Details

analyze81.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
50.8%	50%	48.4%	0.1%	1.6%	0%	0%	7
60.8%	59.3%	38.2%	0.1%	2.3%	0%	0%	8
70.8%	67.1%	27.7%	0.1%	5.1%	0%	0%	9
77.3%	72.6%	21.3%	0.1%	6%	0%	0%	10
83.9%	76.9%	14.7%	0.1%	8.3%	0%	0%	11
87.7%	79.8%	11.2%	0.1%	8.9%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample793.0ms (14.6%)

Results

753.0ms	8253×	body	256	valid
29.0ms	343×	body	256	infinite
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Bogosity

preprocess136.0ms (2.5%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 y x) (*.f64 y x))

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(fma.f64 x (-.f64 1 y) y)
(-.f64 (+.f64 y x) (*.f64 y x))
(fma.f64 x (-.f64 1 y) y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify63.0ms (1.1%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(fma.f64 y (-.f64 1 x) x)

eval1.0ms (0%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 y (-.f64 1 x) x)
▶	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 17 to 10 computations (41.2% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series11.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (+.f64 x y) (*.f64 x y))
1.0ms	y	@	-inf	(-.f64 (+.f64 x y) (*.f64 x y))
1.0ms	x	@	0	(-.f64 (+.f64 x y) (*.f64 x y))
1.0ms	x	@	-inf	(-.f64 (+.f64 x y) (*.f64 x y))
1.0ms	y	@	inf	(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 835 to 515 computations (38.3% saved)

rewrite133.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

90× egg-rr

Counts

1 → 90

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))

Outputs
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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x y) 0) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 y (*.f64 x (-.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 y (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 y x (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 x y)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (fma.f64 y x (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x (neg.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (fma.f64 y x (neg.f64 (+.f64 x y))))) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 1 x) x))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))) 2) (cbrt.f64 (fma.f64 y (-.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (+.f64 x y))))) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (+.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (cbrt.f64 (*.f64 (+.f64 x y) (*.f64 x y))))) (-.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 1 x) x)) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2)) (cbrt.f64 (fma.f64 y (-.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (+.f64 x y)))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 y x (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (fma.f64 y x (neg.f64 (+.f64 x y))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 3))))))

simplify465.0ms (8.5%)

Algorithm

1×

egglog

Counts

114 → 118

Calls

Call 1

Inputs
y
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(*.f64 (-.f64 1 y) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
x
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(.f64 y (+.f64 1 (.f64 -1 x)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(fma.f64 y (neg.f64 x) (+.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x y)) (neg.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2))) (+.f64 x y))
(fma.f64 (neg.f64 x) y (+.f64 x y))
(fma.f64 -1 (*.f64 x y) (+.f64 x y))
(fma.f64 y 1 (*.f64 x (-.f64 1 y)))
(fma.f64 1 y (*.f64 x (-.f64 1 y)))
(fma.f64 y (-.f64 1 x) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (.f64 y (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (neg.f64 (*.f64 x y)))
(fma.f64 1 x (*.f64 y (-.f64 1 x)))
(fma.f64 1 (+.f64 x y) (neg.f64 (*.f64 x y)))
(fma.f64 x 1 (*.f64 y (-.f64 1 x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y (-.f64 1 x)))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (+.f64 x y))
(fma.f64 (.f64 (neg.f64 x) (cbrt.f64 y)) (cbrt.f64 (.f64 y y)) (+.f64 x y))
(fma.f64 (neg.f64 y) x (+.f64 x y))
(fma.f64 1 (neg.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 x (neg.f64 y) (+.f64 x y))
(fma.f64 (cbrt.f64 (neg.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (+.f64 x y))
(fma.f64 (+.f64 x y) 1 (neg.f64 (*.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y)) (neg.f64 (*.f64 x y)))
(fma.f64 (cbrt.f64 y) (cbrt.f64 (.f64 y y)) (.f64 x (-.f64 1 y)))
(fma.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y) (.f64 x (-.f64 1 y)))
(fma.f64 (cbrt.f64 (.f64 y (-.f64 1 x))) (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2)) x)
(fma.f64 1 (*.f64 y (-.f64 1 x)) x)
(fma.f64 0 0 (fma.f64 y (-.f64 1 x) x))
(fma.f64 1 0 (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (+.f64 x y) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 y x (+.f64 x y)) (pow.f64 (+.f64 x y) 2))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (.f64 x y) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 y x (+.f64 x y)) (pow.f64 (+.f64 x y) 2))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) (+.f64 x y)))) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (+.f64 x y))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (fma.f64 x x (.f64 (.f64 y (-.f64 1 x)) (-.f64 (.f64 y (-.f64 1 x)) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (-.f64 1 x)) 3)) (fma.f64 x x (.f64 (.f64 y (-.f64 1 x)) (-.f64 (*.f64 y (-.f64 1 x)) x)))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (+.f64 x y) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) (+.f64 x y))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (-.f64 1 x)) 3)) (fma.f64 x x (.f64 (.f64 y (-.f64 1 x)) (-.f64 (.f64 y (-.f64 1 x)) x)))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (+.f64 (-.f64 x y) (.f64 x y)) 0) (/.f64 (fma.f64 x x (neg.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2))) (+.f64 (-.f64 x y) (*.f64 x y))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (-.f64 (neg.f64 (.f64 x y)) (+.f64 x y)) 0) (/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (+.f64 x y) 2)) (-.f64 (neg.f64 (*.f64 x y)) (+.f64 x y))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (-.f64 (.f64 y (-.f64 1 x)) x) 0) (/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (.f64 x x)) (-.f64 (.f64 y (-.f64 1 x)) x)) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (-.f64 y (.f64 x (-.f64 1 y))) 0) (/.f64 (-.f64 (.f64 y y) (.f64 (.f64 x (-.f64 1 y)) (.f64 x (-.f64 1 y)))) (-.f64 y (.f64 x (-.f64 1 y)))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (+.f64 0 (fma.f64 y x (neg.f64 (+.f64 x y)))) 0) (/.f64 (-.f64 0 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2)) (+.f64 0 (fma.f64 y x (neg.f64 (+.f64 x y))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 x (-.f64 1 y)) (.f64 x (-.f64 1 y))) (.f64 y (.f64 x (-.f64 1 y))))) 0) (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 x (-.f64 1 y)) 3)) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 x (-.f64 1 y)) (.f64 x (-.f64 1 y))) (.f64 y (*.f64 x (-.f64 1 y)))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (+.f64 x y) 2) (neg.f64 (.f64 (+.f64 x y) (.f64 x y))))) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (+.f64 x y) 2) (neg.f64 (.f64 (+.f64 x y) (*.f64 x y)))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (+.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (-.f64 (.f64 x x) (.f64 x (.f64 y (-.f64 1 x))))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (-.f64 (.f64 x x) (.f64 x (*.f64 y (-.f64 1 x)))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 y 0) (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 x (-.f64 1 y)) 3)) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 x (-.f64 1 y)) (.f64 x (-.f64 1 y))) (.f64 y (*.f64 x (-.f64 1 y)))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (.f64 x (-.f64 1 y)) 0) (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 x (-.f64 1 y)) 3)) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 x (-.f64 1 y)) (.f64 x (-.f64 1 y))) (.f64 y (.f64 x (-.f64 1 y)))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (+.f64 x y) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (+.f64 x y) 2) (neg.f64 (.f64 (+.f64 x y) (.f64 x y)))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (-.f64 (.f64 x x) (.f64 x (*.f64 y (-.f64 1 x)))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 0 0) (/.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2) (*.f64 0 (fma.f64 y x (neg.f64 (+.f64 x y))))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (fma.f64 y x (neg.f64 (+.f64 x y))) 0) (/.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2) (*.f64 0 (fma.f64 y x (neg.f64 (+.f64 x y))))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2) (.f64 0 (fma.f64 y x (neg.f64 (+.f64 x y)))))) 0) (/.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2) (.f64 0 (fma.f64 y x (neg.f64 (+.f64 x y))))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (fma.f64 (.f64 x y) (fma.f64 y x (+.f64 x y)) (pow.f64 (+.f64 x y) 2)) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 y x (+.f64 x y)) (pow.f64 (+.f64 x y) 2))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (.f64 y (-.f64 1 x)) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (-.f64 1 x)) 3)) (fma.f64 x x (.f64 (.f64 y (-.f64 1 x)) (-.f64 (*.f64 y (-.f64 1 x)) x)))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (neg.f64 (.f64 x y)) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (+.f64 x y))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (neg.f64 (.f64 x y)) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (+.f64 x y) 2) (neg.f64 (.f64 (+.f64 x y) (*.f64 x y)))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (.f64 y (-.f64 1 x)) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (-.f64 (.f64 x x) (.f64 x (.f64 y (-.f64 1 x)))))) (fma.f64 y (-.f64 1 x) x))
(if (!=.f64 (fma.f64 y x (+.f64 x y)) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 y x (+.f64 x y))) (fma.f64 y (-.f64 1 x) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(+.f64 (*.f64 x (-.f64 1 y)) y)
(+.f64 (-.f64 0 (*.f64 x (-.f64 y 1))) y)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 y (.f64 (.f64 x (-.f64 1 y)) 1))
(+.f64 (+.f64 x y) (neg.f64 (*.f64 x y)))
(+.f64 (neg.f64 (*.f64 x y)) (+.f64 x y))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (neg.f64 (.f64 x y)) (.f64 -1 (neg.f64 (+.f64 x y))))
(+.f64 (neg.f64 (.f64 x y)) (.f64 (neg.f64 (+.f64 x y)) -1))
(+.f64 (neg.f64 (*.f64 x y)) (neg.f64 (neg.f64 (+.f64 x y))))
(+.f64 0 (fma.f64 y (-.f64 1 x) x))
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 (+.f64 x y) 0) (*.f64 x y))
(-.f64 y (*.f64 x (-.f64 y 1)))
(-.f64 x (*.f64 y (-.f64 x 1)))
(-.f64 0 (fma.f64 y x (neg.f64 (+.f64 x y))))
(-.f64 (neg.f64 (*.f64 x y)) (neg.f64 (+.f64 x y)))
(*.f64 1 (fma.f64 y (-.f64 1 x) x))
(*.f64 (fma.f64 y (-.f64 1 x) x) 1)
(*.f64 -1 (fma.f64 y x (neg.f64 (+.f64 x y))))
(*.f64 (fma.f64 y x (neg.f64 (+.f64 x y))) -1)
(.f64 (.f64 -1 (cbrt.f64 (fma.f64 y x (neg.f64 (+.f64 x y))))) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 1 x) x))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))) 2) (cbrt.f64 (fma.f64 y (-.f64 1 x) x))))
(*.f64 (neg.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (+.f64 x y))))) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (+.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2)) (cbrt.f64 (.f64 (+.f64 x y) (.f64 x y))))) (-.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (fma.f64 y (-.f64 1 x) x)) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2)) (cbrt.f64 (fma.f64 y (-.f64 1 x) x)))
(*.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (+.f64 x y)))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))))
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 1 x) x)) 3)
(pow.f64 (fma.f64 y (-.f64 1 x) x) 1)
(pow.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 3) 1/3)
(neg.f64 (fma.f64 y x (neg.f64 (+.f64 x y))))
(neg.f64 (-.f64 (fma.f64 y x (neg.f64 (+.f64 x y))) 0))
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 3))

Outputs
y
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(*.f64 (-.f64 1 y) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(fma.f64 x (-.f64 1 y) y)
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(fma.f64 x (-.f64 1 y) y)
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(fma.f64 x (-.f64 1 y) y)
x
(+.f64 (*.f64 y (-.f64 1 x)) x)
(fma.f64 x (-.f64 1 y) y)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(fma.f64 x (-.f64 1 y) y)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(fma.f64 x (-.f64 1 y) y)
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(fma.f64 x (-.f64 1 y) y)
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(fma.f64 x (-.f64 1 y) y)
(+.f64 (+.f64 x y) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1 y) y)
(+.f64 (neg.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 x (-.f64 1 y) y)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(fma.f64 x (-.f64 1 y) y)
(+.f64 (neg.f64 (.f64 x y)) (.f64 -1 (neg.f64 (+.f64 x y))))
(fma.f64 x (-.f64 1 y) y)
(+.f64 (neg.f64 (.f64 x y)) (.f64 (neg.f64 (+.f64 x y)) -1))
(fma.f64 x (-.f64 1 y) y)
(+.f64 (neg.f64 (*.f64 x y)) (neg.f64 (neg.f64 (+.f64 x y))))
(fma.f64 x (-.f64 1 y) y)
(+.f64 0 (fma.f64 y (-.f64 1 x) x))
(fma.f64 x (-.f64 1 y) y)
(-.f64 (+.f64 x y) (*.f64 x y))
(fma.f64 x (-.f64 1 y) y)
(-.f64 (+.f64 (+.f64 x y) 0) (*.f64 x y))
(fma.f64 x (-.f64 1 y) y)
(-.f64 y (*.f64 x (-.f64 y 1)))
(fma.f64 x (-.f64 1 y) y)
(-.f64 x (*.f64 y (-.f64 x 1)))
(fma.f64 x (-.f64 1 y) y)
(-.f64 0 (fma.f64 y x (neg.f64 (+.f64 x y))))
(fma.f64 x (-.f64 1 y) y)
(-.f64 (neg.f64 (*.f64 x y)) (neg.f64 (+.f64 x y)))
(fma.f64 x (-.f64 1 y) y)
(*.f64 1 (fma.f64 y (-.f64 1 x) x))
(fma.f64 x (-.f64 1 y) y)
(*.f64 (fma.f64 y (-.f64 1 x) x) 1)
(fma.f64 x (-.f64 1 y) y)
(*.f64 -1 (fma.f64 y x (neg.f64 (+.f64 x y))))
(fma.f64 x (-.f64 1 y) y)
(*.f64 (fma.f64 y x (neg.f64 (+.f64 x y))) -1)
(fma.f64 x (-.f64 1 y) y)
(.f64 (.f64 -1 (cbrt.f64 (fma.f64 y x (neg.f64 (+.f64 x y))))) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2)))
(fma.f64 x (-.f64 1 y) y)
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 1 x) x))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))))
(fma.f64 x (-.f64 1 y) y)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))) 2) (cbrt.f64 (fma.f64 y (-.f64 1 x) x))))
(fma.f64 x (-.f64 1 y) y)
(*.f64 (neg.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (+.f64 x y))))) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2)))
(fma.f64 x (-.f64 1 y) y)
(.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (+.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2)) (cbrt.f64 (.f64 (+.f64 x y) (.f64 x y))))) (-.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x y))))
(fma.f64 x (-.f64 1 y) y)
(*.f64 (cbrt.f64 (fma.f64 y (-.f64 1 x) x)) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2)))
(fma.f64 x (-.f64 1 y) y)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2)) (cbrt.f64 (fma.f64 y (-.f64 1 x) x)))
(fma.f64 x (-.f64 1 y) y)
(*.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (+.f64 x y)))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 2))))
(fma.f64 x (-.f64 1 y) y)
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 1 x) x)) 3)
(fma.f64 x (-.f64 1 y) y)
(pow.f64 (fma.f64 y (-.f64 1 x) x) 1)
(fma.f64 x (-.f64 1 y) y)
(pow.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 3) 1/3)
(fma.f64 x (-.f64 1 y) y)
(neg.f64 (fma.f64 y x (neg.f64 (+.f64 x y))))
(fma.f64 x (-.f64 1 y) y)
(neg.f64 (-.f64 (fma.f64 y x (neg.f64 (+.f64 x y))) 0))
(fma.f64 x (-.f64 1 y) y)
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 x) x) 3))
(fma.f64 x (-.f64 1 y) y)

localize11.0ms (0.2%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

eval61.0ms (1.1%)

Compiler: Compiled 2671 to 1312 computations (50.9% saved)

prune19.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	115	5	120

Error

Counts

120 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
▶	28.6b	(*.f64 (-.f64 1 y) x)
▶	24.6b	(*.f64 y (-.f64 1 x))
	35.1b	y
	38.9b	x

Compiler

Compiled 29 to 19 computations (34.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 1 x))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 y (-.f64 1 x))
0.0ms	y	@	inf	(*.f64 y (-.f64 1 x))
0.0ms	y	@	-inf	(*.f64 y (-.f64 1 x))
0.0ms	x	@	-inf	(*.f64 y (-.f64 1 x))
0.0ms	x	@	0	(*.f64 y (-.f64 1 x))

Compiler

Compiled 385 to 175 computations (54.5% saved)

rewrite205.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

106× egg-rr

Counts

1 → 106

Calls

Call 1

Inputs
(*.f64 y (-.f64 1 x))

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (+.f64 x -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 y (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2)) 2)) (cbrt.f64 (.f64 y (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 x 3)) (/.f64 y (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) (cbrt.f64 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Outputs

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simplify827.0ms (15.2%)

Algorithm

1×

egglog

Counts

118 → 125

Calls

Call 1

Inputs
y
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(fma.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y) (neg.f64 (.f64 x y)))
(fma.f64 (cbrt.f64 y) (cbrt.f64 (.f64 y y)) (neg.f64 (.f64 x y)))
(fma.f64 1 y (neg.f64 (*.f64 x y)))
(fma.f64 y 1 (neg.f64 (*.f64 x y)))
(if (!=.f64 y 0) (/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 1 (fma.f64 x x x)) y)) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (+.f64 1 (.f64 (fma.f64 x x x) (+.f64 -1 (fma.f64 x x x)))) 0) (.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (pow.f64 (fma.f64 x x x) 3))) (+.f64 1 (.f64 (fma.f64 x x x) (+.f64 -1 (fma.f64 x x x))))) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (-.f64 1 (pow.f64 x 3)) 0) (/.f64 y (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (.f64 y (+.f64 1 x)) 0) (/.f64 (fma.f64 y y (neg.f64 (pow.f64 (neg.f64 (.f64 x y)) 2))) (.f64 y (+.f64 1 x))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (+.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) y))) 0) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) y)))) (.f64 y (-.f64 1 x)))
(if (!=.f64 y 0) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) y)))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (neg.f64 (.f64 x y)) 0) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) y)))) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (+.f64 (.f64 (fma.f64 x x x) (-.f64 1 (fma.f64 x x x))) -1) 0) (.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 x x x) 3)))) (+.f64 (.f64 (fma.f64 x x x) (-.f64 1 (fma.f64 x x x))) -1)) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (-.f64 (neg.f64 (.f64 x y)) y) 0) (/.f64 (-.f64 (pow.f64 (neg.f64 (.f64 x y)) 2) (.f64 y y)) (-.f64 (neg.f64 (.f64 x y)) y)) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (+.f64 0 (.f64 (+.f64 x -1) y)) 0) (/.f64 (-.f64 0 (pow.f64 (.f64 y (-.f64 1 x)) 2)) (+.f64 0 (.f64 (+.f64 x -1) y))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (+.f64 (pow.f64 (neg.f64 (.f64 x y)) 2) (-.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) y))) 0) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 (neg.f64 (.f64 x y)) 2) (-.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) y)))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (neg.f64 (.f64 x y)) 0) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 (neg.f64 (.f64 x y)) 2) (-.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) y)))) (*.f64 y (-.f64 1 x)))
(if (!=.f64 y 0) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 (neg.f64 (.f64 x y)) 2) (-.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) y)))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (.f64 (+.f64 x -1) y) 0) (/.f64 (pow.f64 (.f64 y (-.f64 1 x)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (.f64 0 (.f64 (+.f64 x -1) y))))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (.f64 0 (.f64 (+.f64 x -1) y)))) 0) (/.f64 (pow.f64 (.f64 y (-.f64 1 x)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (.f64 0 (.f64 (+.f64 x -1) y))))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (.f64 y (-.f64 1 x)) 0) (/.f64 1 (pow.f64 (.f64 y (-.f64 1 x)) -1)) (*.f64 y (-.f64 1 x)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 y (-.f64 1 x)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (.f64 0 (.f64 (+.f64 x -1) y))))) (*.f64 y (-.f64 1 x)))
(+.f64 y (neg.f64 (*.f64 x y)))
(+.f64 (neg.f64 (*.f64 x y)) y)
(+.f64 0 (*.f64 y (-.f64 1 x)))
(+.f64 (neg.f64 (.f64 x y)) (.f64 (neg.f64 y) -1))
(+.f64 (.f64 (neg.f64 y) -1) (neg.f64 (.f64 x y)))
(+.f64 (neg.f64 (.f64 x y)) (.f64 -1 (neg.f64 y)))
(+.f64 (.f64 -1 (neg.f64 y)) (neg.f64 (.f64 x y)))
(-.f64 0 (*.f64 (+.f64 x -1) y))
(-.f64 (neg.f64 (*.f64 x y)) (neg.f64 y))
(-.f64 9 (+.f64 9 (*.f64 (+.f64 x -1) y)))
(-.f64 3 (+.f64 3 (*.f64 (+.f64 x -1) y)))
(-.f64 1 (+.f64 1 (*.f64 (+.f64 x -1) y)))
(-.f64 y (*.f64 x y))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (-.f64 1 x) (cbrt.f64 y)))
(.f64 (cbrt.f64 (.f64 y y)) (+.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 y) (neg.f64 x))))
(.f64 (cbrt.f64 (.f64 y y)) (+.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (cbrt.f64 y))))
(.f64 (cbrt.f64 (.f64 y y)) (+.f64 (*.f64 (neg.f64 x) (cbrt.f64 y)) (cbrt.f64 y)))
(.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 x -1) y))) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2)))
(.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x x x)) 2))))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (*.f64 y y)) (-.f64 1 x)))
(.f64 (.f64 (cbrt.f64 (*.f64 y y)) (-.f64 1 x)) (cbrt.f64 y))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (.f64 y (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))))
(.f64 (.f64 (*.f64 (-.f64 1 x) (cbrt.f64 y)) (cbrt.f64 y)) (cbrt.f64 y))
(.f64 (cbrt.f64 (cbrt.f64 y)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (.f64 (cbrt.f64 (.f64 y y)) (-.f64 1 x))))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y)))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y (-.f64 1 x)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 3)) (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) (/.f64 y (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x x x)) 2))))
(.f64 (.f64 (*.f64 (-.f64 1 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 2))
(.f64 (.f64 (-.f64 1 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(.f64 (.f64 (*.f64 y (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) 2))
(.f64 -1 (.f64 (+.f64 x -1) y))
(.f64 1 (.f64 y (-.f64 1 x)))
(.f64 (.f64 y (-.f64 1 x)) 1)
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 x) y)
(.f64 (cbrt.f64 (-.f64 1 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y))
(.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y) (cbrt.f64 (-.f64 1 x)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2)) 2)) (cbrt.f64 (*.f64 y (-.f64 1 x)))))
(*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 y (+.f64 1 (fma.f64 x x x))))
(.f64 (/.f64 y (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) (cbrt.f64 (.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (pow.f64 x 3)))))
(.f64 (cbrt.f64 (.f64 y (-.f64 1 x))) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 y (-.f64 1 x))))
(.f64 (.f64 (cbrt.f64 (.f64 y (-.f64 1 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2)) 2)))
(*.f64 (neg.f64 y) (+.f64 x -1))
(*.f64 (+.f64 x -1) (neg.f64 y))
(.f64 (.f64 y (-.f64 1 (pow.f64 x 3))) (/.f64 -1 (-.f64 -1 (fma.f64 x x x))))
(.f64 (neg.f64 (cbrt.f64 y)) (.f64 (+.f64 x -1) (cbrt.f64 (*.f64 y y))))
(.f64 (neg.f64 (cbrt.f64 (.f64 y y))) (*.f64 (+.f64 x -1) (cbrt.f64 y)))
(.f64 (cbrt.f64 (+.f64 x -1)) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y)))
(.f64 (.f64 y (cbrt.f64 (+.f64 x -1))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))))
(.f64 (.f64 (+.f64 x -1) (cbrt.f64 (*.f64 y y))) (neg.f64 (cbrt.f64 y)))
(.f64 (cbrt.f64 (.f64 (+.f64 x -1) y)) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))))
(.f64 (.f64 (+.f64 x -1) (cbrt.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y))))
(.f64 (.f64 (+.f64 x -1) y) -1)
(.f64 (.f64 y (+.f64 (pow.f64 x 3) -1)) (/.f64 1 (-.f64 -1 (fma.f64 x x x))))
(.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y)) (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 x x x)))))
(.f64 (.f64 y (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (.f64 y (cbrt.f64 (-.f64 1 x))))
(.f64 (neg.f64 (.f64 y (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x x)))))
(/.f64 (*.f64 (+.f64 x -1) y) -1)
(/.f64 (.f64 (.f64 y (-.f64 1 (pow.f64 (pow.f64 x 3) 3))) -1) (*.f64 (+.f64 1 (+.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 x 3))) (-.f64 -1 (fma.f64 x x x))))
(/.f64 (.f64 (.f64 y (-.f64 1 (pow.f64 (pow.f64 x 3) 3))) (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 x x x))))) (*.f64 (+.f64 1 (+.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x x x)) 2))))
(/.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x x x)) 2)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1)) (-.f64 -1 (fma.f64 x x x)))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y)) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y) (cbrt.f64 (+.f64 (pow.f64 x 3) -1))) (cbrt.f64 (-.f64 -1 (fma.f64 x x x))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y)) (cbrt.f64 (-.f64 -1 (fma.f64 x x x))))
(/.f64 (*.f64 y (-.f64 1 x)) 1)
(/.f64 (.f64 (.f64 y (-.f64 1 (pow.f64 (pow.f64 x 3) 3))) (/.f64 -1 (-.f64 -1 (fma.f64 x x x)))) (+.f64 1 (+.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 x 3))))
(/.f64 (.f64 y (-.f64 1 (pow.f64 (pow.f64 x 3) 3))) (.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (+.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 x 3)))))
(/.f64 (.f64 (.f64 y (-.f64 1 (pow.f64 (pow.f64 x 3) 3))) 1) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (+.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 x 3)))))
(/.f64 (neg.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y))) (cbrt.f64 (-.f64 -1 (fma.f64 x x x))))
(/.f64 (neg.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x x x)) 2))))
(/.f64 (cbrt.f64 (.f64 (.f64 y (-.f64 1 (pow.f64 x 3))) (pow.f64 (*.f64 y (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (*.f64 y (-.f64 1 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3) 1/3)
(pow.f64 (*.f64 y (-.f64 1 x)) 1)
(neg.f64 (*.f64 (+.f64 x -1) y))
(neg.f64 (-.f64 (*.f64 (+.f64 x -1) y) 0))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3))

Outputs
y
(+.f64 y (.f64 -1 (.f64 y x)))
(*.f64 y (-.f64 1 x))
(+.f64 y (.f64 -1 (.f64 y x)))
(*.f64 y (-.f64 1 x))
(+.f64 y (.f64 -1 (.f64 y x)))
(*.f64 y (-.f64 1 x))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(*.f64 y (-.f64 1 x))
(+.f64 y (.f64 -1 (.f64 y x)))
(*.f64 y (-.f64 1 x))
(+.f64 y (.f64 -1 (.f64 y x)))
(*.f64 y (-.f64 1 x))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(*.f64 y (-.f64 1 x))
(+.f64 y (.f64 -1 (.f64 y x)))
(*.f64 y (-.f64 1 x))
(+.f64 y (.f64 -1 (.f64 y x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y) (neg.f64 (.f64 x y)))
(*.f64 y (-.f64 1 x))
(fma.f64 (cbrt.f64 y) (cbrt.f64 (.f64 y y)) (neg.f64 (.f64 x y)))
(*.f64 y (-.f64 1 x))
(fma.f64 1 y (neg.f64 (*.f64 x y)))
(*.f64 y (-.f64 1 x))
(fma.f64 y 1 (neg.f64 (*.f64 x y)))
(*.f64 y (-.f64 1 x))
(if (!=.f64 y 0) (/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 1 (fma.f64 x x x)) y)) (*.f64 y (-.f64 1 x)))
(if (!=.f64 y 0) (/.f64 (+.f64 x -1) (/.f64 -1 y)) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (+.f64 1 (.f64 (fma.f64 x x x) (+.f64 -1 (fma.f64 x x x)))) 0) (.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (pow.f64 (fma.f64 x x x) 3))) (+.f64 1 (.f64 (fma.f64 x x x) (+.f64 -1 (fma.f64 x x x))))) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (fma.f64 (fma.f64 x x x) (+.f64 -1 (fma.f64 x x x)) 1) 0) (/.f64 (.f64 (fma.f64 (fma.f64 x x x) (+.f64 -1 (fma.f64 x x x)) 1) (fma.f64 y (pow.f64 x 3) (neg.f64 y))) (-.f64 -1 (pow.f64 (fma.f64 x x x) 3))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (-.f64 1 (pow.f64 x 3)) 0) (/.f64 y (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (.f64 y (+.f64 1 x)) 0) (/.f64 (fma.f64 y y (neg.f64 (pow.f64 (neg.f64 (.f64 x y)) 2))) (.f64 y (+.f64 1 x))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (.f64 y (+.f64 1 x)) 0) (/.f64 (fma.f64 y y (neg.f64 (pow.f64 (.f64 y x) 2))) (.f64 y (+.f64 1 x))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (+.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) y))) 0) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) y)))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (fma.f64 y y (.f64 (.f64 y x) (.f64 y (+.f64 1 x)))) 0) (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 y x) 3)) (fma.f64 y y (.f64 (.f64 y x) (.f64 y (+.f64 1 x))))) (.f64 y (-.f64 1 x)))
(if (!=.f64 y 0) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) y)))) (.f64 y (-.f64 1 x)))
(if (!=.f64 y 0) (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 y x) 3)) (fma.f64 y y (.f64 (.f64 y x) (.f64 y (+.f64 1 x))))) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (neg.f64 (.f64 x y)) 0) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) y)))) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (neg.f64 (.f64 y x)) 0) (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 y x) 3)) (fma.f64 y y (.f64 (.f64 y x) (.f64 y (+.f64 1 x))))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (+.f64 (.f64 (fma.f64 x x x) (-.f64 1 (fma.f64 x x x))) -1) 0) (.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 x x x) 3)))) (+.f64 (.f64 (fma.f64 x x x) (-.f64 1 (fma.f64 x x x))) -1)) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (fma.f64 (fma.f64 x x x) (-.f64 1 (fma.f64 x x x)) -1) 0) (/.f64 (.f64 (fma.f64 (fma.f64 x x x) (-.f64 1 (fma.f64 x x x)) -1) (.f64 y (-.f64 1 (pow.f64 x 3)))) (-.f64 -1 (pow.f64 (fma.f64 x x x) 3))) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (-.f64 (neg.f64 (.f64 x y)) y) 0) (/.f64 (-.f64 (pow.f64 (neg.f64 (.f64 x y)) 2) (.f64 y y)) (-.f64 (neg.f64 (.f64 x y)) y)) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (neg.f64 (.f64 y (+.f64 1 x))) 0) (/.f64 (fma.f64 y y (neg.f64 (pow.f64 (.f64 y x) 2))) (.f64 y (+.f64 1 x))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (+.f64 0 (.f64 (+.f64 x -1) y)) 0) (/.f64 (-.f64 0 (pow.f64 (.f64 y (-.f64 1 x)) 2)) (+.f64 0 (.f64 (+.f64 x -1) y))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (.f64 (+.f64 x -1) y) 0) (/.f64 (/.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (-.f64 1 x)) y) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (+.f64 (pow.f64 (neg.f64 (.f64 x y)) 2) (-.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) y))) 0) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 (neg.f64 (.f64 x y)) 2) (-.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) y)))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (fma.f64 y y (.f64 (.f64 y x) (.f64 y (+.f64 1 x)))) 0) (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 y x) 3)) (fma.f64 y y (.f64 (.f64 y x) (.f64 y (+.f64 1 x))))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (neg.f64 (.f64 x y)) 0) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 (neg.f64 (.f64 x y)) 2) (-.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) y)))) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (neg.f64 (.f64 y x)) 0) (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 y x) 3)) (fma.f64 y y (.f64 (.f64 y x) (.f64 y (+.f64 1 x))))) (.f64 y (-.f64 1 x)))
(if (!=.f64 y 0) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 (neg.f64 (.f64 x y)) 2) (-.f64 (.f64 y y) (.f64 (neg.f64 (.f64 x y)) y)))) (.f64 y (-.f64 1 x)))
(if (!=.f64 y 0) (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 y x) 3)) (fma.f64 y y (.f64 (.f64 y x) (.f64 y (+.f64 1 x))))) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (.f64 (+.f64 x -1) y) 0) (/.f64 (pow.f64 (.f64 y (-.f64 1 x)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (.f64 0 (.f64 (+.f64 x -1) y))))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (.f64 (+.f64 x -1) y) 0) (/.f64 (/.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (-.f64 1 x)) y) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (.f64 0 (.f64 (+.f64 x -1) y)))) 0) (/.f64 (pow.f64 (.f64 y (-.f64 1 x)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (.f64 0 (.f64 (+.f64 x -1) y))))) (.f64 y (-.f64 1 x)))
(if (!=.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) 0) (/.f64 (/.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (-.f64 1 x)) y) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (.f64 y (-.f64 1 x)) 0) (/.f64 1 (pow.f64 (.f64 y (-.f64 1 x)) -1)) (*.f64 y (-.f64 1 x)))
(if (!=.f64 (.f64 y (-.f64 1 x)) 0) (pow.f64 (/.f64 1 (.f64 y (-.f64 1 x))) -1) (*.f64 y (-.f64 1 x)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 y (-.f64 1 x)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (.f64 0 (.f64 (+.f64 x -1) y))))) (*.f64 y (-.f64 1 x)))
(if (!=.f64 0 0) (/.f64 (/.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (-.f64 1 x)) y) (.f64 y (-.f64 1 x)))
(+.f64 y (neg.f64 (*.f64 x y)))
(*.f64 y (-.f64 1 x))
(+.f64 (neg.f64 (*.f64 x y)) y)
(*.f64 y (-.f64 1 x))
(+.f64 0 (*.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (neg.f64 (.f64 x y)) (.f64 (neg.f64 y) -1))
(*.f64 y (-.f64 1 x))
(+.f64 (.f64 (neg.f64 y) -1) (neg.f64 (.f64 x y)))
(*.f64 y (-.f64 1 x))
(+.f64 (neg.f64 (.f64 x y)) (.f64 -1 (neg.f64 y)))
(*.f64 y (-.f64 1 x))
(+.f64 (.f64 -1 (neg.f64 y)) (neg.f64 (.f64 x y)))
(*.f64 y (-.f64 1 x))
(-.f64 0 (*.f64 (+.f64 x -1) y))
(*.f64 y (-.f64 1 x))
(-.f64 (neg.f64 (*.f64 x y)) (neg.f64 y))
(*.f64 y (-.f64 1 x))
(-.f64 9 (+.f64 9 (*.f64 (+.f64 x -1) y)))
(*.f64 y (-.f64 1 x))
(-.f64 3 (+.f64 3 (*.f64 (+.f64 x -1) y)))
(*.f64 y (-.f64 1 x))
(-.f64 1 (+.f64 1 (*.f64 (+.f64 x -1) y)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 x y))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (-.f64 1 x) (cbrt.f64 y)))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (.f64 y y)) (+.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 y) (neg.f64 x))))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (.f64 y y)) (+.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (cbrt.f64 y))))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (.f64 y y)) (+.f64 (*.f64 (neg.f64 x) (cbrt.f64 y)) (cbrt.f64 y)))
(*.f64 y (-.f64 1 x))
(.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 x -1) y))) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2)))
(*.f64 y (-.f64 1 x))
(.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x x x)) 2))))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (*.f64 y y)) (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 (cbrt.f64 (*.f64 y y)) (-.f64 1 x)) (cbrt.f64 y))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (.f64 y (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 (*.f64 (-.f64 1 x) (cbrt.f64 y)) (cbrt.f64 y)) (cbrt.f64 y))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (cbrt.f64 y)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (.f64 (cbrt.f64 (.f64 y y)) (-.f64 1 x))))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y)))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y (-.f64 1 x)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))))
(*.f64 y (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 3)) (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) (/.f64 y (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x x x)) 2))))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 (*.f64 (-.f64 1 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 2))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 (-.f64 1 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 (*.f64 y (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) 2))
(*.f64 y (-.f64 1 x))
(.f64 -1 (.f64 (+.f64 x -1) y))
(*.f64 y (-.f64 1 x))
(.f64 1 (.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 y (-.f64 1 x)) 1)
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 x) y)
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (-.f64 1 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y) (cbrt.f64 (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2)) 2)) (cbrt.f64 (*.f64 y (-.f64 1 x)))))
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 y (+.f64 1 (fma.f64 x x x))))
(*.f64 y (-.f64 1 x))
(.f64 (/.f64 y (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) (cbrt.f64 (.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (pow.f64 x 3)))))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (.f64 y (-.f64 1 x))) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2)))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 y (-.f64 1 x))))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 (cbrt.f64 (.f64 y (-.f64 1 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2)) 2)))
(*.f64 y (-.f64 1 x))
(*.f64 (neg.f64 y) (+.f64 x -1))
(*.f64 y (-.f64 1 x))
(*.f64 (+.f64 x -1) (neg.f64 y))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 y (-.f64 1 (pow.f64 x 3))) (/.f64 -1 (-.f64 -1 (fma.f64 x x x))))
(*.f64 y (-.f64 1 x))
(.f64 (neg.f64 (cbrt.f64 y)) (.f64 (+.f64 x -1) (cbrt.f64 (*.f64 y y))))
(*.f64 y (-.f64 1 x))
(.f64 (neg.f64 (cbrt.f64 (.f64 y y))) (*.f64 (+.f64 x -1) (cbrt.f64 y)))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (+.f64 x -1)) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y)))
(.f64 y (.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 y (cbrt.f64 (+.f64 x -1))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))))
(.f64 y (.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (+.f64 x -1) (cbrt.f64 (*.f64 y y))) (neg.f64 (cbrt.f64 y)))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (.f64 (+.f64 x -1) y)) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 (+.f64 x -1) (cbrt.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y))))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 (+.f64 x -1) y) -1)
(*.f64 y (-.f64 1 x))
(.f64 (.f64 y (+.f64 (pow.f64 x 3) -1)) (/.f64 1 (-.f64 -1 (fma.f64 x x x))))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y)) (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 x x x)))))
(*.f64 y (-.f64 1 x))
(.f64 (.f64 y (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))
(*.f64 y (-.f64 1 x))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (.f64 y (cbrt.f64 (-.f64 1 x))))
(*.f64 y (-.f64 1 x))
(.f64 (neg.f64 (.f64 y (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))
(.f64 y (.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x x)))))
(/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (pow.f64 x 3)))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x x)))))
(/.f64 (*.f64 (+.f64 x -1) y) -1)
(*.f64 y (-.f64 1 x))
(/.f64 (.f64 (.f64 y (-.f64 1 (pow.f64 (pow.f64 x 3) 3))) -1) (*.f64 (+.f64 1 (+.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 x 3))) (-.f64 -1 (fma.f64 x x x))))
(*.f64 y (-.f64 1 x))
(/.f64 (.f64 (.f64 y (-.f64 1 (pow.f64 (pow.f64 x 3) 3))) (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 x x x))))) (*.f64 (+.f64 1 (+.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x x x)) 2))))
(*.f64 y (-.f64 1 x))
(/.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x x x)) 2)))
(*.f64 y (-.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 y (-.f64 1 x))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1)) (-.f64 -1 (fma.f64 x x x)))
(*.f64 y (-.f64 1 x))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y)) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 y (-.f64 1 x))
(/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y) (cbrt.f64 (+.f64 (pow.f64 x 3) -1))) (cbrt.f64 (-.f64 -1 (fma.f64 x x x))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y) (cbrt.f64 (-.f64 -1 (fma.f64 x x x)))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 y (-.f64 1 x))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y)) (cbrt.f64 (-.f64 -1 (fma.f64 x x x))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y) (cbrt.f64 (-.f64 -1 (fma.f64 x x x)))))
(/.f64 (*.f64 y (-.f64 1 x)) 1)
(*.f64 y (-.f64 1 x))
(/.f64 (.f64 (.f64 y (-.f64 1 (pow.f64 (pow.f64 x 3) 3))) (/.f64 -1 (-.f64 -1 (fma.f64 x x x)))) (+.f64 1 (+.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 x 3))))
(*.f64 y (-.f64 1 x))
(/.f64 (.f64 y (-.f64 1 (pow.f64 (pow.f64 x 3) 3))) (.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (+.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 x 3)))))
(*.f64 y (-.f64 1 x))
(/.f64 (.f64 (.f64 y (-.f64 1 (pow.f64 (pow.f64 x 3) 3))) 1) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (+.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 x 3)))))
(*.f64 y (-.f64 1 x))
(/.f64 (neg.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) y))) (cbrt.f64 (-.f64 -1 (fma.f64 x x x))))
(*.f64 y (-.f64 1 x))
(/.f64 (neg.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x x x)) 2))))
(*.f64 y (-.f64 1 x))
(/.f64 (cbrt.f64 (.f64 (.f64 y (-.f64 1 (pow.f64 x 3))) (pow.f64 (*.f64 y (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 y (-.f64 1 x))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 y (-.f64 1 x)) 2) (*.f64 y (-.f64 1 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 y (-.f64 1 x))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 x))) 3)
(*.f64 y (-.f64 1 x))
(pow.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3) 1/3)
(*.f64 y (-.f64 1 x))
(pow.f64 (*.f64 y (-.f64 1 x)) 1)
(*.f64 y (-.f64 1 x))
(neg.f64 (*.f64 (+.f64 x -1) y))
(*.f64 y (-.f64 1 x))
(neg.f64 (-.f64 (*.f64 (+.f64 x -1) y) 0))
(*.f64 y (-.f64 1 x))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3))
(*.f64 y (-.f64 1 x))

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 y) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series9.0ms (0.2%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 (-.f64 1 y) x)
1.0ms	y	@	-inf	(*.f64 (-.f64 1 y) x)
1.0ms	x	@	-inf	(*.f64 (-.f64 1 y) x)
1.0ms	x	@	0	(*.f64 (-.f64 1 y) x)
1.0ms	x	@	inf	(*.f64 (-.f64 1 y) x)

Compiler

Compiled 385 to 175 computations (54.5% saved)

rewrite166.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

128× egg-rr

Counts

1 → 128

Calls

Call 1

Inputs
(*.f64 (-.f64 1 y) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (neg.f64 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (neg.f64 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (neg.f64 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 (sqrt.f64 3) (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1/2 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 6 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 (cbrt.f64 3) (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 27 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3/2 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 9 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1/3 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 (cbrt.f64 9) (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 0 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 0 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 0 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/2 0 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 0 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 4 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 2 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 0 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 0 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 0 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (.f64 y x)) 0) (/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 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Outputs

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simplify1.1s (19.9%)

Algorithm

1×

egglog

Counts

140 → 148

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (neg.f64 (.f64 y x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (neg.f64 (.f64 y x)))
(fma.f64 x 1 (neg.f64 (*.f64 y x)))
(fma.f64 1 x (neg.f64 (*.f64 y x)))
(fma.f64 0 0 (*.f64 (-.f64 1 y) x))
(fma.f64 0 (sqrt.f64 3) (*.f64 (-.f64 1 y) x))
(fma.f64 0 1/2 (*.f64 (-.f64 1 y) x))
(fma.f64 0 6 (*.f64 (-.f64 1 y) x))
(fma.f64 0 (cbrt.f64 3) (*.f64 (-.f64 1 y) x))
(fma.f64 0 27 (*.f64 (-.f64 1 y) x))
(fma.f64 0 3/2 (*.f64 (-.f64 1 y) x))
(fma.f64 0 9 (*.f64 (-.f64 1 y) x))
(fma.f64 0 1/3 (*.f64 (-.f64 1 y) x))
(fma.f64 0 1 (*.f64 (-.f64 1 y) x))
(fma.f64 0 (cbrt.f64 9) (*.f64 (-.f64 1 y) x))
(fma.f64 9 0 (*.f64 (-.f64 1 y) x))
(fma.f64 1/2 0 (*.f64 (-.f64 1 y) x))
(fma.f64 6 0 (*.f64 (-.f64 1 y) x))
(fma.f64 3/2 0 (*.f64 (-.f64 1 y) x))
(fma.f64 1/3 0 (*.f64 (-.f64 1 y) x))
(fma.f64 1 0 (*.f64 (-.f64 1 y) x))
(fma.f64 0 3 (*.f64 (-.f64 1 y) x))
(fma.f64 0 4 (*.f64 (-.f64 1 y) x))
(fma.f64 0 2 (*.f64 (-.f64 1 y) x))
(fma.f64 3 0 (*.f64 (-.f64 1 y) x))
(fma.f64 4 0 (*.f64 (-.f64 1 y) x))
(fma.f64 2 0 (*.f64 (-.f64 1 y) x))
(if (!=.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (.f64 (-.f64 1 y) x))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (*.f64 (-.f64 1 y) x))
(if (!=.f64 (neg.f64 (.f64 y x)) 0) (/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (.f64 (-.f64 1 y) x))
(if (!=.f64 x 0) (/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (fma.f64 y y y)) x)) (*.f64 (-.f64 1 y) x))
(if (!=.f64 (-.f64 1 (pow.f64 y 3)) 0) (/.f64 x (/.f64 (-.f64 -1 (fma.f64 y y y)) (+.f64 (pow.f64 y 3) -1))) (*.f64 (-.f64 1 y) x))
(if (!=.f64 (.f64 x (+.f64 1 y)) 0) (/.f64 (fma.f64 x x (neg.f64 (pow.f64 (neg.f64 (.f64 y x)) 2))) (.f64 x (+.f64 1 y))) (.f64 (-.f64 1 y) x))
(if (!=.f64 (+.f64 1 (.f64 (fma.f64 y y y) (+.f64 -1 (fma.f64 y y y)))) 0) (/.f64 (.f64 (.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (.f64 (fma.f64 y y y) (+.f64 -1 (fma.f64 y y y))))) (+.f64 1 (pow.f64 (fma.f64 y y y) 3))) (*.f64 (-.f64 1 y) x))
(if (!=.f64 (+.f64 (.f64 (fma.f64 y y y) (-.f64 1 (fma.f64 y y y))) -1) 0) (.f64 (/.f64 (.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 y y y) 3)))) (+.f64 (.f64 (fma.f64 y y y) (-.f64 1 (fma.f64 y y y))) -1)) (*.f64 (-.f64 1 y) x))
(if (!=.f64 (-.f64 (neg.f64 (.f64 y x)) x) 0) (/.f64 (-.f64 (pow.f64 (neg.f64 (.f64 y x)) 2) (.f64 x x)) (-.f64 (neg.f64 (.f64 y x)) x)) (*.f64 (-.f64 1 y) x))
(if (!=.f64 (+.f64 0 (.f64 (+.f64 y -1) x)) 0) (/.f64 (-.f64 0 (pow.f64 (.f64 (-.f64 1 y) x) 2)) (+.f64 0 (.f64 (+.f64 y -1) x))) (.f64 (-.f64 1 y) x))
(if (!=.f64 (+.f64 (pow.f64 (neg.f64 (.f64 y x)) 2) (-.f64 (.f64 x x) (.f64 (neg.f64 (.f64 y x)) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 (neg.f64 (.f64 y x)) 2) (-.f64 (.f64 x x) (.f64 (neg.f64 (.f64 y x)) x)))) (.f64 (-.f64 1 y) x))
(if (!=.f64 (neg.f64 (.f64 y x)) 0) (/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 (neg.f64 (.f64 y x)) 2) (-.f64 (.f64 x x) (.f64 (neg.f64 (.f64 y x)) x)))) (*.f64 (-.f64 1 y) x))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 (neg.f64 (.f64 y x)) 2) (-.f64 (.f64 x x) (.f64 (neg.f64 (.f64 y x)) x)))) (.f64 (-.f64 1 y) x))
(if (!=.f64 (.f64 (+.f64 y -1) x) 0) (/.f64 (pow.f64 (.f64 (-.f64 1 y) x) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (-.f64 1 y) x) 2) (.f64 0 (.f64 (+.f64 y -1) x))))) (.f64 (-.f64 1 y) x))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (.f64 (-.f64 1 y) x) 2) (.f64 0 (.f64 (+.f64 y -1) x)))) 0) (/.f64 (pow.f64 (.f64 (-.f64 1 y) x) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (-.f64 1 y) x) 2) (.f64 0 (.f64 (+.f64 y -1) x))))) (.f64 (-.f64 1 y) x))
(if (!=.f64 (.f64 (-.f64 1 y) x) 0) (/.f64 1 (pow.f64 (.f64 (-.f64 1 y) x) -1)) (*.f64 (-.f64 1 y) x))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (-.f64 1 y) x) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (-.f64 1 y) x) 2) (.f64 0 (.f64 (+.f64 y -1) x))))) (*.f64 (-.f64 1 y) x))
(+.f64 x (neg.f64 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) x)
(+.f64 0 (*.f64 (-.f64 1 y) x))
(-.f64 0 (*.f64 (+.f64 y -1) x))
(-.f64 (neg.f64 (*.f64 y x)) (neg.f64 x))
(-.f64 9 (+.f64 9 (*.f64 (+.f64 y -1) x)))
(-.f64 1 (+.f64 1 (*.f64 (+.f64 y -1) x)))
(-.f64 3 (+.f64 3 (*.f64 (+.f64 y -1) x)))
(-.f64 x (*.f64 x y))
(-.f64 x (*.f64 y x))
(.f64 (.f64 (cbrt.f64 (*.f64 x x)) (-.f64 1 y)) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (-.f64 1 y) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 y)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (*.f64 (neg.f64 y) (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 y -1) x))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 2)))
(.f64 (cbrt.f64 (.f64 (+.f64 y -1) x)) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 y) x) 2)) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1 y) x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) x)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 y) x) 2))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 y) x) 2)) 2)) (cbrt.f64 (*.f64 (-.f64 1 y) x))))
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (.f64 x x)) (-.f64 1 y))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1 y) x))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 y) x) 2))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 2))))
(.f64 (cbrt.f64 (.f64 (-.f64 1 y) x)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 y) x) 2)) (cbrt.f64 (*.f64 (-.f64 1 y) x)))
(.f64 (.f64 (.f64 (-.f64 1 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x x)) 2)))
(.f64 (.f64 (-.f64 1 y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1 y) x)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 y) x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 2)) 2)))
(.f64 -1 (.f64 (+.f64 y -1) x))
(.f64 1 (.f64 (-.f64 1 y) x))
(.f64 (.f64 (-.f64 1 y) x) 1)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (-.f64 1 y)))
(.f64 (cbrt.f64 (-.f64 1 y)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) x) (cbrt.f64 (-.f64 1 y)))
(.f64 (.f64 (*.f64 x (cbrt.f64 (-.f64 1 y))) (cbrt.f64 (-.f64 1 y))) (cbrt.f64 (-.f64 1 y)))
(.f64 (cbrt.f64 (-.f64 1 y)) (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 y 3)) (cbrt.f64 (+.f64 1 (fma.f64 y y y)))) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 -1 (fma.f64 y y y)) 2))))
(*.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 x (+.f64 1 (fma.f64 y y y))))
(.f64 (/.f64 x (cbrt.f64 (+.f64 1 (fma.f64 y y y)))) (cbrt.f64 (.f64 (pow.f64 (-.f64 1 y) 2) (-.f64 1 (pow.f64 y 3)))))
(.f64 (.f64 x (cbrt.f64 (-.f64 1 y))) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (.f64 x (cbrt.f64 (-.f64 1 y))))
(*.f64 (neg.f64 x) (+.f64 y -1))
(*.f64 (+.f64 y -1) (neg.f64 x))
(.f64 (.f64 x (-.f64 1 (pow.f64 y 3))) (/.f64 -1 (-.f64 -1 (fma.f64 y y y))))
(.f64 (.f64 (*.f64 x (cbrt.f64 (-.f64 1 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2))) 2))
(.f64 2 (.f64 1/2 (*.f64 (-.f64 1 y) x)))
(.f64 1/2 (.f64 2 (*.f64 (-.f64 1 y) x)))
(.f64 3 (.f64 1/3 (*.f64 (-.f64 1 y) x)))
(.f64 1/3 (.f64 3 (*.f64 (-.f64 1 y) x)))
(.f64 (neg.f64 (cbrt.f64 (.f64 x x))) (*.f64 (cbrt.f64 x) (+.f64 y -1)))
(.f64 (neg.f64 (.f64 x (cbrt.f64 (+.f64 y -1)))) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 (neg.f64 (cbrt.f64 x)) (.f64 (+.f64 y -1) (cbrt.f64 (*.f64 x x))))
(.f64 (.f64 (+.f64 y -1) (cbrt.f64 (*.f64 x x))) (neg.f64 (cbrt.f64 x)))
(.f64 (.f64 x (cbrt.f64 (+.f64 y -1))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 (cbrt.f64 (+.f64 y -1)) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) x)))
(.f64 (.f64 (+.f64 y -1) x) -1)
(.f64 (.f64 (+.f64 y -1) (cbrt.f64 x)) (neg.f64 (cbrt.f64 (*.f64 x x))))
(.f64 (/.f64 (.f64 x (-.f64 1 (pow.f64 y 3))) (cbrt.f64 (+.f64 1 (fma.f64 y y y)))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 -1 (fma.f64 y y y)) 2))))
(.f64 (.f64 x (+.f64 (pow.f64 y 3) -1)) (/.f64 1 (-.f64 -1 (fma.f64 y y y))))
(.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 y 3))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) x)) (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 y y y)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (cbrt.f64 (+.f64 1 (fma.f64 y y y)))) (cbrt.f64 (pow.f64 (-.f64 -1 (fma.f64 y y y)) 2)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (-.f64 -1 (fma.f64 y y y)))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 y 3))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) x)) (cbrt.f64 (+.f64 1 (fma.f64 y y y))))
(/.f64 (.f64 (.f64 x (cbrt.f64 (-.f64 1 y))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 y 3) -1) 2))) (cbrt.f64 (pow.f64 (-.f64 -1 (fma.f64 y y y)) 2)))
(/.f64 (.f64 (.f64 x (cbrt.f64 (-.f64 1 y))) (cbrt.f64 (*.f64 (-.f64 1 y) (-.f64 1 (pow.f64 y 3))))) (cbrt.f64 (+.f64 1 (fma.f64 y y y))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 y) x) 2)) (cbrt.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))))) (cbrt.f64 (+.f64 1 (fma.f64 y y y))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 y 3)) (cbrt.f64 (+.f64 1 (fma.f64 y y y)))) x) (cbrt.f64 (pow.f64 (-.f64 -1 (fma.f64 y y y)) 2)))
(/.f64 (*.f64 (-.f64 1 y) x) 1)
(/.f64 (.f64 2 (.f64 (-.f64 1 y) x)) 2)
(/.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) 1) (-.f64 -1 (fma.f64 y y y)))
(/.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (cbrt.f64 (+.f64 1 (fma.f64 y y y)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (fma.f64 y y y)) 2))))
(/.f64 (.f64 x (-.f64 1 (pow.f64 (pow.f64 y 3) 3))) (.f64 (+.f64 1 (fma.f64 y y y)) (+.f64 1 (+.f64 (pow.f64 (pow.f64 y 3) 2) (pow.f64 y 3)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 y 3) 3)) x) (.f64 (+.f64 1 (fma.f64 y y y)) (+.f64 1 (+.f64 (pow.f64 (pow.f64 y 3) 2) (pow.f64 y 3)))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (cbrt.f64 (+.f64 1 (fma.f64 y y y))))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (fma.f64 y y y)) 2))))
(/.f64 (neg.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 y 3))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) x))) (cbrt.f64 (-.f64 -1 (fma.f64 y y y))))
(/.f64 (cbrt.f64 (.f64 (.f64 x (-.f64 1 (pow.f64 y 3))) (pow.f64 (*.f64 (-.f64 1 y) x) 2))) (cbrt.f64 (+.f64 1 (fma.f64 y y y))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) x)) 3)
(pow.f64 (*.f64 (-.f64 1 y) x) 1)
(neg.f64 (*.f64 (+.f64 y -1) x))
(neg.f64 (.f64 (cbrt.f64 (.f64 x x)) (*.f64 (+.f64 y -1) (cbrt.f64 x))))
(neg.f64 (-.f64 (*.f64 (+.f64 y -1) x) 0))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3))

Outputs
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (neg.f64 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (neg.f64 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 x 1 (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 1 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 0 0 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 0 (sqrt.f64 3) (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 0 1/2 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 0 6 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 0 (cbrt.f64 3) (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 0 27 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 0 3/2 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 0 9 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 0 1/3 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 0 1 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 0 (cbrt.f64 9) (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 9 0 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 1/2 0 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 6 0 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 3/2 0 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 1/3 0 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 1 0 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 0 3 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 0 4 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 0 2 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 3 0 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 4 0 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(fma.f64 2 0 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(if (!=.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (.f64 x y) 3))) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (.f64 (-.f64 1 y) x))
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(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) x)) 3)
(*.f64 x (-.f64 1 y))
(pow.f64 (*.f64 (-.f64 1 y) x) 1)
(*.f64 x (-.f64 1 y))
(neg.f64 (*.f64 (+.f64 y -1) x))
(*.f64 x (-.f64 1 y))
(neg.f64 (.f64 (cbrt.f64 (.f64 x x)) (*.f64 (+.f64 y -1) (cbrt.f64 x))))
(*.f64 x (-.f64 1 y))
(neg.f64 (-.f64 (*.f64 (+.f64 y -1) x) 0))
(*.f64 x (-.f64 1 y))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3))
(*.f64 x (-.f64 1 y))

eval124.0ms (2.3%)

Compiler: Compiled 4987 to 3027 computations (39.3% saved)

prune39.0ms (0.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	271	2	273
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	271	7	278

Error

Counts

278 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
▶	28.6b	(-.f64 x (*.f64 y x))
✓	28.6b	(*.f64 (-.f64 1 y) x)
✓	24.6b	(*.f64 y (-.f64 1 x))
▶	52.3b	(neg.f64 (*.f64 y x))
	35.1b	y
	38.9b	x

Compiler

Compiled 42 to 27 computations (35.7% saved)

localize4.0ms (0.1%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 y x))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 x (*.f64 y x))
0.0ms	x	@	0	(-.f64 x (*.f64 y x))
0.0ms	x	@	-inf	(-.f64 x (*.f64 y x))
0.0ms	y	@	inf	(-.f64 x (*.f64 y x))
0.0ms	y	@	-inf	(-.f64 x (*.f64 y x))

Compiler

Compiled 725 to 395 computations (45.5% saved)

rewrite106.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

72× egg-rr

Counts

1 → 72

Calls

Call 1

Inputs
(-.f64 x (*.f64 y x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 y) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y x)) (neg.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (neg.f64 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (neg.f64 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (neg.f64 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (.f64 y x))) (cbrt.f64 (pow.f64 (.f64 y x) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 y x) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 (.f64 y x)) x) 0) (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (-.f64 (neg.f64 (.f64 y x)) x)) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (.f64 x (+.f64 y -1))) 0) (/.f64 (-.f64 0 (pow.f64 (.f64 x (-.f64 1 y)) 2)) (+.f64 0 (.f64 x (+.f64 y -1)))) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 y x))))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 y x)))))) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 y x)))))) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 x (-.f64 1 y)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 0 (.f64 x (+.f64 y -1)))))) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 x (+.f64 y -1)) 0) (/.f64 (pow.f64 (.f64 x (-.f64 1 y)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 0 (.f64 x (+.f64 y -1)))))) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 0 (.f64 x (+.f64 y -1))))) 0) (/.f64 (pow.f64 (.f64 x (-.f64 1 y)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 0 (.f64 x (+.f64 y -1)))))) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (.f64 y x)) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (.f64 y x)) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 y x)))))) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 y x x) 0) (/.f64 (fma.f64 x x (neg.f64 (pow.f64 (.f64 y x) 2))) (fma.f64 y x x)) (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 y x)) (.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 y x)) (.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 y x)) (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 0) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 y) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x x)) (-.f64 (cbrt.f64 x) (.f64 y (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (.f64 x (+.f64 y -1)))) (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (cbrt.f64 (.f64 x (.f64 y x))))) (-.f64 (cbrt.f64 x) (cbrt.f64 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (-.f64 1 y))) (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2)) (cbrt.f64 (.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (+.f64 y -1))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 x (-.f64 1 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 y -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 x (+.f64 y -1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y x)) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (neg.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (neg.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (neg.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x)))) (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 y x) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x)))) (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x (*.f64 (neg.f64 (*.f64 y x)) (-.f64 (neg.f64 (*.f64 y x)) x))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 y x)) (-.f64 (neg.f64 (*.f64 y x)) x)))) (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule 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x x (*.f64 (*.f64 y x) (fma.f64 y x x)))) (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (*.f64 y x)) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 y x)) (-.f64 (neg.f64 (*.f64 y x)) x)))) (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (*.f64 y x)) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 y x)))))) (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 y x x) 0) (/.f64 (fma.f64 x x (neg.f64 (pow.f64 (*.f64 y x) 2))) (fma.f64 y x x)) (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 y x)) (*.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 y x)) (*.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 y x)) (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 0) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1 y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1 y)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (-.f64 1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))) 2) (cbrt.f64 (*.f64 x (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (cbrt.f64 x) (*.f64 (neg.f64 y) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (*.f64 (neg.f64 y) (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (-.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 x (+.f64 y -1)))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (cbrt.f64 (*.f64 x (*.f64 y x))))) (-.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (-.f64 1 y))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2)) (cbrt.f64 (*.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (-.f64 1 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 y -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 x (+.f64 y -1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3))))))

simplify252.0ms (4.6%)

Algorithm

1×

egglog

Counts

96 → 83

Calls

Call 1

Inputs
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(fma.f64 (.f64 (neg.f64 y) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) x)
(fma.f64 (cbrt.f64 (.f64 y x)) (neg.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2))) x)
(fma.f64 (neg.f64 x) y x)
(fma.f64 y (neg.f64 x) x)
(fma.f64 -1 (*.f64 y x) x)
(fma.f64 0 0 (*.f64 x (-.f64 1 y)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (neg.f64 (.f64 y x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (neg.f64 (.f64 y x)))
(fma.f64 (neg.f64 y) x x)
(fma.f64 x (neg.f64 y) x)
(fma.f64 1 x (neg.f64 (*.f64 y x)))
(fma.f64 x 1 (neg.f64 (*.f64 y x)))
(fma.f64 1 (neg.f64 (*.f64 y x)) x)
(fma.f64 1 0 (*.f64 x (-.f64 1 y)))
(fma.f64 (cbrt.f64 (neg.f64 (.f64 y x))) (cbrt.f64 (pow.f64 (.f64 y x) 2)) x)
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (.f64 y x) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (*.f64 x (-.f64 1 y)))
(if (!=.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (*.f64 x (-.f64 1 y)))
(if (!=.f64 (-.f64 (neg.f64 (.f64 y x)) x) 0) (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (-.f64 (neg.f64 (.f64 y x)) x)) (*.f64 x (-.f64 1 y)))
(if (!=.f64 (+.f64 0 (.f64 x (+.f64 y -1))) 0) (/.f64 (-.f64 0 (pow.f64 (.f64 x (-.f64 1 y)) 2)) (+.f64 0 (.f64 x (+.f64 y -1)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 y x))))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 y x)))))) (.f64 x (-.f64 1 y)))
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 y x)))))) (.f64 x (-.f64 1 y)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 x (-.f64 1 y)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 0 (.f64 x (+.f64 y -1)))))) (*.f64 x (-.f64 1 y)))
(if (!=.f64 (.f64 x (+.f64 y -1)) 0) (/.f64 (pow.f64 (.f64 x (-.f64 1 y)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 0 (.f64 x (+.f64 y -1)))))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 0 (.f64 x (+.f64 y -1))))) 0) (/.f64 (pow.f64 (.f64 x (-.f64 1 y)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 0 (.f64 x (+.f64 y -1)))))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (neg.f64 (.f64 y x)) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (neg.f64 (.f64 y x)) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 y x)))))) (*.f64 x (-.f64 1 y)))
(if (!=.f64 (fma.f64 y x x) 0) (/.f64 (fma.f64 x x (neg.f64 (pow.f64 (.f64 y x) 2))) (fma.f64 y x x)) (.f64 x (-.f64 1 y)))
(+.f64 0 (*.f64 x (-.f64 1 y)))
(+.f64 x (neg.f64 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) x)
(+.f64 (neg.f64 (.f64 y x)) (.f64 -1 (neg.f64 x)))
(+.f64 (neg.f64 (.f64 y x)) (.f64 (neg.f64 x) -1))
(+.f64 (neg.f64 (*.f64 y x)) (neg.f64 (neg.f64 x)))
(-.f64 x (*.f64 y x))
(-.f64 (+.f64 x 0) (*.f64 y x))
(-.f64 0 (*.f64 x (+.f64 y -1)))
(-.f64 (neg.f64 (*.f64 y x)) (neg.f64 x))
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))))
(.f64 (.f64 (-.f64 1 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (-.f64 1 y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 y)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))))
(.f64 x (.f64 (-.f64 1 y) 1))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 1 y)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (-.f64 1 y)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2))) 2) (cbrt.f64 (*.f64 x (-.f64 1 y)))))
(.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 (.f64 x x)) y)))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 x) (*.f64 (neg.f64 y) (cbrt.f64 x))))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (*.f64 (neg.f64 y) (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (-.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 x))))
(.f64 (neg.f64 (cbrt.f64 (.f64 x (+.f64 y -1)))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2)))
(.f64 (+.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (cbrt.f64 (.f64 x (.f64 y x))))) (-.f64 (cbrt.f64 x) (cbrt.f64 (.f64 y x))))
(.f64 (cbrt.f64 (.f64 x (-.f64 1 y))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2)) (cbrt.f64 (*.f64 x (-.f64 1 y))))
(.f64 (.f64 (-.f64 1 y) 1) x)
(*.f64 (neg.f64 x) (+.f64 y -1))
(.f64 (cbrt.f64 (.f64 x (+.f64 y -1))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 x (-.f64 1 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))) 2))
(.f64 -1 (.f64 x (+.f64 y -1)))
(.f64 (.f64 x (+.f64 y -1)) -1)
(.f64 1 (.f64 x (-.f64 1 y)))
(.f64 (.f64 x (-.f64 1 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 y))) 3)
(pow.f64 (*.f64 x (-.f64 1 y)) 1)
(neg.f64 (*.f64 x (+.f64 y -1)))
(neg.f64 (-.f64 (*.f64 x (+.f64 y -1)) 0))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3))

Outputs
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 (.f64 (neg.f64 y) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (cbrt.f64 (.f64 y x)) (neg.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2))) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 x) y x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 x (-.f64 1 y))
(fma.f64 -1 (*.f64 y x) x)
(*.f64 x (-.f64 1 y))
(fma.f64 0 0 (*.f64 x (-.f64 1 y)))
(*.f64 x (-.f64 1 y))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (neg.f64 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (neg.f64 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(*.f64 x (-.f64 1 y))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 1 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 x 1 (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 1 (neg.f64 (*.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 1 0 (*.f64 x (-.f64 1 y)))
(*.f64 x (-.f64 1 y))
(fma.f64 (cbrt.f64 (neg.f64 (.f64 y x))) (cbrt.f64 (pow.f64 (.f64 y x) 2)) x)
(*.f64 x (-.f64 1 y))
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (.f64 y x) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (*.f64 x (-.f64 1 y)))
(if (!=.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (*.f64 x (-.f64 1 y)))
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (-.f64 (neg.f64 (.f64 y x)) x) 0) (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (-.f64 (neg.f64 (.f64 y x)) x)) (*.f64 x (-.f64 1 y)))
(if (!=.f64 (neg.f64 (fma.f64 y x x)) 0) (/.f64 (fma.f64 x x (neg.f64 (pow.f64 (.f64 y x) 2))) (fma.f64 y x x)) (.f64 x (-.f64 1 y)))
(if (!=.f64 (+.f64 0 (.f64 x (+.f64 y -1))) 0) (/.f64 (-.f64 0 (pow.f64 (.f64 x (-.f64 1 y)) 2)) (+.f64 0 (.f64 x (+.f64 y -1)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (.f64 x (+.f64 y -1)) 0) (/.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 x (-.f64 1 y))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 y x))))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 y x)))))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 y x)))))) (.f64 x (-.f64 1 y)))
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 x (-.f64 1 y)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 0 (.f64 x (+.f64 y -1)))))) (*.f64 x (-.f64 1 y)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 x (-.f64 1 y))) (*.f64 x (-.f64 1 y)))
(if (!=.f64 (.f64 x (+.f64 y -1)) 0) (/.f64 (pow.f64 (.f64 x (-.f64 1 y)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 0 (.f64 x (+.f64 y -1)))))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (.f64 x (+.f64 y -1)) 0) (/.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 x (-.f64 1 y))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 0 (.f64 x (+.f64 y -1))))) 0) (/.f64 (pow.f64 (.f64 x (-.f64 1 y)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 0 (.f64 x (+.f64 y -1)))))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) 0) (/.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2) (.f64 x (-.f64 1 y))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (neg.f64 (.f64 y x)) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (neg.f64 (.f64 y x)) (-.f64 (neg.f64 (.f64 y x)) x)))) (.f64 x (-.f64 1 y)))
(if (!=.f64 (neg.f64 (.f64 y x)) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (*.f64 x (-.f64 1 y)))
(if (!=.f64 (neg.f64 (.f64 y x)) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 y x)))))) (*.f64 x (-.f64 1 y)))
(if (!=.f64 (neg.f64 (.f64 y x)) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x x (.f64 (.f64 y x) (fma.f64 y x x)))) (*.f64 x (-.f64 1 y)))
(if (!=.f64 (fma.f64 y x x) 0) (/.f64 (fma.f64 x x (neg.f64 (pow.f64 (.f64 y x) 2))) (fma.f64 y x x)) (.f64 x (-.f64 1 y)))
(+.f64 0 (*.f64 x (-.f64 1 y)))
(*.f64 x (-.f64 1 y))
(+.f64 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(+.f64 (neg.f64 (*.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(+.f64 (neg.f64 (.f64 y x)) (.f64 -1 (neg.f64 x)))
(*.f64 x (-.f64 1 y))
(+.f64 (neg.f64 (.f64 y x)) (.f64 (neg.f64 x) -1))
(*.f64 x (-.f64 1 y))
(+.f64 (neg.f64 (*.f64 y x)) (neg.f64 (neg.f64 x)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(*.f64 x (-.f64 1 y))
(-.f64 (+.f64 x 0) (*.f64 y x))
(*.f64 x (-.f64 1 y))
(-.f64 0 (*.f64 x (+.f64 y -1)))
(*.f64 x (-.f64 1 y))
(-.f64 (neg.f64 (*.f64 y x)) (neg.f64 x))
(*.f64 x (-.f64 1 y))
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))))
(*.f64 x (-.f64 1 y))
(.f64 (.f64 (-.f64 1 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 x (-.f64 1 y))
(.f64 (.f64 (-.f64 1 y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 x (-.f64 1 y))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 y)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))))
(*.f64 x (-.f64 1 y))
(.f64 x (.f64 (-.f64 1 y) 1))
(*.f64 x (-.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 1 y)))
(*.f64 x (-.f64 1 y))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (-.f64 1 y)))
(*.f64 x (-.f64 1 y))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2))) 2) (cbrt.f64 (*.f64 x (-.f64 1 y)))))
(*.f64 x (-.f64 1 y))
(.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 (.f64 x x)) y)))
(*.f64 x (-.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 x) (*.f64 (neg.f64 y) (cbrt.f64 x))))
(*.f64 x (-.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (*.f64 (neg.f64 y) (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 x (-.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (-.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 x))))
(*.f64 x (-.f64 1 y))
(.f64 (neg.f64 (cbrt.f64 (.f64 x (+.f64 y -1)))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2)))
(*.f64 x (-.f64 1 y))
(.f64 (+.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (cbrt.f64 (.f64 x (.f64 y x))))) (-.f64 (cbrt.f64 x) (cbrt.f64 (.f64 y x))))
(*.f64 x (-.f64 1 y))
(.f64 (cbrt.f64 (.f64 x (-.f64 1 y))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2)))
(*.f64 x (-.f64 1 y))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2)) (cbrt.f64 (*.f64 x (-.f64 1 y))))
(*.f64 x (-.f64 1 y))
(.f64 (.f64 (-.f64 1 y) 1) x)
(*.f64 x (-.f64 1 y))
(*.f64 (neg.f64 x) (+.f64 y -1))
(*.f64 x (-.f64 1 y))
(.f64 (cbrt.f64 (.f64 x (+.f64 y -1))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))))
(*.f64 x (-.f64 1 y))
(.f64 (.f64 (cbrt.f64 (.f64 x (-.f64 1 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 y)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))) 2))
(*.f64 x (-.f64 1 y))
(.f64 -1 (.f64 x (+.f64 y -1)))
(*.f64 x (-.f64 1 y))
(.f64 (.f64 x (+.f64 y -1)) -1)
(*.f64 x (-.f64 1 y))
(.f64 1 (.f64 x (-.f64 1 y)))
(*.f64 x (-.f64 1 y))
(.f64 (.f64 x (-.f64 1 y)) 1)
(*.f64 x (-.f64 1 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3) 1/3)
(*.f64 x (-.f64 1 y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 y))) 3)
(*.f64 x (-.f64 1 y))
(pow.f64 (*.f64 x (-.f64 1 y)) 1)
(*.f64 x (-.f64 1 y))
(neg.f64 (*.f64 x (+.f64 y -1)))
(*.f64 x (-.f64 1 y))
(neg.f64 (-.f64 (*.f64 x (+.f64 y -1)) 0))
(*.f64 x (-.f64 1 y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3))
(*.f64 x (-.f64 1 y))

eval48.0ms (0.9%)

Compiler: Compiled 1308 to 667 computations (49% saved)

prune24.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	83	7	90

Error

Counts

90 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
✓	28.6b	(-.f64 x (*.f64 y x))
✓	28.6b	(*.f64 (-.f64 1 y) x)
✓	24.6b	(*.f64 y (-.f64 1 x))
✓	52.3b	(neg.f64 (*.f64 y x))
	35.1b	y
	38.9b	x

Compiler

Compiled 42 to 27 computations (35.7% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune7.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
✓	28.6b	(-.f64 x (*.f64 y x))
✓	28.6b	(*.f64 (-.f64 1 y) x)
✓	24.6b	(*.f64 y (-.f64 1 x))
✓	52.3b	(neg.f64 (*.f64 y x))
	35.1b	y
	38.9b	x

Compiler

Compiled 42 to 27 computations (35.7% saved)

regimes32.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

Inputs
x
y
(neg.f64 (*.f64 y x))
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(-.f64 (+.f64 x y) (*.f64 x y))
(fma.f64 y (-.f64 1 x) x)

Outputs
(fma.f64 y (-.f64 1 x) x)

Calls

3 calls:

10.0ms	x
10.0ms	y
9.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 51 to 26 computations (49% saved)

regimes54.0ms (1%)

Counts

7 → 1

Calls

Call 1

Inputs
x
y
(neg.f64 (*.f64 y x))
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(-.f64 (+.f64 x y) (*.f64 x y))

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))

Calls

3 calls:

24.0ms	y
17.0ms	x
10.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 45 to 23 computations (48.9% saved)

regimes77.0ms (1.4%)

Counts

6 → 5

Calls

Call 1

Inputs
x
y
(neg.f64 (*.f64 y x))
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))

Outputs
(*.f64 (-.f64 1 y) x)
y
x
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 y) x)

Calls

2 calls:

42.0ms	x
31.0ms	y

Results

Error	Segments	Branch
5.8b	5	`x`
7.4b	3	`y`

Compiler

Compiled 29 to 15 computations (48.3% saved)

bsearch62.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
8.0ms	4.277455999608901e-10	5.775082695143151e-10
18.0ms	1.4469865440514052e-91	6.397801850423902e-91
18.0ms	4.347241875340098e-123	1.021914683339989e-120
18.0ms	-6.754904323501392e-47	-2.460041281424936e-48

Results

54.0ms

368×

body

256

valid

Compiler

Compiled 274 to 204 computations (25.5% saved)

regimes109.0ms (2%)

Counts

4 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 (*.f64 y x))
(*.f64 y (-.f64 1 x))

Outputs
(*.f64 y (-.f64 1 x))
x
(*.f64 y (-.f64 1 x))

Calls

2 calls:

58.0ms	x
50.0ms	y

Results

Error	Segments	Branch
13.1b	7	`x`
7.6b	3	`y`

Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch72.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	2.3981401828546095e-7	540468.560296161
47.0ms	-2.690783256516602e-34	-2.960756286627884e-40

Results

64.0ms

304×

body

256

valid

Compiler

Compiled 242 to 180 computations (25.6% saved)

regimes40.0ms (0.7%)

Counts

3 → 7

Calls

Call 1

Inputs
x
y
(neg.f64 (*.f64 y x))

Outputs
x
(neg.f64 (*.f64 y x))
x
y
x
y
x

Calls

2 calls:

25.0ms	x
14.0ms	y

Results

Error	Segments	Branch
14.2b	7	`x`
16.4b	4	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch87.0ms (1.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
5.0ms	4.277455999608901e-10	5.775082695143151e-10
11.0ms	1.4469865440514052e-91	6.397801850423902e-91
12.0ms	4.347241875340098e-123	1.021914683339989e-120
12.0ms	-6.754904323501392e-47	-2.460041281424936e-48
20.0ms	-1.3169562181660311e+32	-2.542969550918956e+25
27.0ms	-2.11579046864847e+184	-7.2933839896292e+179

Results

73.0ms	640×	body	256	valid
4.0ms	41×	body	256	infinite

Compiler

Compiled 385 to 283 computations (26.5% saved)

regimes26.0ms (0.5%)

Accuracy

Total -46.1b remaining (-285.3%)

Threshold costs -46.1b (-285.3%)

Counts

2 → 5

Calls

Call 1

Inputs
x
y

Outputs
x
y
x
y
x

Calls

2 calls:

17.0ms	x
8.0ms	y

Results

Error	Segments	Branch
16.1b	5	`x`
18.0b	3	`y`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch85.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
5.0ms	4.277455999608901e-10	5.775082695143151e-10
12.0ms	1.4469865440514052e-91	6.397801850423902e-91
18.0ms	4.347241875340098e-123	1.021914683339989e-120
39.0ms	-6.754904323501392e-47	-2.460041281424936e-48

Results

66.0ms

368×

body

256

valid

Compiler

Compiled 198 to 147 computations (25.8% saved)

simplify4.0ms (0.1%)

Stop Event

1×

fuel

Compiler

Compiled 135 to 85 computations (37% saved)

soundness1.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

end91.0ms (1.7%)

Compiler: Compiled 123 to 73 computations (40.7% saved)

Details

analyze81.0ms (1.5%)

sample793.0ms (14.6%)

preprocess136.0ms (2.5%)

simplify63.0ms (1.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series11.0ms (0.2%)

rewrite133.0ms (2.4%)

simplify465.0ms (8.5%)

localize11.0ms (0.2%)

eval61.0ms (1.1%)

prune19.0ms (0.3%)

localize5.0ms (0.1%)

series5.0ms (0.1%)

rewrite205.0ms (3.8%)

simplify827.0ms (15.2%)

localize9.0ms (0.2%)

series9.0ms (0.2%)

rewrite166.0ms (3%)

simplify1.1s (19.9%)

eval124.0ms (2.3%)

prune39.0ms (0.7%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

series6.0ms (0.1%)

rewrite106.0ms (2%)

simplify252.0ms (4.6%)

eval48.0ms (0.9%)

prune24.0ms (0.4%)

eval0.0ms (0%)

prune7.0ms (0.1%)

regimes32.0ms (0.6%)

regimes54.0ms (1%)

regimes77.0ms (1.4%)

bsearch62.0ms (1.1%)

regimes109.0ms (2%)

bsearch72.0ms (1.3%)

regimes40.0ms (0.7%)

bsearch87.0ms (1.6%)

regimes26.0ms (0.5%)

bsearch85.0ms (1.6%)

simplify4.0ms (0.1%)

soundness1.0ms (0%)

end91.0ms (1.7%)

Profiling