Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

sample160.0ms

Algorithm

intervals

Results

101.0ms	109×	body	1280	valid
35.0ms	77×	body	640	valid
8.0ms	34×	body	320	valid
4.0ms	256×	pre	80	true
3.0ms	26×	body	160	valid
1.0ms	10×	body	80	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	46	14
1	46	14

prune1.0ms

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: 59.9b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
6.4b	(log.f64 (+.f64 1 x))
6.4b	(log.f64 (-.f64 1 x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
15×	`pow1_binary64` `add-cube-cbrt_binary64`
12×	`log-pow_binary64`
10×	`log-prod_binary64`
7×	`add-exp-log_binary64`
6×	`log-div_binary64`
5×	`add-cbrt-cube_binary64`
4×	`associate-/r_binary64` `associate-/l_binary64`
3×	`add-log-exp_binary64`
2×	`flip3--_binary64` `rem-log-exp_binary64` `div-sub_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 70

Calls

3 calls:

6.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))

series100.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
14.0ms	(log.f64 (+.f64 1 x))
14.0ms	(log.f64 (-.f64 1 x))

simplify69.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5103	1554

prune82.0ms

Filtered

55 candidates to 79 candidates (-43.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	5	80

Merged error: 0.1b

Counts

80 → 5

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify11.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Merged error: 0.1b

Counts

5 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x))) (log.f64 (+.f64 1 x)))
4.5b	(log.f64 (-.f64 1 (*.f64 x x)))
6.4b	(log.f64 (+.f64 1 x))
6.4b	(log.f64 (+.f64 1 x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64`
36×	`pow1_binary64`
32×	`log-pow_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
21×	`add-cube-cbrt_binary64`
20×	`distribute-lft-out--_binary64`
13×	`log-prod_binary64`
9×	`add-exp-log_binary64`
8×	`associate-/l*_binary64`
7×	`difference-of-squares_binary64`
6×	`add-cbrt-cube_binary64` `log-div_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64`
3×	`rem-log-exp_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `flip--_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 105

Calls

4 calls:

9.0ms	(/.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x))) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
5.0ms	(log.f64 (+.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series148.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x))) (log.f64 (+.f64 1 x)))
33.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
12.0ms	(log.f64 (+.f64 1 x))
13.0ms	(log.f64 (+.f64 1 x))

simplify88.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5024	3022

prune110.0ms

Filtered

73 candidates to 117 candidates (-60.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	2	0	2
Picked	1	0	1
Done	1	1	2
Total	117	5	122

Merged error: 0.0b

Counts

122 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 6) -1/3)
6.4b	(log.f64 (+.f64 1 x))
6.4b	(log.f64 (+.f64 1 x))
30.2b	(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 6) -1/3) (-.f64 (.f64 (pow.f64 x 4) -1/2) (*.f64 x x))) (log.f64 (+.f64 1 x))) (log.f64 (+.f64 1 x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64`
36×	`add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`
18×	`pow1_binary64`
14×	`log-pow_binary64`
13×	`add-exp-log_binary64`
10×	`distribute-lft-out--_binary64`
8×	`log-prod_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`associate-/l*_binary64`
5×	`difference-of-squares_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `unpow-prod-down_binary64` `log-div_binary64`
3×	`associate-r_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `sqr-pow_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

5.0ms	(*.f64 (pow.f64 x 6) -1/3)
3.0ms	(log.f64 (+.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))
14.0ms	(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 6) -1/3) (-.f64 (.f64 (pow.f64 x 4) -1/2) (*.f64 x x))) (log.f64 (+.f64 1 x))) (log.f64 (+.f64 1 x)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(*.f64 (pow.f64 x 6) -1/3)
17.0ms	(log.f64 (+.f64 1 x))
13.0ms	(log.f64 (+.f64 1 x))
78.0ms	(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 6) -1/3) (-.f64 (.f64 (pow.f64 x 4) -1/2) (*.f64 x x))) (log.f64 (+.f64 1 x))) (log.f64 (+.f64 1 x)))

simplify65.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4987	3490
1	4987	3490

prune162.0ms

Filtered

83 candidates to 116 candidates (-39.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	115	6	121

Merged error: 0b

Counts

121 → 6

regimes18.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms

sample5.0s

Algorithm

intervals

Results

3.2s	3439×	body	1280	valid
1.1s	2437×	body	640	valid
284.0ms	1220×	body	320	valid
136.0ms	8000×	pre	80	true
88.0ms	652×	body	160	valid
15.0ms	252×	body	80	valid

Details

analyze1.3s

sample160.0ms

simplify16.0ms

prune1.0ms

localize6.0ms

rewrite15.0ms

series100.0ms

simplify69.0ms

prune82.0ms

localize5.0ms

rewrite0.0ms

series0.0ms

simplify11.0ms

prune4.0ms

localize9.0ms

rewrite24.0ms

series148.0ms

simplify88.0ms

prune110.0ms

localize14.0ms

rewrite29.0ms

series140.0ms

simplify65.0ms

prune162.0ms

regimes18.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample5.0s

Profiling