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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample757.0ms (17.7%)

Memory

-169.5MiB live, 1 008.3MiB allocated

Samples

596.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-div: 78.0ms (38% of total)

ival-mult: 71.0ms (34.6% of total)

ival-sub: 40.0ms (19.5% of total)

exact: 8.0ms (3.9% of total)

ival-true: 6.0ms (2.9% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

preprocess20.0ms (0.5%)

Memory

-5.0MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Symmetry

(abs x)

explain69.0ms (1.6%)

Memory

-41.0MiB live, 130.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`	o/n	1	0
↳	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`	overflow	76
↳	`(*.f64 x x)`	overflow	76

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB 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)

localize18.0ms (0.4%)

Memory

-2.5MiB live, 36.7MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (49.3% of total)

ival-div: 2.0ms (32.9% of total)

ival-sub: 1.0ms (16.4% 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

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	@	0	(* x x)

rewrite321.0ms (7.5%)

Memory

24.5MiB live, 492.3MiB 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 x (neg.f64 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 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.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 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (.f64 (.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 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.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 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x (.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 (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.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 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 9 binary64))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(-.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)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
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(.f64 (/.f64 (fma.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)))) #s(literal -19683 binary64)) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1 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 (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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -81 binary64)) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x (neg.f64 x) #s(literal -3 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.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 (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 (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 (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))) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 27 binary64)))) (/.f64 #s(literal 1/6 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x (neg.f64 x) #s(literal -3 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -729 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))) (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 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -729 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 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (*.f64 x x) #s(literal -3 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -729 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 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 (fma.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)))) #s(literal -19683 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 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 (fma.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)))) #s(literal -19683 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 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 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -729 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.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)))) #s(literal 6 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -81 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -81 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 9 binary64))) #s(literal 6 binary64)))
(.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (.f64 x (.f64 x (.f64 x x)))))))))
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))
(.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64)))))))
(.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64)))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64)))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (*.f64 x x) #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 x x #s(literal -3 binary64)))
(.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 27 binary64)))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))
(.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))))) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x 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))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x 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 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)))) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 27 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))))) (/.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (fma.f64 x (neg.f64 x) #s(literal -3 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 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 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64)))) (/.f64 #s(literal -1/6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x 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 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 27 binary64)))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)

simplify213.0ms (5%)

Memory

-19.4MiB live, 182.1MiB 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)
(*.f64 x x)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval94.0ms (2.2%)

Memory: 21.8MiB live, 100.2MiB allocated
Compiler: Compiled 23 870 to 1 644 computations (93.1% saved)

prune92.0ms (2.2%)

Memory

5.9MiB live, 128.3MiB 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
▶	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
	53.7%	(pow.f64 (pow.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))
	58.4%	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
▶	99.6%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
▶	53.7%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
▶	53.6%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
▶	45.7%	#s(literal -1/2 binary64)

Compiler

Compiled 116 to 82 computations (29.3% saved)

simplify4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x x #s(literal -3 binary64))
✓	cost-diff	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	cost-diff	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 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	13	49
1	21	49
2	22	49
0	22	46

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize62.0ms (1.4%)

Memory

-28.9MiB live, 49.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal -3 binary64))
✓	accuracy	99.6%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	accuracy	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))

Samples

38.0ms

256×

valid

Compiler

Compiled 48 to 15 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

const: 17.0ms (59.7% of total)

ival-mult: 6.0ms (21.1% of total)

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

ival-add: 2.0ms (7% 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

3.2MiB live, 3.2MiB allocated

Counts

7 → 84

Calls

Call 1

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

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x 1/6)
0.0ms	x	@	0	(* x 1/6)
0.0ms	x	@	-inf	(* x 1/6)
0.0ms	x	@	inf	(* (* x x) 1/6)
0.0ms	x	@	0	(+ (* (* x 1/6) x) -1/2)

rewrite293.0ms (6.8%)

Memory

22.6MiB live, 266.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 226×	`accelerator-lowering-fma.f32`
5 226×	`accelerator-lowering-fma.f64`
4 266×	`-lowering-.f32`
4 266×	`-lowering-.f64`
2 368×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	65	35
2	441	35
3	5497	35
0	8460	32

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 522

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/6 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))))
(-.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))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1 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 x (*.f64 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 #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 #s(literal 1/6 binary64) (.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 x (.f64 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 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.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 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 1/6 binary64) (.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 x (.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 x (*.f64 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 (neg.f64 (*.f64 x x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.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 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (*.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 x (*.f64 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 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.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 x (.f64 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 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (/.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 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 (.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)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.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 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal -1/12 binary64) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64)))) x #s(literal -1/2 binary64))
(fma.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 x x)))) (exp.f64 (log.f64 #s(literal -1/6 binary64))) #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 (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/6 binary64)))
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(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -3 binary64) (.f64 x x)) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))
(.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(.f64 (fma.f64 (.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal -3 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (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 x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -27 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (/.f64 (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)) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (.f64 (.f64 x x) #s(literal -3 binary64))))) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (.f64 (*.f64 x x) #s(literal -3 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 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))))

simplify271.0ms (6.3%)

Memory

-17.4MiB live, 213.8MiB 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	20	392
1	45	392
2	98	392
3	232	392
4	746	392
5	1580	392
6	2314	392
7	3484	392
8	4207	392
9	5314	392
10	6368	392
11	7101	392
0	8014	365

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval64.0ms (1.5%)

Memory: 30.6MiB live, 67.9MiB allocated
Compiler: Compiled 11 826 to 814 computations (93.1% saved)

prune87.0ms (2%)

Memory

-8.7MiB live, 69.5MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	635	4	639
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	638	8	646

Accuracy

100.0%

Counts

646 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	53.7%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
▶	54.0%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
▶	53.5%	(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 1/6 binary64))))
✓	53.6%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
▶	53.9%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	45.7%	#s(literal -1/2 binary64)

Compiler

Compiled 48 to 34 computations (29.2% saved)

simplify4.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 6 binary64) x)
✓	cost-diff	384	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	cost-diff	0	(log.f64 #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 1/6 binary64))))
✓	cost-diff	12800	(exp.f64 (log.f64 #s(literal 1/6 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)

Rules

18×	`-lowering-.f32`
18×	`-lowering-.f64`
8×	`*-commutative`
8×	`/-lowering-/.f32`
8×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	23	46
0	23	45

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(* (* x x) (exp (log 1/6)))
(* x x)
x
(exp (log 1/6))
(log 1/6)
1/6
(/ x (/ 6 x))
x
(/ 6 x)
6
(+ (* (/ x 6) x) -1/2)
(/ x 6)
x
6
-1/2

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

localize82.0ms (1.9%)

Memory

-23.9MiB live, 95.5MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 6 binary64) x)
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 #s(literal 1/6 binary64))
✓	accuracy	99.4%	(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 1/6 binary64))))
✓	accuracy	98.4%	(exp.f64 (log.f64 #s(literal 1/6 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))

Samples

65.0ms

256×

valid

Compiler

Compiled 51 to 17 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 35.0ms (64.8% of total)

ival-div: 8.0ms (14.8% of total)

const: 4.0ms (7.4% of total)

ival-exp: 3.0ms (5.6% of total)

ival-log: 3.0ms (5.6% of total)

ival-add: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

10 → 96

Calls

Call 1

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

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

24 calls:

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

rewrite245.0ms (5.7%)

Memory

-3.6MiB live, 434.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 504×	`accelerator-lowering-fma.f32`
4 504×	`accelerator-lowering-fma.f64`
3 734×	`-lowering-.f32`
3 734×	`-lowering-.f64`
2 748×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	54	37
2	361	37
3	4332	37
0	8405	36

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 348

Calls

Call 1

Inputs
(* (* x 1/6) x)
(* x 1/6)
(exp (log 1/6))
(* (* x x) (exp (log 1/6)))
(* x x)
(log 1/6)
(/ x (/ 6 x))
(/ 6 x)
(+ (* (/ x 6) x) -1/2)
(/ x 6)

Outputs
(exp.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 6 binary64))))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -6 binary64))
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))) #s(literal -6 binary64))
(/.f64 (.f64 (.f64 x (neg.f64 x)) #s(literal 1 binary64)) #s(literal -6 binary64))
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (exp.f64 (log.f64 (*.f64 x (neg.f64 x)))) (exp.f64 (log.f64 #s(literal -6 binary64))))
(pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (neg.f64 x) (.f64 x #s(literal -1/6 binary64)))
(.f64 (neg.f64 x) (.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 x (neg.f64 x)) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 x (neg.f64 x)))
(*.f64 #s(literal -1/6 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 x))
(.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64))
(.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 x #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal -1/6 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)) x)
(.f64 (/.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1/6 binary64)))
(.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (.f64 x #s(literal -1/6 binary64)))))
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal -1/6 binary64)))) (exp.f64 (log.f64 (neg.f64 x))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x #s(literal 6 binary64))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -1/6 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (neg.f64 x))
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
#s(literal 1/6 binary64)
(exp.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 6 binary64))))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -6 binary64))
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))) #s(literal -6 binary64))
(/.f64 (.f64 (.f64 x (neg.f64 x)) #s(literal 1 binary64)) #s(literal -6 binary64))
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (exp.f64 (log.f64 (*.f64 x (neg.f64 x)))) (exp.f64 (log.f64 #s(literal -6 binary64))))
(pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (neg.f64 x) (.f64 x #s(literal -1/6 binary64)))
(.f64 (neg.f64 x) (.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 x (neg.f64 x)) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 x (neg.f64 x)))
(*.f64 #s(literal -1/6 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 x))
(.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64))
(.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 x #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal -1/6 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)) x)
(.f64 (/.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1/6 binary64)))
(.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (.f64 x #s(literal -1/6 binary64)))))
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal -1/6 binary64)))) (exp.f64 (log.f64 (neg.f64 x))))
(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)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(log.f64 #s(literal 1/6 binary64))
(exp.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 6 binary64))))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -6 binary64))
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))) #s(literal -6 binary64))
(/.f64 (.f64 (.f64 x (neg.f64 x)) #s(literal 1 binary64)) #s(literal -6 binary64))
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (exp.f64 (log.f64 (*.f64 x (neg.f64 x)))) (exp.f64 (log.f64 #s(literal -6 binary64))))
(pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (neg.f64 x) (.f64 x #s(literal -1/6 binary64)))
(.f64 (neg.f64 x) (.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 x (neg.f64 x)) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 x (neg.f64 x)))
(*.f64 #s(literal -1/6 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 x))
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(/.f64 (-.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))) (/.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 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (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))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) #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 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.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 #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 (.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 (.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 #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)))) (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 (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 #s(literal 1 binary64) (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) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/144 binary64) #s(literal 1/16 binary64))))
(/.f64 (.f64 (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)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (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 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 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (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 x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 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 1 binary64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 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 (/.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 (.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 (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 (.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)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64))))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (.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)) (neg.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))))) (neg.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 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 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 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x #s(literal 6 binary64))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -1/6 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (neg.f64 x))
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))

simplify175.0ms (4.1%)

Memory

7.4MiB live, 321.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 338×	`-lowering-.f32`
3 338×	`-lowering-.f64`
2 710×	`accelerator-lowering-fma.f32`
2 710×	`accelerator-lowering-fma.f64`
1 528×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	398
1	31	398
2	60	398
3	133	398
4	380	398
5	713	398
6	1167	398
7	2183	398
8	3647	398
9	4724	398
10	5698	398
11	6860	398
0	8026	389

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval96.0ms (2.2%)

Memory: 15.1MiB live, 106.8MiB allocated
Compiler: Compiled 4 767 to 510 computations (89.3% saved)

prune237.0ms (5.5%)

Memory

-33.2MiB live, 88.9MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	443	1	444
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	443	9	452

Accuracy

100.0%

Counts

452 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	53.7%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	54.0%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
▶	54.0%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	53.5%	(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 1/6 binary64))))
✓	53.6%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	53.9%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	45.7%	#s(literal -1/2 binary64)

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify4.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	7	10
0	7	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ x 6) x)
(/ x 6)
x
6

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

localize14.0ms (0.3%)

Memory

25.2MiB live, 25.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (51% of total)

ival-mult: 2.0ms (51% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite224.0ms (5.2%)

Memory

3.6MiB live, 436.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 048×	`accelerator-lowering-fma.f32`
3 048×	`accelerator-lowering-fma.f64`
2 836×	`-lowering-.f32`
2 836×	`-lowering-.f64`
2 542×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	17	8
2	59	8
3	221	8
4	1007	8
5	6897	8
0	9075	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 422

Calls

Call 1

Inputs
(* (/ x 6) x)
(/ x 6)

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

simplify9.0ms (0.2%)

Memory

-25.1MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
4×	`*-commutative`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

eval49.0ms (1.1%)

Memory: 1.1MiB live, 114.4MiB allocated
Compiler: Compiled 5 682 to 921 computations (83.8% saved)

prune53.0ms (1.2%)

Memory

14.9MiB live, 136.6MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	445	1	446
Fresh	0	0	0
Picked	0	1	1
Done	1	7	8
Total	446	9	455

Accuracy

100.0%

Counts

455 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	53.7%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	54.0%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	54.0%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
	53.9%	(.f64 (.f64 (neg.f64 x) (/.f64 x (*.f64 x #s(literal -6 binary64)))) x)
✓	53.6%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	53.9%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	45.7%	#s(literal -1/2 binary64)

Compiler

Compiled 154 to 81 computations (47.4% saved)

regimes18.0ms (0.4%)

Memory

-1.2MiB live, 37.2MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
4.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(-.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)

regimes14.0ms (0.3%)

Memory

-11.3MiB live, 29.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB 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

4 calls:

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

Results

Accuracy	Segments	Branch
45.7%	1	`x`
45.7%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
45.7%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
45.7%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.140375371379175	620.4634582909699

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify28.0ms (0.6%)

Memory

-26.2MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	15	25

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness584.0ms (13.6%)

Memory

-2.0MiB live, 449.8MiB allocated

Rules

5 226×	`accelerator-lowering-fma.f32`
5 226×	`accelerator-lowering-fma.f64`
5 168×	`/-lowering-/.f32`
5 168×	`/-lowering-/.f64`
4 388×	`-lowering-.f32`

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
0	6	15
1	39	15
2	227	15
3	1832	15
0	8685	13
0	13	35
1	65	35
2	441	35
3	5497	35
0	8460	32

Stop Event

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

Compiler

Compiled 63 to 40 computations (36.5% saved)

preprocess53.0ms (1.2%)

Memory: 30.1MiB live, 67.0MiB allocated
Remove: (abs x)
Compiler: Compiled 82 to 48 computations (41.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	292	14
5	371	14
6	397	14
7	405	14
0	6	7
1	13	7
2	19	7
3	21	7
0	21	6

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	292	14
5	371	14
6	397	14
7	405	14
0	6	7
1	13	7
2	19	7
3	21	7
0	21	6

analyze0.0ms (0%)

sample757.0ms (17.7%)

preprocess20.0ms (0.5%)

explain69.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize18.0ms (0.4%)

series2.0ms (0%)

rewrite321.0ms (7.5%)

simplify213.0ms (5%)

eval94.0ms (2.2%)

prune92.0ms (2.2%)

simplify4.0ms (0.1%)

localize62.0ms (1.4%)

series3.0ms (0.1%)

rewrite293.0ms (6.8%)

simplify271.0ms (6.3%)

eval64.0ms (1.5%)

prune87.0ms (2%)

simplify4.0ms (0.1%)

localize82.0ms (1.9%)

series2.0ms (0%)

rewrite245.0ms (5.7%)

simplify175.0ms (4.1%)

eval96.0ms (2.2%)

prune237.0ms (5.5%)

simplify4.0ms (0.1%)

localize14.0ms (0.3%)

series0.0ms (0%)

rewrite224.0ms (5.2%)

simplify9.0ms (0.2%)

eval49.0ms (1.1%)

prune53.0ms (1.2%)

regimes18.0ms (0.4%)

regimes14.0ms (0.3%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify28.0ms (0.6%)

soundness584.0ms (13.6%)

preprocess53.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	292	14
5	371	14
6	397	14
7	405	14
0	6	7
1	13	7
2	19	7
3	21	7
0	21	6