Details

analyze918.0ms

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

sample48.0ms

Algorithm

intervals

Results

12.0ms	196×	body	80	valid
9.0ms	29×	body	640	valid
6.0ms	10×	body	1280	valid
3.0ms	14×	body	320	valid
2.0ms	40×	body	80	nan
1.0ms	3×	body	1280	invalid
1.0ms	4×	body	640	invalid
1.0ms	7×	body	160	valid
1.0ms	11×	body	80	invalid
0.0ms	2×	body	320	invalid
0.0ms	3×	body	160	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4988	11
1	4988	11

prune5.0ms

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: 6.9b

Counts

2 → 1

localize8.0ms

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))
6.1b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite42.0ms

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:

26.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
5.0ms	(/.f64 y (+.f64 y z))
7.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

series63.0ms

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))
34.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

simplify78.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4949	964
1	4949	964

prune58.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	5	88

Merged error: 0.5b

Counts

88 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
1.7b	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

rewrite23.0ms

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)
2.0ms	(cbrt.f64 y)
16.0ms	(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:

16.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)
59.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5157	876

prune52.0ms

Filtered

59 candidates to 76 candidates (-28.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	78	3	81

Merged error: 0.0b

Counts

81 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 y z))
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
3.6b	(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))

rewrite19.0ms

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))))

series79.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt.f64 (+.f64 y z))
15.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)
19.0ms	(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5089	1207

prune72.0ms

Filtered

88 candidates to 107 candidates (-21.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

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

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)
7.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))

simplify77.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4852	411
1	4852	411

prune21.0ms

Filtered

36 candidates to 47 candidates (-30.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	47	3	50

Merged error: 0.0b

Counts

50 → 3

regimes90.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	27
1	21	27

end0.0ms

sample1.5s

Algorithm

intervals

Results

373.0ms	6089×	body	80	valid
338.0ms	652×	body	1280	valid
203.0ms	634×	body	640	valid
89.0ms	408×	body	320	valid
76.0ms	248×	body	640	invalid
51.0ms	106×	body	1280	invalid
47.0ms	1072×	body	80	nan
34.0ms	166×	body	320	invalid
29.0ms	217×	body	160	valid
21.0ms	356×	body	80	invalid
13.0ms	104×	body	160	invalid

Details

analyze918.0ms

sample48.0ms

simplify41.0ms

prune5.0ms

localize8.0ms

rewrite42.0ms

series63.0ms

simplify78.0ms

prune58.0ms

localize17.0ms

rewrite23.0ms

series103.0ms

simplify35.0ms

prune52.0ms

localize16.0ms

rewrite19.0ms

series79.0ms

simplify53.0ms

prune72.0ms

localize6.0ms

rewrite13.0ms

series12.0ms

simplify77.0ms

prune21.0ms

regimes90.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling