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)

sample905.0ms (14.8%)

Results

645.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-mult: 197.0ms (53.7% of total)

ival-div: 95.0ms (25.9% of total)

ival-sub: 54.0ms (14.7% of total)

const: 18.0ms (4.9% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess113.0ms (1.8%)

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)

explain104.0ms (1.7%)

FPErrors

Click to see full error table

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

Results

42.0ms	460×	0	valid
8.0ms	20×	1	valid
8.0ms	32×	2	valid

Compiler

Compiled 75 to 29 computations (61.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 8.0ms (35% of total)

ival-mult: 8.0ms (35% of total)

ival-sub: 3.0ms (13.1% of total)

const: 1.0ms (4.4% of total)

backward-pass: 1.0ms (4.4% 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
▶	99.8%	(.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

localize34.0ms (0.6%)

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	99.8%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)

Results

20.0ms	230×	0	valid
4.0ms	16×	2	valid
2.0ms	10×	1	valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

...c/correct-round.rkt:119:19: 6.0ms (43.4% of total)

ival-mult: 5.0ms (36.2% of total)

ival-add: 2.0ms (14.5% of total)

backward-pass: 1.0ms (7.2% of total)

const: 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	x	@	inf	(* (* (+ x -4/29) 3) y)
0.0ms	y	@	inf	(* (* (+ x -4/29) 3) y)
0.0ms	x	@	0	(* (* (+ x -4/29) 3) y)
0.0ms	x	@	-inf	(* (* (+ x -4/29) 3) y)

rewrite432.0ms (7.1%)

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	160	13
3	1326	13
0	8335	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 (.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y (*.f64 x #s(literal 3 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 (.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -12/29 binary64) y))
(+.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 (*.f64 x #s(literal 3 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 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))
(fma.f64 (.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 (.f64 x #s(literal 3 binary64)) y (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal -12/29 binary64) y (.f64 (.f64 x #s(literal 3 binary64)) y))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 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 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 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 #s(literal 0 binary64) (+.f64 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 #s(literal 0 binary64) (+.f64 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 (.f64 x x) #s(literal -16/841 binary64)) (*.f64 #s(literal 3 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 (.f64 x x) #s(literal -16/841 binary64)) (*.f64 #s(literal 3 binary64) y))) (-.f64 #s(literal 0 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 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 #s(literal 0 binary64) (+.f64 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 #s(literal 0 binary64) (+.f64 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 (.f64 x x) #s(literal -16/841 binary64)) (.f64 #s(literal 3 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 (.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 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 #s(literal 0 binary64) (+.f64 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 (.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 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)))))))
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(.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 16/841 binary64)) #s(literal -29/4 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 16/841 binary64)) #s(literal -29/4 binary64))) (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))))))))
(.f64 (-.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 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) (-.f64 (/.f64 x #s(literal 16/841 binary64)) #s(literal -29/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #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 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #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))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64)) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 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 (.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 (.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 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))))
(.f64 (pow.f64 (/.f64 (+.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #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 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 16/841 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (+.f64 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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #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 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 16/841 binary64))))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 16/841 binary64))))) (-.f64 #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 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 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 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x 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 #s(literal 0 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 #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)))

simplify185.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2398×	`fmsub-define`
2160×	`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	7175	212
0	8366	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))

eval78.0ms (1.3%)

Compiler: Compiled 12635 to 1502 computations (88.1% saved)

prune80.0ms (1.3%)

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
	48.2%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (.f64 (.f64 x #s(literal 3 binary64)) y)) (.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal -12/29 binary64) y))) (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -12/29 binary64) y)))
	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
▶	99.8%	(*.f64 (fma.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))
▶	55.4%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	47.3%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 160 to 100 computations (37.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	0	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
✓	cost-diff	0	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓	cost-diff	0	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	cost-diff	0	(*.f64 #s(literal -12/29 binary64) y)
✓	cost-diff	6272	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓	cost-diff	6272	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	30	64
2	57	64
3	103	64
4	105	64
0	105	64

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize103.0ms (1.7%)

Localize:

Found 11 expressions of interest:

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

Results

56.0ms	230×	0	valid
19.0ms	16×	2	valid
4.0ms	10×	1	valid

Compiler

Compiled 69 to 16 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 25.0ms (45.5% of total)

...c/correct-round.rkt:119:19: 14.0ms (25.5% of total)

compiled-spec: 11.0ms (20% of total)

ival-add: 3.0ms (5.5% of total)

backward-pass: 2.0ms (3.6% of total)

const: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts

10 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* (+ (* x 3) -12/29) y)
2.0ms	x	@	0	(* (* x 3) y)
1.0ms	y	@	0	(* (+ (* x 3) -12/29) y)
1.0ms	y	@	0	(* (* x 3) y)
0.0ms	x	@	inf	(* (* x 3) y)

rewrite323.0ms (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: 0 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	58	44
2	346	44
3	2988	44
0	8366	44

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 642

Calls

Call 1

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

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

simplify156.0ms (2.6%)

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	2906	832
5	6495	832
0	8131	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)))))
(* 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)))
(* -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)))
(* -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) (* 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)

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

eval112.0ms (1.8%)

Compiler: Compiled 18149 to 1557 computations (91.4% saved)

prune71.0ms (1.2%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	927	4	931
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	927	11	938

Accuracy

100.0%

Counts

938 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (.f64 (.f64 x #s(literal 3 binary64)) y)) (.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal -12/29 binary64) y))) (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -12/29 binary64) y)))
▶	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
✓	99.8%	(*.f64 (fma.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))
▶	55.4%	(.f64 (.f64 y x) #s(literal 3 binary64))
▶	47.1%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	55.4%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	55.4%	(.f64 (.f64 #s(literal 3 binary64) y) x)
▶	47.1%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	47.3%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 178 to 115 computations (35.4% saved)

simplify14.0ms (0.2%)

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

Rules

96×	`-lowering-.f32`
96×	`-lowering-.f64`
72×	`fma-define`
64×	`fma-lowering-fma.f32`
64×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	35	63
2	46	63
3	78	63
4	106	63
5	114	63
6	119	63
7	130	63
8	143	63
9	161	63
10	173	63
11	189	63
12	196	63
13	196	63
0	196	63

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize125.0ms (2.1%)

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	99.9%	(*.f64 y #s(literal -4/29 binary64))
✓	accuracy	99.6%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.5%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	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	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))
✓	accuracy	99.6%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))

Results

52.0ms	230×	0	valid
14.0ms	16×	2	valid
4.0ms	10×	1	valid

Compiler

Compiled 76 to 18 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 16.0ms (49.3% of total)

...c/correct-round.rkt:119:19: 9.0ms (27.7% of total)

ival-div: 4.0ms (12.3% of total)

ival-add: 2.0ms (6.2% of total)

const: 1.0ms (3.1% of total)

backward-pass: 1.0ms (3.1% of total)

series4.0ms (0.1%)

Counts

11 → 180

Calls

Call 1

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

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

Calls

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)

rewrite319.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3570×	`-lowering-.f32`
3570×	`-lowering-.f64`
1986×	`/-lowering-/.f32`
1986×	`/-lowering-/.f64`
1894×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	64	43
2	304	43
3	2611	43
0	8187	43

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 549

Calls

Call 1

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

Outputs
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 y (.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -12/29 binary64))) (.f64 #s(literal 1 binary64) (.f64 y (*.f64 x #s(literal 3 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64)) (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64)))
(+.f64 (.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (.f64 (.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 y (+.f64 #s(literal 12/29 binary64) (.f64 x #s(literal -3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 12/29 binary64) (.f64 x #s(literal -3 binary64))))) (.f64 y (+.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal -3 binary64)))))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))
(fma.f64 y (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (.f64 y #s(literal -12/29 binary64))))
(fma.f64 x (.f64 y #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 y x) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -12/29 binary64) y (.f64 y (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 y #s(literal 3 binary64)) x (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 y x) #s(literal 3 binary64) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal -3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal -3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64)))
(fma.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (.f64 y (+.f64 #s(literal 12/29 binary64) (.f64 x #s(literal -3 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))))
(/.f64 y (/.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 1 binary64) (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (.f64 y (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) (.f64 y (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))))
(/.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (+.f64 #s(literal 12/29 binary64) (.f64 x #s(literal -3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 12/29 binary64) (.f64 x #s(literal -3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (+.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 #s(literal 9 binary64))) #s(literal -144/841 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))
(/.f64 (.f64 y (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))
(/.f64 (.f64 y (+.f64 (.f64 (.f64 x (.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 y (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))
(/.f64 (.f64 y (+.f64 (.f64 x (.f64 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 y (+.f64 #s(literal 12/29 binary64) (.f64 x #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 y (+.f64 #s(literal 1728/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 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 y (+.f64 #s(literal 1728/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 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 y (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 9 binary64)))) #s(literal 144/841 binary64))) (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)))
(/.f64 (.f64 y (+.f64 (neg.f64 (.f64 x (.f64 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 #s(literal 1 binary64) (+.f64 #s(literal 1728/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) y) (-.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 1 binary64) (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 9 binary64)))) #s(literal 144/841 binary64))) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 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 (-.f64 #s(literal 0 binary64) y) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1728/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1728/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 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 (-.f64 #s(literal 0 binary64) y) (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 9 binary64)))) #s(literal 144/841 binary64))) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (neg.f64 (.f64 x (.f64 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 y (+.f64 #s(literal 144/841 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))) (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 y (+.f64 #s(literal 144/841 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))) (.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 #s(literal -9 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 144/841 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))) (.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 0 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 12/29 binary64) (.f64 x #s(literal -3 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (-.f64 #s(literal 0 binary64) y)) (.f64 (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (-.f64 #s(literal 0 binary64) y)) (.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1728/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))) y) (-.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 (+.f64 #s(literal 1728/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))) y) (.f64 (-.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))))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1728/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))) #s(literal 1 binary64)) (.f64 (-.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 #s(literal 1 binary64) y)))
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(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (pow.f64 (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (pow.f64 (/.f64 #s(literal 1 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)))))) #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 x (.f64 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 (.f64 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))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1728/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 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 (neg.f64 (.f64 x (.f64 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 #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 27 binary64)) #s(literal -1728/24389 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))
(.f64 (+.f64 #s(literal 144/841 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal 3 binary64)))))
(.f64 (sqrt.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) (sqrt.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
(.f64 (sqrt.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) (pow.f64 (/.f64 (pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.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 (.f64 x 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 x (.f64 x #s(literal 9 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.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 x (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 144/841 binary64) (.f64 x #s(literal 36/29 binary64)))))) (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal 36/29 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal 1728/24389 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) #s(literal -1 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 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1728/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)))) #s(literal -1 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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 9 binary64)))) #s(literal 144/841 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 1728/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))) #s(literal 1 binary64)) (pow.f64 (/.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)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 9 binary64)))) #s(literal 144/841 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 144/841 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x (.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))))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 (.f64 (.f64 x 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 x (.f64 x #s(literal 9 binary64)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x (.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 x (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 144/841 binary64) (.f64 x #s(literal 36/29 binary64)))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal 36/29 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal 1728/24389 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144/841 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal 3 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 (.f64 x (.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 (.f64 x 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 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) #s(literal -20736/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal 144/841 binary64))))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (+.f64 #s(literal 12/29 binary64) (.f64 x #s(literal -3 binary64))))))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))) (exp.f64 (log.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 (exp.f64 (log.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))))
(exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 x)))
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -12/29 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -12/29 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal -12/29 binary64))
(.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)))
(*.f64 #s(literal -12/29 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))
(.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 y (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 y x))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 (.f64 y x) #s(literal 3 binary64))
(.f64 (.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -12/29 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -12/29 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal -12/29 binary64))
(.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)))
(*.f64 #s(literal -12/29 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))
(.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -4/29 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -4/29 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal -4/29 binary64))
(*.f64 #s(literal -4/29 binary64) y)
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 y (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 y x))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 (.f64 y x) #s(literal 3 binary64))
(.f64 (.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -1 binary64))
(*.f64 y x)
(.f64 y (.f64 #s(literal 1 binary64) x))
(*.f64 x y)
(.f64 (.f64 y x) #s(literal 1 binary64))

simplify221.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2162×	`fma-lowering-fma.f32`
2162×	`fma-lowering-fma.f64`
1990×	`fnmadd-define`
1784×	`fmsub-define`
1690×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	89	780
1	234	770
2	542	770
3	1171	770
4	2370	768
5	5042	768
0	8565	768

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval165.0ms (2.7%)

Compiler: Compiled 12728 to 1718 computations (86.5% saved)

prune82.0ms (1.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	745	3	748
Fresh	1	0	1
Picked	3	2	5
Done	1	4	5
Total	750	9	759

Accuracy

100.0%

Counts

759 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
▶	47.1%	(/.f64 y #s(literal -29/12 binary64))
▶	55.4%	(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)) x)
✓	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))
✓	55.4%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	55.4%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	55.4%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	47.3%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 67 to 51 computations (23.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	128	(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 y #s(literal -29/12 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)) x)

Rules

28×	`-lowering-.f32`
28×	`-lowering-.f64`
22×	`/-lowering-/.f32`
22×	`/-lowering-/.f64`
14×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	21	33
2	31	33
3	48	33
4	48	33
5	49	33
0	49	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize146.0ms (2.4%)

Localize:

Found 7 expressions of interest:

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

Results

106.0ms	99×	5	exit
21.0ms	157×	0	valid

Compiler

Compiled 44 to 12 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-div: 29.0ms (42.3% of total)

backward-pass: 22.0ms (32.1% of total)

ival-mult: 11.0ms (16.1% of total)

...c/correct-round.rkt:119:19: 5.0ms (7.3% of total)

const: 1.0ms (1.5% of total)

series2.0ms (0%)

Counts

6 → 96

Calls

Call 1

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

Outputs
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* -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)>

Calls

24 calls:

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

rewrite251.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2194×	`-lowering-.f32`
2194×	`-lowering-.f64`
1484×	`/-lowering-/.f32`
1484×	`/-lowering-/.f64`
1470×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	50	21
2	197	21
3	894	21
4	5457	21
0	8330	21

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 659

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal 1/3 binary64) x)))
(+.f64 (.f64 (.f64 x #s(literal -3 binary64)) #s(literal 0 binary64)) (/.f64 y (/.f64 #s(literal 1/3 binary64) x)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) y))))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal 1/3 binary64) x)))
(neg.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
(/.f64 y (/.f64 #s(literal -1/3 binary64) x))
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) y))
(/.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 y x) #s(literal 1/3 binary64))
(/.f64 (*.f64 y x) #s(literal -1/3 binary64))
(/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(/.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) x))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal 1/3 binary64) x) (.f64 y y)))
(/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal -1/3 binary64) x) (.f64 y y)))
(/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1/3 binary64) x) y))
(/.f64 (.f64 y y) (.f64 (/.f64 #s(literal -1/3 binary64) x) y))
(/.f64 (.f64 y y) (.f64 y (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (.f64 y y) (.f64 y (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/3 binary64))))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) x))
(/.f64 (sqrt.f64 y) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 (/.f64 (*.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -1/2 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 #s(literal -1/3 binary64) x) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y)) (.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y x))) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y)) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(/.f64 (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 y (.f64 y y))) (.f64 y y))
(/.f64 (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 y y)) y)
(/.f64 (.f64 (.f64 x #s(literal -3 binary64)) (.f64 y (.f64 y y))) (*.f64 y y))
(/.f64 (.f64 (.f64 x #s(literal -3 binary64)) (*.f64 y y)) y)
(/.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 x #s(literal 1/3 binary64))) (.f64 y y))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x #s(literal -3 binary64))) (*.f64 y y))
(/.f64 (.f64 (.f64 y y) (/.f64 x #s(literal 1/3 binary64))) y)
(/.f64 (.f64 (.f64 y y) (*.f64 x #s(literal -3 binary64))) y)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) y) (.f64 (.f64 x x) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) y) (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) (sqrt.f64 y)) (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))) y) (/.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) y) (.f64 x #s(literal -3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (sqrt.f64 y)) (.f64 (/.f64 x #s(literal 1/3 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) x))
(/.f64 (.f64 (sqrt.f64 y) #s(literal -1 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 (.f64 x x) #s(literal 9 binary64)))
(/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))) (/.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 x #s(literal -3 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (sqrt.f64 y) (.f64 x #s(literal -3 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 y) (.f64 x #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (.f64 (sqrt.f64 y) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 (sqrt.f64 y) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(/.f64 (.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (*.f64 y y) (/.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 y (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 y y)) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y y))) (.f64 (/.f64 x #s(literal 1/3 binary64)) (*.f64 y y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (/.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) x)) (/.f64 y (/.f64 #s(literal 1/3 binary64) x))) (.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal 1/3 binary64) x))))))
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(.f64 (.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y))
(.f64 (.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 y)))
(.f64 (.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal -3 binary64) (pow.f64 y #s(literal -1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 y) (.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (sqrt.f64 y) (/.f64 (.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) x) #s(literal -1 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 x #s(literal -3 binary64))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (sqrt.f64 y) (/.f64 x (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) x) #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 y #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (/.f64 #s(literal -3 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (neg.f64 (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 #s(literal -1/3 binary64) x)) (/.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -1/3 binary64)) y)
(.f64 (neg.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) y) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) y) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1/2 binary64)))
(.f64 (.f64 x (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (/.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (/.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (*.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 x #s(literal 1/3 binary64))
(/.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (*.f64 x #s(literal -3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal -1 binary64)) (/.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 (.f64 x x) #s(literal 9 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))) (/.f64 x #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 x #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(pow.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -3 binary64)))
(.f64 (.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)))

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`-lowering-.f32`
28×	`-lowering-.f64`
10×	`*-commutative`
4×	`associate-r`
4×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	372
1	20	372
2	23	372
0	23	372

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

Inputs
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 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 (* 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)

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

eval148.0ms (2.4%)

Compiler: Compiled 9533 to 1116 computations (88.3% saved)

prune75.0ms (1.2%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	844	2	846
Fresh	0	0	0
Picked	1	2	3
Done	0	6	6
Total	845	10	855

Accuracy

100.0%

Counts

855 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.4%	(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
	2.9%	(/.f64 y #s(literal 29/12 binary64))
✓	47.1%	(/.f64 y #s(literal -29/12 binary64))
	55.4%	(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
✓	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
✓	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	55.4%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	55.4%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	55.4%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	47.3%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 199 to 102 computations (48.7% saved)

regimes33.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
7.0ms	x
6.0ms	y
5.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
5.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes27.0ms (0.4%)

Counts

17 → 1

Calls

Call 1

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

Calls

5 calls:

6.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
5.0ms	y
5.0ms	x
5.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
5.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes8.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
98.6%	3	`x`
57.6%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -29.1b remaining (-86.2%)

Threshold costs -29.1b (-86.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
47.3%	1	`y`
47.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch30.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.858051101511317e-22	5845008.786018753
10.0ms	-0.9660467215230166	-0.021392729356156454

Results

17.0ms

288×

valid

Compiler

Compiled 268 to 211 computations (21.3% saved)

Precisions

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

ival-mult: 4.0ms (43.4% of total)

ival-div: 2.0ms (21.7% of total)

ival-sub: 2.0ms (21.7% of total)

const: 1.0ms (10.9% of total)

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

bsearch33.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.858051101511317e-22	5845008.786018753
12.0ms	-0.9660467215230166	-0.021392729356156454

Results

21.0ms

288×

valid

Compiler

Compiled 268 to 211 computations (21.3% saved)

Precisions

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

ival-mult: 6.0ms (56.6% of total)

ival-div: 2.0ms (18.9% of total)

ival-sub: 1.0ms (9.4% of total)

const: 1.0ms (9.4% 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
23.0ms	4.858051101511317e-22	5845008.786018753
12.0ms	-0.9660467215230166	-0.021392729356156454

Results

26.0ms

288×

valid

Compiler

Compiled 268 to 211 computations (21.3% saved)

Precisions

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

ival-mult: 11.0ms (61.7% of total)

ival-div: 4.0ms (22.4% of total)

ival-sub: 1.0ms (5.6% of total)

const: 1.0ms (5.6% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	75
1	40	75

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.6s (25.4%)

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	53	958
1	165	832
2	448	832
3	1018	832
4	2906	832
5	6495	832
0	8131	832
0	42	254
1	122	212
2	324	212
3	750	212
4	2032	212
5	4151	212
6	7175	212
0	8366	212
0	7	15
1	26	15
2	160	13
3	1326	13
0	8335	13
0	15	44
1	58	44
2	346	44
3	2988	44
0	8366	44
0	10	7
1	17	7
2	32	6
3	64	6
4	106	6
5	112	6
0	112	6

Stop Event

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

Compiler

Compiled 266 to 167 computations (37.2% saved)

preprocess55.0ms (0.9%)

Remove: (negabs y)
Compiler: Compiled 234 to 108 computations (53.8% saved)

Iter	Nodes	Cost
0	17	64
1	35	63
2	46	63
3	78	63
4	106	63
5	114	63
6	119	63
7	130	63
8	143	63
9	161	63
10	173	63
11	189	63
12	196	63
13	196	63
0	196	63

Iter	Nodes	Cost
0	17	64
1	35	63
2	46	63
3	78	63
4	106	63
5	114	63
6	119	63
7	130	63
8	143	63
9	161	63
10	173	63
11	189	63
12	196	63
13	196	63
0	196	63

analyze0.0ms (0%)

sample905.0ms (14.8%)

preprocess113.0ms (1.8%)

explain104.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize34.0ms (0.6%)

series4.0ms (0.1%)

rewrite432.0ms (7.1%)

simplify185.0ms (3%)

eval78.0ms (1.3%)

prune80.0ms (1.3%)

simplify8.0ms (0.1%)

localize103.0ms (1.7%)

series12.0ms (0.2%)

rewrite323.0ms (5.3%)

simplify156.0ms (2.6%)

eval112.0ms (1.8%)

prune71.0ms (1.2%)

simplify14.0ms (0.2%)

localize125.0ms (2.1%)

series4.0ms (0.1%)

rewrite319.0ms (5.2%)

simplify221.0ms (3.6%)

eval165.0ms (2.7%)

prune82.0ms (1.3%)

simplify7.0ms (0.1%)

localize146.0ms (2.4%)

series2.0ms (0%)

rewrite251.0ms (4.1%)

simplify15.0ms (0.2%)

eval148.0ms (2.4%)

prune75.0ms (1.2%)

regimes33.0ms (0.5%)

regimes27.0ms (0.4%)

regimes8.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

bsearch30.0ms (0.5%)

bsearch33.0ms (0.5%)

bsearch38.0ms (0.6%)

simplify9.0ms (0.1%)

soundness1.6s (25.4%)

preprocess55.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	64
1	35	63
2	46	63
3	78	63
4	106	63
5	114	63
6	119	63
7	130	63
8	143	63
9	161	63
10	173	63
11	189	63
12	196	63
13	196	63
0	196	63