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

analyze0.0ms (0%)

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)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample817.0ms (6.8%)

Results

416.0ms	7592×	0	valid
67.0ms	360×	1	valid
100.0ms	304×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 401.0ms

ival-mult: 309.0ms (77% of total)

ival-sub: 56.0ms (14% of total)

const: 19.0ms (4.7% of total)

backward-pass: 17.0ms (4.2% of total)

Bogosity

preprocess95.0ms (0.8%)

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)))

explain134.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

51.0ms	410×	0	valid
21.0ms	56×	2	valid
13.0ms	46×	1	valid

Compiler

Compiled 68 to 54 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 33.0ms (55% of total)

ival-sub: 13.0ms (21.7% of total)

backward-pass: 7.0ms (11.7% of total)

const: 6.0ms (10% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
▶	99.7%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize216.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 14 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	128	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
✓	cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
✓	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 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 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	12	40
1	31	40
2	62	40
3	110	40
4	203	40
5	290	40
6	385	40
7	586	40
8	687	40
9	778	40
10	952	40
11	1027	40
12	1027	40
13	1027	40
0	1027	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

100.0ms	205×	0	valid
14.0ms	28×	2	valid
8.0ms	23×	1	valid

Compiler

Compiled 47 to 36 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 42.0ms (73.1% of total)

ival-sub: 5.0ms (8.7% of total)

backward-pass: 4.0ms (7% of total)

const: 3.0ms (5.2% of total)

ival-add: 3.0ms (5.2% of total)

series33.0ms (0.3%)

Counts

7 → 84

Calls

Call 1

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

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 (* 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 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

21 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	(+ 6 (* x -9))
1.0ms	x	@	inf	(* (* 3 (- 2 (* x 3))) x)
1.0ms	x	@	inf	(* x (+ 6 (* x -9)))
1.0ms	x	@	-inf	(* x (+ 6 (* x -9)))
0.0ms	x	@	0	(* (* 3 (- 2 (* x 3))) x)

rewrite744.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4856×	`accelerator-lowering-fma.f32`
4856×	`accelerator-lowering-fma.f64`
4122×	`-lowering-.f32`
4122×	`-lowering-.f64`
4004×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	59	35
2	408	35
3	3275	35
0	8616	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 756

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x)) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x)) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 #s(literal 3 binary64) (.f64 x x))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 9 binary64) (neg.f64 (.f64 x x)) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (neg.f64 (.f64 x x)) #s(literal 9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal -3 binary64)) x) #s(literal 3 binary64) (*.f64 x #s(literal 6 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 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 36 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal -54 binary64)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 36 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64))))))
(/.f64 #s(literal 1 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)))) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 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 #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) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 36 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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)))) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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) (neg.f64 (/.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 (.f64 (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (.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 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64))))
(/.f64 (.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 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 (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 36 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal -54 binary64)) (.f64 x x))))))
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(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 8 binary64) (+.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 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))) (/.f64 #s(literal 8 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 x)) #s(literal 27 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 x)) #s(literal 27 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))))))) (neg.f64 (+.f64 (.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.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 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 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 64 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))) (/.f64 (.f64 #s(literal -729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))))) (neg.f64 (+.f64 (.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))) (/.f64 #s(literal 8 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 x)) #s(literal 27 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))))) (neg.f64 (+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 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 x (.f64 x #s(literal -9 binary64)))) #s(literal 1 binary64))) (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))))) (neg.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 64 binary64) (.f64 #s(literal -729 binary64) (.f64 (.f64 x (.f64 x x)) (.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 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 64 binary64) (.f64 #s(literal -729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))) (neg.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 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 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))
(.f64 (+.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 (.f64 x x) #s(literal 9 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 2 binary64) (.f64 x #s(literal 3 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)))))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 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)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 64 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)))) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))))) (+.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 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))) (-.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 64 binary64) (.f64 #s(literal -729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 9 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 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 27 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 64 binary64) (.f64 #s(literal -729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))))
(exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1 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)))

simplify312.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3138×	`-lowering-.f32`
3138×	`-lowering-.f64`
3012×	`accelerator-lowering-fma.f32`
3012×	`accelerator-lowering-fma.f64`
1366×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	380
1	82	380
2	169	380
3	406	380
4	1026	380
5	1342	380
6	2565	380
7	5054	380
8	6926	380
0	8021	335

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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

eval461.0ms (3.8%)

Compiler: Compiled 21442 to 14469 computations (32.5% saved)

prune101.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	831	9	840
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	832	10	842

Accuracy

100.0%

Counts

842 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.1%	(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -36 binary64)) x) (-.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))
▶	62.7%	(/.f64 (.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)))))
	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
	62.6%	(/.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))))))
▶	99.6%	(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
▶	99.3%	(.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 9 binary64)))))
▶	50.0%	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	99.7%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
▶	53.3%	(*.f64 x #s(literal 6 binary64))
	50.0%	(.f64 #s(literal -9 binary64) (.f64 x x))

Compiler

Compiled 236 to 176 computations (25.4% saved)

localize1.8s (14.8%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64))
✓	cost-diff	0	(+.f64 #s(literal 216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))
✓	cost-diff	0	(/.f64 (.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)))))
✓	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 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
✓	cost-diff	0	(*.f64 x #s(literal -9 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	cost-diff	0	(*.f64 x #s(literal 6 binary64))
✓	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	128	(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	99.9%	(.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64))
✓	accuracy	62.7%	(/.f64 (.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)))))
✓	accuracy	100.0%	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
✓	accuracy	99.7%	(/.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -81 binary64))
✓	accuracy	99.3%	(.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 9 binary64)))))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))

Rules

31584×	`accelerator-lowering-fma.f32`
31584×	`accelerator-lowering-fma.f64`
3008×	`+-lowering-+.f64`
3008×	`+-lowering-+.f32`
2948×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	152
1	77	152
2	146	152
3	271	150
4	410	150
5	517	150
6	682	150
7	990	150
8	1273	150
9	1398	150
10	2080	150
11	3310	150
12	4368	150
13	5169	150
14	6331	150
15	6688	150
16	7000	150
17	7277	150
18	7311	150
19	7311	150
20	7312	150
0	8618	134

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (- 2 (* x 3)) (* x 3))
(- 2 (* x 3))
2
(* x 3)
x
3
(* x 6)
6
(* (* x -9) x)
(* x -9)
-9
(* (+ 36 (* (* x x) -81)) (/ x (+ 6 (* x 9))))
(+ 36 (* (* x x) -81))
36
(* (* x x) -81)
(* x x)
-81
(/ x (+ 6 (* x 9)))
(+ 6 (* x 9))
(* x 9)
9
(/ (* x (+ 216 (* (* x (* x x)) -729))) (+ 36 (* x (- (* x 81) -54))))
(* x (+ 216 (* (* x (* x x)) -729)))
(+ 216 (* (* x (* x x)) -729))
216
(* (* x (* x x)) -729)
(* x (* x x))
-729
(+ 36 (* x (- (* x 81) -54)))
(* x (- (* x 81) -54))
(- (* x 81) -54)
(* x 81)
81
-54

Outputs
(* (- 2 (* x 3)) (* x 3))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(- 2 (* x 3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
2
#s(literal 2 binary64)
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(* x 6)
(*.f64 x #s(literal 6 binary64))
6
#s(literal 6 binary64)
(* (* x -9) x)
(.f64 #s(literal -9 binary64) (.f64 x x))
(* x -9)
(*.f64 x #s(literal -9 binary64))
-9
#s(literal -9 binary64)
(* (+ 36 (* (* x x) -81)) (/ x (+ 6 (* x 9))))
(.f64 x (/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (.f64 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 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)
-81
#s(literal -81 binary64)
(/ x (+ 6 (* x 9)))
(/.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
(+ 6 (* x 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
(/ (* x (+ 216 (* (* x (* x x)) -729))) (+ 36 (* x (- (* x 81) -54))))
(/.f64 (.f64 x (+.f64 #s(literal 216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -729 binary64))))) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 #s(literal 54 binary64) (.f64 x #s(literal -81 binary64))))))
(* x (+ 216 (* (* x (* x x)) -729)))
(.f64 x (+.f64 #s(literal 216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -729 binary64)))))
(+ 216 (* (* x (* x x)) -729))
(+.f64 #s(literal 216 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -729 binary64))))
216
#s(literal 216 binary64)
(* (* x (* x x)) -729)
(.f64 x (.f64 (*.f64 x x) #s(literal -729 binary64)))
(* x (* x x))
(.f64 x (.f64 x x))
-729
#s(literal -729 binary64)
(+ 36 (* x (- (* x 81) -54)))
(+.f64 #s(literal 36 binary64) (.f64 x (-.f64 #s(literal 54 binary64) (.f64 x #s(literal -81 binary64)))))
(* x (- (* x 81) -54))
(.f64 x (-.f64 #s(literal 54 binary64) (.f64 x #s(literal -81 binary64))))
(- (* x 81) -54)
(-.f64 #s(literal 54 binary64) (*.f64 x #s(literal -81 binary64)))
(* x 81)
(*.f64 x #s(literal 81 binary64))
81
#s(literal 81 binary64)
-54
#s(literal -54 binary64)

Results

177.0ms	187×	0	valid
43.0ms	34×	1	valid
119.0ms	34×	2	valid
2.0ms	1×	4	valid

Compiler

Compiled 173 to 106 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 264.0ms

ival-mult: 152.0ms (57.6% of total)

ival-add: 67.0ms (25.4% of total)

backward-pass: 18.0ms (6.8% of total)

ival-sub: 10.0ms (3.8% of total)

ival-div: 9.0ms (3.4% of total)

const: 7.0ms (2.7% of total)

series307.0ms (2.6%)

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (* (- 2 (* x 3)) (* x 3))>
#<alt (- 2 (* x 3))>
#<alt (* x 3)>
#<alt (* x 6)>
#<alt (* (* x -9) x)>
#<alt (* x -9)>
#<alt (* (+ 36 (* (* x x) -81)) (/ x (+ 6 (* x 9))))>
#<alt (* (* x x) -81)>
#<alt (/ x (+ 6 (* x 9)))>
#<alt (+ 6 (* x 9))>
#<alt (/ (* x (+ 216 (* (* x (* x x)) -729))) (+ 36 (* x (- (* x 81) -54))))>
#<alt (* (* x (* x x)) -729)>
#<alt (* x (* x x))>
#<alt (* x (- (* x 81) -54))>
#<alt (+ 36 (* (* x x) -81))>
#<alt (* x x)>
#<alt (* x (+ 216 (* (* x (* x x)) -729)))>
#<alt (+ 216 (* (* x (* x x)) -729))>

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 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)>
#<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 (* -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 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>
#<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 (* 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 (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 54 x)>
#<alt (* x (+ 54 (* 81 x)))>
#<alt (* x (+ 54 (* 81 x)))>
#<alt (* x (+ 54 (* 81 x)))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (+ 81 (* 54 (/ 1 x))))>
#<alt (* (pow x 2) (+ 81 (* 54 (/ 1 x))))>
#<alt (* (pow x 2) (+ 81 (* 54 (/ 1 x))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (+ 81 (* 54 (/ 1 x))))>
#<alt (* (pow x 2) (+ 81 (* 54 (/ 1 x))))>
#<alt (* (pow x 2) (+ 81 (* 54 (/ 1 x))))>
#<alt 36>
#<alt (+ 36 (* -81 (pow x 2)))>
#<alt (+ 36 (* -81 (pow x 2)))>
#<alt (+ 36 (* -81 (pow x 2)))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 216 x)>
#<alt (* x (+ 216 (* -729 (pow x 3))))>
#<alt (* x (+ 216 (* -729 (pow x 3))))>
#<alt (* x (+ 216 (* -729 (pow x 3))))>
#<alt (* -729 (pow x 4))>
#<alt (* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* -729 (pow x 4))>
#<alt (* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt 216>
#<alt (+ 216 (* -729 (pow x 3)))>
#<alt (+ 216 (* -729 (pow x 3)))>
#<alt (+ 216 (* -729 (pow x 3)))>
#<alt (* -729 (pow x 3))>
#<alt (* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* -729 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))>

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x (+ 216 (* (* x (* x x)) -729)))
2.0ms	x	@	inf	(* (+ 36 (* (* x x) -81)) (/ x (+ 6 (* x 9))))
1.0ms	x	@	inf	(/ (* x (+ 216 (* (* x (* x x)) -729))) (+ 36 (* x (- (* x 81) -54))))
1.0ms	x	@	-inf	(/ (* x (+ 216 (* (* x (* x x)) -729))) (+ 36 (* x (- (* x 81) -54))))
1.0ms	x	@	0	(/ (* x (+ 216 (* (* x (* x x)) -729))) (+ 36 (* x (- (* x 81) -54))))

rewrite876.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5438×	`accelerator-lowering-fma.f32`
5438×	`accelerator-lowering-fma.f64`
4656×	`-lowering-.f32`
4656×	`-lowering-.f64`
4278×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	120
1	169	120
2	1255	115
0	8568	104

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 605

Calls

Call 1

Inputs
(* (- 2 (* x 3)) (* x 3))
(- 2 (* x 3))
(* x 3)
(* x 6)
(* (* x -9) x)
(* x -9)
(* (+ 36 (* (* x x) -81)) (/ x (+ 6 (* x 9))))
(* (* x x) -81)
(/ x (+ 6 (* x 9)))
(+ 6 (* x 9))
(/ (* x (+ 216 (* (* x (* x x)) -729))) (+ 36 (* x (- (* x 81) -54))))
(* (* x (* x x)) -729)
(* x (* x x))
(* x (- (* x 81) -54))
(+ 36 (* (* x x) -81))
(* x x)
(* x (+ 216 (* (* x (* x x)) -729)))
(+ 216 (* (* x (* x x)) -729))

Outputs
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64))))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal 6 binary64) x (.f64 (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 6 binary64) x (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64) (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64))))
(/.f64 (.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (*.f64 x #s(literal -9 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))) (.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))) (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))) (.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (pow.f64 (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x #s(literal 6 binary64)) (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)))))))
(/.f64 (+.f64 (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (pow.f64 (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64))) (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)))) (.f64 (.f64 x #s(literal 6 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64))))) (-.f64 (.f64 x #s(literal 6 binary64)) (.f64 (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64))) (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64))))) (-.f64 (.f64 x #s(literal 6 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))))
(.f64 x (.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))))
(.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) x)
(.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))))
(.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))))
(.f64 (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))))))
(fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))) (+.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(literal -2 binary64) (*.f64 x #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(literal -2 binary64) (.f64 x #s(literal -3 binary64))))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -27 binary64)))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(literal -2 binary64) (*.f64 x #s(literal -3 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 19683 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 64 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729 binary64)) (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 16 binary64) (+.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 36 binary64) (.f64 x x)))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 10077696 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -387420489 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -729 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -729 binary64))) #s(literal -216 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -46656 binary64))) (neg.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -729 binary64))) #s(literal -216 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -531441 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 46656 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 46656 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (/.f64 #s(literal 46656 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))))) (.f64 (/.f64 #s(literal 46656 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64))))))))
(/.f64 (-.f64 #s(literal 10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 387420489 binary64))) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -729 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -729 binary64))) #s(literal -216 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 46656 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (/.f64 #s(literal 46656 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))))) (+.f64 (/.f64 #s(literal 46656 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x x) (*.f64 x #s(literal -729 binary64))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -531441 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))))
(.f64 (+.f64 #s(literal 10077696 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -387420489 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -729 binary64))) (+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -729 binary64))) #s(literal -216 binary64))))))
(.f64 (+.f64 #s(literal 10077696 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -387420489 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 46656 binary64) (.f64 #s(literal 157464 binary64) (.f64 x (*.f64 x x)))))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x x) (.f64 x #s(literal -729 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -531441 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 10077696 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -387420489 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -729 binary64))) (+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -729 binary64))) #s(literal -216 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -729 binary64))) #s(literal -216 binary64))))

simplify511.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

5596×	`accelerator-lowering-fma.f32`
5596×	`accelerator-lowering-fma.f64`
2896×	`-lowering-.f32`
2896×	`-lowering-.f64`
2460×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1114
1	319	1114
2	658	1106
3	1492	1102
4	3779	1102
5	6699	1102
0	8049	1015

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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))
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)
(* 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))
(* -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 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
(+ 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)
(* 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))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 54 x)
(* x (+ 54 (* 81 x)))
(* x (+ 54 (* 81 x)))
(* x (+ 54 (* 81 x)))
(* 81 (pow x 2))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(* 81 (pow x 2))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
36
(+ 36 (* -81 (pow x 2)))
(+ 36 (* -81 (pow x 2)))
(+ 36 (* -81 (pow x 2)))
(* -81 (pow x 2))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* -81 (pow x 2))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 216 x)
(* x (+ 216 (* -729 (pow x 3))))
(* x (+ 216 (* -729 (pow x 3))))
(* x (+ 216 (* -729 (pow x 3))))
(* -729 (pow x 4))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(* -729 (pow x 4))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
216
(+ 216 (* -729 (pow x 3)))
(+ 216 (* -729 (pow x 3)))
(+ 216 (* -729 (pow x 3)))
(* -729 (pow x 3))
(* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))
(* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))
(* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))
(* -729 (pow x 3))
(* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))

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))))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 2 (* -3 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 2 (* -3 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 6 x)
(*.f64 #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 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* 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))))
(* -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 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 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) 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 (/.f64 (-.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x) #s(literal -2/27 binary64)) 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 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x))
(+ 1/9 (* -1 (/ (+ 2/27 (* -1 (/ (- 4/81 (* 8/243 (/ 1 x))) x))) x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x) #s(literal -2/27 binary64)) 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 (+ 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)
(* 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))))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 54 x)
(*.f64 x #s(literal 54 binary64))
(* x (+ 54 (* 81 x)))
(.f64 x (+.f64 #s(literal 54 binary64) (.f64 x #s(literal 81 binary64))))
(* x (+ 54 (* 81 x)))
(.f64 x (+.f64 #s(literal 54 binary64) (.f64 x #s(literal 81 binary64))))
(* x (+ 54 (* 81 x)))
(.f64 x (+.f64 #s(literal 54 binary64) (.f64 x #s(literal 81 binary64))))
(* 81 (pow x 2))
(.f64 x (.f64 x #s(literal 81 binary64)))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(.f64 x (+.f64 #s(literal 54 binary64) (.f64 x #s(literal 81 binary64))))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(.f64 x (+.f64 #s(literal 54 binary64) (.f64 x #s(literal 81 binary64))))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(.f64 x (+.f64 #s(literal 54 binary64) (.f64 x #s(literal 81 binary64))))
(* 81 (pow x 2))
(.f64 x (.f64 x #s(literal 81 binary64)))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(.f64 x (+.f64 #s(literal 54 binary64) (.f64 x #s(literal 81 binary64))))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(.f64 x (+.f64 #s(literal 54 binary64) (.f64 x #s(literal 81 binary64))))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(.f64 x (+.f64 #s(literal 54 binary64) (.f64 x #s(literal 81 binary64))))
36
#s(literal 36 binary64)
(+ 36 (* -81 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -81 binary64))) #s(literal 36 binary64))
(+ 36 (* -81 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -81 binary64))) #s(literal 36 binary64))
(+ 36 (* -81 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -81 binary64))) #s(literal 36 binary64))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 (.f64 x (.f64 x #s(literal -81 binary64))) #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 (.f64 x (.f64 x #s(literal -81 binary64))) #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 (.f64 x (.f64 x #s(literal -81 binary64))) #s(literal 36 binary64))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 (.f64 x (.f64 x #s(literal -81 binary64))) #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 (.f64 x (.f64 x #s(literal -81 binary64))) #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 (.f64 x (.f64 x #s(literal -81 binary64))) #s(literal 36 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 216 x)
(*.f64 x #s(literal 216 binary64))
(* x (+ 216 (* -729 (pow x 3))))
(.f64 x (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64)))
(* x (+ 216 (* -729 (pow x 3))))
(.f64 x (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64)))
(* x (+ 216 (* -729 (pow x 3))))
(.f64 x (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64)))
(* -729 (pow x 4))
(.f64 #s(literal -729 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(.f64 x (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64)))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(.f64 x (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64)))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(.f64 x (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64)))
(* -729 (pow x 4))
(.f64 #s(literal -729 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(.f64 x (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64)))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(.f64 x (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64)))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(.f64 x (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64)))
216
#s(literal 216 binary64)
(+ 216 (* -729 (pow x 3)))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64))
(+ 216 (* -729 (pow x 3)))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64))
(+ 216 (* -729 (pow x 3)))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64))
(* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64))
(* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64))
(* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64))
(* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -729 binary64)))) #s(literal 216 binary64))

eval296.0ms (2.5%)

Compiler: Compiled 23684 to 14767 computations (37.6% saved)

prune163.0ms (1.4%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	845	8	853
Fresh	3	1	4
Picked	2	3	5
Done	0	1	1
Total	850	13	863

Accuracy

100.0%

Counts

863 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.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))
	52.9%	(/.f64 (.f64 x #s(literal 216 binary64)) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x) (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64))))))
✓	99.6%	(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
▶	66.5%	(.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (.f64 x #s(literal 1/6 binary64)))
	48.6%	(.f64 (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64))) #s(literal 1/9 binary64))
▶	50.0%	(.f64 (.f64 x x) #s(literal -9 binary64))
	49.9%	(.f64 (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64)))
✓	50.0%	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	99.7%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
✓	53.3%	(*.f64 x #s(literal 6 binary64))
▶	52.1%	(.f64 #s(literal 36 binary64) (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))

Compiler

Compiled 236 to 181 computations (23.3% saved)

localize1.2s (9.8%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -81 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) x)
✓	cost-diff	128	(/.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))
✓	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 x #s(literal 9 binary64))
✓	cost-diff	0	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
✓	cost-diff	128	(.f64 #s(literal 36 binary64) (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -9 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 #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)))))
✓	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	99.8%	(.f64 x (.f64 x #s(literal -81 binary64)))
✓	accuracy	99.5%	(/.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))
✓	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	99.7%	(.f64 (.f64 x x) #s(literal -81 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
✓	accuracy	99.9%	(.f64 #s(literal 36 binary64) (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
✓	accuracy	99.7%	(/.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	100.0%	(+.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	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))

Rules

8042×	`-lowering-.f32`
8042×	`-lowering-.f64`
3634×	`cube-prod`
3150×	`pow-lowering-pow.f64`
3150×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	127
1	52	125
2	83	125
3	151	123
4	240	123
5	274	123
6	306	123
7	362	123
8	504	119
9	587	119
10	638	119
11	685	117
12	717	117
13	761	117
14	802	117
15	877	117
16	983	117
17	1087	117
18	1496	117
19	1716	117
20	1868	117
21	2081	117
22	2380	117
23	2800	117
24	3349	117
25	4024	117
26	4328	117
27	4501	117
28	4638	117
29	4749	117
30	4860	117
31	5662	117
32	6085	117
33	6239	117
34	6338	117
35	6435	117
36	6532	117
37	6633	117
38	6744	117
39	6855	117
40	6966	117
41	7077	117
0	8531	108

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

98.0ms	188×	0	valid
155.0ms	51×	5	exit
48.0ms	9×	1	valid
11.0ms	8×	2	valid

Compiler

Compiled 151 to 103 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-mult: 81.0ms (43.5% of total)

backward-pass: 42.0ms (22.6% of total)

ival-div: 28.0ms (15% of total)

ival-add: 27.0ms (14.5% of total)

const: 8.0ms (4.3% of total)

series21.0ms (0.2%)

Counts

18 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite641.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5368×	`accelerator-lowering-fma.f32`
5368×	`accelerator-lowering-fma.f64`
4870×	`-lowering-.f32`
4870×	`-lowering-.f64`
3262×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	110
1	136	106
2	890	106
0	9405	95

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1752

Calls

Call 1

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

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

simplify583.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

8710×	`accelerator-lowering-fma.f32`
8710×	`accelerator-lowering-fma.f64`
3068×	`-lowering-.f32`
3068×	`-lowering-.f64`
1916×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1208
1	507	1198
2	1100	1182
3	2386	1174
4	5710	1156
0	8308	1075

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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))
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)
(* -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)
(* 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 (* x (- (* 27/2 x) 9))))
(* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))))
4
(- 4 (* 8/3 (/ 1 x)))
(- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x)))
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))
4
(- 4 (* 8/3 (/ 1 x)))
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))
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))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 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)
(* -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))
(* 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 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))
(* -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))
(/ 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)))
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))
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))

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))
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eval711.0ms (5.9%)

Compiler: Compiled 52255 to 33960 computations (35% saved)

prune334.0ms (2.8%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	2182	6	2188
Fresh	3	1	4
Picked	4	1	5
Done	0	4	4
Total	2189	12	2201

Accuracy

100.0%

Counts

2201 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.6%	(/.f64 (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) x))
▶	50.0%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
▶	53.2%	(/.f64 x #s(literal 1/6 binary64))
	52.1%	(/.f64 #s(literal 36 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) x))
✓	99.6%	(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
▶	48.6%	(.f64 (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64))) #s(literal 1/9 binary64))
✓	50.0%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	50.0%	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	99.7%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
✓	53.3%	(*.f64 x #s(literal 6 binary64))
▶	53.1%	(.f64 #s(literal 36 binary64) (.f64 x #s(literal 1/6 binary64)))
▶	2.3%	#s(literal 4 binary64)

Compiler

Compiled 130 to 101 computations (22.3% saved)

localize205.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 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))) #s(literal 1/9 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 x #s(literal 1/6 binary64))
✓	cost-diff	128	(.f64 #s(literal 36 binary64) (.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(/.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -81 binary64))
✓	accuracy	99.6%	(.f64 (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64))) #s(literal 1/9 binary64))
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
✓	accuracy	99.7%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	99.8%	(.f64 #s(literal 36 binary64) (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.7%	(/.f64 x #s(literal 1/6 binary64))

Rules

86×	`-lowering-.f32`
86×	`-lowering-.f64`
32×	`*-commutative`
28×	`accelerator-lowering-fma.f32`
28×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	27	48
2	48	46
3	65	46
4	76	46
0	76	44

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x 1/6)
x
1/6
4
(* 36 (* x 1/6))
36
(* x 1/6)
(/ x (/ -1/9 x))
(/ -1/9 x)
-1/9
(* (+ 36 (* (* x x) -81)) 1/9)
(+ 36 (* (* x x) -81))
(* (* x x) -81)
(* x x)
-81
1/9

Outputs
(/ x 1/6)
(/.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
4
#s(literal 4 binary64)
(* 36 (* x 1/6))
(*.f64 x #s(literal 6 binary64))
36
#s(literal 36 binary64)
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
(/ x (/ -1/9 x))
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
-1/9
#s(literal -1/9 binary64)
(* (+ 36 (* (* x x) -81)) 1/9)
(+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(+ 36 (* (* x x) -81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (* x x) -81)
(.f64 x (.f64 x #s(literal -81 binary64)))
(* x x)
(*.f64 x x)
-81
#s(literal -81 binary64)
1/9
#s(literal 1/9 binary64)

Results

36.0ms	168×	0	valid
89.0ms	88×	5	exit

Compiler

Compiled 57 to 36 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 23.0ms (32.4% of total)

backward-pass: 22.0ms (31% of total)

ival-div: 18.0ms (25.4% of total)

const: 4.0ms (5.6% of total)

ival-add: 4.0ms (5.6% of total)

series9.0ms (0.1%)

Counts

9 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite647.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

6222×	`accelerator-lowering-fma.f32`
6222×	`accelerator-lowering-fma.f64`
4324×	`-lowering-.f32`
4324×	`-lowering-.f64`
3896×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	64	41
2	337	39
3	2319	39
0	8465	37

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 428

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/6 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(neg.f64 (/.f64 x #s(literal -1/6 binary64)))
(/.f64 x #s(literal 1/6 binary64))
(/.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 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 #s(literal -1 binary64) (/.f64 #s(literal -1/6 binary64) x))
(/.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (/.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 x #s(literal -1/6 binary64)) (/.f64 x #s(literal -1/6 binary64))) (.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/6 binary64))))))
(pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64))
(*.f64 x #s(literal 6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 36 binary64)))
(*.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 36 binary64))
(.f64 #s(literal 36 binary64) (.f64 x #s(literal 1/6 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 6 binary64) x)
(.f64 (.f64 x #s(literal 36 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal 36 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 36 binary64))) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/6 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(neg.f64 (/.f64 x #s(literal -1/6 binary64)))
(/.f64 x #s(literal 1/6 binary64))
(/.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 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 #s(literal -1 binary64) (/.f64 #s(literal -1/6 binary64) x))
(/.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (/.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 x #s(literal -1/6 binary64)) (/.f64 x #s(literal -1/6 binary64))) (.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/6 binary64))))))
(pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64))
(*.f64 x #s(literal 6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 36 binary64)))
(*.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 36 binary64))
(.f64 #s(literal 36 binary64) (.f64 x #s(literal 1/6 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 6 binary64) x)
(.f64 (.f64 x #s(literal 36 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal 36 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 36 binary64))) #s(literal 1/6 binary64))
(exp.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))
(neg.f64 (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/9 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal 1/9 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x #s(literal -1/9 binary64)) (/.f64 x #s(literal -1/9 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/9 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal -1/9 binary64)))))
(exp.f64 (+.f64 (log.f64 (/.f64 x #s(literal -1/9 binary64))) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 #s(literal -1/9 binary64) x))))
(exp.f64 (-.f64 (log.f64 (/.f64 x #s(literal -1/9 binary64))) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 x (/.f64 #s(literal 1/9 binary64) x)))
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(.f64 (-.f64 (.f64 (/.f64 #s(literal 1296 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) (/.f64 #s(literal 1296 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1296 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal 81 binary64)))))))
(.f64 (.f64 (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -531441 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 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 101559956668416 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -150094635296999121 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2176782336 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -531441 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal -531441 binary64)) #s(literal 46656 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 2176782336 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -282429536481 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 531441 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 2176782336 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -282429536481 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 1679616 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 6561 binary64)))))))
(.f64 (.f64 (-.f64 #s(literal 1679616 binary64) (.f64 #s(literal 43046721 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))) (/.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 1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -6561 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -6561 binary64)))) (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -531441 binary64))) (+.f64 #s(literal 2176782336 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64))))))) (+.f64 #s(literal 1679616 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64))) #s(literal 1296 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -531441 binary64))) (-.f64 #s(literal 1679616 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 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 1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -6561 binary64))) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x 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 (pow.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 2176782336 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -282429536481 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1679616 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))) (-.f64 #s(literal 1679616 binary64) (.f64 #s(literal 43046721 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 6561 binary64)))))
(.f64 (pow.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 #s(literal 101559956668416 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -150094635296999121 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2176782336 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -531441 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -531441 binary64)) #s(literal 46656 binary64))))))
(.f64 (pow.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 #s(literal 2176782336 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -282429536481 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 531441 binary64)))))

simplify472.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

6654×	`-lowering-.f32`
6654×	`-lowering-.f64`
2898×	`/-lowering-/.f32`
2898×	`/-lowering-/.f64`
2604×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	448
1	48	448
2	82	448
3	145	448
4	254	448
5	358	448
6	499	448
7	943	448
8	2377	448
9	2662	448
10	3008	448
11	3535	448
12	4341	448
13	5263	448
14	7875	448
0	8002	430

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

Outputs
(* 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 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))
(* 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)
(/ -1/9 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)
(* -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)))
4
#s(literal 4 binary64)
(+ 4 (* -9 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(+ 4 (* -9 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(+ 4 (* -9 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x 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)
36
#s(literal 36 binary64)
(+ 36 (* -81 (pow x 2)))
(+.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) #s(literal 36 binary64))
(+ 36 (* -81 (pow x 2)))
(+.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) #s(literal 36 binary64))
(+ 36 (* -81 (pow x 2)))
(+.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) #s(literal 36 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) #s(literal 36 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) #s(literal 36 binary64))

eval132.0ms (1.1%)

Compiler: Compiled 12204 to 6539 computations (46.4% saved)

prune69.0ms (0.6%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	532	4	536
Fresh	1	1	2
Picked	1	4	5
Done	1	4	5
Total	535	13	548

Accuracy

100.0%

Counts

548 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.0%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
✓	53.2%	(/.f64 x #s(literal 1/6 binary64))
	52.1%	(/.f64 #s(literal 36 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) x))
	53.2%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
	49.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (*.f64 x x)))
	50.0%	(*.f64 (/.f64 x #s(literal -1/9 binary64)) x)
✓	99.6%	(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
✓	50.0%	(.f64 (.f64 x x) #s(literal -9 binary64))
	53.1%	(.f64 (.f64 x #s(literal 36 binary64)) #s(literal 1/6 binary64))
✓	99.7%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
✓	53.3%	(*.f64 x #s(literal 6 binary64))
✓	53.1%	(.f64 #s(literal 36 binary64) (.f64 x #s(literal 1/6 binary64)))
✓	2.3%	#s(literal 4 binary64)

Compiler

Compiled 344 to 247 computations (28.2% saved)

regimes23.0ms (0.2%)

Counts

29 → 1

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(/.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 #s(literal 36 binary64) (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x #s(literal -9 binary64)) x)
(.f64 (.f64 x #s(literal 36 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 (/.f64 x #s(literal -1/9 binary64)) x)
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(.f64 (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (*.f64 x x)))
(.f64 #s(literal 36 binary64) (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(.f64 (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64))) #s(literal 1/9 binary64))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
(/.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 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (.f64 x #s(literal 1/6 binary64)))
(/.f64 (.f64 x #s(literal 216 binary64)) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 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 9 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x 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 x (.f64 x #s(literal -81 binary64)))) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x) (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64))))))
(/.f64 (.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 #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))))))

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

Calls

2 calls:

16.0ms	x
5.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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:

6.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(/.f64 x #s(literal 1/6 binary64))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
53.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4 binary64)

Outputs
#s(literal 4 binary64)

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
2.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.3120756705431217e-11	9.378220345140293e+22
14.0ms	-40.82526496323151	-5.645364922096082e-8

Results

16.0ms

320×

valid

Compiler

Compiled 254 to 191 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (68.8% of total)

ival-sub: 2.0ms (22.9% of total)

const: 1.0ms (11.5% of total)

backward-pass: 0.0ms (0% of total)

bsearch59.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	5.3120756705431217e-11	9.378220345140293e+22
16.0ms	-40.82526496323151	-5.645364922096082e-8

Results

20.0ms

320×

valid

Compiler

Compiled 254 to 191 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (78.4% of total)

ival-sub: 2.0ms (15.7% of total)

const: 1.0ms (7.8% of total)

backward-pass: 0.0ms (0% of total)

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 54 to 35 computations (35.2% saved)

preprocess44.0ms (0.4%)

Compiler: Compiled 148 to 100 computations (32.4% saved)

analyze0.0ms (0%)

sample817.0ms (6.8%)

preprocess95.0ms (0.8%)

explain134.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize216.0ms (1.8%)

series33.0ms (0.3%)

rewrite744.0ms (6.2%)

simplify312.0ms (2.6%)

eval461.0ms (3.8%)

prune101.0ms (0.8%)

localize1.8s (14.8%)

series307.0ms (2.6%)

rewrite876.0ms (7.3%)

simplify511.0ms (4.2%)

eval296.0ms (2.5%)

prune163.0ms (1.4%)

localize1.2s (9.8%)

series21.0ms (0.2%)

rewrite641.0ms (5.3%)

simplify583.0ms (4.8%)

eval711.0ms (5.9%)

prune334.0ms (2.8%)

localize205.0ms (1.7%)

series9.0ms (0.1%)

rewrite647.0ms (5.4%)

simplify472.0ms (3.9%)

eval132.0ms (1.1%)

prune69.0ms (0.6%)

regimes23.0ms (0.2%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch32.0ms (0.3%)

bsearch59.0ms (0.5%)

soundness1.0ms (0%)

preprocess44.0ms (0.4%)

end0.0ms (0%)

Profiling