Details

analyze7.0ms

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

sample109.0ms

Algorithm

intervals

Results

59.0ms	98×	body	1280	valid
32.0ms	94×	body	640	valid
8.0ms	35×	body	320	valid
3.0ms	21×	body	160	valid
0.0ms	8×	body	80	valid

simplify160.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (157.0ms)

Iter	Nodes	Cost
0	4905	8
1	4905	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: 58.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
6.2b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite24.0ms

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:

9.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
12.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
6.0ms	(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

prune74.0ms

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 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 (pow.f64 eps 5) -2/5))
0.1b	(*.f64 (pow.f64 eps 5) -2/5)
0.1b	(*.f64 (pow.f64 eps 3) 2/3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-l_binary64`
13×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`add-log-exp_binary64` `unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`associate-r_binary64` `prod-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 70

Calls

3 calls:

7.0ms	(+.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 (pow.f64 eps 5) -2/5))
5.0ms	(*.f64 (pow.f64 eps 5) -2/5)
6.0ms	(*.f64 (pow.f64 eps 3) 2/3)

series16.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 (pow.f64 eps 5) -2/5))
5.0ms	(*.f64 (pow.f64 eps 5) -2/5)
4.0ms	(*.f64 (pow.f64 eps 3) 2/3)

simplify51.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5106	723

prune52.0ms

Filtered

55 candidates to 79 candidates (-43.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
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)))
6.0b	(log.f64 (-.f64 1 eps))
6.3b	(log.f64 (+.f64 1 eps))

rewrite20.0ms

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:

11.0ms	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
4.0ms	(log.f64 (-.f64 1 eps))
3.0ms	(log.f64 (+.f64 1 eps))

series12.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(-.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))

simplify65.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4883	681
1	4883	681

prune37.0ms

Filtered

52 candidates to 71 candidates (-36.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	72	2	74

Merged error: 0.0b

Counts

74 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 (.f64 1 1) (.f64 eps eps))) (*.f64 (log.f64 (+.f64 1 eps)) 2))
3.9b	(log.f64 (-.f64 (.f64 1 1) (.f64 eps eps)))
6.3b	(log.f64 (+.f64 1 eps))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

8.0ms	(-.f64 (log.f64 (-.f64 (.f64 1 1) (.f64 eps eps))) (*.f64 (log.f64 (+.f64 1 eps)) 2))
5.0ms	(log.f64 (-.f64 (.f64 1 1) (.f64 eps eps)))
4.0ms	(log.f64 (+.f64 1 eps))

series17.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(-.f64 (log.f64 (-.f64 (.f64 1 1) (.f64 eps eps))) (*.f64 (log.f64 (+.f64 1 eps)) 2))
6.0ms	(log.f64 (-.f64 (.f64 1 1) (.f64 eps eps)))
3.0ms	(log.f64 (+.f64 1 eps))

simplify47.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4924	664
1	4924	664

prune37.0ms

Filtered

49 candidates to 56 candidates (-14.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	56	2	58

Merged error: 0b

Counts

58 → 2

regimes14.0ms

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	3405×	body	1280	valid
629.0ms	2483×	body	640	valid
189.0ms	1253×	body	320	valid
60.0ms	653×	body	160	valid
9.0ms	206×	body	80	valid

Details

analyze7.0ms

sample109.0ms

simplify160.0ms

prune2.0ms

localize5.0ms

rewrite24.0ms

series9.0ms

simplify54.0ms

prune74.0ms

localize9.0ms

rewrite20.0ms

series16.0ms

simplify51.0ms

prune52.0ms

localize6.0ms

rewrite20.0ms

series12.0ms

simplify65.0ms

prune37.0ms

localize9.0ms

rewrite18.0ms

series17.0ms

simplify47.0ms

prune37.0ms

regimes14.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.6s

Profiling