Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, A

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 12 to 10 computations (16.7% saved)

Precisions

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

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

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)

sample851.0ms (9.1%)

Results

534.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 319.0ms

ival-mult: 139.0ms (43.6% of total)

ival-div: 96.0ms (30.1% of total)

ival-sub: 64.0ms (20.1% of total)

const: 18.0ms (5.6% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess52.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

530×	`distribute-lft-in`
476×	`distribute-rgt-in`
346×	`unsub-neg`
306×	`associate-r`
258×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	58	44
2	166	42
3	549	42
4	1673	42
5	1917	42
6	2146	42
7	2241	42
8	2272	42
9	2284	42
0	10	7
1	17	7
2	32	7
3	62	7
4	84	7
0	84	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (* (- x (/ 16 116)) 3) y)

Outputs
(* (* (- x (/ 16 116)) 3) y)
(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))

Call 2

Inputs
(* (* (- x (/ 16 116)) 3) y)
(* (* (- (neg x) (/ 16 116)) 3) y)
(* (* (- x (/ 16 116)) 3) (neg y))
(neg (* (* (- (neg x) (/ 16 116)) 3) y))
(neg (* (* (- x (/ 16 116)) 3) (neg y)))
(* (* (- y (/ 16 116)) 3) x)

Outputs
(* (* (- x (/ 16 116)) 3) y)
(* (+ x -4/29) (* 3 y))
(* (* (- (neg x) (/ 16 116)) 3) y)
(* 3 (* y (- -4/29 x)))
(* (* (- x (/ 16 116)) 3) (neg y))
(* (+ x -4/29) (* y -3))
(neg (* (* (- (neg x) (/ 16 116)) 3) y))
(* 3 (* y (+ x 4/29)))
(neg (* (* (- x (/ 16 116)) 3) (neg y)))
(* (+ x -4/29) (* 3 y))
(* (* (- y (/ 16 116)) 3) x)
(* x (- -12/29 (* y -3)))

Symmetry

(negabs y)

explain122.0ms (1.3%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
-	-	`y`
-	-	`(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))`
-	-	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`
-	-	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
-	-	`#s(literal 116 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 16 binary64)`

Results

66.0ms	472×	0	valid
6.0ms	20×	1	valid
7.0ms	20×	2	valid

Compiler

Compiled 75 to 61 computations (18.7% saved)

Precisions

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

ival-div: 23.0ms (46.9% of total)

ival-mult: 12.0ms (24.5% of total)

ival-sub: 8.0ms (16.3% of total)

const: 4.0ms (8.2% of total)

backward-pass: 3.0ms (6.1% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
▶	99.7%	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Compiler

Compiled 20 to 16 computations (20% saved)

localize109.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	0	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
✓	cost-diff	128	(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
✓	cost-diff	128	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
✓	cost-diff	128	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
✓	cost-diff	128	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
✓	accuracy	100.0%	(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
✓	accuracy	99.8%	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Rules

60×	`-lowering-.f32`
60×	`-lowering-.f64`
36×	`accelerator-lowering-fma.f32`
36×	`accelerator-lowering-fma.f64`
24×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	21	35
2	44	35
3	76	35
4	84	35
0	84	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (* (- x (/ 16 116)) 3) y)
(* (- x (/ 16 116)) 3)
(- x (/ 16 116))
x
(/ 16 116)
16
116
3
y
(* (+ x -4/29) (* 3 y))
(+ x -4/29)
-4/29
(* 3 y)

Outputs
(* (* (- x (/ 16 116)) 3) y)
(.f64 (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal 3 binary64))) y)
(* (- x (/ 16 116)) 3)
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(- x (/ 16 116))
(+.f64 x #s(literal -4/29 binary64))
x
(/ 16 116)
#s(literal 4/29 binary64)
16
#s(literal 16 binary64)
116
#s(literal 116 binary64)
3
#s(literal 3 binary64)
y
(* (+ x -4/29) (* 3 y))
(.f64 (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal 3 binary64))) y)
(+ x -4/29)
(+.f64 x #s(literal -4/29 binary64))
-4/29
#s(literal -4/29 binary64)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)

Results

48.0ms	236×	0	valid
4.0ms	10×	1	valid
5.0ms	10×	2	valid

Compiler

Compiled 49 to 37 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 11.0ms (33% of total)

ival-div: 10.0ms (30% of total)

ival-add: 4.0ms (12% of total)

ival-sub: 4.0ms (12% of total)

const: 2.0ms (6% of total)

backward-pass: 2.0ms (6% of total)

series14.0ms (0.2%)

Counts

7 → 96

Calls

Call 1

Inputs
#<alt (* (* (- x (/ 16 116)) 3) y)>
#<alt (* (- x (/ 16 116)) 3)>
#<alt (- x (/ 16 116))>
#<alt (/ 16 116)>
#<alt (* (+ x -4/29) (* 3 y))>
#<alt (+ x -4/29)>
#<alt (* 3 y)>

Outputs
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(* 3 y)
1.0ms	y	@	0	(* (* (- x (/ 16 116)) 3) y)
1.0ms	x	@	inf	(* (* (- x (/ 16 116)) 3) y)
0.0ms	y	@	inf	(* (* (- x (/ 16 116)) 3) y)
0.0ms	x	@	0	(* (* (- x (/ 16 116)) 3) y)

rewrite638.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5314×	`/-lowering-/.f32`
5314×	`/-lowering-/.f64`
3888×	`-lowering-.f32`
3888×	`-lowering-.f64`
3186×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	45	29
2	254	29
3	2056	29
0	8668	26

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 888

Calls

Call 1

Inputs
(* (* (- x (/ 16 116)) 3) y)
(* (- x (/ 16 116)) 3)
(- x (/ 16 116))
(/ 16 116)
(* (+ x -4/29) (* 3 y))
(+ x -4/29)
(* 3 y)

Outputs
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y))) (-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 y #s(literal -12/29 binary64)))) (/.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 y #s(literal -12/29 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (-.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)))) (/.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y))) (-.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)))))
(fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 y x) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 y #s(literal -12/29 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 #s(literal 3 binary64) y) x (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal -12/29 binary64) y (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) (*.f64 #s(literal 3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y))) (-.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 y #s(literal -12/29 binary64))))) (+.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y)))) (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 (.f64 y #s(literal -12/29 binary64)) (*.f64 y #s(literal -12/29 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (-.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y))))) (+.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64)))) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (*.f64 #s(literal 3 binary64) y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 y #s(literal -12/29 binary64))) (-.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 (.f64 y #s(literal -12/29 binary64)) (*.f64 y #s(literal -12/29 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y))) (-.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (*.f64 #s(literal 3 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))) (.f64 (.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 64/24389 binary64) (neg.f64 (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) x) (.f64 (.f64 #s(literal 3 binary64) y) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 16/841 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) (.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) x) (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))) (.f64 (+.f64 #s(literal 64/24389 binary64) (neg.f64 (.f64 x (.f64 x x)))) (*.f64 #s(literal 3 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) x) (.f64 (+.f64 (neg.f64 (.f64 x x)) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) x) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) y))))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 y (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y)))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 y (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y)))) (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))))) (+.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y))) (-.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (*.f64 y #s(literal -12/29 binary64))))))
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(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -262144/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 4096/594823321 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -64/24389 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (+.f64 #s(literal 64/24389 binary64) (neg.f64 (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (+.f64 (neg.f64 (.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (-.f64 (.f64 x x) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 16/841 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -262144/14507145975869 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 4096/594823321 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -64/24389 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (-.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (.f64 x x)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -262144/14507145975869 binary64)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 4096/594823321 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -64/24389 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (-.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (*.f64 x x)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 16/841 binary64))))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (+.f64 #s(literal 64/24389 binary64) (neg.f64 (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 16/841 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (+.f64 (neg.f64 (.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -256/707281 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x x) #s(literal 16/841 binary64)) (*.f64 x #s(literal 4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 16/841 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (+.f64 #s(literal 64/24389 binary64) (neg.f64 (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 16/841 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (+.f64 (neg.f64 (.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 #s(literal -4/29 binary64) x)))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))

simplify409.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

4408×	`accelerator-lowering-fma.f32`
4408×	`accelerator-lowering-fma.f64`
3680×	`-lowering-.f32`
3680×	`-lowering-.f64`
2488×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	552
1	112	468
2	290	468
3	614	468
4	1561	468
5	2661	468
6	3742	468
7	4238	468
8	4411	468
9	4431	468
10	4445	468
11	5179	468
12	5559	468
13	5785	468
14	6236	468
15	6598	468
16	6604	468
17	6616	468
18	6616	468
0	8636	417

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)

Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* x y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* x y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(- (* 3 x) 12/29)
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(- (* 3 x) 12/29)
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(* x (- 3 (* 12/29 (/ 1 x))))
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(* x (- 3 (* 12/29 (/ 1 x))))
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* x y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* x y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal -3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x)))
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))

eval415.0ms (4.5%)

Compiler: Compiled 29741 to 17328 computations (41.7% saved)

prune146.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	973	11	984
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	974	12	986

Accuracy

100.0%

Counts

986 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y))) (-.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (*.f64 #s(literal 3 binary64) y))))))
▶	99.7%	(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
	99.7%	(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) y)
	99.2%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 3 binary64))) y)
▶	99.8%	(.f64 (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))) y)
✓	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
▶	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
	50.2%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	50.1%	(.f64 x (.f64 y #s(literal 3 binary64)))
	51.2%	(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
▶	51.4%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 255 to 197 computations (22.7% saved)

localize378.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	cost-diff	0	(*.f64 y #s(literal -12/29 binary64))
✓	cost-diff	128	(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
✓	cost-diff	0	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓	cost-diff	0	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 y #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x (.f64 y #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -12/29 binary64) y)
✓	cost-diff	0	(*.f64 x #s(literal -3 binary64))
✓	cost-diff	0	(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
✓	cost-diff	0	(.f64 (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))) y)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	100.0%	(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
✓	accuracy	99.9%	(*.f64 y #s(literal -12/29 binary64))
✓	accuracy	99.7%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	99.9%	(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓	accuracy	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 x (.f64 y #s(literal 3 binary64)))
✓	accuracy	99.9%	(*.f64 #s(literal -12/29 binary64) y)
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.9%	(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
✓	accuracy	99.8%	(.f64 (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))) y)

Rules

672×	`accelerator-lowering-fma.f32`
672×	`accelerator-lowering-fma.f64`
432×	`-lowering-.f32`
432×	`-lowering-.f64`
242×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	65
1	36	65
2	70	65
3	114	65
4	181	65
5	223	65
6	316	65
7	492	65
8	692	65
9	997	65
10	1025	65
11	1025	65
0	1025	61

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (- -12/29 (* x -3)) y)
(- -12/29 (* x -3))
-12/29
(* x -3)
x
-3
y
(* -12/29 y)
(* x (* y 3))
(* y 3)
3
(* (* (+ x -4/29) y) 3)
(* (+ x -4/29) y)
(+ x -4/29)
-4/29
(+ (* y -12/29) (* x (* 3 y)))
(* y -12/29)
(* x (* 3 y))
(* 3 y)

Outputs
(* (- -12/29 (* x -3)) y)
(.f64 (.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal -4/29 binary64)))
(- -12/29 (* x -3))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x))
-12/29
#s(literal -12/29 binary64)
(* x -3)
(*.f64 x #s(literal -3 binary64))
x
-3
#s(literal -3 binary64)
y
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* x (* y 3))
(.f64 x (.f64 y #s(literal 3 binary64)))
(* y 3)
(*.f64 y #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* (* (+ x -4/29) y) 3)
(.f64 (.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal -4/29 binary64)))
(* (+ x -4/29) y)
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ x -4/29)
(+.f64 x #s(literal -4/29 binary64))
-4/29
#s(literal -4/29 binary64)
(+ (* y -12/29) (* x (* 3 y)))
(.f64 (.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal -4/29 binary64)))
(* y -12/29)
(*.f64 #s(literal -12/29 binary64) y)
(* x (* 3 y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))

Results

140.0ms	236×	0	valid
33.0ms	10×	1	valid
8.0ms	10×	2	valid

Compiler

Compiled 81 to 52 computations (35.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 64.0ms (82.5% of total)

ival-add: 5.0ms (6.4% of total)

const: 3.0ms (3.9% of total)

ival-sub: 3.0ms (3.9% of total)

backward-pass: 3.0ms (3.9% of total)

series24.0ms (0.3%)

Counts

13 → 228

Calls

Call 1

Inputs
#<alt (* (- -12/29 (* x -3)) y)>
#<alt (- -12/29 (* x -3))>
#<alt (* x -3)>
#<alt (* -12/29 y)>
#<alt (* x (* y 3))>
#<alt (* y 3)>
#<alt (* (* (+ x -4/29) y) 3)>
#<alt (* (+ x -4/29) y)>
#<alt (+ x -4/29)>
#<alt (* x (* 3 y))>
#<alt (* y -12/29)>
#<alt (+ (* y -12/29) (* x (* 3 y)))>
#<alt (* 3 y)>

Outputs
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* -4/29 y)>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(* -12/29 y)
1.0ms	x	@	0	(+ x -4/29)
1.0ms	y	@	0	(* (- -12/29 (* x -3)) y)
1.0ms	x	@	0	(* x (* y 3))
1.0ms	y	@	inf	(* -12/29 y)

rewrite691.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

7936×	`accelerator-lowering-fma.f32`
7936×	`accelerator-lowering-fma.f64`
6190×	`-lowering-.f32`
6190×	`-lowering-.f64`
2116×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	59
1	77	59
2	550	59
3	5215	59
0	8685	55

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 994

Calls

Call 1

Inputs
(* (- -12/29 (* x -3)) y)
(- -12/29 (* x -3))
(* x -3)
(* -12/29 y)
(* x (* y 3))
(* y 3)
(* (* (+ x -4/29) y) 3)
(* (+ x -4/29) y)
(+ x -4/29)
(* x (* 3 y))
(* y -12/29)
(+ (* y -12/29) (* x (* 3 y)))
(* 3 y)

Outputs
(+.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -12/29 binary64) y))
(+.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64))))
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(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 144/841 binary64) (.f64 (.f64 x x) #s(literal -9 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64))) y))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 144/841 binary64))) (.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (.f64 y (-.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))))) (.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1728/24389 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -27 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal 3 binary64))))) (.f64 (.f64 y y) (+.f64 #s(literal 144/841 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64)))))
(.f64 (.f64 (.f64 y y) (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal 144/841 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))))
(.f64 (.f64 (.f64 y #s(literal 3 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(.f64 (.f64 (.f64 y #s(literal 3 binary64)) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (.f64 y (+.f64 #s(literal -1728/24389 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144/841 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 36/29 binary64))))))
(.f64 (.f64 y (+.f64 #s(literal 144/841 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64))) y) y) (/.f64 (.f64 y (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 (.f64 (.f64 y y) (+.f64 #s(literal 144/841 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))) (.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1728/24389 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -27 binary64)))))) (+.f64 (.f64 y (.f64 y #s(literal 144/841 binary64))) (.f64 (.f64 y (.f64 x (.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64))))))
(.f64 (/.f64 (.f64 (.f64 y y) (+.f64 #s(literal 144/841 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))) (.f64 (.f64 y y) (+.f64 #s(literal 144/841 binary64) (.f64 (.f64 x x) #s(literal -9 binary64))))) (.f64 (*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64))) y))
(.f64 (/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (-.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (.f64 x x)))))
(.f64 (/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))
(.f64 (/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.f64 x #s(literal -4/29 binary64)))
(.f64 (/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) (+.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))) (+.f64 (.f64 x x) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64)))))
(.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1728/24389 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -27 binary64))))) (+.f64 (.f64 #s(literal 2985984/594823321 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 y y))) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -27 binary64))) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y (-.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) (.f64 y (-.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))) (.f64 y (-.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))))) (+.f64 (.f64 #s(literal 20736/707281 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (.f64 y (-.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))) (-.f64 (.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (.f64 y (-.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))) (.f64 y (*.f64 y #s(literal 144/841 binary64)))))))
(.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1728/24389 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -27 binary64))))) (-.f64 (.f64 #s(literal 20736/707281 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x (.f64 x (.f64 (.f64 y y) #s(literal 9 binary64)))) (.f64 (.f64 y (-.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) (.f64 y (-.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))))) (+.f64 (.f64 y (.f64 y #s(literal 144/841 binary64))) (.f64 (.f64 #s(literal -3 binary64) (.f64 x y)) (.f64 y (-.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))))
(.f64 (/.f64 (.f64 y (+.f64 #s(literal -1728/24389 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -27 binary64))))) (+.f64 #s(literal 2985984/594823321 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 36/29 binary64))) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 36/29 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 36/29 binary64))))))) (+.f64 #s(literal 20736/707281 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 36/29 binary64))) (-.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 36/29 binary64))) #s(literal 144/841 binary64)))))
(.f64 (/.f64 (.f64 y (+.f64 #s(literal -1728/24389 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -27 binary64))))) (-.f64 #s(literal 20736/707281 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 36/29 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 36/29 binary64)))))) (-.f64 #s(literal 144/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 36/29 binary64)))))
(.f64 (/.f64 (.f64 y (+.f64 #s(literal 144/841 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))) (+.f64 #s(literal 144/841 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(.f64 (/.f64 (.f64 y (+.f64 #s(literal 144/841 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))) (+.f64 #s(literal -1728/24389 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -27 binary64))))) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 36/29 binary64)))))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)

simplify676.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

3712×	`/-lowering-/.f32`
3712×	`/-lowering-/.f64`
2840×	`accelerator-lowering-fma.f32`
2840×	`accelerator-lowering-fma.f64`
2648×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	1222
1	168	1096
2	455	1096
3	889	1096
4	2249	1096
5	3784	1096
6	4798	1096
7	5090	1096
8	5336	1096
9	5382	1096
10	5426	1096
11	5552	1096
12	5828	1096
13	6176	1096
14	6186	1096
15	6186	1096
16	6186	1096
0	8130	1024

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)

Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))

eval397.0ms (4.3%)

Compiler: Compiled 23164 to 14456 computations (37.6% saved)

prune100.0ms (1.1%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1217	5	1222
Fresh	4	2	6
Picked	1	4	5
Done	0	1	1
Total	1222	12	1234

Accuracy

100.0%

Counts

1234 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64)))))
✓	99.7%	(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
	46.6%	(.f64 (/.f64 (-.f64 (.f64 (.f64 y #s(literal -4/29 binary64)) (.f64 y #s(literal -4/29 binary64))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 y #s(literal -4/29 binary64)) (*.f64 x y))) #s(literal 3 binary64))
▶	99.5%	(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) #s(literal 3 binary64))
✓	99.8%	(.f64 (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))) y)
✓	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
▶	50.2%	(.f64 (.f64 y x) #s(literal 3 binary64))
▶	51.2%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
▶	50.2%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	50.1%	(.f64 x (.f64 y #s(literal 3 binary64)))
▶	51.2%	(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
✓	51.4%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 195 to 145 computations (25.6% saved)

localize143.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 y #s(literal -4/29 binary64))
✓	cost-diff	128	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	128	(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
✓	cost-diff	0	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))
✓	cost-diff	128	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
✓	cost-diff	128	(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.6%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	accuracy	99.9%	(*.f64 y #s(literal -4/29 binary64))
✓	accuracy	99.5%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.5%	(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))
✓	accuracy	99.8%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
✓	accuracy	99.6%	(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) #s(literal 3 binary64))

Rules

64×	`-lowering-.f32`
64×	`-lowering-.f64`
36×	`accelerator-lowering-fma.f32`
36×	`accelerator-lowering-fma.f64`
32×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	38	53
2	54	53
3	74	53
4	85	53
5	85	53
0	85	52

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ y (/ 1 (+ x -4/29))) 3)
(/ y (/ 1 (+ x -4/29)))
y
(/ 1 (+ x -4/29))
1
(+ x -4/29)
x
-4/29
3
(* -4/29 (* 3 y))
(* 3 y)
(* (* x 3) y)
(* x 3)
(* (* y -4/29) 3)
(* y -4/29)
(* (* y x) 3)
(* y x)

Outputs
(* (/ y (/ 1 (+ x -4/29))) 3)
(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(/ y (/ 1 (+ x -4/29)))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
y
(/ 1 (+ x -4/29))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))
1
#s(literal 1 binary64)
(+ x -4/29)
(+.f64 x #s(literal -4/29 binary64))
x
-4/29
#s(literal -4/29 binary64)
3
#s(literal 3 binary64)
(* -4/29 (* 3 y))
(*.f64 y #s(literal -12/29 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* (* x 3) y)
(.f64 x (.f64 y #s(literal 3 binary64)))
(* x 3)
(*.f64 x #s(literal 3 binary64))
(* (* y -4/29) 3)
(*.f64 y #s(literal -12/29 binary64))
(* y -4/29)
(*.f64 y #s(literal -4/29 binary64))
(* (* y x) 3)
(.f64 x (.f64 y #s(literal 3 binary64)))
(* y x)
(*.f64 y x)

Results

71.0ms

256×

valid

Compiler

Compiled 76 to 50 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 21.0ms (54.9% of total)

ival-div: 9.0ms (23.5% of total)

ival-add: 5.0ms (13.1% of total)

const: 3.0ms (7.8% of total)

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

series14.0ms (0.1%)

Counts

12 → 204

Calls

Call 1

Inputs
#<alt (* (/ y (/ 1 (+ x -4/29))) 3)>
#<alt (/ y (/ 1 (+ x -4/29)))>
#<alt (/ 1 (+ x -4/29))>
#<alt (+ x -4/29)>
#<alt (* -4/29 (* 3 y))>
#<alt (* 3 y)>
#<alt (* (* x 3) y)>
#<alt (* x 3)>
#<alt (* (* y -4/29) 3)>
#<alt (* y -4/29)>
#<alt (* (* y x) 3)>
#<alt (* y x)>

Outputs
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* -4/29 y)>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt -29/4>
#<alt (- (* -841/16 x) 29/4)>
#<alt (- (* x (- (* -24389/64 x) 841/16)) 29/4)>
#<alt (- (* x (- (* x (- (* -707281/256 x) 24389/64)) 841/16)) 29/4)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 4/29 (/ 1 x))) x)>
#<alt (/ (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x)))) x)>
#<alt (/ (+ 1 (+ (/ 16/841 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 4/29 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/29 (* 16/841 (/ 1 x))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/29 (+ (/ 64/24389 (pow x 2)) (* 16/841 (/ 1 x)))) x)) 1) x))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<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 (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

51 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(* y -4/29)
0.0ms	y	@	inf	(* y -4/29)
0.0ms	y	@	0	(* y -4/29)
0.0ms	y	@	-inf	(* y x)
0.0ms	x	@	-inf	(* y x)

rewrite619.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4468×	`/-lowering-/.f32`
4468×	`/-lowering-/.f64`
3672×	`-lowering-.f32`
3672×	`-lowering-.f64`
2062×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	67	48
2	295	48
3	2372	48
0	8792	48

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 917

Calls

Call 1

Inputs
(* (/ y (/ 1 (+ x -4/29))) 3)
(/ y (/ 1 (+ x -4/29)))
(/ 1 (+ x -4/29))
(+ x -4/29)
(* -4/29 (* 3 y))
(* 3 y)
(* (* x 3) y)
(* x 3)
(* (* y -4/29) 3)
(* y -4/29)
(* (* y x) 3)
(* y x)

Outputs
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 y (.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (.f64 (.f64 y #s(literal -3 binary64)) #s(literal 4/29 binary64)) (.f64 (.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 (.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 (.f64 y #s(literal -3 binary64)) #s(literal 4/29 binary64)))
(+.f64 (.f64 #s(literal 4/29 binary64) (.f64 y #s(literal -3 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 y #s(literal -3 binary64))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 y #s(literal -3 binary64))) (.f64 #s(literal 4/29 binary64) (.f64 y #s(literal -3 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4/29 binary64) x))) (/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) x))))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))
(fma.f64 y (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 x (.f64 y #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 y x) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 y #s(literal 3 binary64)) x (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 y x) #s(literal 3 binary64) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -12/29 binary64) y (.f64 y (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 y #s(literal -3 binary64)) #s(literal 4/29 binary64) (.f64 (*.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x) (.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 4/29 binary64)))
(fma.f64 #s(literal 4/29 binary64) (.f64 y #s(literal -3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 y #s(literal -3 binary64)) (.f64 #s(literal 4/29 binary64) (*.f64 y #s(literal -3 binary64))))
(neg.f64 (.f64 (.f64 y (-.f64 #s(literal 4/29 binary64) x)) #s(literal 3 binary64)))
(neg.f64 (.f64 #s(literal 3 binary64) (.f64 y (-.f64 #s(literal 4/29 binary64) x))))
(neg.f64 (.f64 (.f64 y #s(literal -3 binary64)) (+.f64 x #s(literal -4/29 binary64))))
(neg.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x)))))))
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4/29 binary64) x)) y))
(/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4/29 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) x)))
(/.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 4/29 binary64) x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) (.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64))))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 16/841 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (+.f64 (neg.f64 (.f64 x x)) #s(literal 16/841 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64))))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 4/29 binary64) x))))
(/.f64 (neg.f64 (*.f64 y #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4/29 binary64) x)))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 y (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 y (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (.f64 (.f64 y #s(literal -3 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (.f64 (.f64 y #s(literal -3 binary64)) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)))
(/.f64 (.f64 (.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (.f64 (.f64 y #s(literal -3 binary64)) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 16/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 y (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (.f64 (.f64 y (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -16/841 binary64)))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (+.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) y)))) #s(literal -1 binary64))
(/.f64 (+.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
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(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (-.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))) (+.f64 (.f64 x x) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (neg.f64 (.f64 x x)) #s(literal 16/841 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal -4/29 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) #s(literal 1 binary64)) (+.f64 x #s(literal -4/29 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (-.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (.f64 x x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -262144/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 4096/594823321 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 4/29 binary64) x))))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))))))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal -12/29 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -12/29 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 12/29 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (*.f64 y #s(literal -12/29 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -12/29 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -12/29 binary64))) #s(literal 1 binary64))
(*.f64 y #s(literal -12/29 binary64))
(.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)))
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))
(.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal -12/29 binary64) y)
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64)))))
(/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (.f64 y (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 y (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 y x))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(/.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal -12/29 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -12/29 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 12/29 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (*.f64 y #s(literal -12/29 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -12/29 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -12/29 binary64))) #s(literal 1 binary64))
(*.f64 y #s(literal -12/29 binary64))
(.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)))
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))
(.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 4/29 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal -4/29 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -4/29 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal -4/29 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -4/29 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -4/29 binary64))) #s(literal 1 binary64))
(*.f64 y #s(literal -4/29 binary64))
(*.f64 #s(literal -4/29 binary64) y)
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (.f64 y (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 y (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 y x))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 (.f64 y x) #s(literal 3 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x)) #s(literal 1 binary64))
(*.f64 y x)
(.f64 y (.f64 #s(literal 1 binary64) x))
(*.f64 x y)
(.f64 (.f64 y x) #s(literal 1 binary64))

simplify390.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

5714×	`accelerator-lowering-fma.f32`
5714×	`accelerator-lowering-fma.f64`
2408×	`-lowering-.f32`
2408×	`-lowering-.f64`
1840×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	908
1	240	908
2	570	908
3	1183	908
4	3362	900
5	5759	900
0	8120	873

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
-29/4
(- (* -841/16 x) 29/4)
(- (* x (- (* -24389/64 x) 841/16)) 29/4)
(- (* x (- (* x (- (* -707281/256 x) 24389/64)) 841/16)) 29/4)
(/ 1 x)
(/ (+ 1 (* 4/29 (/ 1 x))) x)
(/ (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x)))) x)
(/ (+ 1 (+ (/ 16/841 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))) x)
(/ 1 x)
(/ (+ 1 (* 4/29 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/29 (* 16/841 (/ 1 x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 4/29 (+ (/ 64/24389 (pow x 2)) (* 16/841 (/ 1 x)))) x)) 1) x))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* 3 (* y (- x 4/29)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* 3 (* y (- x 4/29)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(* y (- x 4/29))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(+ (* -4/29 y) (* x y))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
-29/4
#s(literal -29/4 binary64)
(- (* -841/16 x) 29/4)
(+.f64 (*.f64 x #s(literal -841/16 binary64)) #s(literal -29/4 binary64))
(- (* x (- (* -24389/64 x) 841/16)) 29/4)
(+.f64 (.f64 x (+.f64 #s(literal -841/16 binary64) (.f64 x #s(literal -24389/64 binary64)))) #s(literal -29/4 binary64))
(- (* x (- (* x (- (* -707281/256 x) 24389/64)) 841/16)) 29/4)
(+.f64 (.f64 x (+.f64 #s(literal -841/16 binary64) (.f64 x (+.f64 #s(literal -24389/64 binary64) (*.f64 x #s(literal -707281/256 binary64)))))) #s(literal -29/4 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 4/29 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/29 binary64) x)) x)
(/ (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 16/841 binary64) x)) x)) x)
(/ (+ 1 (+ (/ 16/841 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (+.f64 (/.f64 #s(literal 16/841 binary64) x) (/.f64 #s(literal 64/24389 binary64) (*.f64 x x)))) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 4/29 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/29 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/29 (* 16/841 (/ 1 x))) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 16/841 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/29 (+ (/ 64/24389 (pow x 2)) (* 16/841 (/ 1 x)))) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (+.f64 (/.f64 #s(literal 16/841 binary64) x) (/.f64 #s(literal 64/24389 binary64) (*.f64 x x)))) x)) x)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

eval407.0ms (4.4%)

Compiler: Compiled 21156 to 14292 computations (32.4% saved)

prune190.0ms (2%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1116	5	1121
Fresh	0	2	2
Picked	2	3	5
Done	0	5	5
Total	1118	15	1133

Accuracy

100.0%

Counts

1133 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.1%	(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
▶	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64)))))
▶	51.3%	(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
✓	99.7%	(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
	46.6%	(.f64 (/.f64 (-.f64 (.f64 (.f64 y #s(literal -4/29 binary64)) (.f64 y #s(literal -4/29 binary64))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 y #s(literal -4/29 binary64)) (*.f64 x y))) #s(literal 3 binary64))
▶	50.1%	(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
▶	51.2%	(*.f64 (/.f64 y #s(literal -29/4 binary64)) #s(literal 3 binary64))
✓	99.8%	(.f64 (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))) y)
✓	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
✓	50.2%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	50.2%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	50.1%	(.f64 x (.f64 y #s(literal 3 binary64)))
▶	51.2%	(*.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	51.2%	(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
✓	51.4%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 220 to 167 computations (24.1% saved)

localize387.0ms (4.2%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	256	(*.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 y #s(literal -29/4 binary64))
✓	cost-diff	128	(*.f64 (/.f64 y #s(literal -29/4 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64))))
✓	cost-diff	128	(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
✓	accuracy	99.8%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(*.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	99.8%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 y #s(literal -29/4 binary64))
✓	accuracy	99.7%	(*.f64 (/.f64 y #s(literal -29/4 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	99.9%	(*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64)))
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64)))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64))))

Rules

152×	`-lowering-.f32`
152×	`-lowering-.f64`
130×	`/-lowering-/.f32`
130×	`/-lowering-/.f64`
76×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	66
1	46	56
2	85	56
3	148	56
4	192	56
5	221	56
6	247	56
7	261	56
8	261	56
0	261	54

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ y (/ 1 (* 3 (+ x -4/29))))
y
(/ 1 (* 3 (+ x -4/29)))
1
(* 3 (+ x -4/29))
3
(+ x -4/29)
x
-4/29
(* (/ y -29/4) 3)
(/ y -29/4)
-29/4
(/ -12/29 (/ 1 y))
-12/29
(/ 1 y)
(* -4/29 (/ 3 (/ 1 y)))
(/ 3 (/ 1 y))
(* (/ y (/ 1 x)) 3)
(/ y (/ 1 x))
(/ 1 x)

Outputs
(/ y (/ 1 (* 3 (+ x -4/29))))
(/.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 1/3 binary64) y))
y
(/ 1 (* 3 (+ x -4/29)))
(/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))
1
#s(literal 1 binary64)
(* 3 (+ x -4/29))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
3
#s(literal 3 binary64)
(+ x -4/29)
(+.f64 x #s(literal -4/29 binary64))
x
-4/29
#s(literal -4/29 binary64)
(* (/ y -29/4) 3)
(*.f64 y #s(literal -12/29 binary64))
(/ y -29/4)
(/.f64 y #s(literal -29/4 binary64))
-29/4
#s(literal -29/4 binary64)
(/ -12/29 (/ 1 y))
(*.f64 y #s(literal -12/29 binary64))
-12/29
#s(literal -12/29 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -4/29 (/ 3 (/ 1 y)))
(*.f64 y #s(literal -12/29 binary64))
(/ 3 (/ 1 y))
(*.f64 y #s(literal 3 binary64))
(* (/ y (/ 1 x)) 3)
(.f64 y (.f64 #s(literal 3 binary64) x))
(/ y (/ 1 x))
(*.f64 y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

Results

58.0ms	147×	0	valid
223.0ms	99×	5	exit
4.0ms	6×	1	valid
4.0ms	4×	2	valid

Compiler

Compiled 92 to 68 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

backward-pass: 114.0ms (54.8% of total)

ival-div: 61.0ms (29.3% of total)

ival-mult: 18.0ms (8.7% of total)

ival-add: 9.0ms (4.3% of total)

const: 6.0ms (2.9% of total)

series16.0ms (0.2%)

Counts

13 → 192

Calls

Call 1

Inputs
#<alt (/ 1 (* 3 (+ x -4/29)))>
#<alt (/ y (/ 1 (* 3 (+ x -4/29))))>
#<alt (* 3 (+ x -4/29))>
#<alt (+ x -4/29)>
#<alt (* (/ y -29/4) 3)>
#<alt (/ y -29/4)>
#<alt (/ -12/29 (/ 1 y))>
#<alt (/ 1 y)>
#<alt (/ 3 (/ 1 y))>
#<alt (* -4/29 (/ 3 (/ 1 y)))>
#<alt (/ y (/ 1 x))>
#<alt (* (/ y (/ 1 x)) 3)>
#<alt (/ 1 x)>

Outputs
#<alt -29/12>
#<alt (- (* -841/48 x) 29/12)>
#<alt (- (* x (- (* -24389/192 x) 841/48)) 29/12)>
#<alt (- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x)>
#<alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)>
#<alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/ y (/ 1 x))
0.0ms	y	@	-inf	(/ 1 y)
0.0ms	x	@	inf	(/ 1 (* 3 (+ x -4/29)))
0.0ms	x	@	-inf	(/ 1 (* 3 (+ x -4/29)))
0.0ms	x	@	0	(/ 1 (* 3 (+ x -4/29)))

rewrite412.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3732×	`/-lowering-/.f32`
3732×	`/-lowering-/.f64`
3148×	`-lowering-.f32`
3148×	`-lowering-.f64`
1898×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	59
1	112	49
2	563	49
3	4248	49
0	9285	47

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1040

Calls

Call 1

Inputs
(/ 1 (* 3 (+ x -4/29)))
(/ y (/ 1 (* 3 (+ x -4/29))))
(* 3 (+ x -4/29))
(+ x -4/29)
(* (/ y -29/4) 3)
(/ y -29/4)
(/ -12/29 (/ 1 y))
(/ 1 y)
(/ 3 (/ 1 y))
(* -4/29 (/ 3 (/ 1 y)))
(/ y (/ 1 x))
(* (/ y (/ 1 x)) 3)
(/ 1 x)

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (.f64 x x)) (.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64)))) (.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) x) (.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) #s(literal 4/29 binary64)))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))))
(+.f64 (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))))
(+.f64 (.f64 x (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x x) #s(literal -16/841 binary64)))) (.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x x) #s(literal -16/841 binary64)))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x))) #s(literal -1/2 binary64)) (.f64 (log.f64 (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(fma.f64 x (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) (.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))))
(fma.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (.f64 (.f64 x x) (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (.f64 x x) (.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) x (.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) #s(literal 4/29 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4/29 binary64)))))
(/.f64 #s(literal -1/3 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4/29 binary64)))
(/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4/29 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))
(/.f64 (.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal 4/29 binary64))) (+.f64 (.f64 x x) #s(literal -16/841 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (-.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64))) (*.f64 x x))))))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64)))))
(/.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 (.f64 x x) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64))))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -3 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
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(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(*.f64 x (/.f64 y #s(literal 1/3 binary64)))
(.f64 y (.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 3 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 y #s(literal -3 binary64)))
(.f64 #s(literal -3 binary64) (neg.f64 (.f64 x y)))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(*.f64 (/.f64 y #s(literal 1/3 binary64)) x)
(.f64 (.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(.f64 (.f64 x y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64)) x)
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) (.f64 (log.f64 x) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))

simplify595.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

5420×	`accelerator-lowering-fma.f32`
5420×	`accelerator-lowering-fma.f64`
2248×	`--lowering--.f32`
2248×	`--lowering--.f64`
2198×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	798
1	236	798
2	531	798
3	1084	798
4	2879	790
5	5229	790
0	8113	754

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

Outputs
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(+.f64 (*.f64 #s(literal -841/48 binary64) x) #s(literal -29/12 binary64))
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(+.f64 (.f64 x (+.f64 #s(literal -841/48 binary64) (.f64 x #s(literal -24389/192 binary64)))) #s(literal -29/12 binary64))
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(+.f64 (.f64 x (+.f64 #s(literal -841/48 binary64) (.f64 x (+.f64 #s(literal -24389/192 binary64) (*.f64 x #s(literal -707281/768 binary64)))))) #s(literal -29/12 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (+.f64 (/.f64 #s(literal 16/2523 binary64) x) (/.f64 #s(literal 64/73167 binary64) (*.f64 x x)))) x)) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (+.f64 (/.f64 #s(literal 16/2523 binary64) x) (/.f64 #s(literal 64/73167 binary64) (*.f64 x x)))) x)) x)
(* 3 (* y (- x 4/29)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* 3 (* y (- x 4/29)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* 3 (* y (- x 4/29)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* 3 (* y (- x 4/29)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* 3 (* y (- x 4/29)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* 3 (* y (- x 4/29)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* 3 (* y (- x 4/29)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* 3 (* y (- x 4/29)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* 3 (* y (- x 4/29)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* 3 (* y (- x 4/29)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* 3 (* y (- x 4/29)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* 3 (* y (- x 4/29)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

eval453.0ms (4.9%)

Compiler: Compiled 17333 to 12031 computations (30.6% saved)

prune356.0ms (3.8%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1263	5	1268
Fresh	2	0	2
Picked	4	1	5
Done	2	6	8
Total	1271	12	1283

Accuracy

100.0%

Counts

1283 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(/.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -29/4 binary64))
	99.5%	(/.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 1/3 binary64) y))
	51.2%	(/.f64 y #s(literal -29/12 binary64))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y))
✓	50.1%	(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
	50.1%	(*.f64 (/.f64 y #s(literal 1/3 binary64)) x)
✓	99.8%	(.f64 (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))) y)
✓	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
✓	50.2%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	50.2%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	50.1%	(.f64 x (.f64 y #s(literal 3 binary64)))
✓	51.4%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 324 to 239 computations (26.2% saved)

regimes99.0ms (1.1%)

Counts

28 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 (/.f64 y #s(literal -29/4 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 y #s(literal 1/3 binary64)) x)
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -29/4 binary64))
(*.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(.f64 (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))) y)
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) y)
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) #s(literal 3 binary64))
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y))
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 3 binary64))) y)
(.f64 (/.f64 (-.f64 (.f64 (.f64 y #s(literal -4/29 binary64)) (.f64 y #s(literal -4/29 binary64))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 y #s(literal -4/29 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y))) (-.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (*.f64 #s(literal 3 binary64) y))))))

Outputs
(.f64 (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))) y)

Calls

5 calls:

65.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
10.0ms	x
9.0ms	y
7.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
5.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.8%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.8%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes10.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 (/.f64 y #s(literal -29/4 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 y #s(literal 1/3 binary64)) x)
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -29/4 binary64))
(*.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))

Outputs
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))

Calls

2 calls:

5.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.3%)

Counts

12 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 (/.f64 y #s(literal -29/4 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 y #s(literal 1/3 binary64)) x)
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -29/4 binary64))
(*.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))

Outputs
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 #s(literal -12/29 binary64) y)
(.f64 (.f64 y x) #s(literal 3 binary64))

Calls

2 calls:

16.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
97.6%	3	`x`
61.3%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))

Outputs
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 #s(literal -12/29 binary64) y)
(.f64 (.f64 x #s(literal 3 binary64)) y)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))

Outputs
(.f64 x (.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal -12/29 binary64) y)
(.f64 x (.f64 y #s(literal 3 binary64)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.2b remaining (-0.8%)

Threshold costs -0.2b (-0.8%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))

Outputs
(*.f64 #s(literal -12/29 binary64) y)

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
51.4%	1	`y`
51.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.47896934414473e-11	97.92685476088408
11.0ms	-0.613081725488226	-0.015108872957742913

Results

18.0ms

272×

valid

Compiler

Compiled 254 to 200 computations (21.3% saved)

Precisions

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

ival-mult: 6.0ms (55.1% of total)

ival-div: 2.0ms (18.4% of total)

ival-sub: 1.0ms (9.2% of total)

const: 1.0ms (9.2% of total)

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

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	6.47896934414473e-11	97.92685476088408
10.0ms	-0.613081725488226	-0.015108872957742913

Results

22.0ms

272×

valid

Compiler

Compiled 254 to 200 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (48.3% of total)

ival-div: 2.0ms (24.1% of total)

ival-sub: 1.0ms (12.1% of total)

const: 1.0ms (12.1% of total)

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

bsearch29.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.47896934414473e-11	97.92685476088408
11.0ms	-0.613081725488226	-0.015108872957742913

Results

18.0ms

272×

valid

Compiler

Compiled 254 to 200 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (48.7% of total)

ival-div: 2.0ms (24.3% of total)

ival-sub: 1.0ms (12.2% of total)

const: 1.0ms (12.2% of total)

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

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 82 to 56 computations (31.7% saved)

preprocess52.0ms (0.6%)

Remove: (negabs y)
Compiler: Compiled 276 to 200 computations (27.5% saved)

analyze0.0ms (0%)

sample851.0ms (9.1%)

preprocess52.0ms (0.6%)

explain122.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize109.0ms (1.2%)

series14.0ms (0.2%)

rewrite638.0ms (6.9%)

simplify409.0ms (4.4%)

eval415.0ms (4.5%)

prune146.0ms (1.6%)

localize378.0ms (4.1%)

series24.0ms (0.3%)

rewrite691.0ms (7.4%)

simplify676.0ms (7.3%)

eval397.0ms (4.3%)

prune100.0ms (1.1%)

localize143.0ms (1.5%)

series14.0ms (0.1%)

rewrite619.0ms (6.7%)

simplify390.0ms (4.2%)

eval407.0ms (4.4%)

prune190.0ms (2%)

localize387.0ms (4.2%)

series16.0ms (0.2%)

rewrite412.0ms (4.4%)

simplify595.0ms (6.4%)

eval453.0ms (4.9%)

prune356.0ms (3.8%)

regimes99.0ms (1.1%)

regimes10.0ms (0.1%)

regimes30.0ms (0.3%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch30.0ms (0.3%)

bsearch33.0ms (0.4%)

bsearch29.0ms (0.3%)

soundness1.0ms (0%)

preprocess52.0ms (0.6%)

end0.0ms (0%)

Profiling