Details

analyze180.0ms (1.9%)

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
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
39.7%	37.4%	56.9%	0.1%	5.5%	0%	0%	10
46.5%	43.7%	50.3%	0.1%	5.9%	0%	0%	11
55.2%	51.9%	42.1%	0.1%	5.9%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample836.0ms (9%)

Results

766.0ms	8256×	body	256	valid
59.0ms	664×	body	256	infinite

Bogosity

preprocess3.2s (34%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify1.9s (20.4%)

Algorithm

1×

egglog

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 x (*.f64 y z))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series15.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

Compiler

Compiled 1110 to 480 computations (56.8% saved)

rewrite1.5s (16.1%)

Algorithm

1×	batch-egg-rewrite

Rules

63× egg-rr

Counts

1 → 63

Calls

Call 1

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2)) (*.f64 0 (cbrt.f64 (-.f64 (*.f64 y z) x))))) (cbrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2)) (*.f64 0 (cbrt.f64 (-.f64 x (*.f64 y z)))))) (+.f64 0 (cbrt.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)) (-.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 (*.f64 (neg.f64 y) z)) (cbrt.f64 x)))) (+.f64 (cbrt.f64 (*.f64 (neg.f64 y) z)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (neg.f64 y) z))))) (-.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2)) (cbrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 (*.f64 y z)) (+.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 x)))) (-.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 y z) x)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 y) z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y z)) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (neg.f64 y) z)) (cbrt.f64 (pow.f64 (*.f64 y z) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (neg.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule 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simplify1.7s (18.4%)

Algorithm

1×

egglog

Details

analyze180.0ms (1.9%)

sample836.0ms (9%)

preprocess3.2s (34%)

simplify1.9s (20.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series15.0ms (0.2%)

rewrite1.5s (16.1%)

simplify1.7s (18.4%)

end0.0ms (0%)

Profiling