Details

analyze298.0ms

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%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample21.0ms

Algorithm

intervals

Results

10.0ms	247×	body	80	valid
1.0ms	26×	body	80	invalid
0.0ms	5×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune7.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d3 (+.f64 3 d2)))

rewrite9.0ms

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:

8.0ms

(*.f64 d1 (+.f64 d3 (+.f64 3 d2)))

series8.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 d1 (+.f64 d3 (+.f64 3 d2)))

simplify70.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4961	218
1	4961	218

prune23.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 d2))
0.0b	(+.f64 (.f64 d1 d3) (.f64 d1 (+.f64 3 d2)))

rewrite11.0ms

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:

6.0ms	(*.f64 d1 (+.f64 3 d2))
5.0ms	(+.f64 (.f64 d1 d3) (.f64 d1 (+.f64 3 d2)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 d1 (+.f64 3 d2))
8.0ms	(+.f64 (.f64 d1 d3) (.f64 d1 (+.f64 3 d2)))

simplify42.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5061	321

prune26.0ms

Filtered

28 candidates to 43 candidates (-53.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 d1 d3) (/.f64 (.f64 d1 (+.f64 27 (pow.f64 d2 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 d2 d2) (*.f64 3 d2)))))
0.2b	(-.f64 (.f64 d2 d2) (.f64 3 d2))
3.1b	(*.f64 d1 (+.f64 27 (pow.f64 d2 3)))
16.3b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 d2 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 d2 d2) (.f64 3 d2))))

rewrite40.0ms

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 d3) (/.f64 (.f64 d1 (+.f64 27 (pow.f64 d2 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 d2 d2) (*.f64 3 d2)))))
4.0ms	(-.f64 (.f64 d2 d2) (.f64 3 d2))
8.0ms	(*.f64 d1 (+.f64 27 (pow.f64 d2 3)))
14.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 d2 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 d2 d2) (.f64 3 d2))))

series108.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+.f64 (.f64 d1 d3) (/.f64 (.f64 d1 (+.f64 27 (pow.f64 d2 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 d2 d2) (*.f64 3 d2)))))
6.0ms	(-.f64 (.f64 d2 d2) (.f64 3 d2))
15.0ms	(*.f64 d1 (+.f64 27 (pow.f64 d2 3)))
34.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 d2 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 d2 d2) (.f64 3 d2))))

simplify87.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4929	1096
1	4929	1096

prune61.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	83	4	87

Merged error: 0b

Counts

87 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 3 d2) (+.f64 3 d2))
2.8b	(-.f64 (.f64 d3 d3) (.f64 (+.f64 3 d2) (+.f64 3 d2)))
8.3b	(.f64 d1 (-.f64 (.f64 d3 d3) (*.f64 (+.f64 3 d2) (+.f64 3 d2))))
19.5b	(/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) (*.f64 (+.f64 3 d2) (+.f64 3 d2)))) (-.f64 d3 (+.f64 3 d2)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64` `associate-r_binary64`
7×	`associate-l_binary64`
6×	`flip3-+_binary64` `associate-/r_binary64` `add-log-exp_binary64` `swap-sqr_binary64` `associate-r/_binary64` `times-frac_binary64` `flip-+_binary64`
4×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `frac-times_binary64`
3×	`sub-neg_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate--r+_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

4 → 108

Calls

4 calls:

9.0ms	(*.f64 (+.f64 3 d2) (+.f64 3 d2))
4.0ms	(-.f64 (.f64 d3 d3) (.f64 (+.f64 3 d2) (+.f64 3 d2)))
7.0ms	(.f64 d1 (-.f64 (.f64 d3 d3) (*.f64 (+.f64 3 d2) (+.f64 3 d2))))
12.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) (*.f64 (+.f64 3 d2) (+.f64 3 d2)))) (-.f64 d3 (+.f64 3 d2)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(*.f64 (+.f64 3 d2) (+.f64 3 d2))
8.0ms	(-.f64 (.f64 d3 d3) (.f64 (+.f64 3 d2) (+.f64 3 d2)))
23.0ms	(.f64 d1 (-.f64 (.f64 d3 d3) (*.f64 (+.f64 3 d2) (+.f64 3 d2))))
31.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) (*.f64 (+.f64 3 d2) (+.f64 3 d2)))) (-.f64 d3 (+.f64 3 d2)))

simplify64.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4956	1307
1	4956	1307

prune64.0ms

Filtered

79 candidates to 120 candidates (-51.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	120	4	124

Merged error: 0b

Counts

124 → 4

regimes98.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample508.0ms

Algorithm

intervals

Results

252.0ms	7489×	body	80	valid
22.0ms	191×	body	640	valid
22.0ms	687×	body	80	invalid
14.0ms	98×	body	1280	valid
13.0ms	143×	body	320	valid
5.0ms	79×	body	160	valid

Details

analyze298.0ms

sample21.0ms

simplify6.0ms

prune7.0ms

localize5.0ms

rewrite9.0ms

series8.0ms

simplify70.0ms

prune23.0ms

localize6.0ms

rewrite11.0ms

series14.0ms

simplify42.0ms

prune26.0ms

localize14.0ms

rewrite40.0ms

series108.0ms

simplify87.0ms

prune61.0ms

localize10.0ms

rewrite35.0ms

series64.0ms

simplify64.0ms

prune64.0ms

regimes98.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample508.0ms

Profiling