Details

analyze962.0ms

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

sample57.0ms

Algorithm

intervals

Results

12.0ms	195×	body	80	valid
11.0ms	20×	body	1280	valid
8.0ms	24×	body	640	valid
3.0ms	11×	body	320	valid
1.0ms	27×	body	80	nan
1.0ms	5×	body	320	invalid
1.0ms	3×	body	640	invalid
1.0ms	2×	body	1280	invalid
1.0ms	6×	body	160	valid
1.0ms	12×	body	80	invalid
0.0ms	3×	body	160	invalid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4988	11
1	4988	11

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 8.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
0.0b	(/.f64 y (+.f64 y z))
7.5b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`unpow-prod-down_binary64`
8×	`distribute-lft-out_binary64` `add-exp-log_binary64`
5×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `associate-/r/_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`div-inv_binary64` `div-exp_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 78

Calls

3 calls:

22.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
6.0ms	(/.f64 y (+.f64 y z))
7.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

series67.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
6.0ms	(/.f64 y (+.f64 y z))
38.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

simplify89.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4949	964
1	4949	964

prune89.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	3	88

Merged error: 1.0b

Counts

88 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.9b	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log_binary64`
13×	`unpow-prod-down_binary64`
12×	`cbrt-div_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
8×	`associate-/r/_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`pow1_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64` `pow1/3_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `sqr-pow_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
18.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

series103.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)
58.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5157	876

prune83.0ms

Filtered

59 candidates to 76 candidates (-28.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	77	2	79

Merged error: 0.0b

Counts

79 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 y z))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
2.3b	(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod_binary64`
48×	`*-un-lft-identity_binary64` `log-prod_binary64`
42×	`times-frac_binary64`
34×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`distribute-lft-out_binary64` `add-exp-log_binary64`
5×	`pow1_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
2×	`flip3-+_binary64` `rem-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`log-pow_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64`

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 y z))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
9.0ms	(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))

series78.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt.f64 (+.f64 y z))
15.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)
19.0ms	(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))

simplify60.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5089	1207

prune119.0ms

Filtered

88 candidates to 107 candidates (-21.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	107	2	109

Merged error: 0.0b

Counts

109 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
0.0b	(/.f64 (exp.f64 (neg.f64 z)) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `pow1_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `exp-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `exp-neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 41

Calls

2 calls:

7.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
6.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
6.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

simplify82.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4852	411
1	4852	411

prune46.0ms

Filtered

37 candidates to 47 candidates (-27.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	4	49

Merged error: 0b

Counts

49 → 4

regimes153.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	27
1	21	27

end0.0ms

sample1.6s

Algorithm

intervals

Results

390.0ms	6081×	body	80	valid
342.0ms	650×	body	1280	valid
214.0ms	655×	body	640	valid
88.0ms	408×	body	320	valid
72.0ms	229×	body	640	invalid
49.0ms	103×	body	1280	invalid
49.0ms	1037×	body	80	nan
40.0ms	194×	body	320	invalid
29.0ms	206×	body	160	valid
23.0ms	379×	body	80	invalid
18.0ms	122×	body	160	invalid

Details

analyze962.0ms

sample57.0ms

simplify48.0ms

prune8.0ms

localize9.0ms

rewrite38.0ms

series67.0ms

simplify89.0ms

prune89.0ms

localize19.0ms

rewrite24.0ms

series103.0ms

simplify45.0ms

prune83.0ms

localize19.0ms

rewrite22.0ms

series78.0ms

simplify60.0ms

prune119.0ms

localize6.0ms

rewrite14.0ms

series13.0ms

simplify82.0ms

prune46.0ms

regimes153.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling