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

sample146.0ms

Algorithm

intervals

Results

100.0ms	143×	body	1024	valid
21.0ms	66×	body	512	valid
9.0ms	9×	body	2048	valid
4.0ms	256×	pre	128	true
4.0ms	27×	body	256	valid
1.0ms	11×	body	128	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	14
1	45	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: 62.6b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.3b	(log.f64 (+.f64 1 x))
4.5b	(log.f64 (-.f64 1 x))

rewrite19.0ms

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:

7.0ms	(/.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))

series182.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
25.0ms	(log.f64 (+.f64 1 x))
26.0ms	(log.f64 (-.f64 1 x))

simplify252.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5117	1554

prune76.0ms

Filtered

55 candidates to 79 candidates (-43.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	2	80

Merged error: 0b

Counts

80 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x x) 1/2)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x x) 1/2)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(*.f64 (*.f64 x x) 1/2)

simplify51.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4999	181
1	4999	181

prune13.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Merged error: 0b

Counts

24 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
0.0b	(/.f64 1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))))
4.3b	(log.f64 (+.f64 1 x))
4.5b	(log.f64 (-.f64 1 x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac_binary64`
78×	`*-un-lft-identity_binary64`
76×	`add-sqr-sqrt_binary64`
73×	`add-cube-cbrt_binary64`
49×	`pow1_binary64`
44×	`log-pow_binary64`
24×	`associate-/r*_binary64`
16×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
10×	`log-prod_binary64`
7×	`associate-/l*_binary64`
6×	`div-inv_binary64` `log-div_binary64`
5×	`div-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64`
2×	`flip3-+_binary64` `rem-log-exp_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `rec-exp_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `inv-pow_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

4 → 172

Calls

4 calls:

6.0ms	(/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
8.0ms	(/.f64 1 (/.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))

series292.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
121.0ms	(/.f64 1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))))
23.0ms	(log.f64 (+.f64 1 x))
24.0ms	(log.f64 (-.f64 1 x))

simplify85.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5188	4546

prune136.0ms

Filtered

104 candidates to 184 candidates (-76.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	184	2	186

Merged error: 0b

Counts

186 → 2

regimes8.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.7s	3951×	body	1024	valid
649.0ms	2035×	body	512	valid
357.0ms	393×	body	2048	valid
157.0ms	1031×	body	256	valid
129.0ms	8000×	pre	128	true
38.0ms	590×	body	128	valid

Details

analyze1.3s

sample146.0ms

simplify9.0ms

prune1.0ms

localize9.0ms

rewrite19.0ms

series182.0ms

simplify252.0ms

prune76.0ms

localize5.0ms

rewrite7.0ms

series43.0ms

simplify51.0ms

prune13.0ms

localize7.0ms

rewrite39.0ms

series292.0ms

simplify85.0ms

prune136.0ms

regimes8.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.2s

Profiling