Details

analyze307.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	53	10
1	53	10

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (+.f64 z x)))
0.0b	(*.f64 y (+.f64 z x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
6.0ms	(*.f64 y (+.f64 z x))

series50.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
27.0ms	(*.f64 y (+.f64 z x))

simplify81.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4973	467
1	4973	467

prune20.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0b

Counts

43 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
0.0b	(+.f64 (.f64 y z) (.f64 y x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+r+_binary64`

Counts

2 → 26

Calls

2 calls:

6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
4.0ms	(+.f64 (.f64 y z) (.f64 y x))

series59.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
32.0ms	(+.f64 (.f64 y z) (.f64 y x))

simplify88.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4995	410
1	4995	410

prune15.0ms

Filtered

21 candidates to 32 candidates (-52.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3)))
0.0b	(*.f64 y (+.f64 z x))
0.3b	(pow.f64 (*.f64 y (+.f64 z x)) 3)
33.5b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`flip3-+_binary64` `associate-r_binary64` `cube-div_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

5.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3)))
6.0ms	(*.f64 y (+.f64 z x))
6.0ms	(pow.f64 (*.f64 y (+.f64 z x)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3))

series123.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3)))
26.0ms	(*.f64 y (+.f64 z x))
47.0ms	(pow.f64 (*.f64 y (+.f64 z x)) 3)
25.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5063	1063

prune44.0ms

Filtered

59 candidates to 90 candidates (-52.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Merged error: 0b

Counts

94 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 z x))
0.0b	(sqrt.f64 (+.f64 z x))
0.1b	(.f64 (.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))
0.1b	(*.f64 y (sqrt.f64 (+.f64 z x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
14×	`associate-r_binary64`
13×	`pow1_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 z x))
5.0ms	(sqrt.f64 (+.f64 z x))
12.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))
7.0ms	(*.f64 y (sqrt.f64 (+.f64 z x)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sqrt.f64 (+.f64 z x))
20.0ms	(sqrt.f64 (+.f64 z x))
49.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))
52.0ms	(*.f64 y (sqrt.f64 (+.f64 z x)))

simplify82.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5065	1397

prune45.0ms

Filtered

63 candidates to 99 candidates (-57.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	99	4	103

Merged error: 0b

Counts

103 → 4

regimes41.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms

sample364.0ms

Algorithm

intervals

Results

185.0ms	8000×	body	80	valid
12.0ms	566×	body	80	invalid

Details

analyze307.0ms

sample14.0ms

simplify14.0ms

prune2.0ms

localize5.0ms

rewrite10.0ms

series50.0ms

simplify81.0ms

prune20.0ms

localize6.0ms

rewrite10.0ms

series59.0ms

simplify88.0ms

prune15.0ms

localize8.0ms

rewrite23.0ms

series123.0ms

simplify43.0ms

prune44.0ms

localize7.0ms

rewrite30.0ms

series144.0ms

simplify82.0ms

prune45.0ms

regimes41.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample364.0ms

Profiling