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

sample151.0ms

Algorithm

intervals

Results

88.0ms	94×	body	1280	valid
37.0ms	81×	body	640	valid
10.0ms	45×	body	320	valid
4.0ms	256×	pre	80	true
4.0ms	30×	body	160	valid
0.0ms	6×	body	80	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	46	14
1	46	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: 60.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
7.1b	(log.f64 (+.f64 1 x))
7.1b	(log.f64 (-.f64 1 x))

rewrite15.0ms

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:

6.0ms	(/.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))

series93.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
13.0ms	(log.f64 (+.f64 1 x))
14.0ms	(log.f64 (-.f64 1 x))

simplify68.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5103	1554

prune70.0ms

Filtered

55 candidates to 79 candidates (-43.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	3	80

Merged error: 0b

Counts

80 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5002	181

prune13.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	22	3	25

Merged error: 0b

Counts

25 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
4.5b	(log.f64 (-.f64 1 (*.f64 x x)))
7.1b	(log.f64 (-.f64 1 x))
7.1b	(log.f64 (-.f64 1 x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64`
38×	`add-sqr-sqrt_binary64`
36×	`pow1_binary64`
32×	`log-pow_binary64` `times-frac_binary64`
22×	`distribute-lft-out--_binary64`
21×	`add-cube-cbrt_binary64`
17×	`log-prod_binary64`
11×	`difference-of-squares_binary64`
9×	`add-exp-log_binary64`
8×	`associate-/r*_binary64` `log-div_binary64`
6×	`add-cbrt-cube_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `associate-/l*_binary64`
3×	`rem-log-exp_binary64`
2×	`associate-/r/_binary64` `div-sub_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 110

Calls

4 calls:

10.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))

series134.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
32.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
12.0ms	(log.f64 (-.f64 1 x))
12.0ms	(log.f64 (-.f64 1 x))

simplify88.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5221	3253

prune106.0ms

Filtered

77 candidates to 122 candidates (-58.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	122	3	125

Merged error: 0b

Counts

125 → 3

regimes16.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.0s	3378×	body	1280	valid
1.1s	2517×	body	640	valid
292.0ms	1285×	body	320	valid
134.0ms	8000×	pre	80	true
77.0ms	593×	body	160	valid
13.0ms	227×	body	80	valid

Details

analyze1.3s

sample151.0ms

simplify13.0ms

prune1.0ms

localize6.0ms

rewrite15.0ms

series93.0ms

simplify68.0ms

prune70.0ms

localize5.0ms

rewrite6.0ms

series18.0ms

simplify66.0ms

prune13.0ms

localize9.0ms

rewrite24.0ms

series134.0ms

simplify88.0ms

prune106.0ms

regimes16.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample4.8s

Profiling