Details

analyze26.0ms (2.1%)

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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	6.2%	0%	0%	6
75%	65.6%	21.9%	0.1%	12.5%	0%	0%	7
79.6%	67.1%	17.2%	0.1%	15.6%	0%	0%	8
86.5%	70.2%	10.9%	0.1%	18.7%	0%	0%	9
89.2%	71%	8.6%	0.1%	20.3%	0%	0%	10
93%	72.6%	5.5%	0.1%	21.9%	0%	0%	11
94.4%	73%	4.3%	0.1%	22.6%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample880.0ms (70%)

Results

817.0ms	8256×	body	256	valid
52.0ms	277×	body	256	infinite

Bogosity

preprocess90.0ms (7.2%)

Algorithm

2×	egg-herbie

Rules

1158×	`pow-sqr`
1112×	`sqr-pow`
1020×	`exp-prod`
968×	`associate-/r/`
950×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	22	34
2	39	34
3	68	34
4	138	34
5	311	34
6	777	34
7	2193	34
8	3712	34
9	4530	34
10	6100	34
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(exp.f64 (.f64 (.f64 y x) x))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(pow.f64 (exp.f64 (*.f64 x y)) y)
(pow.f64 (pow.f64 (exp.f64 x) y) y)
(pow.f64 (exp.f64 x) (*.f64 y y))
(exp.f64 (.f64 (.f64 y x) x))
(pow.f64 (exp.f64 (*.f64 x y)) x)
(pow.f64 (exp.f64 x) (*.f64 x y))
(pow.f64 (pow.f64 (exp.f64 x) y) x)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify97.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

1206×	`sqr-pow`
960×	`associate-*r/`
748×	`distribute-lft-in`
688×	`unswap-sqr`
648×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	14	17
2	25	17
3	43	17
4	87	17
5	199	17
6	499	17
7	1384	17
8	3740	17
9	4246	17
10	5231	17
11	7119	17

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(pow.f64 (exp.f64 (*.f64 x y)) y)
(pow.f64 (exp.f64 x) (*.f64 y y))
(pow.f64 (pow.f64 (exp.f64 x) y) y)

eval1.0ms (0.1%)

Compiler: Compiled 26 to 12 computations (53.8% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Accurracy

100.0%

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (.f64 (.f64 x y) y))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 (.f64 x y) y)

Compiler

Compiled 18 to 5 computations (72.2% saved)

series2.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite87.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`add-sqr-sqrt`
1136×	`*-un-lft-identity`
1068×	`pow1`
1048×	`add-cube-cbrt`
1028×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	119	13
2	1440	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 x y) y)

Outputs
(((-.f64 (+.f64 1 (.f64 x (.f64 y y))) 1) (2)) ((pow.f64 (.f64 x (.f64 y y)) 1) (2)) ((pow.f64 (.f64 (sqrt.f64 x) y) 2) (2)) ((pow.f64 (cbrt.f64 (.f64 x (.f64 y y))) 3) (2)) ((pow.f64 (pow.f64 (.f64 x (.f64 y y)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (.f64 x (.f64 y y)) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 x) (.f64 y y))) (2)) ((cbrt.f64 (pow.f64 (.f64 x (.f64 y y)) 3)) (2)) ((expm1.f64 (log1p.f64 (.f64 x (.f64 y y)))) (2)) ((exp.f64 (log.f64 (.f64 x (.f64 y y)))) (2)) ((log1p.f64 (expm1.f64 (.f64 x (.f64 y y)))) (2)))

Outputs

(((-.f64 (+.f64 1 (*.f64 x (*.f64 y y))) 1) (2)) ((pow.f64 (*.f64 x (*.f64 y y)) 1) (2)) ((pow.f64 (*.f64 (sqrt.f64 x) y) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 x (*.f64 y y)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (*.f64 y y)) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 x) (*.f64 y y))) (2)) ((cbrt.f64 (pow.f64 (*.f64 x (*.f64 y y)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (*.f64 y y)))) (2)) ((exp.f64 (log.f64 (*.f64 x (*.f64 y y)))) (2)) ((log1p.f64 (expm1.f64 (*.f64 x (*.f64 y y)))) (2)))

simplify40.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1474×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1176×	`log-prod`
718×	`associate-r`
698×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	455
1	87	455
2	330	455
3	1892	455

Stop Event

1×	node limit

Counts

35 → 14

Calls

Call 1

Inputs
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(-.f64 (+.f64 1 (.f64 x (.f64 y y))) 1)
(pow.f64 (.f64 x (.f64 y y)) 1)
(pow.f64 (*.f64 (sqrt.f64 x) y) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 y y))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 y y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 y y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 y y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y y))))
(exp.f64 (log.f64 (.f64 x (.f64 y y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y y))))

Outputs
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(-.f64 (+.f64 1 (.f64 x (.f64 y y))) 1)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(pow.f64 (.f64 x (.f64 y y)) 1)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(pow.f64 (*.f64 (sqrt.f64 x) y) 2)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 y y))) 3)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(pow.f64 (pow.f64 (.f64 x (.f64 y y)) 3) 1/3)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 y y)) 2))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 y y)) 3))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y y))))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(exp.f64 (log.f64 (.f64 x (.f64 y y))))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y y))))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))

eval2.0ms (0.2%)

Compiler: Compiled 114 to 55 computations (51.8% saved)

prune3.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	1	15

Accurracy

100.0%

Counts

15 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	10	17

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(exp.f64 (.f64 y (.f64 x y)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

soundness0.0ms (0%)

end18.0ms (1.4%)

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

Details

analyze26.0ms (2.1%)

sample880.0ms (70%)

preprocess90.0ms (7.2%)

simplify97.0ms (7.7%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

localize6.0ms (0.5%)

series2.0ms (0.2%)

rewrite87.0ms (7%)

simplify40.0ms (3.2%)

eval2.0ms (0.2%)

prune3.0ms (0.2%)

simplify4.0ms (0.3%)

soundness0.0ms (0%)

end18.0ms (1.4%)

Profiling