Details

analyze310.0ms

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
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample31.0ms

Algorithm

intervals

Results

15.0ms	255×	body	80	valid
2.0ms	26×	body	80	invalid
0.0ms	1×	body	640	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	134	7
1	134	7

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

14.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

simplify65.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4953	218
1	4953	218

prune19.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))
0.0b	(*.f64 d1 (+.f64 d3 37))

rewrite12.0ms

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` `distribute-lft-out_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` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

5.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))
6.0ms	(*.f64 d1 (+.f64 d3 37))

series18.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))
5.0ms	(*.f64 d1 (+.f64 d3 37))

simplify46.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5187	321

prune21.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	43	3	46

Merged error: 0.0b

Counts

46 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (*.f64 d3 37)))))
0.0b	(-.f64 (.f64 37 37) (.f64 d3 37))
2.2b	(*.f64 d1 (+.f64 (pow.f64 d3 3) 50653))
19.9b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (.f64 d3 37))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-r_binary64` `associate-*r/_binary64` `flip-+_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

12.0ms	(+.f64 (.f64 d1 d2) (/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (*.f64 d3 37)))))
4.0ms	(-.f64 (.f64 37 37) (.f64 d3 37))
9.0ms	(*.f64 d1 (+.f64 (pow.f64 d3 3) 50653))
15.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (.f64 d3 37))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+.f64 (.f64 d1 d2) (/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (*.f64 d3 37)))))
3.0ms	(-.f64 (.f64 37 37) (.f64 d3 37))
15.0ms	(*.f64 d1 (+.f64 (pow.f64 d3 3) 50653))
33.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (.f64 d3 37))))

simplify82.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4947	1093
1	4947	1093

prune62.0ms

Filtered

61 candidates to 83 candidates (-36.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	4	86

Merged error: 0b

Counts

86 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (-.f64 1369 (.f64 d3 (-.f64 37 d3))) (-.f64 (pow.f64 d3 3) 50653))
0.1b	(*.f64 (pow.f64 d3 3) (pow.f64 d3 3))
2.1b	(.f64 d1 (-.f64 (.f64 (pow.f64 d3 3) (pow.f64 d3 3)) (*.f64 50653 50653)))
26.7b	(/.f64 (.f64 d1 (-.f64 (.f64 (pow.f64 d3 3) (pow.f64 d3 3)) (.f64 50653 50653))) (.f64 (-.f64 1369 (*.f64 d3 (-.f64 37 d3))) (-.f64 (pow.f64 d3 3) 50653)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary64`
32×	`add-exp-log_binary64`
27×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`*-un-lft-identity_binary64`
24×	`associate-r_binary64` `add-cube-cbrt_binary64`
22×	`add-cbrt-cube_binary64`
18×	`swap-sqr_binary64` `associate-l_binary64` `unswap-sqr_binary64`
15×	`prod-exp_binary64`
14×	`flip3--_binary64` `flip--_binary64`
13×	`sqr-pow_binary64`
8×	`pow1_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `frac-times_binary64`
7×	`cbrt-unprod_binary64`
6×	`pow-to-exp_binary64` `pow-exp_binary64`
5×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `unpow3_binary64` `associate-*l/_binary64` `cube-mult_binary64`
3×	`pow-prod-down_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
1×	`associate-/r_binary64` `pow-prod-up_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `div-inv_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

4 → 167

Calls

4 calls:

20.0ms	(.f64 (-.f64 1369 (.f64 d3 (-.f64 37 d3))) (-.f64 (pow.f64 d3 3) 50653))
10.0ms	(*.f64 (pow.f64 d3 3) (pow.f64 d3 3))
14.0ms	(.f64 d1 (-.f64 (.f64 (pow.f64 d3 3) (pow.f64 d3 3)) (*.f64 50653 50653)))
21.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 (pow.f64 d3 3) (pow.f64 d3 3)) (.f64 50653 50653))) (.f64 (-.f64 1369 (*.f64 d3 (-.f64 37 d3))) (-.f64 (pow.f64 d3 3) 50653)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(.f64 (-.f64 1369 (.f64 d3 (-.f64 37 d3))) (-.f64 (pow.f64 d3 3) 50653))
4.0ms	(*.f64 (pow.f64 d3 3) (pow.f64 d3 3))
29.0ms	(.f64 d1 (-.f64 (.f64 (pow.f64 d3 3) (pow.f64 d3 3)) (*.f64 50653 50653)))
81.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 (pow.f64 d3 3) (pow.f64 d3 3)) (.f64 50653 50653))) (.f64 (-.f64 1369 (*.f64 d3 (-.f64 37 d3))) (-.f64 (pow.f64 d3 3) 50653)))

simplify58.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5026	1994

prune137.0ms

Filtered

101 candidates to 179 candidates (-77.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	179	4	183

Merged error: 0b

Counts

183 → 4

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample476.0ms

Algorithm

intervals

Results

277.0ms	7968×	body	80	valid
23.0ms	688×	body	80	invalid
1.0ms	11×	body	640	valid
1.0ms	6×	body	1280	valid
1.0ms	7×	body	320	valid
1.0ms	8×	body	160	valid

Details

analyze310.0ms

sample31.0ms

simplify11.0ms

prune12.0ms

localize9.0ms

rewrite16.0ms

series13.0ms

simplify65.0ms

prune19.0ms

localize6.0ms

rewrite12.0ms

series18.0ms

simplify46.0ms

prune21.0ms

localize14.0ms

rewrite43.0ms

series105.0ms

simplify82.0ms

prune62.0ms

localize17.0ms

rewrite78.0ms

series119.0ms

simplify58.0ms

prune137.0ms

regimes102.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample476.0ms

Profiling