Details

analyze160.0ms (1.3%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
38.3%	35.9%	57.7%	0.1%	6.2%	0%	0%	10
45.8%	42.9%	50.7%	0.1%	6.2%	0%	0%	11
53.4%	48.8%	42.5%	0.1%	8.6%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample820.0ms (6.4%)

Results

737.0ms	8256×	body	256	valid
69.0ms	816×	body	256	infinite

Bogosity

preprocess2.9s (22.8%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Outputs
(.f64 x (-.f64 1 (.f64 y z)))
(*.f64 x (neg.f64 (fma.f64 y z -1)))
(.f64 y (-.f64 1 (.f64 x z)))
(*.f64 y (neg.f64 (fma.f64 z x -1)))
(.f64 z (-.f64 1 (.f64 y x)))
(*.f64 z (neg.f64 (fma.f64 y x -1)))
(.f64 x (-.f64 1 (.f64 z y)))
(*.f64 x (neg.f64 (fma.f64 y z -1)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify1.5s (11.5%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

Outputs
(.f64 x (-.f64 1 (.f64 y z)))
(*.f64 (neg.f64 (fma.f64 z y -1)) x)

eval1.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

1.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.8b	(.f64 x (-.f64 1 (.f64 y z)))

Compiler

Compiled 10 to 7 computations (30% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.7b	(.f64 x (-.f64 1 (.f64 y z)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series12.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

Compiler

Compiled 1400 to 525 computations (62.5% saved)

rewrite1.5s (11.5%)

Algorithm

1×	batch-egg-rewrite

Rules

73× egg-rr

Counts

1 → 73

Calls

Call 1

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

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

Outputs

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

simplify2.4s (18.8%)

Algorithm

1×

egglog

Counts

109 → 95

Calls

Call 1

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

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

eval37.0ms (0.3%)

Compiler: Compiled 2181 to 1112 computations (49% saved)

prune18.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	88	7	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	8	96

Error

0.0b

Counts

96 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.0b	(if (!=.f64 (fma.f64 (neg.f64 (.f64 y z)) x x) 0) (/.f64 -1 (/.f64 (/.f64 1 (fma.f64 z y -1)) x)) (fma.f64 (neg.f64 (.f64 y z)) x x))
▶	1.9b	(if (!=.f64 x 0) (/.f64 (-.f64 1 (.f64 y z)) (/.f64 1 x)) (fma.f64 (neg.f64 (.f64 y z)) x x))
▶	1.8b	(-.f64 x (.f64 (.f64 z y) x))
✓	1.8b	(.f64 x (-.f64 1 (.f64 y z)))
▶	43.2b	(.f64 x (neg.f64 (.f64 y z)))
▶	42.3b	(.f64 -1 (.f64 y (*.f64 z x)))
	38.6b	(cbrt.f64 (pow.f64 (*.f64 (neg.f64 (fma.f64 z y -1)) x) 3))
	21.4b	x

Compiler

Compiled 204 to 128 computations (37.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 z y) x))
✓	4.7b	(.f64 (.f64 z y) x)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series15.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

Compiler

Compiled 2340 to 565 computations (75.9% saved)

rewrite1.5s (11.5%)

Algorithm

1×	batch-egg-rewrite

Rules

76×	`egg-rr`
49×	`egg-rr`

Counts

2 → 125

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 z (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (.f64 (cbrt.f64 (pow.f64 z 2)) (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z y)) (.f64 (cbrt.f64 (pow.f64 (.f64 z y) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (cbrt.f64 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 z y) 2)))))) 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Outputs

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simplify1.9s (15.3%)

Algorithm

1×

egglog

Details

analyze160.0ms (1.3%)

sample820.0ms (6.4%)

preprocess2.9s (22.8%)

simplify1.5s (11.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize15.0ms (0.1%)

series12.0ms (0.1%)

rewrite1.5s (11.5%)

simplify2.4s (18.8%)

eval37.0ms (0.3%)

prune18.0ms (0.1%)

localize7.0ms (0.1%)

series15.0ms (0.1%)

rewrite1.5s (11.5%)

simplify1.9s (15.3%)

end0.0ms (0%)

Profiling