Metrics for Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, E

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 11 to 9 computations (18.2% saved)

sample878.0ms (10.3%)

Memory

26.8MiB live, 956.2MiB allocated

Samples

538.0ms	7 556×	0	valid
48.0ms	369×	1	valid
37.0ms	331×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 318.0ms

ival-mult: 251.0ms (78.8% of total)

ival-sub: 44.0ms (13.8% of total)

adjust: 9.0ms (2.8% of total)

exact: 8.0ms (2.5% of total)

ival-true: 5.0ms (1.6% of total)

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

Bogosity

preprocess144.0ms (1.7%)

Memory

-6.4MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Rules

776×	`accelerator-lowering-fma.f32`
776×	`accelerator-lowering-fma.f64`
480×	`-lowering-.f32`
480×	`-lowering-.f64`
238×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	33	18
2	97	14
3	332	14
4	923	14
5	1333	14
6	1344	14
7	1348	14
8	1348	14
0	7	9
1	17	9
2	42	7
3	95	7
4	193	7
5	281	7
6	376	7
7	577	7
8	678	7
9	767	7
10	941	7
11	1014	7
12	1014	7
13	1014	7
0	1014	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (* 3 (- 2 (* x 3))) x)

Outputs
(* (* 3 (- 2 (* x 3))) x)
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))

explain188.0ms (2.2%)

Memory

-36.4MiB live, 134.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))`
-	-	`(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`
-	-	`(*.f64 x #s(literal 3 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms	408×	0	valid
14.0ms	48×	2	valid
5.0ms	52×	1	valid
1.0ms	4×	3	valid

Compiler

Compiled 78 to 32 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (67.1% of total)

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

adjust: 1.0ms (5.6% of total)

exact: 1.0ms (5.6% of total)

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

ival-true: 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

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify67.0ms (0.8%)

Memory

31.9MiB live, 67.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
✓	cost-diff	128	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	cost-diff	320	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))

Rules

776×	`accelerator-lowering-fma.f32`
776×	`accelerator-lowering-fma.f64`
480×	`-lowering-.f32`
480×	`-lowering-.f64`
218×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
1	17	27
2	42	23
3	95	23
4	193	23
5	281	23
6	376	23
7	577	23
8	678	23
9	767	23
10	941	23
11	1014	23
12	1014	23
13	1014	23
0	1014	20

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (* 3 (- 2 (* x 3))) x)
(* 3 (- 2 (* x 3)))
3
(- 2 (* x 3))
2
(* x 3)
x

Outputs
(* (* 3 (- 2 (* x 3))) x)
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* 3 (- 2 (* x 3)))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
3
#s(literal 3 binary64)
(- 2 (* x 3))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x 3)
(*.f64 #s(literal 3 binary64) x)
x

localize69.0ms (0.8%)

Memory

-24.9MiB live, 57.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Samples

32.0ms	204×	0	valid
3.0ms	24×	2	valid
2.0ms	26×	1	valid
0.0ms	2×	3	valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 28.0ms (89.4% of total)

ival-sub: 2.0ms (6.4% of total)

adjust: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (* 3 (- 2 (* x 3)))>
#<alt (- 2 (* x 3))>
#<alt (* (* 3 (- 2 (* x 3))) x)>
#<alt (* x 3)>

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* 3 (- 2 (* x 3)))
0.0ms	x	@	0	(* (* 3 (- 2 (* x 3))) x)
0.0ms	x	@	0	(* 3 (- 2 (* x 3)))
0.0ms	x	@	inf	(* (* 3 (- 2 (* x 3))) x)
0.0ms	x	@	-inf	(* (* 3 (- 2 (* x 3))) x)

rewrite537.0ms (6.3%)

Memory

29.4MiB live, 896.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

15 340×	`accelerator-lowering-fma.f32`
15 340×	`accelerator-lowering-fma.f64`
4 142×	`-lowering-.f32`
4 142×	`-lowering-.f64`
3 486×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	31	24
2	206	20
3	1714	20
0	9540	17

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 850

Calls

Call 1

Inputs
(* 3 (- 2 (* x 3)))
(- 2 (* x 3))
(* (* 3 (- 2 (* x 3))) x)
(* x 3)

Outputs
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -3 binary64) #s(literal 6 binary64))
(fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64) #s(literal 6 binary64))
(fma.f64 (neg.f64 x) #s(literal 9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64))
(fma.f64 #s(literal 9 binary64) (neg.f64 x) #s(literal 6 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 6 binary64))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal 81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) (+.f64 #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (.f64 (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) (.f64 (+.f64 #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal -3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (-.f64 #s(literal -4 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (+.f64 #s(literal 36 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64))))))
(/.f64 (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(/.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)))) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) #s(literal 3 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (neg.f64 (+.f64 #s(literal 36 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) (neg.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x))))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 36 binary64) (.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 36 binary64)) (-.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (neg.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (neg.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))))
(.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64)))))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) (.f64 x x) (*.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 3 binary64) (*.f64 x x))))
(.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) (.f64 x x) (*.f64 #s(literal -2 binary64) x)))
(.f64 #s(literal 3 binary64) (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) x)))
(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) x)))
(.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) x))
(.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 81 binary64))))))
(.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 #s(literal -6 binary64) x))))))
(.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 36 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 81 binary64)))))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(.f64 (.f64 #s(literal 3 binary64) (.f64 x (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 x (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 x (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (+.f64 #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 (.f64 x (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))
(neg.f64 (*.f64 x #s(literal -3 binary64)))
(/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal -3 binary64)))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)))

simplify572.0ms (6.7%)

Memory

-36.3MiB live, 289.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 190×	`-lowering-.f32`
3 190×	`-lowering-.f64`
3 012×	`accelerator-lowering-fma.f32`
3 012×	`accelerator-lowering-fma.f64`
1 366×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	216
1	82	216
2	169	216
3	406	216
4	1019	216
5	1335	216
6	2557	216
7	5031	216
8	6891	216
9	7986	216
0	8012	189

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval262.0ms (3.1%)

Memory: 5.2MiB live, 241.7MiB allocated
Compiler: Compiled 20 420 to 2 293 computations (88.8% saved)

prune326.0ms (3.8%)

Memory

9.3MiB live, 286.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	889	9	898
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	890	9	899

Accuracy

100.0%

Counts

899 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	99.5%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
	44.4%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
	99.7%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
▶	55.2%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
▶	55.2%	(.f64 (.f64 #s(literal -9 binary64) x) x)
▶	46.8%	(*.f64 x #s(literal 6 binary64))
	55.2%	(.f64 #s(literal -9 binary64) (.f64 x x))

Compiler

Compiled 138 to 100 computations (27.5% saved)

simplify7.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
✓	cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal -3 binary64))
✓	cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	cost-diff	320	(.f64 #s(literal 3 binary64) (.f64 x #s(literal -3 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -9 binary64) x)
✓	cost-diff	0	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	cost-diff	0	(*.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	cost-diff	320	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))

Rules

70×	`-lowering-.f32`
70×	`-lowering-.f64`
36×	`accelerator-lowering-fma.f32`
36×	`accelerator-lowering-fma.f64`
26×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	74
1	36	70
2	53	70
3	72	70
4	78	70
0	78	66

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize70.0ms (0.8%)

Memory

-3.6MiB live, 170.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
✓	accuracy	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (.f64 x #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal -9 binary64) x)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -9 binary64))

Samples

38.0ms	218×	0	valid
6.0ms	23×	2	valid
4.0ms	11×	3	valid
1.0ms	4×	1	valid

Compiler

Compiled 76 to 21 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 15.0ms (49.2% of total)

ival-div: 11.0ms (36.1% of total)

ival-add: 3.0ms (9.8% of total)

adjust: 1.0ms (3.3% of total)

exact: 1.0ms (3.3% of total)

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

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

series8.0ms (0.1%)

Memory

-23.7MiB live, 17.7MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (+ (* x 6) (* (* x x) -9))>
#<alt (* (* x x) -9)>
#<alt (* x x)>
#<alt (* x 6)>
#<alt (* (* -9 x) x)>
#<alt (* -9 x)>
#<alt (* 3 (* x -3))>
#<alt (* (* 3 (* x -3)) x)>
#<alt (* x -3)>
#<alt (/ x (/ 1 (+ (* x -9) 6)))>
#<alt (/ 1 (+ (* x -9) 6))>
#<alt (+ (* x -9) 6)>

Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (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 (* 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 (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/4 x))>
#<alt (+ 1/6 (* x (+ 1/4 (* 3/8 x))))>
#<alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)>
#<alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* x 6) (* (* x x) -9))
1.0ms	x	@	inf	(+ (* x 6) (* (* x x) -9))
0.0ms	x	@	-inf	(/ x (/ 1 (+ (* x -9) 6)))
0.0ms	x	@	inf	(* (* x x) -9)
0.0ms	x	@	-inf	(* x 6)

rewrite361.0ms (4.2%)

Memory

13.2MiB live, 644.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 444×	`accelerator-lowering-fma.f32`
7 444×	`accelerator-lowering-fma.f64`
4 796×	`-lowering-.f32`
4 796×	`-lowering-.f64`
2 034×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	60
1	79	56
2	479	56
3	5095	56
0	8074	52

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 733

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (neg.f64 (.f64 x (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))))
(+.f64 (.f64 (neg.f64 x) #s(literal -6 binary64)) (.f64 (neg.f64 x) (*.f64 x #s(literal 9 binary64))))
(+.f64 (.f64 (neg.f64 x) (.f64 x #s(literal 9 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(+.f64 (.f64 #s(literal -6 binary64) (neg.f64 x)) (.f64 (*.f64 x #s(literal 9 binary64)) (neg.f64 x)))
(+.f64 (.f64 (.f64 x #s(literal 9 binary64)) (neg.f64 x)) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (neg.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(-.f64 (.f64 x (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (.f64 x (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(-.f64 (/.f64 (.f64 x (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) #s(literal 1 binary64)) (/.f64 (.f64 x (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) #s(literal 1 binary64)))
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(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6561 binary64) #s(literal -1296 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
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(/.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
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(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
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(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6561 binary64) #s(literal -1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))))
(/.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) (exp.f64 (log.f64 #s(literal -1 binary64))))
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(/.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)))) (exp.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))))) (exp.f64 (log.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))))) (exp.f64 (log.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal 81 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)))
(.f64 (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (sqrt.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (fma.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64)))) (fma.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (-.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6561 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (.f64 x #s(literal -54 binary64))))) (+.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (*.f64 x #s(literal -54 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))))
(.f64 (exp.f64 (log.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))))
(.f64 (exp.f64 (log.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))))

simplify276.0ms (3.2%)

Memory

30.4MiB live, 417.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 582×	`accelerator-lowering-fma.f32`
8 582×	`accelerator-lowering-fma.f64`
2 454×	`-lowering-.f32`
2 454×	`-lowering-.f64`
1 484×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	674
1	194	670
2	422	664
3	860	664
4	1856	664
5	3687	664
6	6315	664
0	8175	631

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (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)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))

Outputs
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 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)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9/16 binary64) #s(literal 3/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal -2/27 binary64) x (+.f64 #s(literal -4/81 binary64) (/.f64 #s(literal -8/243 binary64) x))) (*.f64 x x))) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal -2/27 binary64) x (+.f64 #s(literal -4/81 binary64) (/.f64 #s(literal -8/243 binary64) x))) (*.f64 x x))) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))

eval150.0ms (1.8%)

Memory: -43.2MiB live, 202.4MiB allocated
Compiler: Compiled 16 084 to 1 437 computations (91.1% saved)

prune64.0ms (0.8%)

Memory

25.9MiB live, 141.9MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	870	7	877
Fresh	2	2	4
Picked	1	4	5
Done	0	0	0
Total	873	13	886

Accuracy

100.0%

Counts

886 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	99.5%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) x)))
▶	91.5%	(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
	55.1%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
	46.7%	(/.f64 x #s(literal 1/6 binary64))
▶	46.8%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
▶	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	55.2%	(.f64 (.f64 x x) #s(literal -9 binary64))
▶	55.1%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
	99.7%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
✓	55.2%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	55.2%	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	46.8%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 183 to 133 computations (27.3% saved)

simplify11.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)))
✓	cost-diff	0	(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	1088	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 x #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	320	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Rules

182×	`-lowering-.f32`
182×	`-lowering-.f64`
120×	`accelerator-lowering-fma.f32`
120×	`accelerator-lowering-fma.f64`
62×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	92
1	54	92
2	91	92
3	104	92
4	112	92
5	130	92
6	157	92
7	167	92
8	175	92
0	175	85

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ (* x -9) 6) x)
(+ (* x -9) 6)
x
-9
6
(* (* x x) -9)
(* x x)
x
-9
(* (* x 3) (* x -3))
(* x 3)
x
3
(* x -3)
-3
(/ 6 (/ 1 x))
6
(/ 1 x)
1
x
(/ (* x (+ (* (* x x) 81) -36)) (+ (* x -9) -6))
(* x (+ (* (* x x) 81) -36))
x
(+ (* (* x x) 81) -36)
(* x x)
81
-36
(+ (* x -9) -6)
-9
-6

Outputs
(* (+ (* x -9) 6) x)
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(+ (* x -9) 6)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
x
-9
#s(literal -9 binary64)
6
#s(literal 6 binary64)
(* (* x x) -9)
(.f64 #s(literal -9 binary64) (.f64 x x))
(* x x)
(*.f64 x x)
x
-9
#s(literal -9 binary64)
(* (* x 3) (* x -3))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(* x -3)
(*.f64 x #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(/ 6 (/ 1 x))
(*.f64 x #s(literal 6 binary64))
6
#s(literal 6 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ (* x (+ (* (* x x) 81) -36)) (+ (* x -9) -6))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(* x (+ (* (* x x) 81) -36))
(.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)))
x
(+ (* (* x x) 81) -36)
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
(* x x)
(*.f64 x x)
81
#s(literal 81 binary64)
-36
#s(literal -36 binary64)
(+ (* x -9) -6)
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
-9
#s(literal -9 binary64)
-6
#s(literal -6 binary64)

localize112.0ms (1.3%)

Memory

-33.5MiB live, 202.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
✓	accuracy	94.5%	(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Samples

52.0ms	89×	5	exit
21.0ms	153×	0	valid
2.0ms	7×	1	valid
2.0ms	5×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 91 to 26 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 21.0ms (42.5% of total)

ival-div: 12.0ms (24.3% of total)

adjust: 9.0ms (18.2% of total)

ival-add: 6.0ms (12.1% of total)

exact: 1.0ms (2% of total)

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

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

series5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (* (+ (* x -9) 6) x)>
#<alt (+ (* x -9) 6)>
#<alt (* (* x x) -9)>
#<alt (* x x)>
#<alt (* (* x 3) (* x -3))>
#<alt (* x 3)>
#<alt (* x -3)>
#<alt (/ 6 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (* x (+ (* (* x x) 81) -36)) (+ (* x -9) -6))>
#<alt (* x (+ (* (* x x) 81) -36))>
#<alt (+ (* (* x x) 81) -36)>

Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (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 (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 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 (* 6 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -36 x)>
#<alt (* x (- (* 81 (pow x 2)) 36))>
#<alt (* x (- (* 81 (pow x 2)) 36))>
#<alt (* x (- (* 81 (pow x 2)) 36))>
#<alt (* 81 (pow x 3))>
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))>
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))>
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))>
#<alt -36>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ 6 (/ 1 x))
1.0ms	x	@	inf	(/ (* x (+ (* (* x x) 81) -36)) (+ (* x -9) -6))
0.0ms	x	@	0	(/ (* x (+ (* (* x x) 81) -36)) (+ (* x -9) -6))
0.0ms	x	@	-inf	(/ (* x (+ (* (* x x) 81) -36)) (+ (* x -9) -6))
0.0ms	x	@	inf	(* x (+ (* (* x x) 81) -36))

rewrite588.0ms (6.9%)

Memory

-101.9MiB live, 634.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 540×	`accelerator-lowering-fma.f32`
6 540×	`accelerator-lowering-fma.f64`
4 748×	`-lowering-.f32`
4 748×	`-lowering-.f64`
3 456×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	116	60
2	705	60
3	7598	60
0	8235	55

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 909

Calls

Call 1

Inputs
(* (+ (* x -9) 6) x)
(+ (* x -9) 6)
(* (* x x) -9)
(* x x)
(* (* x 3) (* x -3))
(* x 3)
(* x -3)
(/ 6 (/ 1 x))
(/ 1 x)
(/ (* x (+ (* (* x x) 81) -36)) (+ (* x -9) -6))
(* x (+ (* (* x x) 81) -36))
(+ (* (* x x) 81) -36)

Outputs
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x #s(literal -36 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x #s(literal -36 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))))
(+.f64 (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64))) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (.f64 (.f64 x x) #s(literal 81 binary64))))
(+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))))) (.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))))))
(+.f64 (.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal -6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 6 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -6 binary64) (neg.f64 x) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal -6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 x) #s(literal -6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))))))
(fma.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 x #s(literal -36 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x #s(literal -36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal 81 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (*.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(fma.f64 (.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64))))
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (.f64 (*.f64 x x) #s(literal 81 binary64))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 (.f64 x #s(literal -9 binary64)) #s(literal -1 binary64)) (neg.f64 x) (*.f64 x #s(literal 6 binary64)))
(neg.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))))
(/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(/.f64 (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) x))
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(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1296 binary64) (.f64 #s(literal -6561 binary64) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal -36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (fma.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))) (.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))))) (fma.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) (.f64 #s(literal 282429536481 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -101559956668416 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64)))) (-.f64 (fma.f64 #s(literal 282429536481 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 2176782336 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -24794911296 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 282429536481 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -2176782336 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal 46656 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 282429536481 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -2176782336 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 43046721 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 8503056 binary64) #s(literal 1679616 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 43046721 binary64) #s(literal -1679616 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal 1296 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)))
(.f64 (+.f64 #s(literal 1296 binary64) (.f64 #s(literal -6561 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64)) (fma.f64 (.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64))) (.f64 #s(literal 282429536481 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 43046721 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) (.f64 x (.f64 x #s(literal -2916 binary64)))))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) (.f64 x (.f64 x #s(literal -2916 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal 46656 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (*.f64 x #s(literal -2916 binary64)) #s(literal 1296 binary64))))

simplify229.0ms (2.7%)

Memory

1.2MiB live, 252.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 984×	`accelerator-lowering-fma.f32`
3 984×	`accelerator-lowering-fma.f64`
2 930×	`-lowering-.f32`
2 930×	`-lowering-.f64`
1 262×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	672
1	100	672
2	232	672
3	630	672
4	1650	672
5	4223	672
6	6405	672
0	8067	627

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (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)
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -36 x)
(* x (- (* 81 (pow x 2)) 36))
(* x (- (* 81 (pow x 2)) 36))
(* x (- (* 81 (pow x 2)) 36))
(* 81 (pow x 3))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* 81 (pow x 3))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
-36
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))

Outputs
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 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)
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* x (- (* 81 (pow x 2)) 36))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* x (- (* 81 (pow x 2)) 36))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* x (- (* 81 (pow x 2)) 36))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* 81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 81 binary64)))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* 81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 81 binary64)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
-36
#s(literal -36 binary64)
(- (* 81 (pow x 2)) 36)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(- (* 81 (pow x 2)) 36)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(- (* 81 (pow x 2)) 36)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(* 81 (pow x 2))
(.f64 (.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(* 81 (pow x 2))
(.f64 (.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))

eval140.0ms (1.6%)

Memory: 31.4MiB live, 260.5MiB allocated
Compiler: Compiled 23 307 to 1 986 computations (91.5% saved)

prune122.0ms (1.4%)

Memory

2.5MiB live, 238.9MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	1 085	2	1 087
Fresh	1	3	4
Picked	1	4	5
Done	0	4	4
Total	1 087	13	1 100

Accuracy

100.0%

Counts

1 100 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	99.5%	(/.f64 (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
▶	45.4%	(/.f64 (*.f64 x #s(literal -36 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
▶	55.1%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
▶	46.7%	(/.f64 x #s(literal 1/6 binary64))
✓	46.8%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	55.2%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	55.1%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
▶	99.7%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
✓	55.2%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	55.2%	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	46.8%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 142 to 105 computations (26.1% saved)

simplify421.0ms (4.9%)

Memory

-15.0MiB live, 190.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64))
✓	cost-diff	192	(/.f64 (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
✓	cost-diff	512	(*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -36 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal -36 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1/9 binary64) x)
✓	cost-diff	768	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
✓	cost-diff	384	(/.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -3 binary64))
✓	cost-diff	320	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))

Rules

3 368×	`accelerator-lowering-fma.f32`
3 368×	`accelerator-lowering-fma.f64`
2 358×	`-lowering-.f32`
2 358×	`-lowering-.f64`
2 020×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	107
1	63	105
2	145	101
3	216	101
4	316	97
5	464	97
6	697	97
7	1336	95
8	2206	95
9	3375	95
10	4103	95
11	4342	95
12	4452	95
13	4658	95
14	4740	95
15	5025	95
16	5280	95
17	5574	95
18	5826	95
19	6080	95
20	6327	95
21	6329	95
22	6329	95
23	6339	95
24	6699	95
25	7361	95
0	8296	89

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* x -3) (+ (* 3 x) -2))
(* x -3)
x
-3
(+ (* 3 x) -2)
3
-2
(/ x 1/6)
x
1/6
(/ x (/ -1/9 x))
x
(/ -1/9 x)
-1/9
(/ (* x -36) (+ (* x -9) -6))
(* x -36)
x
-36
(+ (* x -9) -6)
-9
-6
(/ (+ (* (* x x) -81) 36) (* (/ -1 x) (+ (* x -9) -6)))
(+ (* (* x x) -81) 36)
(* x x)
x
-81
36
(* (/ -1 x) (+ (* x -9) -6))
(/ -1 x)
-1
(+ (* x -9) -6)
-9
-6

Outputs
(* (* x -3) (+ (* 3 x) -2))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x -3)
(*.f64 x #s(literal -3 binary64))
x
-3
#s(literal -3 binary64)
(+ (* 3 x) -2)
(fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))
3
#s(literal 3 binary64)
-2
#s(literal -2 binary64)
(/ x 1/6)
(*.f64 x #s(literal 6 binary64))
x
1/6
#s(literal 1/6 binary64)
(/ x (/ -1/9 x))
(.f64 x (.f64 x #s(literal -9 binary64)))
x
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
-1/9
#s(literal -1/9 binary64)
(/ (* x -36) (+ (* x -9) -6))
(/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))
(* x -36)
(*.f64 x #s(literal -36 binary64))
x
-36
#s(literal -36 binary64)
(+ (* x -9) -6)
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
-9
#s(literal -9 binary64)
-6
#s(literal -6 binary64)
(/ (+ (* (* x x) -81) 36) (* (/ -1 x) (+ (* x -9) -6)))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -81 binary64)) #s(literal 36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))
(+ (* (* x x) -81) 36)
(fma.f64 x (*.f64 x #s(literal -81 binary64)) #s(literal 36 binary64))
(* x x)
(*.f64 x x)
x
-81
#s(literal -81 binary64)
36
#s(literal 36 binary64)
(* (/ -1 x) (+ (* x -9) -6))
(+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 9 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(+ (* x -9) -6)
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
-9
#s(literal -9 binary64)
-6
#s(literal -6 binary64)

localize174.0ms (2%)

Memory

-9.8MiB live, 260.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64))
✓	accuracy	99.9%	(/.f64 (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -36 binary64))
✓	accuracy	99.9%	(/.f64 (*.f64 x #s(literal -36 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	99.7%	(/.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))

Samples

103.0ms	89×	5	exit
30.0ms	160×	0	valid
1.0ms	3×	2	valid
1.0ms	4×	1	valid

Compiler

Compiled 100 to 31 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-add: 33.0ms (31.2% of total)

const: 30.0ms (28.4% of total)

ival-mult: 18.0ms (17% of total)

ival-div: 15.0ms (14.2% of total)

adjust: 8.0ms (7.6% of total)

exact: 1.0ms (0.9% of total)

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

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

series8.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (* (* x -3) (+ (* 3 x) -2))>
#<alt (* x -3)>
#<alt (+ (* 3 x) -2)>
#<alt (/ x 1/6)>
#<alt (/ x (/ -1/9 x))>
#<alt (/ -1/9 x)>
#<alt (/ (* x -36) (+ (* x -9) -6))>
#<alt (* x -36)>
#<alt (+ (* x -9) -6)>
#<alt (* (/ -1 x) (+ (* x -9) -6))>
#<alt (/ (+ (* (* x x) -81) 36) (* (/ -1 x) (+ (* x -9) -6)))>
#<alt (+ (* (* x x) -81) 36)>
#<alt (* x x)>

Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt -2>
#<alt (- (* 3 x) 2)>
#<alt (- (* 3 x) 2)>
#<alt (- (* 3 x) 2)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 2 (/ 1 x))))>
#<alt (* x (- 3 (* 2 (/ 1 x))))>
#<alt (* x (- 3 (* 2 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 3)))>
#<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 (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* x (- (* 27/2 x) 9))))>
#<alt (* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))))>
#<alt 4>
#<alt (- 4 (* 8/3 (/ 1 x)))>
#<alt (- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x)))>
#<alt (- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))>
#<alt 4>
#<alt (- 4 (* 8/3 (/ 1 x)))>
#<alt (+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))>
#<alt (+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))>
#<alt (* -36 x)>
#<alt (* -36 x)>
#<alt (* -36 x)>
#<alt (* -36 x)>
#<alt (* -36 x)>
#<alt (* -36 x)>
#<alt (* -36 x)>
#<alt (* -36 x)>
#<alt (* -36 x)>
#<alt (* -36 x)>
#<alt (* -36 x)>
#<alt (* -36 x)>
#<alt -6>
#<alt (- (* -9 x) 6)>
#<alt (- (* -9 x) 6)>
#<alt (- (* -9 x) 6)>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))>
#<alt (/ 6 x)>
#<alt (/ (+ 6 (* 9 x)) x)>
#<alt (/ (+ 6 (* 9 x)) x)>
#<alt (/ (+ 6 (* 9 x)) x)>
#<alt 9>
#<alt (+ 9 (* 6 (/ 1 x)))>
#<alt (+ 9 (* 6 (/ 1 x)))>
#<alt (+ 9 (* 6 (/ 1 x)))>
#<alt 9>
#<alt (+ 9 (* 6 (/ 1 x)))>
#<alt (+ 9 (* 6 (/ 1 x)))>
#<alt (+ 9 (* 6 (/ 1 x)))>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 36>
#<alt (+ 36 (* -81 (pow x 2)))>
#<alt (+ 36 (* -81 (pow x 2)))>
#<alt (+ 36 (* -81 (pow x 2)))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<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

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (+ (* (* x x) -81) 36) (* (/ -1 x) (+ (* x -9) -6)))
1.0ms	x	@	0	(/ (+ (* (* x x) -81) 36) (* (/ -1 x) (+ (* x -9) -6)))
0.0ms	x	@	0	(* (* x -3) (+ (* 3 x) -2))
0.0ms	x	@	inf	(* (* x -3) (+ (* 3 x) -2))
0.0ms	x	@	0	(/ -1/9 x)

rewrite479.0ms (5.6%)

Memory

9.8MiB live, 726.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 144×	`accelerator-lowering-fma.f32`
8 144×	`accelerator-lowering-fma.f64`
5 442×	`-lowering-.f32`
5 442×	`-lowering-.f64`
3 984×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	73
1	147	72
2	1019	67
0	8879	60

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1 241

Calls

Call 1

Inputs
(* (* x -3) (+ (* 3 x) -2))
(* x -3)
(+ (* 3 x) -2)
(/ x 1/6)
(/ x (/ -1/9 x))
(/ -1/9 x)
(/ (* x -36) (+ (* x -9) -6))
(* x -36)
(+ (* x -9) -6)
(* (/ -1 x) (+ (* x -9) -6))
(/ (+ (* (* x x) -81) 36) (* (/ -1 x) (+ (* x -9) -6)))
(+ (* (* x x) -81) 36)
(* x x)

Outputs
(+.f64 (/.f64 x (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) #s(literal -1/36 binary64))) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal -81 binary64))))
(+.f64 (/.f64 x (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) #s(literal -1/36 binary64))) (.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 x (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) #s(literal -1/36 binary64))))
(+.f64 (.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 54 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (-.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64)))) (.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (.f64 x (*.f64 x #s(literal 81 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (.f64 x #s(literal -9 binary64))) (.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) #s(literal 6 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 x (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) #s(literal -1/36 binary64))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (.f64 (-.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal -9 binary64)) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))) #s(literal -1 binary64)))
(-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal -6 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (-.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 x (-.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal -81 binary64)) #s(literal -36 binary64))) (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) x)) (/.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 x (.f64 x #s(literal -81 binary64)) #s(literal -36 binary64))) (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) x)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) x))) (/.f64 #s(literal 1296 binary64) (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) x))))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 x (/.f64 #s(literal -36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal -81 binary64))))
(fma.f64 x (/.f64 #s(literal -36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (.f64 (*.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x #s(literal -2 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -3 binary64)) #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 x #s(literal -2 binary64))) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -2 binary64) (.f64 x #s(literal -3 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal -81 binary64))))
(fma.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (.f64 (*.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 #s(literal -36 binary64) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal -81 binary64))))
(fma.f64 #s(literal -36 binary64) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 (.f64 x #s(literal -36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal -81 binary64))))
(fma.f64 (.f64 x #s(literal -36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -9 binary64)) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (.f64 #s(literal 6 binary64) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))))
(fma.f64 (.f64 x #s(literal -9 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -6 binary64) (neg.f64 x) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (/.f64 x (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) #s(literal -1/36 binary64))) #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal -81 binary64))))
(fma.f64 (/.f64 x (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) #s(literal -1/36 binary64))) #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal -6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x #s(literal -36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal -81 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x #s(literal -36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 x (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) #s(literal -1/36 binary64))))
(fma.f64 #s(literal 36 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal -81 binary64))))
(fma.f64 #s(literal 36 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 (*.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (neg.f64 x) #s(literal -6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (neg.f64 x) (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal -81 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (.f64 (*.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 (neg.f64 x) (.f64 #s(literal -36 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal -81 binary64))))
(fma.f64 (neg.f64 x) (.f64 #s(literal -36 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) #s(literal -1/36 binary64))) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal -81 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) #s(literal -1/36 binary64))) (.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal -81 binary64))))
(fma.f64 (.f64 x #s(literal 36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (.f64 (-.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))))
(fma.f64 (-.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 x (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) #s(literal -1/36 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) #s(literal 36 binary64) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal -81 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) #s(literal 36 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 x #s(literal -36 binary64)) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal -81 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 x #s(literal -36 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal -1/36 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal -81 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal -1/36 binary64) x) #s(literal -1 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal -81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(fma.f64 (.f64 x #s(literal 6 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (/.f64 #s(literal -36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) x (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal -81 binary64))))
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(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -531441 binary64)) #s(literal 46656 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) (-.f64 #s(literal 1296 binary64) (.f64 (*.f64 x x) #s(literal -2916 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal -2916 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -531441 binary64)) #s(literal 46656 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)))
(.f64 (+.f64 #s(literal 1296 binary64) (.f64 #s(literal -6561 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64))) (fma.f64 x (.f64 x #s(literal -81 binary64)) #s(literal 36 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -531441 binary64)) #s(literal 46656 binary64)) (fma.f64 #s(literal 282429536481 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal -2916 binary64))) (.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal -2916 binary64))) (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal -2916 binary64))))))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 43046721 binary64) (.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal -2916 binary64))) (-.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal -2916 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 6561 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -531441 binary64)) #s(literal 46656 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal -2916 binary64)))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) (.f64 (.f64 x x) #s(literal -2916 binary64))))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) (.f64 (.f64 x x) #s(literal -2916 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -531441 binary64)) #s(literal -46656 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal -2916 binary64)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify661.0ms (7.8%)

Memory

-17.7MiB live, 582.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 864×	`accelerator-lowering-fma.f32`
8 864×	`accelerator-lowering-fma.f64`
2 934×	`-lowering-.f32`
2 934×	`-lowering-.f64`
2 270×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	742
1	242	742
2	504	734
3	1025	730
4	2190	712
5	4656	712
6	7362	712
0	8310	661

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
-2
(- (* 3 x) 2)
(- (* 3 x) 2)
(- (* 3 x) 2)
(* 3 x)
(* x (- 3 (* 2 (/ 1 x))))
(* x (- 3 (* 2 (/ 1 x))))
(* x (- 3 (* 2 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 2 (/ 1 x)) 3)))
(* -1 (* x (- (* 2 (/ 1 x)) 3)))
(* -1 (* x (- (* 2 (/ 1 x)) 3)))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* x (- (* 27/2 x) 9))))
(* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))))
4
(- 4 (* 8/3 (/ 1 x)))
(- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x)))
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))
4
(- 4 (* 8/3 (/ 1 x)))
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))
(* -36 x)
(* -36 x)
(* -36 x)
(* -36 x)
(* -36 x)
(* -36 x)
(* -36 x)
(* -36 x)
(* -36 x)
(* -36 x)
(* -36 x)
(* -36 x)
-6
(- (* -9 x) 6)
(- (* -9 x) 6)
(- (* -9 x) 6)
(* -9 x)
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -9 x)
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(/ 6 x)
(/ (+ 6 (* 9 x)) x)
(/ (+ 6 (* 9 x)) x)
(/ (+ 6 (* 9 x)) x)
9
(+ 9 (* 6 (/ 1 x)))
(+ 9 (* 6 (/ 1 x)))
(+ 9 (* 6 (/ 1 x)))
9
(+ 9 (* 6 (/ 1 x)))
(+ 9 (* 6 (/ 1 x)))
(+ 9 (* 6 (/ 1 x)))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
36
(+ 36 (* -81 (pow x 2)))
(+ 36 (* -81 (pow x 2)))
(+ 36 (* -81 (pow x 2)))
(* -81 (pow x 2))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* -81 (pow x 2))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(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
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
-2
#s(literal -2 binary64)
(- (* 3 x) 2)
(fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))
(- (* 3 x) 2)
(fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))
(- (* 3 x) 2)
(fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (- 3 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))
(* x (- 3 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))
(* x (- 3 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))
(* 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)
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* x (- (* 27/2 x) 9))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 27/2 binary64) #s(literal -9 binary64)) #s(literal 6 binary64)))
(* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81/4 binary64) #s(literal 27/2 binary64)) #s(literal -9 binary64)) #s(literal 6 binary64)))
4
#s(literal 4 binary64)
(- 4 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x))
(- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/9 binary64) x) #s(literal -8/3 binary64)) x))
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32/27 binary64) x) #s(literal -16/9 binary64)) x)) x))
4
#s(literal 4 binary64)
(- 4 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x))
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/9 binary64) x) #s(literal -8/3 binary64)) x))
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32/27 binary64) x) #s(literal -16/9 binary64)) x)) x))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
-6
#s(literal -6 binary64)
(- (* -9 x) 6)
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
(- (* -9 x) 6)
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
(- (* -9 x) 6)
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ (+ 6 (* 9 x)) x)
(+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 9 binary64))
(/ (+ 6 (* 9 x)) x)
(+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 9 binary64))
(/ (+ 6 (* 9 x)) x)
(+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 9 binary64))
9
#s(literal 9 binary64)
(+ 9 (* 6 (/ 1 x)))
(+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 9 binary64))
(+ 9 (* 6 (/ 1 x)))
(+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 9 binary64))
(+ 9 (* 6 (/ 1 x)))
(+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 9 binary64))
9
#s(literal 9 binary64)
(+ 9 (* 6 (/ 1 x)))
(+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 9 binary64))
(+ 9 (* 6 (/ 1 x)))
(+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 9 binary64))
(+ 9 (* 6 (/ 1 x)))
(+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 9 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
36
#s(literal 36 binary64)
(+ 36 (* -81 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -81 binary64)) #s(literal 36 binary64))
(+ 36 (* -81 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -81 binary64)) #s(literal 36 binary64))
(+ 36 (* -81 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -81 binary64)) #s(literal 36 binary64))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 x (*.f64 x #s(literal -81 binary64)) #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 x (*.f64 x #s(literal -81 binary64)) #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 x (*.f64 x #s(literal -81 binary64)) #s(literal 36 binary64))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 x (*.f64 x #s(literal -81 binary64)) #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 x (*.f64 x #s(literal -81 binary64)) #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 x (*.f64 x #s(literal -81 binary64)) #s(literal 36 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)

eval236.0ms (2.8%)

Memory: 12.9MiB live, 401.1MiB allocated
Compiler: Compiled 31 873 to 2 178 computations (93.2% saved)

prune149.0ms (1.7%)

Memory

-30.4MiB live, 383.0MiB allocated

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	1 472	4	1 476
Fresh	0	0	0
Picked	3	2	5
Done	0	8	8
Total	1 475	14	1 489

Accuracy

100.0%

Counts

1 489 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	56.5%	(/.f64 (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (/.f64 #s(literal 6 binary64) x))
	55.1%	(/.f64 (*.f64 x x) #s(literal -1/9 binary64))
	46.8%	(/.f64 (*.f64 x #s(literal -36 binary64)) #s(literal -6 binary64))
✓	46.7%	(/.f64 x #s(literal 1/6 binary64))
✓	46.8%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	55.2%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	55.1%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
✓	99.7%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
✓	55.2%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	55.2%	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	46.8%	(*.f64 x #s(literal 6 binary64))
	2.2%	#s(literal 4 binary64)

Compiler

Compiled 261 to 132 computations (49.4% saved)

regimes16.0ms (0.2%)

Memory

7.0MiB live, 44.7MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -9 binary64) x) x)
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (*.f64 x #s(literal -36 binary64)) #s(literal -6 binary64))
(/.f64 (*.f64 x x) #s(literal -1/9 binary64))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (*.f64 x #s(literal -36 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (/.f64 #s(literal 6 binary64) x))
(/.f64 (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) x)))

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

Calls

2 calls:

8.0ms	x
6.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -9 binary64) x) x)
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (*.f64 x #s(literal -36 binary64)) #s(literal -6 binary64))
(/.f64 (*.f64 x x) #s(literal -1/9 binary64))

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

Calls

2 calls:

4.0ms	x
4.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

-25.3MiB live, 14.2MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -9 binary64) x) x)
(.f64 (.f64 x x) #s(literal -9 binary64))

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

Calls

2 calls:

3.0ms	x
2.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
96.8%	3	`x`
96.8%	2	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes2.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(.f64 #s(literal -9 binary64) (.f64 x x))

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

Calls

1 calls:

2.0ms

(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
96.8%	2	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))

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

Calls

2 calls:

2.0ms	x
1.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
46.8%	1	`x`
46.8%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4 binary64)

Outputs
#s(literal 4 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
2.2%	1	`x`
2.2%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-16.67067990934778	-0.3977530256612843

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-16.67067990934778	-0.3977530256612843

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify10.0ms (0.1%)

Memory

-15.5MiB live, 24.0MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	58
1	36	58
2	48	58
3	54	58
4	58	58
5	59	58

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -10 binary64)) (.f64 (.f64 #s(literal -9 binary64) x) x) (.f64 x #s(literal 6 binary64)))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -10 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)) (.f64 x #s(literal 6 binary64)))
(*.f64 x #s(literal 6 binary64))
#s(literal 4 binary64)

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -10 binary64)) (.f64 (.f64 #s(literal -9 binary64) x) x) (.f64 x #s(literal 6 binary64)))
(if (<=.f64 (.f64 x (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))) #s(literal -10 binary64)) (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -10 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)) (.f64 x #s(literal 6 binary64)))
(if (<=.f64 (.f64 x (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))) #s(literal -10 binary64)) (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(*.f64 x #s(literal 6 binary64))
#s(literal 4 binary64)

soundness1.1s (12.9%)

Memory

1.8MiB live, 636.5MiB allocated

Rules

15 340×	`accelerator-lowering-fma.f32`
15 340×	`accelerator-lowering-fma.f64`
8 864×	`accelerator-lowering-fma.f32`
8 864×	`accelerator-lowering-fma.f64`
7 444×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	742
1	242	742
2	504	734
3	1025	730
4	2190	712
5	4656	712
6	7362	712
0	8310	661
0	32	216
1	82	216
2	169	216
3	406	216
4	1019	216
5	1335	216
6	2557	216
7	5031	216
8	6891	216
9	7986	216
0	8012	189
0	19	60
1	79	56
2	479	56
3	5095	56
0	8074	52
0	7	24
1	31	24
2	206	20
3	1714	20
0	9540	17
0	42	672
1	100	672
2	232	672
3	630	672
4	1650	672
5	4223	672
6	6405	672
0	8067	627

Stop Event

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

Compiler

Compiled 133 to 75 computations (43.6% saved)

preprocess57.0ms (0.7%)

Memory: 25.7MiB live, 103.6MiB allocated
Compiler: Compiled 158 to 72 computations (54.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample878.0ms (10.3%)

preprocess144.0ms (1.7%)

explain188.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify67.0ms (0.8%)

localize69.0ms (0.8%)

series3.0ms (0%)

rewrite537.0ms (6.3%)

simplify572.0ms (6.7%)

eval262.0ms (3.1%)

prune326.0ms (3.8%)

simplify7.0ms (0.1%)

localize70.0ms (0.8%)

series8.0ms (0.1%)

rewrite361.0ms (4.2%)

simplify276.0ms (3.2%)

eval150.0ms (1.8%)

prune64.0ms (0.8%)

simplify11.0ms (0.1%)

localize112.0ms (1.3%)

series5.0ms (0.1%)

rewrite588.0ms (6.9%)

simplify229.0ms (2.7%)

eval140.0ms (1.6%)

prune122.0ms (1.4%)

simplify421.0ms (4.9%)

localize174.0ms (2%)

series8.0ms (0.1%)

rewrite479.0ms (5.6%)

simplify661.0ms (7.8%)

eval236.0ms (2.8%)

prune149.0ms (1.7%)

regimes16.0ms (0.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.1s (12.9%)

preprocess57.0ms (0.7%)

end0.0ms (0%)

Profiling