 binary64) (.f64 #s(literal -36 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64)) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal -18 binary64)))
(/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64)) (neg.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal 18 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal 108 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))) (neg.f64 (+.f64 #s(literal 324 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 108 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64))) (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal 18 binary64)))
(/.f64 (+.f64 #s(literal 324 binary64) (.f64 #s(literal -36 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 18 binary64) (.f64 (.f64 x x) #s(literal -6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64)))) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal -18 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal -18 binary64)) #s(literal 324 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal -18 binary64)) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal -18 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) #s(literal 198359290368 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64) #s(literal 34012224 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1259712 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal 108 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64) #s(literal -34012224 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal -5832 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (*.f64 x x) #s(literal 108 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64) #s(literal -34012224 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64) (+.f64 #s(literal 104976 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 11664 binary64)))) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal -18 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64) #s(literal -104976 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal 324 binary64)) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal -18 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (*.f64 x x) #s(literal 108 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal -18 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal 108 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal 108 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64)))) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal -18 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal 18 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 324 binary64) (.f64 #s(literal -36 binary64) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 18 binary64) (.f64 (.f64 x x) #s(literal -6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 (.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 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64)))) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal -18 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.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 x (.f64 x (.f64 (.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 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64)))) (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal -18 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.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 x (.f64 x (.f64 (.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 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (*.f64 x x) #s(literal 108 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.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 x (.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)))
(.f64 (fma.f64 x (.f64 x (.f64 (.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 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 5832 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 36 binary64))) (-.f64 #s(literal 324 binary64) (.f64 (*.f64 x x) #s(literal 108 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 (.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 #s(literal -36 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 18 binary64) (.f64 (*.f64 x x) #s(literal -6 binary64)))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)

simplify229.0ms (4%)

Memory

3.3MiB live, 409.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 934×	`-lowering-.f32`
3 934×	`-lowering-.f64`
3 446×	`accelerator-lowering-fma.f32`
3 446×	`accelerator-lowering-fma.f64`
1 554×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	492
1	90	492
2	183	492
3	391	492
4	792	492
5	1193	492
6	2399	492
7	4172	492
8	5233	492
9	6809	492
0	8286	456

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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)))))
-9
(- (pow x 4) 9)
(- (pow x 4) 9)
(- (pow x 4) 9)
(pow x 4)
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(pow x 4)
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (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)
(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)
-1/2
(- (* 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)))))
-1/4
(- (* 1/36 (pow x 4)) 1/4)
(- (* 1/36 (pow x 4)) 1/4)
(- (* 1/36 (pow x 4)) 1/4)
(* 1/36 (pow x 4))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* 1/36 (pow x 4))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 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 4)
18
(+ 18 (* 6 (pow x 2)))
(+ 18 (* 6 (pow x 2)))
(+ 18 (* 6 (pow x 2)))
(* 6 (pow x 2))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* 6 (pow x 2))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 6 (* 18 (/ 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)

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
-9
#s(literal -9 binary64)
(- (pow x 4) 9)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(- (pow x 4) 9)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(- (pow x 4) 9)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* 1/36 (pow x 4))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 0 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* 1/36 (pow x 4))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 0 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
18
#s(literal 18 binary64)
(+ 18 (* 6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(+ 18 (* 6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(+ 18 (* 6 (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)))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(* (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)))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))

eval100.0ms (1.8%)

Memory: 7.2MiB live, 237.9MiB allocated
Compiler: Compiled 22 122 to 1 441 computations (93.5% saved)

prune73.0ms (1.3%)

Memory

-11.1MiB live, 237.2MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	648	1	649
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	648	8	656

Accuracy

100.0%

Counts

656 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	63.1%	(/.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)))
✓	63.1%	(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
▶	13.0%	(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 6 binary64))))
✓	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
✓	51.3%	#s(literal -1/2 binary64)

Compiler

Compiled 81 to 54 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64))
✓	cost-diff	(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 6 binary64))))

Rules

24×	`/-lowering-/.f32`
24×	`/-lowering-/.f64`
24×	`-lowering-.f32`
24×	`-lowering-.f64`
18×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	21	33
2	34	33
3	39	33
0	39	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ (+ (* x (* x (* x x))) -9) (* x (* x 6)))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 6 binary64))))
(+ (* x (* x (* x x))) -9)
(fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-9
#s(literal -9 binary64)
(* x (* x 6))
(.f64 x (.f64 x #s(literal 6 binary64)))
(* x 6)
(*.f64 x #s(literal 6 binary64))
6
#s(literal 6 binary64)

localize29.0ms (0.5%)

Memory

-8.7MiB live, 69.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 6 binary64)))
✓	accuracy	67.6%	(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 6 binary64))))

Samples

19.0ms

256×

valid

Compiler

Compiled 43 to 12 computations (72.1% saved)

Precisions

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

ival-mult: 9.0ms (75.4% of total)

ival-div: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% 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

6.1MiB live, 6.1MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/ (+ (* x (* x (* x x))) -9) (* x (* x 6)))>
#<alt (+ (* x (* x (* x x))) -9)>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (* x (* x 6))>

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

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (+ (* x (* x (* x x))) -9) (* x (* x 6)))
0.0ms	x	@	inf	(/ (+ (* x (* x (* x x))) -9) (* x (* x 6)))
0.0ms	x	@	inf	(* x (* x 6))
0.0ms	x	@	0	(* x (* x 6))
0.0ms	x	@	-inf	(/ (+ (* x (* x (* x x))) -9) (* x (* x 6)))

rewrite309.0ms (5.5%)

Memory

-26.7MiB live, 610.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 202×	`-lowering-.f32`
4 202×	`-lowering-.f64`
3 604×	`/-lowering-/.f32`
3 604×	`/-lowering-/.f64`
2 796×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	45	27
2	291	27
3	2918	27
0	8141	27

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 532

Calls

Call 1

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

Outputs
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(.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -9 binary64) (.f64 x (.f64 x (*.f64 x x))))))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -9 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal -531441 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 81 binary64)) #s(literal 6561 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -6561 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 81 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)) (+.f64 (pow.f64 x #s(literal 36 binary64)) #s(literal -387420489 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 531441 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -729 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)) (+.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal -531441 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 729 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 x (*.f64 x x)) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 x (*.f64 x x)) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 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)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(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)
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -6 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -6 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal 6 binary64)))
(.f64 x (neg.f64 (.f64 x #s(literal -6 binary64))))
(.f64 x (/.f64 (.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 6 binary64))
(.f64 #s(literal 6 binary64) (.f64 x x))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 6 binary64)) x)
(.f64 (.f64 x #s(literal 6 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -6 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -6 binary64)))
(.f64 (.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -6 binary64))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 x #s(literal 6 binary64)))
(.f64 (neg.f64 (.f64 x #s(literal -6 binary64))) x)
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 6 binary64))

simplify225.0ms (4%)

Memory

26.0MiB live, 144.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 984×	`accelerator-lowering-fma.f32`
1 984×	`accelerator-lowering-fma.f64`
1 392×	`-lowering-.f32`
1 392×	`-lowering-.f64`
644×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	298
1	59	298
2	127	298
3	243	298
4	551	298
5	990	298
6	1685	298
7	2276	298
8	2764	298
9	3295	298
10	3753	298
11	3809	298
12	3838	298
13	3840	298
14	3845	298
15	3903	298
16	3927	298
17	3927	298
18	3933	298
0	3933	295

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

Outputs
(/ -3/2 (pow x 2))
(/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (* 1/6 (pow x 4)) 3/2) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -3/2 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (* 1/6 (pow x 4)) 3/2) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -3/2 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (* 1/6 (pow x 4)) 3/2) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -3/2 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* 1/6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
-9
#s(literal -9 binary64)
(- (pow x 4) 9)
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(- (pow x 4) 9)
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(- (pow x 4) 9)
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* 6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 6 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))

eval83.0ms (1.5%)

Memory: -6.8MiB live, 138.7MiB allocated
Compiler: Compiled 20 486 to 1 540 computations (92.5% saved)

prune79.0ms (1.4%)

Memory

-16.8MiB live, 153.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	591	1	592
Fresh	0	0	0
Picked	1	0	1
Done	1	6	7
Total	593	7	600

Accuracy

100.0%

Counts

600 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	63.1%	(/.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)))
	13.1%	(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (.f64 (.f64 x x) #s(literal 6 binary64)))
✓	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
✓	51.3%	#s(literal -1/2 binary64)

Compiler

Compiled 175 to 81 computations (53.7% saved)

regimes14.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes4.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#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))

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

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Memory

3.1MiB live, 3.1MiB 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

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
51.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.2%)

Memory

-24.0MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	10	13

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness311.0ms (5.5%)

Memory

-4.6MiB live, 193.3MiB allocated

Rules

5 168×	`/-lowering-/.f32`
5 168×	`/-lowering-/.f64`
4 388×	`-lowering-.f32`
4 388×	`-lowering-.f64`
4 318×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	39	15
2	227	15
3	1832	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

Stop Event

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

Compiler

Compiled 30 to 21 computations (30% saved)

preprocess76.0ms (1.4%)

Memory: 19.1MiB live, 58.4MiB allocated
Remove: (abs x)
Compiler: Compiled 58 to 40 computations (31% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	21
1	33	21
2	71	21
3	168	21
4	294	21
5	372	21
6	398	21
7	406	21
0	6	7
1	13	7
2	19	7
3	21	7
0	21	6

Iter	Nodes	Cost
0	11	21
1	33	21
2	71	21
3	168	21
4	294	21
5	372	21
6	398	21
7	406	21
0	6	7
1	13	7
2	19	7
3	21	7
0	21	6

analyze0.0ms (0%)

sample727.0ms (12.8%)

preprocess18.0ms (0.3%)

explain100.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize23.0ms (0.4%)

series2.0ms (0%)

rewrite472.0ms (8.3%)

simplify220.0ms (3.9%)

eval71.0ms (1.3%)

prune71.0ms (1.2%)

simplify5.0ms (0.1%)

localize54.0ms (1%)

series3.0ms (0.1%)

rewrite494.0ms (8.7%)

simplify410.0ms (7.2%)

eval540.0ms (9.5%)

prune263.0ms (4.6%)

simplify7.0ms (0.1%)

localize81.0ms (1.4%)

series5.0ms (0.1%)

rewrite539.0ms (9.5%)

simplify229.0ms (4%)

eval100.0ms (1.8%)

prune73.0ms (1.3%)

simplify5.0ms (0.1%)

localize29.0ms (0.5%)

series2.0ms (0%)

rewrite309.0ms (5.5%)

simplify225.0ms (4%)

eval83.0ms (1.5%)

prune79.0ms (1.4%)

regimes14.0ms (0.2%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

simplify9.0ms (0.2%)

soundness311.0ms (5.5%)

preprocess76.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	21
1	33	21
2	71	21
3	168	21
4	294	21
5	372	21
6	398	21
7	406	21
0	6	7
1	13	7
2	19	7
3	21	7
0	21	6