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)

sample886.0ms (13.6%)

Results

637.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-div: 116.0ms (37% of total)

ival-mult: 114.0ms (36.4% of total)

ival-sub: 61.0ms (19.5% of total)

const: 19.0ms (6.1% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess109.0ms (1.7%)

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)

explain156.0ms (2.4%)

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

79.0ms	472×	0	valid
9.0ms	28×	1	valid
4.0ms	12×	2	valid

Compiler

Compiled 75 to 29 computations (61.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (44.6% of total)

ival-div: 5.0ms (22.3% of total)

ival-sub: 5.0ms (22.3% of total)

const: 1.0ms (4.5% of total)

backward-pass: 1.0ms (4.5% 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
▶	99.7%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (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

localize49.0ms (0.7%)

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

34.0ms	236×	0	valid
3.0ms	14×	1	valid
2.0ms	6×	2	valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

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

...c/correct-round.rkt:119:19: 5.0ms (44.3% of total)

ival-mult: 4.0ms (35.5% of total)

ival-add: 2.0ms (17.7% of total)

backward-pass: 1.0ms (8.9% 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)

rewrite385.0ms (5.9%)

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))))))
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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)))

simplify158.0ms (2.4%)

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))

eval58.0ms (0.9%)

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

prune108.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	466	9	475
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	467	9	476

Accuracy

100.0%

Counts

476 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.7%	(/.f64 (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
▶	99.4%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
▶	99.8%	(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -12/29 binary64) y))
	99.2%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 3 binary64))) y)
	79.1%	(.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)))
	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))
	54.1%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	47.7%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 194 to 148 computations (23.7% saved)

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -48/841 binary64))
✓	cost-diff	0	(.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))
✓	cost-diff	0	(/.f64 (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #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	0	(/.f64 y (/.f64 #s(literal 1 binary64) (+.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	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 #s(literal -12/29 binary64) y)
✓	cost-diff	0	(*.f64 #s(literal -12/29 binary64) y)
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	cost-diff	128	(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -12/29 binary64) y))

Rules

478×	`-lowering-.f32`
478×	`-lowering-.f64`
322×	`fma-define`
244×	`times-frac`
212×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	104
1	60	104
2	108	104
3	190	104
4	262	104
5	319	104
6	402	104
7	532	104
8	650	104
9	795	104
10	845	104
11	905	104
12	925	104
13	927	104
0	927	104

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (* x 3) y) (* -12/29 y))
(* (* x 3) y)
(* x 3)
x
3
y
(* -12/29 y)
-12/29
(* -12/29 y)
-12/29
y
(* (* (+ x -4/29) y) 3)
(* (+ x -4/29) y)
(+ x -4/29)
x
-4/29
y
3
(/ y (/ 1 (+ (* x 3) -12/29)))
y
(/ 1 (+ (* x 3) -12/29))
1
(+ (* x 3) -12/29)
(* x 3)
x
3
-12/29
(/ (* y (+ (* 3 (* x x)) -48/841)) (+ x 4/29))
(* y (+ (* 3 (* x x)) -48/841))
y
(+ (* 3 (* x x)) -48/841)
(* 3 (* x x))
3
(* x x)
x
-48/841
(+ x 4/29)
4/29

Outputs
(+ (* (* x 3) y) (* -12/29 y))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(* (* x 3) y)
(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
(* x 3)
(/.f64 x #s(literal 1/3 binary64))
x
3
#s(literal 3 binary64)
y
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
-12/29
#s(literal -12/29 binary64)
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
-12/29
#s(literal -12/29 binary64)
y
(* (* (+ x -4/29) y) 3)
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(* (+ x -4/29) y)
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ x -4/29)
(+.f64 x #s(literal -4/29 binary64))
x
-4/29
#s(literal -4/29 binary64)
y
3
#s(literal 3 binary64)
(/ 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 (/.f64 x #s(literal 1/3 binary64)) #s(literal -12/29 binary64))
(* x 3)
(/.f64 x #s(literal 1/3 binary64))
x
3
#s(literal 3 binary64)
-12/29
#s(literal -12/29 binary64)
(/ (* y (+ (* 3 (* x x)) -48/841)) (+ x 4/29))
(/.f64 (.f64 y (+.f64 (/.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* y (+ (* 3 (* x x)) -48/841))
(.f64 y (+.f64 (/.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -48/841 binary64)))
y
(+ (* 3 (* x x)) -48/841)
(+.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal -48/841 binary64))
(* 3 (* x x))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
3
#s(literal 3 binary64)
(* x x)
(*.f64 x x)
x
-48/841
#s(literal -48/841 binary64)
(+ x 4/29)
(+.f64 x #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)

localize163.0ms (2.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -48/841 binary64))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x x))
✓	accuracy	95.7%	(.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))
✓	accuracy	85.0%	(/.f64 (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #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	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
✓	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	99.9%	(*.f64 #s(literal -12/29 binary64) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -12/29 binary64) y))
✓	accuracy	99.9%	(*.f64 #s(literal -12/29 binary64) y)
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) y)

Results

102.0ms	236×	0	valid
12.0ms	14×	1	valid
10.0ms	6×	2	valid

Compiler

Compiled 125 to 25 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

...c/correct-round.rkt:119:19: 17.0ms (33.8% of total)

ival-mult: 16.0ms (31.8% of total)

ival-div: 8.0ms (15.9% of total)

ival-add: 7.0ms (13.9% of total)

backward-pass: 2.0ms (4% of total)

const: 1.0ms (2% of total)

series22.0ms (0.3%)

Counts

14 → 252

Calls

Call 1

Inputs
#<alt (+ (* (* x 3) y) (* -12/29 y))>
#<alt (* (* x 3) y)>
#<alt (* x 3)>
#<alt (* -12/29 y)>
#<alt (* (* (+ x -4/29) y) 3)>
#<alt (* (+ x -4/29) y)>
#<alt (+ x -4/29)>
#<alt (/ 1 (+ (* x 3) -12/29))>
#<alt (/ y (/ 1 (+ (* x 3) -12/29)))>
#<alt (+ (* x 3) -12/29)>
#<alt (/ (* y (+ (* 3 (* x x)) -48/841)) (+ x 4/29))>
#<alt (* y (+ (* 3 (* x x)) -48/841))>
#<alt (+ (* 3 (* x x)) -48/841)>
#<alt (* 3 (* x x))>

Outputs
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -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 -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 (* 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 -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 (/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))>
#<alt (/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))>
#<alt (/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))>
#<alt (/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))>
#<alt (/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))>
#<alt (/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))>
#<alt (/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))>
#<alt (/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))>
#<alt (/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))>
#<alt (/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))>
#<alt (/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))>
#<alt (/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 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 (* y (- (* 3 (pow x 2)) 48/841))>
#<alt (* y (- (* 3 (pow x 2)) 48/841))>
#<alt (* y (- (* 3 (pow x 2)) 48/841))>
#<alt (* y (- (* 3 (pow x 2)) 48/841))>
#<alt (* y (- (* 3 (pow x 2)) 48/841))>
#<alt (* y (- (* 3 (pow x 2)) 48/841))>
#<alt (* y (- (* 3 (pow x 2)) 48/841))>
#<alt (* y (- (* 3 (pow x 2)) 48/841))>
#<alt (* y (- (* 3 (pow x 2)) 48/841))>
#<alt (* y (- (* 3 (pow x 2)) 48/841))>
#<alt (* y (- (* 3 (pow x 2)) 48/841))>
#<alt (* y (- (* 3 (pow x 2)) 48/841))>
#<alt (* -48/841 y)>
#<alt (+ (* -48/841 y) (* 3 (* (pow x 2) y)))>
#<alt (+ (* -48/841 y) (* 3 (* (pow x 2) y)))>
#<alt (+ (* -48/841 y) (* 3 (* (pow x 2) y)))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))>
#<alt (* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))>
#<alt (* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))>
#<alt (* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))>
#<alt (* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))>
#<alt -48/841>
#<alt (- (* 3 (pow x 2)) 48/841)>
#<alt (- (* 3 (pow x 2)) 48/841)>
#<alt (- (* 3 (pow x 2)) 48/841)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(* y (+ (* 3 (* x x)) -48/841))
2.0ms	x	@	0	(/ 1 (+ (* x 3) -12/29))
1.0ms	x	@	-inf	(* x 3)
1.0ms	y	@	0	(/ (* y (+ (* 3 (* x x)) -48/841)) (+ x 4/29))
1.0ms	x	@	0	(+ (* (* x 3) y) (* -12/29 y))

rewrite351.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4002×	`-lowering-.f32`
4002×	`-lowering-.f64`
3638×	`/-lowering-/.f32`
3638×	`/-lowering-/.f64`
1950×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	74
1	147	74
2	1047	74
0	8442	74

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 716

Calls

Call 1

Inputs
(+ (* (* x 3) y) (* -12/29 y))
(* (* x 3) y)
(* x 3)
(* -12/29 y)
(* (* (+ x -4/29) y) 3)
(* (+ x -4/29) y)
(+ x -4/29)
(/ 1 (+ (* x 3) -12/29))
(/ y (/ 1 (+ (* x 3) -12/29)))
(+ (* x 3) -12/29)
(/ (* y (+ (* 3 (* x x)) -48/841)) (+ x 4/29))
(* y (+ (* 3 (* x x)) -48/841))
(+ (* 3 (* x x)) -48/841)
(* 3 (* x x))

Outputs
(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 (*.f64 x #s(literal 3 binary64)) y))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 9 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))) (neg.f64 (/.f64 (.f64 #s(literal 144/841 binary64) (.f64 y y)) (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))))
(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 (.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 9 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))) (/.f64 (.f64 #s(literal 144/841 binary64) (.f64 y y)) (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 9 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 #s(literal 144/841 binary64) (.f64 y y)) (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))) (.f64 y (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 144/841 binary64) (.f64 y y)) (+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal -3 binary64) (.f64 x y)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal -3 binary64) (.f64 x y)))))
(fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.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 y (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 y #s(literal -12/29 binary64) (.f64 (.f64 x #s(literal 3 binary64)) y))
(fma.f64 #s(literal -12/29 binary64) y (.f64 (.f64 x #s(literal 3 binary64)) y))
(fma.f64 (.f64 #s(literal 3 binary64) y) x (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 y x) #s(literal 3 binary64) (.f64 y #s(literal -12/29 binary64)))
(neg.f64 (.f64 y (-.f64 #s(literal 12/29 binary64) (.f64 x #s(literal 3 binary64)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
(/.f64 y (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 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 #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) (neg.f64 (-.f64 #s(literal 0 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 (.f64 #s(literal 144/841 binary64) (.f64 y y)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 9 binary64))) (.f64 (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #s(literal -12/29 binary64)))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (.f64 #s(literal -1728/24389 binary64) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal 144/841 binary64) (.f64 x #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 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal -3 binary64) (.f64 x y))) (-.f64 (.f64 #s(literal 144/841 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal 9 binary64))))))
(/.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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 1 binary64) y) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) #s(literal 1 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 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (.f64 #s(literal -1728/24389 binary64) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 9 binary64))) (.f64 (.f64 y #s(literal -12/29 binary64)) (+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal -3 binary64) (.f64 x y))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (.f64 #s(literal -1728/24389 binary64) (.f64 y (.f64 y y)))) (+.f64 (.f64 #s(literal 144/841 binary64) (.f64 y y)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 9 binary64))) (.f64 (.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y) #s(literal -12/29 binary64)))))
(/.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))) (.f64 y (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))
(/.f64 (.f64 y (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64)))))
(/.f64 (.f64 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 144/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x #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 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64)))))))
(/.f64 (.f64 y (+.f64 (.f64 (.f64 x 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 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (.f64 #s(literal -1728/24389 binary64) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 9 binary64))) (.f64 (.f64 y #s(literal -12/29 binary64)) (+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal -3 binary64) (.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (.f64 #s(literal -1728/24389 binary64) (.f64 y (.f64 y y))))) (neg.f64 (+.f64 (.f64 #s(literal 144/841 binary64) (.f64 y y)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 9 binary64))) (.f64 (.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y) #s(literal -12/29 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))) (-.f64 #s(literal 0 binary64) (.f64 y (+.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 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 144/841 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 9 binary64)))) (+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal -3 binary64) (*.f64 x y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 9 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))) (.f64 (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))) (.f64 #s(literal 144/841 binary64) (.f64 y y)))) (.f64 (.f64 y (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))))
(/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64))))))
(/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (+.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 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64)))))))
(/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))
(/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))))
(/.f64 (.f64 y (-.f64 #s(literal 144/841 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal -3 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.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 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x #s(literal -36/29 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x 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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.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 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64)))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 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 (.f64 x x) #s(literal 9 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal -3 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.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 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) 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 144/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x #s(literal -36/29 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (+.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 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64)))))))
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(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 19683 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1352605460594688/210457284365172120330305161 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729 binary64))) (-.f64 #s(literal 12230590464/353814783205469041 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -2985984/594823321 binary64)))) (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 2304/707281 binary64)) (.f64 (.f64 x x) #s(literal -144/841 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729 binary64))) #s(literal -12230590464/353814783205469041 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 x (.f64 x x))) #s(literal 110592/594823321 binary64)) (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 2304/707281 binary64)) (.f64 (.f64 x x) #s(literal -144/841 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729 binary64))) #s(literal -12230590464/353814783205469041 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64))) (+.f64 #s(literal 5308416/500246412961 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20736/707281 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64))) #s(literal -5308416/500246412961 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 2304/707281 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 x (.f64 x x))) #s(literal -110592/594823321 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 2304/707281 binary64)) (.f64 (.f64 x x) #s(literal -144/841 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal -2304/707281 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 2304/707281 binary64) (.f64 #s(literal -9 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal -48/841 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2304/707281 binary64) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 2304/707281 binary64) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64))) (/.f64 #s(literal 2304/707281 binary64) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64)))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64))) (/.f64 #s(literal 2304/707281 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64)))) (.f64 (/.f64 #s(literal 2304/707281 binary64) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64))) (/.f64 #s(literal 2304/707281 binary64) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64))) (/.f64 #s(literal 2304/707281 binary64) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -48/841 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -48/841 binary64)))
(.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 x (.f64 x x))) #s(literal -110592/594823321 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 2304/707281 binary64)) (.f64 (*.f64 x x) #s(literal -144/841 binary64)))))
(.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 x (.f64 x x))) #s(literal -110592/594823321 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2304/707281 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (*.f64 x x) #s(literal -144/841 binary64))))))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal -2304/707281 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 x (.f64 x x))) #s(literal -110592/594823321 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 2304/707281 binary64)) (.f64 (*.f64 x x) #s(literal -144/841 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal -2304/707281 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 48/841 binary64)))))
(.f64 (+.f64 #s(literal 2304/707281 binary64) (.f64 #s(literal -9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -48/841 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) #s(literal 3 binary64))

simplify308.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

2264×	`-lowering-.f32`
2264×	`-lowering-.f64`
1878×	`fnmadd-define`
1660×	`fma-lowering-fma.f32`
1660×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1567
1	373	1358
2	956	1356
3	2089	1354
4	5629	1354
0	8188	1354

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -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)))
-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))
(* 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)))))
-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)))
(/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))
(/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))
(/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))
(/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))
(/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))
(/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))
(/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))
(/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))
(/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))
(/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))
(/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 x))
(/ (* y (- (* 3 (pow x 2)) 48/841)) (+ 4/29 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)))))
(* y (- (* 3 (pow x 2)) 48/841))
(* y (- (* 3 (pow x 2)) 48/841))
(* y (- (* 3 (pow x 2)) 48/841))
(* y (- (* 3 (pow x 2)) 48/841))
(* y (- (* 3 (pow x 2)) 48/841))
(* y (- (* 3 (pow x 2)) 48/841))
(* y (- (* 3 (pow x 2)) 48/841))
(* y (- (* 3 (pow x 2)) 48/841))
(* y (- (* 3 (pow x 2)) 48/841))
(* y (- (* 3 (pow x 2)) 48/841))
(* y (- (* 3 (pow x 2)) 48/841))
(* y (- (* 3 (pow x 2)) 48/841))
(* -48/841 y)
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(* 3 (* (pow x 2) y))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* 3 (* (pow x 2) y))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
-48/841
(- (* 3 (pow x 2)) 48/841)
(- (* 3 (pow x 2)) 48/841)
(- (* 3 (pow x 2)) 48/841)
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))

Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 y x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* -1 (* y (+ 12/29 (* -3 x))))
(.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
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(*.f64 y #s(literal -48/841 binary64))
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))
(* 3 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 3 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))
(* 3 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 3 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))
-48/841
#s(literal -48/841 binary64)
(- (* 3 (pow x 2)) 48/841)
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -48/841 binary64))
(- (* 3 (pow x 2)) 48/841)
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -48/841 binary64))
(- (* 3 (pow x 2)) 48/841)
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -48/841 binary64))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -48/841 binary64))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -48/841 binary64))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -48/841 binary64))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -48/841 binary64))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -48/841 binary64))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -48/841 binary64))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))

eval122.0ms (1.9%)

Compiler: Compiled 20361 to 2007 computations (90.1% saved)

prune105.0ms (1.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	993	4	997
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	996	10	1006

Accuracy

100.0%

Counts

1006 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.4%	(/.f64 (.f64 (+.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -48/841 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y))
▶	54.1%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
▶	47.4%	(/.f64 y #s(literal -29/12 binary64))
✓	99.8%	(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -12/29 binary64) y))
	99.2%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 3 binary64))) y)
▶	99.6%	(.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))
▶	54.2%	(.f64 (.f64 y x) #s(literal 3 binary64))
▶	54.1%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	47.7%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 155 to 117 computations (24.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

68×	`-lowering-.f32`
68×	`-lowering-.f64`
52×	`fma-define`
36×	`fma-lowering-fma.f32`
36×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	28	55
2	46	55
3	79	54
4	99	54
0	99	54

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize104.0ms (1.6%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.7%	(.f64 (.f64 y x) #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	99.4%	(/.f64 y #s(literal -29/12 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))

Results

86.0ms

256×

valid

Compiler

Compiled 58 to 17 computations (70.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 14.0ms (41.3% of total)

...c/correct-round.rkt:119:19: 11.0ms (32.5% of total)

ival-div: 6.0ms (17.7% of total)

ival-add: 2.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

10 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite325.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

4170×	`/-lowering-/.f32`
4170×	`/-lowering-/.f64`
3394×	`-lowering-.f32`
3394×	`-lowering-.f64`
1490×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	66	40
2	309	40
3	2214	39
0	8246	39

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1114

Calls

Call 1

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

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

simplify157.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1826×	`fnmadd-define`
1626×	`-lowering-.f32`
1626×	`-lowering-.f64`
1360×	`fma-define`
1324×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	787
1	97	766
2	259	745
3	607	745
4	1745	745
5	3862	745
6	7829	745
0	8247	745

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval247.0ms (3.8%)

Compiler: Compiled 18512 to 2767 computations (85.1% saved)

prune172.0ms (2.6%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1291	3	1294
Fresh	2	0	2
Picked	0	5	5
Done	0	3	3
Total	1293	11	1304

Accuracy

100.0%

Counts

1304 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 1/3 binary64) y))
✓	54.1%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
✓	47.4%	(/.f64 y #s(literal -29/12 binary64))
▶	54.1%	(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	99.8%	(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (*.f64 #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))
✓	54.2%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	54.1%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	54.2%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	47.7%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 85 to 64 computations (24.7% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

92×	`-lowering-.f32`
92×	`-lowering-.f64`
86×	`/-lowering-/.f32`
86×	`/-lowering-/.f64`
34×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	28	43
2	44	43
3	55	43
4	68	43
5	106	43
6	123	43
7	144	43
8	165	43
9	177	43
10	178	43
0	178	43

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize78.0ms (1.2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	99.6%	(/.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 1/3 binary64) y))
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	99.4%	(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 x (.f64 #s(literal 3 binary64) y))

Results

61.0ms

256×

valid

Compiler

Compiled 50 to 15 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 11.0ms (45.6% of total)

...c/correct-round.rkt:119:19: 7.0ms (29% of total)

ival-mult: 4.0ms (16.6% of total)

ival-add: 2.0ms (8.3% of total)

const: 1.0ms (4.1% of total)

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

series6.0ms (0.1%)

Counts

8 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (/ 1 x) y)
0.0ms	x	@	-inf	(/ (/ 1 x) y)
0.0ms	y	@	0	(/ (/ 1 x) y)
0.0ms	y	@	-inf	(/ (/ 1 x) y)
0.0ms	y	@	inf	(/ (/ 1 x) y)

rewrite377.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4828×	`-lowering-.f32`
4828×	`-lowering-.f64`
3290×	`/-lowering-/.f32`
3290×	`/-lowering-/.f64`
1598×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	78	32
2	433	32
3	3449	32
0	9296	32

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 674

Calls

Call 1

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

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

simplify169.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1826×	`fnmadd-define`
1668×	`-lowering-.f32`
1668×	`-lowering-.f64`
1362×	`fma-define`
1324×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	643
1	99	622
2	266	601
3	613	601
4	1760	601
5	3894	601
6	7960	601
0	8378	601

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

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

eval99.0ms (1.5%)

Compiler: Compiled 11319 to 1567 computations (86.2% saved)

prune148.0ms (2.3%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	818	0	818
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	818	11	829

Accuracy

100.0%

Counts

829 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 1/3 binary64) y))
✓	54.1%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
✓	47.4%	(/.f64 y #s(literal -29/12 binary64))
✓	54.1%	(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	99.8%	(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (*.f64 #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))
✓	54.2%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	54.1%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	54.2%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	47.7%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 229 to 125 computations (45.4% saved)

regimes32.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 y x) #s(literal 3 binary64))
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -12/29 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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 3 binary64))) y)
(/.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 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 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -48/841 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.8%	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)

regimes22.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
4.0ms	y
4.0ms	x
4.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
4.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.7%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.7%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes6.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
97.9%	3	`x`
57.6%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Accuracy

Total -0.2b remaining (-0.7%)

Threshold costs -0.2b (-0.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
47.7%	1	`y`
47.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch37.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.3532829152611087e-5	8.195740538832473
14.0ms	-0.42956106875083344	-1.2321904213548747e-8

Results

25.0ms

288×

valid

Compiler

Compiled 268 to 211 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (66.1% of total)

ival-div: 3.0ms (19.8% of total)

ival-sub: 2.0ms (13.2% of total)

const: 1.0ms (6.6% of total)

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

bsearch60.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	2.3532829152611087e-5	8.195740538832473
17.0ms	-0.42956106875083344	-1.2321904213548747e-8

Results

21.0ms

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 (46% of total)

ival-div: 3.0ms (34.5% of total)

ival-sub: 2.0ms (23% of total)

const: 1.0ms (11.5% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	57
1	37	57

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (19.8%)

Rules

4764×	`/-lowering-/.f32`
4764×	`/-lowering-/.f64`
3190×	`-lowering-.f32`
3190×	`-lowering-.f64`
2398×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	17	7
2	32	6
3	64	6
4	106	6
5	112	6
0	112	6
0	131	1567
1	373	1358
2	956	1356
3	2089	1354
4	5629	1354
0	8188	1354
0	7	15
1	26	15
2	160	13
3	1326	13
0	8335	13
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	37	787
1	97	766
2	259	745
3	607	745
4	1745	745
5	3862	745
6	7829	745
0	8247	745

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated

Compiler

Compiled 209 to 135 computations (35.4% saved)

preprocess124.0ms (1.9%)

Remove: (negabs y)
Compiler: Compiled 254 to 142 computations (44.1% saved)

Iter	Nodes	Cost
0	24	104
1	60	104
2	108	104
3	190	104
4	262	104
5	319	104
6	402	104
7	532	104
8	650	104
9	795	104
10	845	104
11	905	104
12	925	104
13	927	104
0	927	104

Iter	Nodes	Cost
0	14	43
1	28	43
2	44	43
3	55	43
4	68	43
5	106	43
6	123	43
7	144	43
8	165	43
9	177	43
10	178	43
0	178	43

Iter	Nodes	Cost
0	24	104
1	60	104
2	108	104
3	190	104
4	262	104
5	319	104
6	402	104
7	532	104
8	650	104
9	795	104
10	845	104
11	905	104
12	925	104
13	927	104
0	927	104

Iter	Nodes	Cost
0	14	43
1	28	43
2	44	43
3	55	43
4	68	43
5	106	43
6	123	43
7	144	43
8	165	43
9	177	43
10	178	43
0	178	43

analyze0.0ms (0%)

sample886.0ms (13.6%)

preprocess109.0ms (1.7%)

explain156.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize49.0ms (0.7%)

series4.0ms (0.1%)

rewrite385.0ms (5.9%)

simplify158.0ms (2.4%)

eval58.0ms (0.9%)

prune108.0ms (1.7%)

simplify45.0ms (0.7%)

localize163.0ms (2.5%)

series22.0ms (0.3%)

rewrite351.0ms (5.4%)

simplify308.0ms (4.7%)

eval122.0ms (1.9%)

prune105.0ms (1.6%)

simplify8.0ms (0.1%)

localize104.0ms (1.6%)

series4.0ms (0.1%)

rewrite325.0ms (5%)

simplify157.0ms (2.4%)

eval247.0ms (3.8%)

prune172.0ms (2.6%)

simplify11.0ms (0.2%)

localize78.0ms (1.2%)

series6.0ms (0.1%)

rewrite377.0ms (5.8%)

simplify169.0ms (2.6%)

eval99.0ms (1.5%)

prune148.0ms (2.3%)

regimes32.0ms (0.5%)

regimes22.0ms (0.3%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes14.0ms (0.2%)

bsearch37.0ms (0.6%)

bsearch60.0ms (0.9%)

simplify9.0ms (0.1%)

soundness1.3s (19.8%)

preprocess124.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	24	104
1	60	104
2	108	104
3	190	104
4	262	104
5	319	104
6	402	104
7	532	104
8	650	104
9	795	104
10	845	104
11	905	104
12	925	104
13	927	104
0	927	104

Iter	Nodes	Cost
0	14	43
1	28	43
2	44	43
3	55	43
4	68	43
5	106	43
6	123	43
7	144	43
8	165	43
9	177	43
10	178	43
0	178	43