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

sample80.0ms

Algorithm

intervals

Results

44.0ms	98×	body	1280	valid
21.0ms	88×	body	640	valid
6.0ms	40×	body	320	valid
2.0ms	24×	body	160	valid
0.0ms	6×	body	80	valid

simplify162.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (159.0ms)

Iter	Nodes	Cost
0	4905	8
1	4905	8

prune6.0ms

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: 58.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`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 → 92

Calls

2 calls:

8.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

simplify54.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5415	1237

prune102.0ms

Filtered

60 candidates to 98 candidates (-63.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	3	99

Merged error: 0.0b

Counts

99 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (pow.f64 eps 5) -2/5)
0.1b	(*.f64 (pow.f64 eps 3) 2/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`associate-l_binary64`
12×	`add-exp-log_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-r_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`unpow3_binary64` `cube-mult_binary64`

Counts

2 → 56

Calls

2 calls:

5.0ms	(*.f64 (pow.f64 eps 5) -2/5)
6.0ms	(*.f64 (pow.f64 eps 3) 2/3)

series9.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 (pow.f64 eps 5) -2/5)
4.0ms	(*.f64 (pow.f64 eps 3) 2/3)

simplify58.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4873	400
1	4873	400

prune62.0ms

Filtered

42 candidates to 62 candidates (-47.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Merged error: 0.0b

Counts

65 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (pow.f64 eps 5) -2/5)
0.1b	(*.f64 2/3 (pow.f64 eps 3))
2.1b	(log.f64 (exp.f64 (*.f64 2/3 (pow.f64 eps 3))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
13×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-l_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `sqr-pow_binary64` `cube-prod_binary64`
3×	`log-prod_binary64` `log-pow_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`rem-log-exp_binary64` `exp-to-pow_binary64` `unpow3_binary64` `exp-prod_binary64` `cube-mult_binary64`

Counts

3 → 70

Calls

3 calls:

5.0ms	(*.f64 (pow.f64 eps 5) -2/5)
6.0ms	(*.f64 2/3 (pow.f64 eps 3))
2.0ms	(log.f64 (exp.f64 (*.f64 2/3 (pow.f64 eps 3))))

series13.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 (pow.f64 eps 5) -2/5)
4.0ms	(*.f64 2/3 (pow.f64 eps 3))
4.0ms	(log.f64 (exp.f64 (*.f64 2/3 (pow.f64 eps 3))))

simplify43.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4908	502
1	4908	502

prune74.0ms

Filtered

51 candidates to 79 candidates (-54.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	79	3	82

Merged error: 0.0b

Counts

82 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
6.4b	(log.f64 (+.f64 1 eps))
6.5b	(log.f64 (-.f64 1 eps))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
20×	`log-prod_binary64`
15×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`log-div_binary64`
7×	`add-cube-cbrt_binary64`
6×	`log-pow_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
5×	`add-exp-log_binary64` `difference-of-squares_binary64`
4×	`associate--r+_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `rem-log-exp_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 62

Calls

3 calls:

10.0ms	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
3.0ms	(log.f64 (+.f64 1 eps))
4.0ms	(log.f64 (-.f64 1 eps))

series12.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
3.0ms	(log.f64 (+.f64 1 eps))
3.0ms	(log.f64 (-.f64 1 eps))

simplify70.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4883	681
1	4883	681

prune60.0ms

Filtered

52 candidates to 71 candidates (-36.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	71	3	74

Merged error: 0b

Counts

74 → 3

regimes27.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	15
1	43	15

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.6s	3457×	body	1280	valid
634.0ms	2462×	body	640	valid
189.0ms	1231×	body	320	valid
62.0ms	651×	body	160	valid
9.0ms	199×	body	80	valid

Details

analyze4.0ms

sample80.0ms

simplify162.0ms

prune6.0ms

localize6.0ms

rewrite20.0ms

series8.0ms

simplify54.0ms

prune102.0ms

localize9.0ms

rewrite13.0ms

series9.0ms

simplify58.0ms

prune62.0ms

localize11.0ms

rewrite15.0ms

series13.0ms

simplify43.0ms

prune74.0ms

localize6.0ms

rewrite18.0ms

series12.0ms

simplify70.0ms

prune60.0ms

regimes27.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.6s

Profiling