Details

analyze146.0ms (1.6%)

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%	87.4%	0.1%	0%	12.5%	0%	5
0%	0%	74.9%	0.1%	6.2%	18.7%	0%	6
4.2%	3.1%	71.8%	0.1%	6.2%	18.7%	0%	7
11.4%	7.8%	60.8%	0.1%	9.4%	21.8%	0%	8
18.8%	11.7%	50.7%	0.1%	9.4%	28.1%	0%	9
28.1%	17.6%	44.9%	0.1%	9.4%	28.1%	0%	10
38.5%	22.8%	36.5%	0.1%	10.1%	30.4%	0%	11
47.4%	26.6%	29.5%	0.1%	10.1%	33.5%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.0s (11.2%)

Results

915.0ms	8256×	body	256	valid
98.0ms	1071×	body	256	invalid
4.0ms	40×	body	256	infinite

Bogosity

preprocess2.9s (31.9%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify1.4s (15.7%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 19 to 9 computations (52.6% saved)

prune1.0ms (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

16.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.1b	(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
▶	16.1b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
✓	0.3b	(*.f64 x (log.f64 (/.f64 x y)))
✓	15.6b	(log.f64 (/.f64 x y))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series131.0ms (1.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(log.f64 (/.f64 x y))
19.0ms	x	@	0	(*.f64 x (log.f64 (/.f64 x y)))
17.0ms	x	@	-inf	(log.f64 (/.f64 x y))
13.0ms	y	@	inf	(log.f64 (/.f64 x y))
11.0ms	y	@	-inf	(log.f64 (/.f64 x y))

Compiler

Compiled 4400 to 2780 computations (36.8% saved)

rewrite1.6s (17%)

Algorithm

1×	batch-egg-rewrite

Rules

68×	`egg-rr`
42×	`egg-rr`
12×	`egg-rr`

Counts

3 → 122

Calls

Call 1

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

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

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simplify1.9s (21.1%)

Algorithm

1×

egglog

Details

analyze146.0ms (1.6%)

sample1.0s (11.2%)

preprocess2.9s (31.9%)

simplify1.4s (15.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series131.0ms (1.4%)

rewrite1.6s (17%)

simplify1.9s (21.1%)

end0.0ms (0%)

Profiling