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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample693.0ms (8.9%)

Memory

0.4MiB live, 1 073.4MiB allocated

Samples

414.0ms	7 614×	0	valid
35.0ms	311×	2	valid
28.0ms	331×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 262.0ms

ival-mult: 185.0ms (70.6% of total)

ival-sub: 54.0ms (20.6% of total)

exact: 8.0ms (3.1% of total)

adjust: 7.0ms (2.7% of total)

ival-true: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess83.0ms (1.1%)

Memory

3.4MiB live, 113.5MiB allocated

Algorithm

2×	egg-herbie

Rules

776×	`accelerator-lowering-fma.f32`
776×	`accelerator-lowering-fma.f64`
480×	`-lowering-.f32`
480×	`-lowering-.f64`
376×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	43	27
2	117	21
3	412	21
4	1256	21
5	1635	21
6	1755	21
7	1761	21
8	1761	21
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 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))

Call 2

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

Outputs
(* (* 3 (- 2 (* x 3))) x)
(* x (+ 6 (* x -9)))
(* (* 3 (- 2 (* (neg x) 3))) (neg x))
(* x (+ (* x -9) -6))
(neg (* (* 3 (- 2 (* (neg x) 3))) (neg x)))
(* x (+ 6 (* x 9)))

explain207.0ms (2.7%)

Memory

5.0MiB live, 200.3MiB 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	410×	0	valid
7.0ms	54×	2	valid
4.0ms	48×	1	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 (68.2% of total)

ival-sub: 3.0ms (17% of total)

adjust: 1.0ms (5.7% of total)

exact: 1.0ms (5.7% 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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.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)

simplify106.0ms (1.4%)

Memory

30.0MiB live, 69.5MiB 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 #s(literal 2 binary64) (*.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 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 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* 3 (- 2 (* x 3)))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
3
#s(literal 3 binary64)
(- 2 (* x 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
2
#s(literal 2 binary64)
(* x 3)
(*.f64 #s(literal 3 binary64) x)
x

localize159.0ms (2%)

Memory

-28.7MiB live, 50.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.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)
✓	accuracy	99.8%	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))

Samples

73.0ms	205×	0	valid
72.0ms	24×	1	valid
3.0ms	27×	2	valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 76.0ms (96.7% of total)

ival-sub: 2.0ms (2.5% of total)

adjust: 1.0ms (1.3% 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

3.5MiB live, 3.5MiB allocated

Counts

4 → 48

Calls

Call 1

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

rewrite782.0ms (10.1%)

Memory

-13.5MiB live, 880.7MiB 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)))
(* (* 3 (- 2 (* x 3))) x)
(- 2 (* x 3))
(* 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 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) 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) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (+.f64 (.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 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 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 (+.f64 (.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 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 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 (+.f64 (.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) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))))
(/.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (+.f64 #s(literal 24 binary64) (.f64 #s(literal 3 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 24 binary64) (.f64 #s(literal 3 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (-.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 3 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))))) (+.f64 (.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) (+.f64 (.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 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))) (+.f64 (.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 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -2 binary64)))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 24 binary64) (.f64 #s(literal 3 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 3 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x)))
(/.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) (+.f64 (.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)))))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x)))
(/.f64 (neg.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 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal 216 binary64)) (+.f64 (.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) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x)))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) #s(literal 3 binary64)))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))))
(.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)))
(.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(.f64 (+.f64 #s(literal 24 binary64) (.f64 #s(literal 3 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))))
(.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))))
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(.f64 (/.f64 (+.f64 #s(literal 512 binary64) (.f64 #s(literal 19683 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))))))
(.f64 (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))))
(.f64 (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)))))))
(.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))))
(.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (+.f64 #s(literal 8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (+.f64 (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -4 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (+.f64 #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (+.f64 #s(literal 512 binary64) (.f64 #s(literal 19683 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))) #s(literal -1/2 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)))

simplify202.0ms (2.6%)

Memory

20.3MiB live, 296.4MiB 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	996	216
5	1316	216
6	2552	216
7	5023	216
8	6871	216
9	7979	216
0	8005	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)))))
(* 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))
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)))))
(* 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))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(+ 6 (* -9 x))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(+ 6 (* -9 x))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 (.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 (.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 (.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 (+.f64 (.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 (.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 (.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 (+.f64 (.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 (.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 (.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(+ 2 (* -3 x))
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(+ 2 (* -3 x))
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 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))

eval158.0ms (2%)

Memory: 9.4MiB live, 249.2MiB allocated
Compiler: Compiled 22 493 to 2 299 computations (89.8% saved)

prune109.0ms (1.4%)

Memory

0.1MiB live, 277.8MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	886	12	898
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	887	12	899

Accuracy

100.0%

Counts

899 → 12

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)))
	17.3%	(/.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))))
	26.3%	(/.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
▶	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
	46.6%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x)))))
	99.8%	(-.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 9 binary64) (*.f64 x x)))
▶	99.8%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
▶	99.7%	(.f64 (.f64 x #s(literal -3 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -2 binary64)))
	53.8%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
▶	53.9%	(.f64 (.f64 #s(literal -9 binary64) x) x)
▶	48.5%	(*.f64 x #s(literal 6 binary64))
	53.8%	(.f64 #s(literal -9 binary64) (.f64 x x))

Compiler

Compiled 290 to 186 computations (35.9% saved)

simplify73.0ms (0.9%)

Memory

-15.1MiB live, 63.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

824×	`accelerator-lowering-fma.f32`
824×	`accelerator-lowering-fma.f64`
528×	`-lowering-.f32`
528×	`-lowering-.f64`
264×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	81
1	51	81
2	103	81
3	180	81
4	243	81
5	291	81
6	381	81
7	573	81
8	826	81
9	1240	81
10	2024	81
11	2220	81
12	2311	81
13	2317	81
14	2321	81
15	2321	81
0	2321	74

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize120.0ms (1.5%)

Memory

2.0MiB live, 159.4MiB allocated

Localize:

Found 14 expressions of interest:

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

Samples

43.0ms	195×	0	valid
42.0ms	30×	2	valid
8.0ms	31×	1	valid

Compiler

Compiled 87 to 24 computations (72.4% saved)

Precisions

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

ival-mult: 16.0ms (55.3% of total)

ival-div: 6.0ms (20.8% of total)

ival-add: 3.0ms (10.4% of total)

adjust: 2.0ms (6.9% of total)

ival-sub: 2.0ms (6.9% of total)

exact: 1.0ms (3.5% of total)

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

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

series9.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

14 → 168

Calls

Call 1

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

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 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 (* 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 (* 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 (* 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)))))>
#<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)>

Calls

42 calls:

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

rewrite362.0ms (4.7%)

Memory

-34.4MiB live, 768.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 290×	`accelerator-lowering-fma.f32`
6 290×	`accelerator-lowering-fma.f64`
3 724×	`-lowering-.f32`
3 724×	`-lowering-.f64`
2 026×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	66
1	103	66
2	688	66
3	6249	66
0	8063	59

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1 215

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 #s(literal 6 binary64) x))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 #s(literal 6 binary64) x))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) x)))
(+.f64 (.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.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) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)))) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x x)) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)))) (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x (+.f64 (.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 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 6 binary64) x))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 #s(literal 6 binary64) x))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) (*.f64 #s(literal 6 binary64) x))
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 9 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) x) (.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 9 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) x) (.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x #s(literal 9 binary64)) x (.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(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 #s(literal 6 binary64) x))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(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 #s(literal 6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -3 binary64))) (*.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -3 binary64))) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(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 #s(literal 6 binary64) x))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 6 binary64) x))
(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 1 binary64) (.f64 #s(literal 6 binary64) x) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) x)))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal -6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 6 binary64) x))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 9 binary64)) (.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 #s(literal 6 binary64) x) #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 x (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 x (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 9 binary64) (.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 6 binary64) x))
(neg.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))) (.f64 x (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 #s(literal 6 binary64) x) (-.f64 (.f64 #s(literal 6 binary64) x) (.f64 x (.f64 x #s(literal -9 binary64))))) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x x))) (+.f64 (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))) (.f64 (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (.f64 (.f64 x #s(literal -3 binary64)) (+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 (.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -3 binary64)) #s(literal 12 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.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) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (+.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 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
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(/.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.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) (.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.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)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (+.f64 #s(literal 24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -3 binary64)) #s(literal 12 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -3 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal -3 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.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 x #s(literal 9 binary64)) #s(literal -6 binary64)))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) #s(literal -3 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) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))
(.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal -3 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 6 binary64) (.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) #s(literal -36 binary64))))
(.f64 (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))
(.f64 (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))
(.f64 (+.f64 #s(literal 24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -3 binary64)) #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (+.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) (.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (+.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 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.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 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) (-.f64 (.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) #s(literal 36 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64))) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) #s(literal -36 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -3 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 6 binary64) x)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 6 binary64) x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 6 binary64) x)))))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 6 binary64) x)) (-.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 6 binary64) x)) (.f64 x (*.f64 x #s(literal 9 binary64)))))))
(.f64 (/.f64 (+.f64 #s(literal 24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -3 binary64))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (+.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -4 binary64)) (.f64 x #s(literal -6 binary64))))) (+.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -4 binary64)) (.f64 x #s(literal -6 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -3 binary64)) #s(literal 12 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -4 binary64))) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -3 binary64)) #s(literal 12 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal 8 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -6 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -9 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 9 binary64)))
(neg.f64 (*.f64 x #s(literal 9 binary64)))
(/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 #s(literal 0 binary64) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal -9 binary64))
(*.f64 #s(literal 9 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -9 binary64) x)
(.f64 #s(literal -3 binary64) (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x #s(literal -3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal -3 binary64))
(.f64 (.f64 x #s(literal -9 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 9 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 9 binary64))

simplify815.0ms (10.5%)

Memory

26.8MiB live, 459.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 560×	`accelerator-lowering-fma.f32`
8 560×	`accelerator-lowering-fma.f64`
2 382×	`-lowering-.f32`
2 382×	`-lowering-.f64`
1 494×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	770
1	223	766
2	486	760
3	985	760
4	2026	760
5	3872	760
6	6530	760
0	8107	700

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 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)
(* -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)
(* 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)))
(* 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)))))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)

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

eval229.0ms (2.9%)

Memory: 0.4MiB live, 444.3MiB allocated
Compiler: Compiled 24 689 to 1 925 computations (92.2% saved)

prune110.0ms (1.4%)

Memory

-13.2MiB live, 399.8MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1 375	8	1 383
Fresh	6	1	7
Picked	2	3	5
Done	0	0	0
Total	1 383	12	1 395

Accuracy

100.0%

Counts

1 395 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.6%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) x) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)))
	46.5%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) x)))
	53.8%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
▶	48.4%	(/.f64 x #s(literal 1/6 binary64))
▶	48.5%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
▶	99.8%	(-.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 9 binary64) (*.f64 x x)))
✓	99.8%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
▶	99.5%	(.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) x))
▶	53.8%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
	53.8%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	53.9%	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	48.5%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 206 to 153 computations (25.7% saved)

simplify162.0ms (2.1%)

Memory

14.7MiB live, 209.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -81 binary64))
✓	cost-diff	0	(+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) x))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) x)
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	cost-diff	128	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	cost-diff	0	(*.f64 x #s(literal 6 binary64))
✓	cost-diff	128	(-.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 9 binary64) (*.f64 x x)))

Rules

1 944×	`accelerator-lowering-fma.f32`
1 944×	`accelerator-lowering-fma.f64`
1 280×	`-lowering-.f32`
1 280×	`-lowering-.f64`
1 086×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	117
1	57	109
2	118	109
3	281	109
4	465	109
5	555	109
6	634	109
7	700	109
8	1151	109
9	2163	109
10	2977	109
11	3255	109
12	3437	109
13	3478	109
14	3482	109
15	3482	109
16	3486	109
0	3486	102

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize160.0ms (2.1%)

Memory

-20.7MiB live, 372.1MiB allocated

Localize:

Found 14 expressions of interest:

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

Samples

77.0ms	77×	5	exit
37.0ms	174×	0	valid
1.0ms	5×	1	valid

Compiler

Compiled 121 to 28 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 22.0ms (28.9% of total)

ival-div: 17.0ms (22.3% of total)

const: 16.0ms (21% of total)

ival-sub: 8.0ms (10.5% of total)

adjust: 7.0ms (9.2% of total)

ival-add: 4.0ms (5.2% of total)

exact: 1.0ms (1.3% of total)

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

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

series6.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite463.0ms (6%)

Memory

14.6MiB live, 652.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 582×	`accelerator-lowering-fma.f32`
8 582×	`accelerator-lowering-fma.f64`
5 936×	`-lowering-.f32`
5 936×	`-lowering-.f64`
3 562×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	81
1	126	73
2	904	73
0	8685	68

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 905

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (/.f64 x #s(literal 1/6 binary64)))
(+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) x)) (.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))) (neg.f64 (/.f64 (.f64 (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) x)) (.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))))
(+.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) x)) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))))
(+.f64 (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(-.f64 (/.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 x #s(literal 1/6 binary64))))
(-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (/.f64 x #s(literal -1/6 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) x)) (.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))) (/.f64 (.f64 (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) x)) (.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))))
(-.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) x)) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(-.f64 (+.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 x (*.f64 x #s(literal -9 binary64)) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 x (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))) #s(literal 36 binary64)) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 x (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 x (.f64 (.f64 x #s(literal -81 binary64)) (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 9 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -9 binary64) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal -81 binary64) (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/6 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 1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -3 binary64))) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -3 binary64)) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 x (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 x #s(literal 36 binary64)) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 36 binary64) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(fma.f64 (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal 36 binary64) (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal -81 binary64) (.f64 (.f64 x x) (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -9 binary64))) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 9 binary64)) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) x)) (.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))) (neg.f64 (/.f64 (.f64 (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) x)) (.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))))
(fma.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))))
(fma.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 1 binary64) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal -9 binary64) (*.f64 x x) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal -81 binary64)) (.f64 x (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(fma.f64 (*.f64 x #s(literal -9 binary64)) x (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal 9 binary64) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.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 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 (.f64 #s(literal -3 binary64) (.f64 x x)) #s(literal 3 binary64) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 36 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (/.f64 x #s(literal 1/6 binary64)))
(fma.f64 (/.f64 x (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 (/.f64 x (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))) #s(literal 36 binary64)) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 (/.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 (/.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) #s(literal 36 binary64)) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
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(fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (.f64 (.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))))
(fma.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (*.f64 x x)))))))
(fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (*.f64 x x)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) #s(literal 36 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (*.f64 x x))))) #s(literal 36 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) #s(literal 6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (.f64 x #s(literal -9 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (*.f64 x x)))))
(/.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 (+.f64 #s(literal -36 binary64) (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))) (+.f64 #s(literal -216 binary64) (neg.f64 (.f64 #s(literal 729 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (+.f64 #s(literal -36 binary64) (.f64 x (*.f64 x #s(literal 81 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) (-.f64 (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) #s(literal 36 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))) (-.f64 #s(literal 36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (+.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (-.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))
(pow.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))))
(.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))))
(.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 #s(literal -54 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.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 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -36 binary64) (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))) (+.f64 #s(literal 10077696 binary64) (.f64 (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64))))) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))) (-.f64 (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x))) #s(literal 216 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))) (-.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64)))) (-.f64 #s(literal 216 binary64) (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -216 binary64) (neg.f64 (.f64 #s(literal 729 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal -36 binary64) (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) (-.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64)))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -6561 binary64)))) (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))

simplify288.0ms (3.7%)

Memory

11.2MiB live, 399.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 050×	`accelerator-lowering-fma.f32`
8 050×	`accelerator-lowering-fma.f64`
2 300×	`-lowering-.f32`
2 300×	`-lowering-.f64`
1 520×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	898
1	280	882
2	585	874
3	1193	874
4	3327	874
5	6987	874
0	8029	835

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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

Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 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 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x 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)
(* 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)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(/ 1 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)
(* -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 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 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))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/4 x)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/4 binary64))))
(* x (+ 1/6 (* x (- (* 3/8 x) 1/4))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 3/8 binary64))))))
(* x (+ 1/6 (* x (- (* x (+ 3/8 (* -9/16 x))) 1/4))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (.f64 x #s(literal -9/16 binary64))))))))
1/9
#s(literal 1/9 binary64)
(- 1/9 (* 2/27 (/ 1 x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -2/27 binary64) x))
(- (+ 1/9 (/ 4/81 (pow x 2))) (* 2/27 (/ 1 x)))
(-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x))
(- (+ 1/9 (/ 4/81 (pow x 2))) (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x))
1/9
#s(literal 1/9 binary64)
(- 1/9 (* 2/27 (/ 1 x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -2/27 binary64) x))
(+ 1/9 (* -1 (/ (- 2/27 (* 4/81 (/ 1 x))) x)))
(-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x))
(+ 1/9 (* -1 (/ (+ 2/27 (* -1 (/ (- 4/81 (* 8/243 (/ 1 x))) x))) x)))
(-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
36
#s(literal 36 binary64)
(+ 36 (* -81 (pow x 2)))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(+ 36 (* -81 (pow x 2)))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(+ 36 (* -81 (pow x 2)))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/4 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+ 1/6 (* x (- (* 3/8 x) 1/4)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x #s(literal 3/8 binary64)))))
(+ 1/6 (* x (- (* x (+ 3/8 (* -9/16 x))) 1/4)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 x #s(literal -9/16 binary64)))))))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (- 1/9 (* 2/27 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(/ (- (+ 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)
(/ (- (+ 1/9 (/ 4/81 (pow x 2))) (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x)) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (- (* 2/27 (/ 1 x)) 1/9) x))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 4/81 (/ 1 x)) 2/27) 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 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8/243 (/ 1 x)) 4/81) x)) 2/27) x)) 1/9) x))
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x)) x)

eval134.0ms (1.7%)

Memory: -15.2MiB live, 264.8MiB allocated
Compiler: Compiled 25 949 to 1 750 computations (93.3% saved)

prune84.0ms (1.1%)

Memory

-9.7MiB live, 189.6MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 112	3	1 115
Fresh	2	2	4
Picked	1	4	5
Done	0	3	3
Total	1 115	12	1 127

Accuracy

100.0%

Counts

1 127 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) x))
▶	53.8%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
✓	48.4%	(/.f64 x #s(literal 1/6 binary64))
✓	48.5%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
▶	48.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
✓	99.8%	(-.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 9 binary64) (*.f64 x x)))
✓	99.8%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
▶	60.7%	(.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (.f64 x #s(literal 1/6 binary64)))
✓	53.8%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
▶	53.8%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	53.9%	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	48.5%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 138 to 102 computations (26.1% saved)

simplify15.0ms (0.2%)

Memory

-3.8MiB live, 34.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -81 binary64))
✓	cost-diff	0	(+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
✓	cost-diff	128	(.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1/9 binary64) x)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1/6 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -81 binary64))
✓	cost-diff	0	(+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) x))

Rules

250×	`-lowering-.f32`
250×	`-lowering-.f64`
136×	`accelerator-lowering-fma.f32`
136×	`accelerator-lowering-fma.f64`
98×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	112
1	44	112
2	70	112
3	114	110
4	174	110
5	188	110
6	206	110
7	228	110
8	238	110
9	246	110
0	246	103

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ (+ 36 (* (* x x) -81)) (/ (+ 6 (* x 9)) x))
(/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64)))) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) x))
(+ 36 (* (* x x) -81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
36
#s(literal 36 binary64)
(* (* x x) -81)
(.f64 x (.f64 x #s(literal -81 binary64)))
(* x x)
(*.f64 x x)
x
-81
#s(literal -81 binary64)
(/ (+ 6 (* x 9)) x)
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) x)
(+ 6 (* x 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
6
#s(literal 6 binary64)
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
(* (* x x) -9)
(.f64 (.f64 x x) #s(literal -9 binary64))
(* x x)
(*.f64 x x)
x
-9
#s(literal -9 binary64)
(/ 1 (/ 1/6 x))
(*.f64 x #s(literal 6 binary64))
1
#s(literal 1 binary64)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
1/6
#s(literal 1/6 binary64)
x
(/ x (/ -1/9 x))
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
x
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
-1/9
#s(literal -1/9 binary64)
(* (+ 36 (* (* x x) -81)) (* x 1/6))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -27/2 binary64))))
(+ 36 (* (* x x) -81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
36
#s(literal 36 binary64)
(* (* x x) -81)
(.f64 x (.f64 x #s(literal -81 binary64)))
(* x x)
(*.f64 x x)
x
-81
#s(literal -81 binary64)
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize164.0ms (2.1%)

Memory

40.0MiB live, 192.1MiB allocated

Localize:

Found 14 expressions of interest:

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

Samples

97.0ms	77×	5	exit
33.0ms	174×	0	valid
2.0ms	5×	1	valid

Compiler

Compiled 116 to 25 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 37.0ms (35.3% of total)

const: 36.0ms (34.3% of total)

ival-div: 20.0ms (19.1% of total)

adjust: 7.0ms (6.7% of total)

ival-add: 3.0ms (2.9% of total)

exact: 1.0ms (1% of total)

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

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

series13.0ms (0.2%)

Memory

-23.2MiB live, 14.3MiB allocated

Counts

13 → 156

Calls

Call 1

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

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 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 (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (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 (* 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 (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (* -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 (* -27/2 (pow x 2))))>
#<alt (* x (+ 6 (* -27/2 (pow x 2))))>
#<alt (* x (+ 6 (* -27/2 (pow x 2))))>
#<alt (* -27/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 6 (/ 1 (pow x 2))) 27/2))>
#<alt (* (pow x 3) (- (* 6 (/ 1 (pow x 2))) 27/2))>
#<alt (* (pow x 3) (- (* 6 (/ 1 (pow x 2))) 27/2))>
#<alt (* -27/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 27/2 (* 6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 27/2 (* 6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 27/2 (* 6 (/ 1 (pow x 2))))))>
#<alt 6>
#<alt (+ 6 (* 9 x))>
#<alt (+ 6 (* 9 x))>
#<alt (+ 6 (* 9 x))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* 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 (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>

Calls

39 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(* (+ 36 (* (* x x) -81)) (* x 1/6))
2.0ms	x	@	-inf	(* x 1/6)
0.0ms	x	@	0	(/ 1/6 x)
0.0ms	x	@	0	(/ -1/9 x)
0.0ms	x	@	-inf	(/ 1/6 x)

rewrite627.0ms (8.1%)

Memory

-165.8MiB live, 599.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 380×	`-lowering-.f32`
4 380×	`-lowering-.f64`
4 040×	`accelerator-lowering-fma.f32`
4 040×	`accelerator-lowering-fma.f64`
3 214×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	75
1	113	75
2	686	67
3	7096	67
0	8066	62

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 732

Calls

Call 1

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

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

simplify323.0ms (4.2%)

Memory

26.3MiB live, 342.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 664×	`-lowering-.f32`
3 664×	`-lowering-.f64`
2 784×	`accelerator-lowering-fma.f32`
2 784×	`accelerator-lowering-fma.f64`
1 662×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	724
1	114	724
2	229	724
3	558	724
4	1486	706
5	3157	706
6	5684	706
7	7761	706
0	8201	670

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))
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))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (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)
(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))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(* -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 (* -27/2 (pow x 2))))
(* x (+ 6 (* -27/2 (pow x 2))))
(* x (+ 6 (* -27/2 (pow x 2))))
(* -27/2 (pow x 3))
(* (pow x 3) (- (* 6 (/ 1 (pow x 2))) 27/2))
(* (pow x 3) (- (* 6 (/ 1 (pow x 2))) 27/2))
(* (pow x 3) (- (* 6 (/ 1 (pow x 2))) 27/2))
(* -27/2 (pow x 3))
(* -1 (* (pow x 3) (- 27/2 (* 6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 27/2 (* 6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 27/2 (* 6 (/ 1 (pow x 2))))))
6
(+ 6 (* 9 x))
(+ 6 (* 9 x))
(+ 6 (* 9 x))
(* 9 x)
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* 9 x)
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* 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)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)

Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
36
#s(literal 36 binary64)
(+ 36 (* -81 (pow x 2)))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(+ 36 (* -81 (pow x 2)))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(+ 36 (* -81 (pow x 2)))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 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)))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(* -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 (* -27/2 (pow x 2))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -27/2 binary64))))
(* x (+ 6 (* -27/2 (pow x 2))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -27/2 binary64))))
(* x (+ 6 (* -27/2 (pow x 2))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -27/2 binary64))))
(* -27/2 (pow x 3))
(.f64 #s(literal -27/2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 6 (/ 1 (pow x 2))) 27/2))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -27/2 binary64))))
(* (pow x 3) (- (* 6 (/ 1 (pow x 2))) 27/2))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -27/2 binary64))))
(* (pow x 3) (- (* 6 (/ 1 (pow x 2))) 27/2))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -27/2 binary64))))
(* -27/2 (pow x 3))
(.f64 #s(literal -27/2 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 27/2 (* 6 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -27/2 binary64))))
(* -1 (* (pow x 3) (- 27/2 (* 6 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -27/2 binary64))))
(* -1 (* (pow x 3) (- 27/2 (* 6 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -27/2 binary64))))
6
#s(literal 6 binary64)
(+ 6 (* 9 x))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* 9 x))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* 9 x))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 6 (/ 1 x))))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 6 (/ 1 x))))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 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))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))

eval233.0ms (3%)

Memory: -8.1MiB live, 296.9MiB allocated
Compiler: Compiled 22 167 to 1 877 computations (91.5% saved)

prune102.0ms (1.3%)

Memory

14.9MiB live, 272.9MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	1 061	3	1 064
Fresh	0	0	0
Picked	2	3	5
Done	1	6	7
Total	1 064	12	1 076

Accuracy

100.0%

Counts

1 076 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.8%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
✓	48.4%	(/.f64 x #s(literal 1/6 binary64))
	47.3%	(/.f64 #s(literal 36 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) x))
✓	48.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
✓	99.8%	(-.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 9 binary64) (*.f64 x x)))
✓	99.8%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
✓	53.8%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
✓	53.8%	(.f64 (.f64 x x) #s(literal -9 binary64))
	48.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 36 binary64))
	48.4%	(.f64 (.f64 #s(literal 36 binary64) x) #s(literal 1/6 binary64))
✓	53.9%	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	48.5%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 349 to 154 computations (55.9% saved)

regimes18.0ms (0.2%)

Memory

-1.1MiB live, 38.6MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
8.0ms	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)

regimes48.0ms (0.6%)

Memory

-26.0MiB live, 11.2MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

47.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
48.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch37.0ms (0.5%)

Memory

-9.9MiB live, 28.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.028262279932632313	1160.1691315650248
8.0ms	-2.8163771291888864	-0.014917071597997296

Samples

27.0ms

240×

valid

Compiler

Compiled 193 to 146 computations (24.4% saved)

Precisions

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

ival-mult: 4.0ms (72.7% of total)

ival-sub: 1.0ms (18.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.3%)

Memory

29.8MiB live, 29.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.028262279932632313	1160.1691315650248
8.0ms	-2.8163771291888864	-0.014917071597997296

Samples

10.0ms

240×

valid

Compiler

Compiled 193 to 146 computations (24.4% saved)

Precisions

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

ival-mult: 4.0ms (70.7% of total)

ival-sub: 1.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify31.0ms (0.4%)

Memory

-24.3MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-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	20	48
1	34	48
2	46	48
3	52	48
4	56	48
5	57	48

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 (*.f64 #s(literal -9 binary64) x) x)))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x))))
(*.f64 x #s(literal 6 binary64))

Outputs
(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
(.f64 x (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 (*.f64 #s(literal -9 binary64) x) x)))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 #s(literal 6 binary64) x) (.f64 x (*.f64 x #s(literal -9 binary64)))))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 #s(literal 6 binary64) x) (.f64 #s(literal -9 binary64) (*.f64 x x))))
(*.f64 x #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) x)

soundness550.0ms (7.1%)

Memory

8.6MiB live, 283.5MiB allocated

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	32	216
1	82	216
2	169	216
3	406	216
4	996	216
5	1316	216
6	2552	216
7	5023	216
8	6871	216
9	7979	216
0	8005	189
0	7	24
1	31	24
2	206	20
3	1714	20
0	9540	17

Stop Event

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

Compiler

Compiled 91 to 47 computations (48.4% saved)

preprocess69.0ms (0.9%)

Memory: -30.4MiB live, 150.4MiB allocated
Compiler: Compiled 146 to 68 computations (53.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	112
1	44	112
2	70	112
3	114	110
4	174	110
5	188	110
6	206	110
7	228	110
8	238	110
9	246	110
0	246	103

Iter	Nodes	Cost
0	23	112
1	44	112
2	70	112
3	114	110
4	174	110
5	188	110
6	206	110
7	228	110
8	238	110
9	246	110
0	246	103

analyze0.0ms (0%)

sample693.0ms (8.9%)

preprocess83.0ms (1.1%)

explain207.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify106.0ms (1.4%)

localize159.0ms (2%)

series3.0ms (0%)

rewrite782.0ms (10.1%)

simplify202.0ms (2.6%)

eval158.0ms (2%)

prune109.0ms (1.4%)

simplify73.0ms (0.9%)

localize120.0ms (1.5%)

series9.0ms (0.1%)

rewrite362.0ms (4.7%)

simplify815.0ms (10.5%)

eval229.0ms (2.9%)

prune110.0ms (1.4%)

simplify162.0ms (2.1%)

localize160.0ms (2.1%)

series6.0ms (0.1%)

rewrite463.0ms (6%)

simplify288.0ms (3.7%)

eval134.0ms (1.7%)

prune84.0ms (1.1%)

simplify15.0ms (0.2%)

localize164.0ms (2.1%)

series13.0ms (0.2%)

rewrite627.0ms (8.1%)

simplify323.0ms (4.2%)

eval233.0ms (3%)

prune102.0ms (1.3%)

regimes18.0ms (0.2%)

regimes48.0ms (0.6%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch37.0ms (0.5%)

bsearch20.0ms (0.3%)

simplify31.0ms (0.4%)

soundness550.0ms (7.1%)

preprocess69.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	112
1	44	112
2	70	112
3	114	110
4	174	110
5	188	110
6	206	110
7	228	110
8	238	110
9	246	110
0	246	103