Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample62.0ms

Algorithm

intervals

Results

39.0ms	75×	body	1280	valid
11.0ms	48×	body	640	valid
3.0ms	101×	body	80	valid
3.0ms	22×	body	320	valid
1.0ms	10×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

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: 36.3b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

2.9b	(log.f64 (+.f64 1.0 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `log-prod_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1.0 x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(log.f64 (+.f64 1.0 x))

simplify64.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4934	144
1	4934	144

prune36.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	12	6	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	13	6	19

Merged error: 0.1b

Counts

19 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0)))
0.0b	(-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `pow1_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `div-exp_binary64`
3×	`associate-r/_binary64` `associate-l*_binary64`
2×	`diff-log_binary64` `unswap-sqr_binary64` `times-frac_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 45

Calls

2 calls:

9.0ms	(.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0)))
8.0ms	(-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))

series9.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0)))
5.0ms	(-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))

simplify24.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5365	674

prune61.0ms

Filtered

32 candidates to 51 candidates (-59.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	50	7	57

Merged error: 0.1b

Counts

57 → 7

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1.0 x))
0.0b	(sqrt.f64 (+.f64 1.0 x))
2.9b	(log.f64 (sqrt.f64 (+.f64 1.0 x)))
2.9b	(log.f64 (sqrt.f64 (+.f64 1.0 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
16×	`sqrt-prod_binary64`
14×	`log-prod_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64`
8×	`sqrt-div_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1/2_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `log-div_binary64` `flip-+_binary64`
2×	`rem-log-exp_binary64` `rem-sqrt-square_binary64`

Counts

4 → 72

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 1.0 x))
3.0ms	(sqrt.f64 (+.f64 1.0 x))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 x)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 x)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt.f64 (+.f64 1.0 x))
5.0ms	(sqrt.f64 (+.f64 1.0 x))
11.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 x)))
8.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5007	848

prune94.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0.1b

Counts

91 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 1.0 x))
2.8b	(log.f64 (sqrt.f64 (cbrt.f64 (+.f64 1.0 x))))
2.9b	(log.f64 (sqrt.f64 (+.f64 1.0 x)))
3.0b	(log.f64 (fabs.f64 (cbrt.f64 (+.f64 1.0 x))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`log-prod_binary64`
17×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
9×	`pow1_binary64`
8×	`log-pow_binary64` `cbrt-prod_binary64`
7×	`add-exp-log_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `log-div_binary64` `sqrt-div_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `sqrt-pow1_binary64` `flip-+_binary64`
2×	`pow1/2_binary64` `pow1/3_binary64`

Counts

4 → 70

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 1.0 x))
5.0ms	(log.f64 (sqrt.f64 (cbrt.f64 (+.f64 1.0 x))))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 x)))
1.0ms	(log.f64 (fabs.f64 (cbrt.f64 (+.f64 1.0 x))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt.f64 (+.f64 1.0 x))
9.0ms	(log.f64 (sqrt.f64 (cbrt.f64 (+.f64 1.0 x))))
8.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 x)))
18.0ms	(log.f64 (fabs.f64 (cbrt.f64 (+.f64 1.0 x))))

simplify81.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4917	828
1	4917	828

prune94.0ms

Filtered

62 candidates to 82 candidates (-32.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	81	8	89

Merged error: 0.1b

Counts

89 → 8

regimes178.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.8b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	33
1	63	33

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2189×	body	1280	valid
389.0ms	1714×	body	640	valid
99.0ms	845×	body	320	valid
75.0ms	2836×	body	80	valid
29.0ms	416×	body	160	valid

Details

analyze2.0ms

sample62.0ms

simplify5.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series4.0ms

simplify64.0ms

prune36.0ms

localize9.0ms

rewrite19.0ms

series9.0ms

simplify24.0ms

prune61.0ms

localize5.0ms

rewrite17.0ms

series29.0ms

simplify48.0ms

prune94.0ms

localize12.0ms

rewrite16.0ms

series44.0ms

simplify81.0ms

prune94.0ms

regimes178.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample1.7s

Profiling