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)

sample803.0ms (13.4%)

Results

576.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 282.0ms

ival-mult: 127.0ms (45.1% of total)

ival-div: 86.0ms (30.5% of total)

ival-sub: 48.0ms (17% of total)

const: 18.0ms (6.4% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess116.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

2342×	`fnmadd-define`
1950×	`fma-define`
1576×	`fnmsub-define`
1574×	`fmsub-define`
1300×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	58	44
2	168	39
3	567	36
4	1899	36
5	4847	36
6	6446	36
7	7331	36
8	7644	36
9	7744	36
10	7772	36
0	10	7
1	17	7
2	32	6
3	64	6
4	106	6
5	112	6
0	112	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 (+.f64 x #s(literal -4/29 binary64)) #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)
(* (fnmsub x -3 12/29) y)
(* (* (- (neg x) (/ 16 116)) 3) y)
(* y (fnmsub x 3 12/29))
(* (* (- x (/ 16 116)) 3) (neg y))
(* y (fnmsub x 3 -12/29))
(neg (* (* (- (neg x) (/ 16 116)) 3) y))
(* y (fnmsub x -3 -12/29))
(neg (* (* (- x (/ 16 116)) 3) (neg y)))
(* (fnmsub x -3 12/29) y)
(* (* (- y (/ 16 116)) 3) x)
(* x (fnmsub y -3 12/29))

Symmetry

(negabs y)

explain126.0ms (2.1%)

FPErrors

Click to see full error table

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

Results

45.0ms	470×	0	valid
5.0ms	20×	2	valid
3.0ms	22×	1	valid

Compiler

Compiled 75 to 29 computations (61.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 14.0ms (56.3% of total)

ival-div: 5.0ms (20.1% of total)

ival-sub: 3.0ms (12.1% of total)

const: 1.0ms (4% of total)

backward-pass: 1.0ms (4% 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
▶	99.4%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	(*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	cost-diff	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)

Rules

60×	`-lowering-.f32`
60×	`-lowering-.f64`
36×	`fma-lowering-fma.f32`
36×	`fma-define`
36×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	12	19
2	28	17
3	62	17
4	102	17
5	106	17
0	106	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize73.0ms (1.2%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	99.8%	(*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	accuracy	99.4%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)

Results

59.0ms	235×	0	valid
3.0ms	10×	2	valid
2.0ms	11×	1	valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

...c/correct-round.rkt:119:19: 37.0ms (84.2% of total)

ival-mult: 4.0ms (9.1% of total)

ival-add: 2.0ms (4.5% of total)

const: 1.0ms (2.3% of total)

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

series4.0ms (0.1%)

Counts

3 → 48

Calls

Call 1

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

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)))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* (* (+ x -4/29) 3) y)
1.0ms	y	@	inf	(* (* (+ x -4/29) 3) y)
1.0ms	x	@	inf	(* (* (+ x -4/29) 3) y)
0.0ms	x	@	0	(* (* (+ x -4/29) 3) y)
0.0ms	x	@	-inf	(* (* (+ x -4/29) 3) y)

rewrite380.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4764×	`/-lowering-/.f32`
4764×	`/-lowering-/.f64`
3190×	`-lowering-.f32`
3190×	`-lowering-.f64`
1718×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	26	15
2	159	13
3	1324	13
0	8287	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 427

Calls

Call 1

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

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 #s(literal 3 binary64) y) x) (.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)) (.f64 (.f64 #s(literal 3 binary64) y) x))
(+.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 (*.f64 x #s(literal 3 binary64)) y))
(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -12/29 binary64) y))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y)))
(+.f64 (.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) y) x (.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64) (.f64 (*.f64 #s(literal 3 binary64) y) x))
(fma.f64 #s(literal -12/29 binary64) y (.f64 (.f64 x #s(literal 3 binary64)) y))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 #s(literal -12/29 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.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 #s(literal 3 binary64) (.f64 (+.f64 x #s(literal -4/29 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 #s(literal 3 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (.f64 x (*.f64 x x))) #s(literal -192/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.f64 y (.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))))
(/.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) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)) (.f64 (.f64 #s(literal 3 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 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) (.f64 x (.f64 x x))) (*.f64 #s(literal 3 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 16/841 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 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 #s(literal 3 binary64) y)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 #s(literal 3 binary64) y))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)))
(/.f64 (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (.f64 x (.f64 x x))) #s(literal -192/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (.f64 y (.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 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 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) y)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 #s(literal 3 binary64) y)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (.f64 x (.f64 x x))) #s(literal -192/24389 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 y (.f64 #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 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x))))) (+.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 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) y))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) y))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (-.f64 (.f64 (.f64 y (.f64 x #s(literal 3 binary64))) (.f64 y (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal 3 binary64))) (.f64 y (.f64 x #s(literal 3 binary64)))) (-.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (.f64 (.f64 y (.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) x) (.f64 (.f64 #s(literal 3 binary64) y) x)) (-.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)) (.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))) (.f64 (.f64 (.f64 #s(literal 3 binary64) y) x) (.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))))))
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(.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 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 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 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -4/29 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))))
(.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 4/29 binary64)) (+.f64 x #s(literal 4/29 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.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 (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))))))
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(.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 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 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 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))))
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(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 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 #s(literal 1 binary64) (/.f64 #s(literal 1 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 (.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 #s(literal 1 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 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 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 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 256/707281 binary64)) (.f64 x (*.f64 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 (+.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 (.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 (.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 (.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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 256/707281 binary64)) (.f64 x (.f64 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)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 256/707281 binary64)) (.f64 x (*.f64 x #s(literal 16/841 binary64))))) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64)) #s(literal 1 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 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))))) (/.f64 #s(literal 1 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 (.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 (.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 (.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 (.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 (.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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 256/707281 binary64)) (.f64 x (.f64 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) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 256/707281 binary64)) (.f64 x (.f64 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 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 256/707281 binary64)) (.f64 x (*.f64 x #s(literal 16/841 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) 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 16/841 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 256/707281 binary64)) (.f64 x (*.f64 x #s(literal 16/841 binary64))))) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x 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 x x) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x 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 (.f64 x 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) (.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 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 1 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 (.f64 (.f64 x 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 (/.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 #s(literal 64/24389 binary64) (.f64 x (.f64 x x))))) (/.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 #s(literal 0 binary64) (.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 16/841 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)))

simplify163.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2398×	`fmsub-define`
2054×	`fmm-def`
1972×	`fma-lowering-fma.f32`
1972×	`fma-lowering-fma.f64`
1620×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	254
1	122	212
2	324	212
3	750	212
4	2032	212
5	4151	212
6	7173	212
0	8310	212

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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)))

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)))
(* 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)))
-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))
-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))

eval58.0ms (1%)

Compiler: Compiled 12635 to 1501 computations (88.1% saved)

prune74.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	468	7	475
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	469	7	476

Accuracy

100.0%

Counts

476 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
	99.4%	(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) y)
▶	99.4%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 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))
▶	56.0%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	45.7%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 122 to 96 computations (21.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
✓	cost-diff	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
✓	cost-diff	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
✓	cost-diff	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	cost-diff	(*.f64 #s(literal -12/29 binary64) y)
✓	cost-diff	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓	cost-diff	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))

Rules

66×	`fma-define`
60×	`-lowering-.f32`
60×	`-lowering-.f64`
36×	`fma-lowering-fma.f32`
36×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	30	70
2	57	67
3	105	67
4	107	67
0	107	67

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize92.0ms (1.5%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
✓	accuracy	99.4%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 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 x #s(literal 3 binary64))
✓	accuracy	99.3%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	accuracy	99.9%	(*.f64 #s(literal -12/29 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	99.7%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))

Results

57.0ms	235×	0	valid
6.0ms	10×	2	valid
5.0ms	11×	1	valid

Compiler

Compiled 74 to 16 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 24.0ms (64.1% of total)

...c/correct-round.rkt:119:19: 9.0ms (24% of total)

ival-add: 3.0ms (8% of total)

backward-pass: 1.0ms (2.7% of total)

const: 0.0ms (0% of total)

series10.0ms (0.2%)

Counts

10 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x 3)
1.0ms	x	@	-inf	(* (+ x -4/29) y)
1.0ms	x	@	0	(* (* x 3) y)
0.0ms	y	@	inf	(* (* x 3) y)
0.0ms	y	@	0	(* (+ (* x 3) -12/29) y)

rewrite319.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2922×	`-lowering-.f32`
2922×	`-lowering-.f64`
2808×	`/-lowering-/.f32`
2808×	`/-lowering-/.f64`
2446×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	58	47
2	344	44
3	2978	44
0	8294	44

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 642

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (*.f64 y #s(literal 3 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 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 y #s(literal -12/29 binary64) (.f64 x (.f64 y #s(literal 3 binary64))))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal -4/29 binary64) y) (.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -12/29 binary64) y (.f64 x (.f64 y #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.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 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64) (.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 y #s(literal -12/29 binary64)))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (.f64 (.f64 y #s(literal 3 binary64)) (+.f64 (.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))))
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(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) #s(literal -2985984/594823321 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))))))) (neg.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal 1728/24389 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) #s(literal -2985984/594823321 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)) (+.f64 #s(literal 20736/707281 binary64) (.f64 (.f64 x x) #s(literal 1296/841 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)) #s(literal -20736/707281 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) #s(literal 3 binary64))) (neg.f64 (-.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 0 binary64) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal -4/29 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 144/841 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (.f64 #s(literal 3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.f64 #s(literal 3 binary64) (+.f64 (.f64 x x) #s(literal -16/841 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64)))
(.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 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 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))) #s(literal 3 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))
(.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)))
(.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal 3 binary64))))
(.f64 (/.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 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64)))
(.f64 (/.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))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64))) #s(literal -1 binary64)))
(.f64 (-.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 #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 #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 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64))) (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64))) (.f64 (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64))) (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)) (.f64 (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64))) (-.f64 (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64)) (.f64 (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)) (.f64 x #s(literal -36/29 binary64))))) (+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)) (*.f64 x #s(literal -36/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal 1728/24389 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 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 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 #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 #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 #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 (.f64 x x) #s(literal 16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64)) #s(literal -5159780352/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (+.f64 #s(literal 2985984/594823321 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 46656/24389 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) #s(literal -2985984/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal 1728/24389 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) #s(literal -2985984/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)) (+.f64 #s(literal 20736/707281 binary64) (.f64 (.f64 x x) #s(literal 1296/841 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)) #s(literal -20736/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))))

simplify182.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1928×	`sum5-define`
1810×	`-lowering-.f32`
1810×	`-lowering-.f64`
1508×	`sum4-define`
1368×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	958
1	165	832
2	448	832
3	1018	832
4	2916	832
5	6528	832
0	8162	832

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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)))
(* -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)))
(* -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 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) (* 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)))
(* 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)))))
(* 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))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
-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)))

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

eval121.0ms (2%)

Compiler: Compiled 18311 to 1571 computations (91.4% saved)

prune196.0ms (3.3%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	946	4	950
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	946	11	957

Accuracy

100.0%

Counts

957 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
▶	99.4%	(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) y)
✓	99.4%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 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))
▶	56.3%	(.f64 (.f64 y x) #s(literal 3 binary64))
▶	56.3%	(.f64 (.f64 y #s(literal 3 binary64)) x)
▶	45.5%	(.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))
▶	45.6%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	56.0%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	45.7%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 139 to 110 computations (20.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 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 3 binary64))
✓	cost-diff	0	(.f64 (.f64 y #s(literal 3 binary64)) x)
✓	cost-diff	0	(*.f64 y #s(literal 3 binary64))
✓	cost-diff	128	(.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 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 -4/29 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) y)

Rules

64×	`-lowering-.f32`
64×	`-lowering-.f64`
40×	`fma-define`
36×	`fma-lowering-fma.f32`
36×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	40	64
2	55	62
3	68	62
4	96	62
5	108	62
6	110	62
0	110	62

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize91.0ms (1.5%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.7%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 y #s(literal 3 binary64)) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.5%	(.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))
✓	accuracy	99.8%	(*.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 -4/29 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) y)

Results

43.0ms	213×	0	valid
13.0ms	20×	2	valid
10.0ms	23×	1	valid

Compiler

Compiled 76 to 17 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 17.0ms (48.1% of total)

ival-div: 7.0ms (19.8% of total)

...c/correct-round.rkt:119:19: 6.0ms (17% of total)

ival-add: 3.0ms (8.5% of total)

backward-pass: 2.0ms (5.7% of total)

const: 1.0ms (2.8% of total)

series4.0ms (0.1%)

Counts

11 → 180

Calls

Call 1

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

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 -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 (* -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 (* 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 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

45 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)

rewrite393.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3508×	`/-lowering-/.f32`
3508×	`/-lowering-/.f64`
2910×	`-lowering-.f32`
2910×	`-lowering-.f64`
1686×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	70	44
2	295	42
3	2135	42
0	8589	42

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 660

Calls

Call 1

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

Outputs
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.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 -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 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) x))) (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) x))))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal -4/29 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 x (.f64 #s(literal 3 binary64) y) (.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 y (.f64 #s(literal 3 binary64) x) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 y #s(literal -12/29 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64) (.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 (.f64 x y) #s(literal 3 binary64) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) x) y (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -12/29 binary64) y (.f64 x (.f64 #s(literal 3 binary64) y)))
(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 #s(literal 3 binary64) (-.f64 #s(literal 4/29 binary64) x)) y))
(neg.f64 (.f64 y (.f64 #s(literal 3 binary64) (-.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 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y))))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y) #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 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 1/3 binary64))
(/.f64 (*.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(/.f64 (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (.f64 x (.f64 x x))) #s(literal -192/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 4/29 binary64) x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) 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 (.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 #s(literal 3 binary64) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.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 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64))))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 64/24389 binary64) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 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 #s(literal 64/24389 binary64) (.f64 #s(literal -1 binary64) (.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 #s(literal 3 binary64) y) (-.f64 #s(literal 0 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 #s(literal 3 binary64) y) (-.f64 #s(literal 0 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 #s(literal 3 binary64) y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 16/841 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(/.f64 (neg.f64 (*.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1 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 64/24389 binary64) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) (+.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 x) #s(literal -16/841 binary64)))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 3 binary64) (.f64 x (.f64 x x))) #s(literal -192/24389 binary64)) y) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)) y) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (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 #s(literal 3 binary64) y) (/.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 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -16/841 binary64)))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y)) #s(literal -1/3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (neg.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (neg.f64 (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (.f64 x (.f64 x x))) #s(literal -192/24389 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 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 4/29 binary64) x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) 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 (.f64 x x)) #s(literal -64/24389 binary64)))) (neg.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))))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) 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)))) (neg.f64 (.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 64/24389 binary64) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (-.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 #s(literal 64/24389 binary64) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))) (neg.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))))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64))))
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(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 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))))))) #s(literal 1 binary64)) (pow.f64 (+.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)))) #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 (.f64 x x) #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 (.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 (.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 x (.f64 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 (+.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 (.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 (.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 (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 (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 #s(literal 3 binary64) (.f64 #s(literal -4/29 binary64) y))
(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
(*.f64 y #s(literal -12/29 binary64))
(.f64 (.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 #s(literal -4/29 binary64) y)
(*.f64 y #s(literal -4/29 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal -4/29 binary64) y))
(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
(*.f64 y #s(literal -12/29 binary64))
(.f64 (.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 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 #s(literal 3 binary64) y)))
(/.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))))
(/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(*.f64 x y)
(*.f64 y x)

simplify244.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

2366×	`-lowering-.f32`
2366×	`-lowering-.f64`
1936×	`sum5-define`
1342×	`fnmadd-define`
1120×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	94	814
1	254	766
2	616	766
3	1375	766
4	3730	762
5	7695	762
0	8657	762

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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

eval108.0ms (1.8%)

Compiler: Compiled 16658 to 2725 computations (83.6% saved)

prune108.0ms (1.8%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	860	2	862
Fresh	1	0	1
Picked	1	4	5
Done	1	4	5
Total	863	10	873

Accuracy

100.0%

Counts

873 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
▶	99.3%	(*.f64 (/.f64 (-.f64 #s(literal 4/29 binary64) x) #s(literal -1/3 binary64)) y)
✓	99.4%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	56.3%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	56.3%	(.f64 (.f64 y #s(literal 3 binary64)) x)
✓	45.5%	(.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))
✓	45.6%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	56.0%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	45.7%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 76 to 59 computations (22.4% saved)

simplify113.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	(/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))
✓	cost-diff	(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
✓	cost-diff	(-.f64 #s(literal 4/29 binary64) x)
✓	cost-diff	(/.f64 (-.f64 #s(literal 4/29 binary64) x) #s(literal -1/3 binary64))
✓	cost-diff	(*.f64 (/.f64 (-.f64 #s(literal 4/29 binary64) x) #s(literal -1/3 binary64)) y)

Rules

1920×	`sum5-define`
1480×	`sum3-define`
1152×	`fmsub-define`
1112×	`fnmsub-define`
1086×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	24	38
2	46	38
3	97	38
4	174	35
5	285	35
6	554	35
7	837	35
8	1286	35
9	1951	35
10	3215	35
11	5547	35
12	5716	35
13	5892	35
14	5961	35
15	6119	35
16	6584	35
17	6714	35
0	6714	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize77.0ms (1.3%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))
✓	accuracy	99.6%	(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
✓	accuracy	100.0%	(-.f64 #s(literal 4/29 binary64) x)
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 4/29 binary64) x) #s(literal -1/3 binary64))
✓	accuracy	99.4%	(*.f64 (/.f64 (-.f64 #s(literal 4/29 binary64) x) #s(literal -1/3 binary64)) y)

Results

36.0ms	213×	0	valid
15.0ms	23×	1	valid
10.0ms	20×	2	valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

...c/correct-round.rkt:119:19: 16.0ms (38.4% of total)

ival-div: 9.0ms (21.6% of total)

ival-sub: 9.0ms (21.6% of total)

ival-add: 3.0ms (7.2% of total)

ival-mult: 3.0ms (7.2% of total)

backward-pass: 1.0ms (2.4% of total)

const: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts

6 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ 1/3 (+ x -4/29))
2.0ms	x	@	inf	(* (/ (- 4/29 x) -1/3) y)
1.0ms	y	@	0	(* (/ (- 4/29 x) -1/3) y)
1.0ms	y	@	inf	(* (/ (- 4/29 x) -1/3) y)
0.0ms	x	@	0	(* (/ (- 4/29 x) -1/3) y)

rewrite352.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2666×	`fma-lowering-fma.f32`
2666×	`fma-lowering-fma.f64`
2344×	`-lowering-.f32`
2344×	`-lowering-.f64`
2198×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	73	30
2	480	30
3	4815	27
0	8098	27

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 895

Calls

Call 1

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

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

simplify184.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2474×	`-lowering-.f32`
2474×	`-lowering-.f64`
1544×	`fnmadd-define`
1164×	`+-lowering-+.f64`
1164×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	103	573
1	276	483
2	677	483
3	1527	483
4	4342	479
0	8369	479

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

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 #s(literal 3 binary64) (.f64 y 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 #s(literal 3 binary64) (.f64 y 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 (- 4/29 x)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -3 (* y (- 4/29 x)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -3 (* y (- 4/29 x)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -3 (* y (- 4/29 x)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -3 (* y (- 4/29 x)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -3 (* y (- 4/29 x)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -3 (* y (- 4/29 x)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -3 (* y (- 4/29 x)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -3 (* y (- 4/29 x)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -3 (* y (- 4/29 x)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -3 (* y (- 4/29 x)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -3 (* y (- 4/29 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))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* -1 x))
(-.f64 #s(literal 4/29 binary64) x)
(+ 4/29 (* -1 x))
(-.f64 #s(literal 4/29 binary64) x)
(+ 4/29 (* -1 x))
(-.f64 #s(literal 4/29 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 1))
(-.f64 #s(literal 4/29 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 1))
(-.f64 #s(literal 4/29 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 1))
(-.f64 #s(literal 4/29 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 4/29 (/ 1 x)))))
(-.f64 #s(literal 4/29 binary64) x)
(* -1 (* x (- 1 (* 4/29 (/ 1 x)))))
(-.f64 #s(literal 4/29 binary64) x)
(* -1 (* x (- 1 (* 4/29 (/ 1 x)))))
(-.f64 #s(literal 4/29 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)))
(* -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 #s(literal 3 binary64) (.f64 y 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 #s(literal 3 binary64) (.f64 y 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)))
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(+.f64 (*.f64 x #s(literal -841/48 binary64)) #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 (/.f64 #s(literal 16/2523 binary64) x) (+.f64 #s(literal 4/87 binary64) (/.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 (/.f64 #s(literal 16/2523 binary64) x) (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 64/73167 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))

eval162.0ms (2.7%)

Compiler: Compiled 20757 to 2229 computations (89.3% saved)

prune136.0ms (2.3%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	989	2	991
Fresh	0	0	0
Picked	1	1	2
Done	1	7	8
Total	991	10	1001

Accuracy

100.0%

Counts

1001 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.3%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
	45.5%	(/.f64 y #s(literal -29/12 binary64))
✓	99.3%	(*.f64 (/.f64 (-.f64 #s(literal 4/29 binary64) x) #s(literal -1/3 binary64)) y)
✓	99.4%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	56.3%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	56.3%	(.f64 (.f64 y #s(literal 3 binary64)) x)
✓	45.6%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	56.0%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	45.7%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 179 to 104 computations (41.9% saved)

regimes31.0ms (0.5%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	x
7.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
5.0ms	y
5.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
5.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.6%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.6%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes7.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
97.9%	3	`x`
61.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

4.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.2b remaining (-0.4%)

Threshold costs -0.2b (-0.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
45.7%	1	`y`
45.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch33.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.1199954895182445	573677562011.1108
13.0ms	-431950.0536375332	-0.0009877839400928151

Results

17.0ms

304×

valid

Compiler

Compiled 282 to 222 computations (21.3% saved)

Precisions

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

ival-mult: 4.0ms (42.4% of total)

ival-div: 3.0ms (31.8% of total)

ival-sub: 2.0ms (21.2% of total)

const: 1.0ms (10.6% of total)

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

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.1199954895182445	573677562011.1108
16.0ms	-431950.0536375332	-0.0009877839400928151

Results

20.0ms

304×

valid

Compiler

Compiled 282 to 222 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (64.1% of total)

ival-div: 3.0ms (24% of total)

ival-sub: 2.0ms (16% of total)

const: 1.0ms (8% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	55
1	35	55

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (.f64 (.f64 y #s(literal 3 binary64)) x) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (.f64 #s(literal -12/29 binary64) y) (.f64 (*.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) y) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (.f64 #s(literal -12/29 binary64) y) (.f64 (*.f64 x #s(literal 3 binary64)) y)))
(*.f64 #s(literal -12/29 binary64) y)

Outputs
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
(.f64 y (.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)))
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (.f64 (.f64 y #s(literal 3 binary64)) x) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (.f64 #s(literal -12/29 binary64) y) (.f64 (*.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (.f64 y #s(literal -12/29 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) y) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (.f64 #s(literal -12/29 binary64) y) (.f64 (*.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (.f64 y (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (.f64 y #s(literal -12/29 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 y #s(literal -12/29 binary64))

soundness1.1s (18.3%)

Rules

4764×	`/-lowering-/.f32`
4764×	`/-lowering-/.f64`
3190×	`-lowering-.f32`
3190×	`-lowering-.f64`
2922×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	17	7
2	32	6
3	64	6
4	106	6
5	112	6
0	112	6
0	15	47
1	58	47
2	344	44
3	2978	44
0	8294	44
0	42	254
1	122	212
2	324	212
3	750	212
4	2032	212
5	4151	212
6	7173	212
0	8310	212
0	7	15
1	26	15
2	159	13
3	1324	13
0	8287	13

Stop Event

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

Compiler

Compiled 185 to 117 computations (36.8% saved)

preprocess59.0ms (1%)

Remove: (negabs y)
Compiler: Compiled 216 to 118 computations (45.4% saved)

analyze0.0ms (0%)

sample803.0ms (13.4%)

preprocess116.0ms (1.9%)

explain126.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize73.0ms (1.2%)

series4.0ms (0.1%)

rewrite380.0ms (6.3%)

simplify163.0ms (2.7%)

eval58.0ms (1%)

prune74.0ms (1.2%)

simplify7.0ms (0.1%)

localize92.0ms (1.5%)

series10.0ms (0.2%)

rewrite319.0ms (5.3%)

simplify182.0ms (3%)

eval121.0ms (2%)

prune196.0ms (3.3%)

simplify8.0ms (0.1%)

localize91.0ms (1.5%)

series4.0ms (0.1%)

rewrite393.0ms (6.5%)

simplify244.0ms (4.1%)

eval108.0ms (1.8%)

prune108.0ms (1.8%)

simplify113.0ms (1.9%)

localize77.0ms (1.3%)

series8.0ms (0.1%)

rewrite352.0ms (5.9%)

simplify184.0ms (3.1%)

eval162.0ms (2.7%)

prune136.0ms (2.3%)

regimes31.0ms (0.5%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch33.0ms (0.5%)

bsearch38.0ms (0.6%)

simplify8.0ms (0.1%)

soundness1.1s (18.3%)

preprocess59.0ms (1%)

end0.0ms (0%)

Profiling