Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample87.0ms

Algorithm

intervals

Results

55.0ms	122×	body	1280	valid
18.0ms	75×	body	640	valid
5.0ms	36×	body	320	valid
2.0ms	20×	body	160	valid
0.0ms	3×	body	80	valid

simplify178.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (176.0ms)

Iter	Nodes	Cost
0	5041	8

prune2.0ms

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: 59.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps))
5.2b	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64`
41×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
26×	`log-prod_binary64`
23×	`add-cube-cbrt_binary64`
11×	`distribute-lft-out_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
5×	`associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip--_binary64`

Counts

2 → 83

Calls

2 calls:

11.0ms	(/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps))
7.0ms	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps))
6.0ms	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps)))

simplify65.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4955	1113
1	4955	1113

prune100.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	3	90

Merged error: 0.0b

Counts

90 → 3

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0.0b

Counts

3 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 eps (-.f64 eps 1.0))
5.3b	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 (pow.f64 1.0 3) (pow.f64 eps 3))))
5.3b	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 eps (-.f64 eps 1.0))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity_binary64`
54×	`log-prod_binary64`
45×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
25×	`distribute-lft-out_binary64`
21×	`add-cube-cbrt_binary64`
20×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64`
7×	`pow1_binary64`
5×	`associate-r_binary64` `sum-cubes_binary64` `add-cbrt-cube_binary64`
3×	`add-log-exp_binary64` `rem-log-exp_binary64` `associate-l_binary64` `log-div_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `associate-*r/_binary64` `log-pow_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

3 → 100

Calls

3 calls:

7.0ms	(*.f64 eps (-.f64 eps 1.0))
17.0ms	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 (pow.f64 1.0 3) (pow.f64 eps 3))))
4.0ms	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 eps (-.f64 eps 1.0))))

series16.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 eps (-.f64 eps 1.0))
6.0ms	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 (pow.f64 1.0 3) (pow.f64 eps 3))))
5.0ms	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 eps (-.f64 eps 1.0))))

simplify65.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5108	1661

prune110.0ms

Filtered

62 candidates to 109 candidates (-75.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	109	3	112

Merged error: 0.0b

Counts

112 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

5.3b	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 (pow.f64 1.0 3) (pow.f64 eps 3))))
5.3b	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 eps (-.f64 eps 1.0))))
5.3b	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 eps (-.f64 eps 1.0))))
5.3b	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 eps (-.f64 eps 1.0))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity_binary64`
60×	`log-prod_binary64`
45×	`times-frac_binary64`
40×	`add-sqr-sqrt_binary64`
25×	`distribute-lft-out_binary64`
22×	`add-cube-cbrt_binary64`
20×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`add-exp-log_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
8×	`pow1_binary64`
7×	`log-div_binary64`
5×	`rem-log-exp_binary64` `sum-cubes_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
2×	`associate-/r/_binary64`
1×	`div-inv_binary64` `div-exp_binary64`

Counts

4 → 104

Calls

4 calls:

16.0ms	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 (pow.f64 1.0 3) (pow.f64 eps 3))))
4.0ms	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 eps (-.f64 eps 1.0))))
4.0ms	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 eps (-.f64 eps 1.0))))
4.0ms	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 eps (-.f64 eps 1.0))))

series21.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 (pow.f64 1.0 3) (pow.f64 eps 3))))
5.0ms	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 eps (-.f64 eps 1.0))))
5.0ms	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 eps (-.f64 eps 1.0))))
5.0ms	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 eps (-.f64 eps 1.0))))

simplify63.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5029	2021

prune203.0ms

Filtered

73 candidates to 116 candidates (-58.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0.0b

Counts

119 → 3

regimes29.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	18
1	49	18

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s	3377×	body	1280	valid
621.0ms	2462×	body	640	valid
191.0ms	1268×	body	320	valid
66.0ms	700×	body	160	valid
8.0ms	193×	body	80	valid

Details

analyze4.0ms

sample87.0ms

simplify178.0ms

prune2.0ms

localize5.0ms

rewrite22.0ms

series9.0ms

simplify65.0ms

prune100.0ms

localize9.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune5.0ms

localize14.0ms

rewrite34.0ms

series16.0ms

simplify65.0ms

prune110.0ms

localize19.0ms

rewrite34.0ms

series21.0ms

simplify63.0ms

prune203.0ms

regimes29.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.5s

Profiling