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)

sample934.0ms (13.2%)

Results

681.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-mult: 186.0ms (51.4% of total)

ival-div: 109.0ms (30.1% of total)

ival-sub: 45.0ms (12.4% of total)

const: 19.0ms (5.3% of total)

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

Bogosity

preprocess110.0ms (1.6%)

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)

explain111.0ms (1.6%)

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

65.0ms	478×	0	valid
5.0ms	12×	2	valid
5.0ms	22×	1	valid

Compiler

Compiled 75 to 29 computations (61.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 14.0ms (45.1% of total)

ival-mult: 12.0ms (38.7% of total)

ival-sub: 3.0ms (9.7% of total)

const: 1.0ms (3.2% of total)

backward-pass: 1.0ms (3.2% 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)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize47.0ms (0.7%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	99.9%	(*.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

33.0ms	239×	0	valid
2.0ms	11×	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: 20.0ms

ival-mult: 12.0ms (60.5% of total)

...c/correct-round.rkt:119:19: 5.0ms (25.2% of total)

ival-add: 2.0ms (10.1% of total)

backward-pass: 1.0ms (5% of total)

const: 0.0ms (0% of total)

series5.0ms (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
2.0ms	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)

rewrite342.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	26	15
2	160	13
3	1326	13
0	8335	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 427

Calls

Call 1

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

Outputs
(+.f64 (.f64 y (.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) y) x) (.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)) (.f64 (.f64 #s(literal 3 binary64) y) x))
(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -12/29 binary64) y))
(+.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 (*.f64 x #s(literal 3 binary64)) y))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y)))
(+.f64 (.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) y) x (.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64) (.f64 (*.f64 #s(literal 3 binary64) y) x))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal -12/29 binary64) y (.f64 (.f64 x #s(literal 3 binary64)) y))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) (*.f64 #s(literal 3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (.f64 x (*.f64 x x))) #s(literal -192/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))) (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 64/24389 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64))) (.f64 (.f64 #s(literal 3 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) x) (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))) (.f64 (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x))) (*.f64 #s(literal 3 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) x) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) y))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 #s(literal 3 binary64) y)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 #s(literal 3 binary64) y))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (*.f64 #s(literal 3 binary64) y))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (.f64 x (.f64 x x))) #s(literal -192/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) y)) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 #s(literal 3 binary64) y)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (*.f64 #s(literal 3 binary64) y)))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (.f64 x (.f64 x x))) #s(literal -192/24389 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (neg.f64 (.f64 y (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) y))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) y))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal 3 binary64))) (.f64 y (.f64 x #s(literal 3 binary64)))) (-.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (.f64 (.f64 y (.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (-.f64 (.f64 (.f64 y (.f64 x #s(literal 3 binary64))) (.f64 y (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64)))))))
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(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.f64 x x)))) (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) (-.f64 (/.f64 x #s(literal 16/841 binary64)) #s(literal -29/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) (-.f64 (/.f64 x #s(literal 16/841 binary64)) #s(literal -29/4 binary64))) (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))))))))
(.f64 (-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.f64 x x))) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) (-.f64 (/.f64 x #s(literal 16/841 binary64)) #s(literal -29/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -262144/14507145975869 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 4096/594823321 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64)) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (-.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (-.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (.f64 x x)))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))) (+.f64 (.f64 x x) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -262144/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 4096/594823321 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (+.f64 (.f64 x x) #s(literal -16/841 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 16/841 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -262144/14507145975869 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 4096/594823321 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (-.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (.f64 x x)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -262144/14507145975869 binary64)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 4096/594823321 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (-.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64))) (*.f64 x x)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 16/841 binary64))))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 16/841 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 16/841 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 16/841 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)))

simplify210.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2398×	`fmsub-define`
2160×	`fmm-def`
1972×	`fma-lowering-fma.f32`
1972×	`fma-lowering-fma.f64`
1620×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	254
1	122	212
2	324	212
3	750	212
4	2032	212
5	4151	212
6	7175	212
0	8366	212

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval58.0ms (0.8%)

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

prune95.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	467	8	475
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	468	8	476

Accuracy

100.0%

Counts

476 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
▶	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) y))))
▶	99.7%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
▶	99.5%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
	49.4%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	52.6%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 148 to 116 computations (21.6% saved)

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

156×	`-lowering-.f32`
156×	`-lowering-.f64`
126×	`/-lowering-/.f32`
126×	`/-lowering-/.f64`
122×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	95
1	41	95
2	87	95
3	254	95
4	411	95
5	462	95
6	500	95
7	517	95
0	517	95

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize167.0ms (2.4%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) y))))
✓	accuracy	99.5%	(.f64 #s(literal 3 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) y))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) y)))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
✓	accuracy	99.8%	(/.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	99.5%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal -12/29 binary64) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)

Results

119.0ms	239×	0	valid
9.0ms	11×	1	valid
6.0ms	6×	2	valid

Compiler

Compiled 115 to 19 computations (83.5% saved)

Precisions

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

ival-mult: 14.0ms (39.7% of total)

...c/correct-round.rkt:119:19: 9.0ms (25.5% of total)

ival-div: 8.0ms (22.7% of total)

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

const: 1.0ms (2.8% of total)

backward-pass: 1.0ms (2.8% of total)

series13.0ms (0.2%)

Counts

12 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(* (* (+ x -4/29) y) 3)
1.0ms	x	@	0	(* (+ (* x 3) -12/29) y)
1.0ms	y	@	inf	(/ 1 (* 3 (* (+ x -4/29) y)))
1.0ms	y	@	0	(* (+ (* x 3) -12/29) y)
0.0ms	y	@	0	(/ 1 (* 3 (* (+ x -4/29) y)))

rewrite419.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2878×	`-lowering-.f32`
2878×	`-lowering-.f64`
2412×	`/-lowering-/.f32`
2412×	`/-lowering-/.f64`
1868×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	60
1	96	60
2	574	60
3	5274	60
0	8651	60

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1489

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal -12/29 binary64) y))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64))))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64)))
(+.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 3 binary64) (.f64 y #s(literal -4/29 binary64))) (.f64 x (.f64 #s(literal 3 binary64) y)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -12/29 binary64) y)) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 #s(literal 1 binary64) (*.f64 #s(literal -12/29 binary64) y)))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64)) (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64)))
(+.f64 (.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64)) (.f64 x (.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)))
(+.f64 (.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (.f64 (.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y)))
(exp.f64 (log.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))) (/.f64 y (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal -12/29 binary64) y (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 y #s(literal -12/29 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(neg.f64 (/.f64 y (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 y (+.f64 x #s(literal -4/29 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (.f64 y (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) (.f64 y (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 3 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (*.f64 #s(literal 3 binary64) y))))
(/.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y))
(/.f64 (/.f64 y (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 12/29 binary64) (.f64 x #s(literal -3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 #s(literal 12/29 binary64) (.f64 x #s(literal -3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (.f64 y (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64))) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))
(/.f64 (.f64 y (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(/.f64 (.f64 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 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 4/29 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal -1/3 binary64))
(/.f64 (.f64 y (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (.f64 y (+.f64 (.f64 x x) #s(literal -16/841 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.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 (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 #s(literal 3 binary64) y)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 #s(literal 3 binary64) y)) (.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 #s(literal 3 binary64) y)) (+.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 (+.f64 x #s(literal 4/29 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) y)) (.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.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) y)) (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64)) (-.f64 #s(literal 0 binary64) y)) (.f64 (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)) (-.f64 #s(literal 0 binary64) y)) (.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1728/24389 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))))) y) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1728/24389 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))))) y) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1728/24389 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (+.f64 #s(literal 1728/24389 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))))) (-.f64 #s(literal 0 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64)) y) (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64)) y) (.f64 (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64)) (-.f64 #s(literal 0 binary64) y)) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 144/841 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) y) (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 144/841 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) y) (.f64 (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 144/841 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (+.f64 #s(literal 144/841 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) y)) (.f64 (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 3 binary64) (.f64 x (.f64 x x))) #s(literal -192/24389 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 3 binary64) (.f64 x (.f64 x x))) #s(literal -192/24389 binary64)) (-.f64 #s(literal 0 binary64) y)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(/.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)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -48/841 binary64)) (-.f64 #s(literal 0 binary64) y)) (.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 y (+.f64 #s(literal 1728/24389 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (.f64 y (+.f64 #s(literal 1728/24389 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)))))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(/.f64 (.f64 y (+.f64 (neg.f64 (.f64 (.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 (neg.f64 (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (.f64 y (+.f64 #s(literal 144/841 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))) (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))))
(/.f64 (.f64 y (+.f64 #s(literal 144/841 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (.f64 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 (.f64 x x))) #s(literal -192/24389 binary64))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (.f64 y (+.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (.f64 y (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -48/841 binary64))) (.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64))) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1728/24389 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
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(.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 12/29 binary64) (.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (+.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -4/29 binary64)))
(.f64 (neg.f64 (.f64 y (+.f64 #s(literal 4/29 binary64) (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64))
(.f64 (/.f64 y (pow.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64))) (pow.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4/29 binary64) (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 4/29 binary64) (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 3 binary64) y))
(.f64 (/.f64 (.f64 y (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64))) (.f64 (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64))) (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)) (.f64 (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64))) (-.f64 (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(.f64 (/.f64 (.f64 y (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -1728/24389 binary64))) (.f64 (+.f64 #s(literal 144/841 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 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 y (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64))) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))
(.f64 (/.f64 (.f64 y (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64))) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal 1728/24389 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 144/841 binary64) (.f64 x #s(literal -36/29 binary64)))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 #s(literal 3 binary64) y)) (+.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 (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)) (.f64 #s(literal 3 binary64) y)) (.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 (.f64 x x) #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) y)) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.f64 x #s(literal -4/29 binary64)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) y)) (+.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)))))

simplify230.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2760×	`-lowering-.f32`
2760×	`-lowering-.f64`
1588×	`/-lowering-/.f32`
1588×	`/-lowering-/.f64`
1254×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	1520
1	491	1296
2	1211	1290
3	2811	1283
4	7165	1283
0	8269	1283

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval319.0ms (4.5%)

Compiler: Compiled 36299 to 3126 computations (91.4% saved)

prune302.0ms (4.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	2069	5	2074
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	2073	9	2082

Accuracy

100.0%

Counts

2082 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) (/.f64 #s(literal 1 binary64) y))
	99.5%	(/.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 1/3 binary64) y))
▶	49.3%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
▶	52.4%	(/.f64 y #s(literal -29/12 binary64))
✓	99.7%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
▶	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
▶	49.4%	(.f64 (.f64 y x) #s(literal 3 binary64))
▶	49.4%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	52.6%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 124 to 95 computations (23.4% saved)

simplify10.0ms (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

localize95.0ms (1.3%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.4%	(/.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	99.3%	(/.f64 y #s(literal -29/12 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))

Results

75.0ms

256×

valid

Compiler

Compiled 58 to 17 computations (70.7% saved)

Precisions

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

...c/correct-round.rkt:119:19: 14.0ms (44.4% of total)

ival-mult: 10.0ms (31.7% of total)

ival-div: 6.0ms (19% of total)

ival-add: 2.0ms (6.3% of total)

const: 0.0ms (0% of total)

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

series6.0ms (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
1.0ms	x	@	0	(* (* x 3) y)
1.0ms	x	@	inf	(* (* x 3) y)
0.0ms	y	@	0	(* (* x 3) y)
0.0ms	y	@	inf	(* (* x 3) y)
0.0ms	x	@	0	(/ 1/3 x)

rewrite337.0ms (4.8%)

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

simplify149.0ms (2.1%)

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)

eval182.0ms (2.6%)

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

prune126.0ms (1.8%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1290	4	1294
Fresh	0	2	2
Picked	0	5	5
Done	0	2	2
Total	1290	13	1303

Accuracy

100.0%

Counts

1303 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.3%	(/.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
	99.5%	(/.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) (/.f64 #s(literal 1 binary64) y))
▶	99.5%	(/.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 1/3 binary64) y))
✓	49.3%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
✓	52.4%	(/.f64 y #s(literal -29/12 binary64))
▶	49.3%	(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
▶	52.5%	(/.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1/3 binary64) y))
✓	99.7%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
✓	49.4%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	49.4%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	49.4%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	52.6%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 149 to 115 computations (22.8% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x #s(literal 1/3 binary64))
✓	cost-diff	128	(/.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) y)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1/3 binary64) y))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	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))

Rules

72×	`-lowering-.f32`
72×	`-lowering-.f64`
70×	`/-lowering-/.f32`
70×	`/-lowering-/.f64`
36×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	62
1	34	62
2	52	62
3	78	62
4	97	62
5	119	62
6	139	62
7	145	62
8	145	62
0	145	62

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize249.0ms (3.5%)

Localize:

Found 12 expressions of interest:

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

Results

169.0ms	91×	5	exit
51.0ms	165×	0	valid

Compiler

Compiled 70 to 17 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

...c/correct-round.rkt:119:19: 34.0ms (36.9% of total)

ival-div: 31.0ms (33.6% of total)

backward-pass: 19.0ms (20.6% of total)

ival-mult: 5.0ms (5.4% of total)

ival-add: 2.0ms (2.2% of total)

const: 1.0ms (1.1% of total)

series3.0ms (0%)

Counts

10 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite481.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

5834×	`-lowering-.f32`
5834×	`-lowering-.f64`
3646×	`/-lowering-/.f32`
3646×	`/-lowering-/.f64`
2242×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	90	39
2	501	39
3	3990	39
0	10486	39

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1379

Calls

Call 1

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

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

simplify165.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1826×	`fnmadd-define`
1628×	`-lowering-.f32`
1628×	`-lowering-.f64`
1358×	`fma-define`
1324×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	739
1	99	718
2	261	697
3	607	697
4	1745	697
5	3865	697
6	7864	697
0	8282	697

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

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

eval279.0ms (3.9%)

Compiler: Compiled 24368 to 3745 computations (84.6% saved)

prune222.0ms (3.1%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	1636	1	1637
Fresh	1	0	1
Picked	1	4	5
Done	0	7	7
Total	1638	12	1650

Accuracy

100.0%

Counts

1650 → 12

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))
	49.3%	(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
✓	49.3%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
✓	52.4%	(/.f64 y #s(literal -29/12 binary64))
✓	49.3%	(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
✓	52.5%	(/.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1/3 binary64) y))
✓	99.7%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
✓	49.4%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	49.4%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	49.4%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	52.6%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 222 to 115 computations (48.2% saved)

regimes52.0ms (0.7%)

Counts

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

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

Calls

5 calls:

27.0ms	x
7.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
6.0ms	y
6.0ms	(.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
99.7%	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)

regimes8.0ms (0.1%)

Counts

11 → 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 #s(literal -4/29 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.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))

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

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

Outputs
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.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`
57.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 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))

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
97.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.2b remaining (-0.6%)

Threshold costs -0.2b (-0.6%)

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:

4.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
52.6%	1	`y`
52.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.09202542499932496	157.78635160028125
14.0ms	-1358.1886372466022	-0.0013839367880711

Results

19.0ms

272×

valid

Compiler

Compiled 254 to 200 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (57.6% of total)

ival-div: 2.0ms (19.2% of total)

ival-sub: 1.0ms (9.6% of total)

const: 1.0ms (9.6% of total)

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

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.09202542499932496	157.78635160028125
17.0ms	-1358.1886372466022	-0.0013839367880711

Results

20.0ms

272×

valid

Compiler

Compiled 254 to 200 computations (21.3% saved)

Precisions

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

ival-mult: 4.0ms (48.6% of total)

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

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

const: 1.0ms (12.1% of total)

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	55
1	35	55

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (16.3%)

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

Compiler

Compiled 196 to 126 computations (35.7% saved)

preprocess46.0ms (0.6%)

Remove: (negabs y)
Compiler: Compiled 198 to 104 computations (47.5% saved)

analyze0.0ms (0%)

sample934.0ms (13.2%)

preprocess110.0ms (1.6%)

explain111.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize47.0ms (0.7%)

series5.0ms (0.1%)

rewrite342.0ms (4.8%)

simplify210.0ms (3%)

eval58.0ms (0.8%)

prune95.0ms (1.3%)

simplify22.0ms (0.3%)

localize167.0ms (2.4%)

series13.0ms (0.2%)

rewrite419.0ms (5.9%)

simplify230.0ms (3.3%)

eval319.0ms (4.5%)

prune302.0ms (4.3%)

simplify10.0ms (0.1%)

localize95.0ms (1.3%)

series6.0ms (0.1%)

rewrite337.0ms (4.8%)

simplify149.0ms (2.1%)

eval182.0ms (2.6%)

prune126.0ms (1.8%)

simplify11.0ms (0.2%)

localize249.0ms (3.5%)

series3.0ms (0%)

rewrite481.0ms (6.8%)

simplify165.0ms (2.3%)

eval279.0ms (3.9%)

prune222.0ms (3.1%)

regimes52.0ms (0.7%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch31.0ms (0.4%)

bsearch32.0ms (0.5%)

simplify14.0ms (0.2%)

soundness1.2s (16.3%)

preprocess46.0ms (0.6%)

end0.0ms (0%)

Profiling