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

sample104.0ms

Algorithm

intervals

Results

67.0ms	122×	body	1280	valid
22.0ms	76×	body	640	valid
6.0ms	35×	body	320	valid
2.0ms	20×	body	160	valid
0.0ms	3×	body	80	valid

simplify243.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (240.0ms)

Iter	Nodes	Cost
0	4889	12
1	4889	12

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: 59.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1.0 x) (-.f64 1.0 x))
5.2b	(log.f64 (/.f64 (+.f64 1.0 x) (-.f64 1.0 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64`
41×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
26×	`log-prod_binary64`
23×	`add-cube-cbrt_binary64`
11×	`distribute-lft-out_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
5×	`associate-/r*_binary64`
4×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 82

Calls

2 calls:

8.0ms	(/.f64 (+.f64 1.0 x) (-.f64 1.0 x))
7.0ms	(log.f64 (/.f64 (+.f64 1.0 x) (-.f64 1.0 x)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 (+.f64 1.0 x) (-.f64 1.0 x))
7.0ms	(log.f64 (/.f64 (+.f64 1.0 x) (-.f64 1.0 x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5006	1111

prune106.0ms

Filtered

58 candidates to 88 candidates (-51.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	4	89

Merged error: 0.1b

Counts

89 → 4

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.1b

Counts

4 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 1.0 x))
0.0b	(*.f64 (+.f64 1.0 x) (/.f64 1 (-.f64 1.0 x)))
5.2b	(log.f64 (*.f64 (+.f64 1.0 x) (/.f64 1 (-.f64 1.0 x))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
40×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
26×	`add-exp-log_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
10×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`prod-exp_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`div-exp_binary64` `log-div_binary64`
5×	`associate-/r*_binary64` `rem-log-exp_binary64`
4×	`flip3-+_binary64` `associate-/r/_binary64` `associate-l_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `log-pow_binary64` `un-div-inv_binary64` `div-inv_binary64` `flip--_binary64`
1×	`distribute-lft-out_binary64` `log-prod_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

3 → 111

Calls

3 calls:

6.0ms	(/.f64 1 (-.f64 1.0 x))
13.0ms	(*.f64 (+.f64 1.0 x) (/.f64 1 (-.f64 1.0 x)))
10.0ms	(log.f64 (*.f64 (+.f64 1.0 x) (/.f64 1 (-.f64 1.0 x))))

series14.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(/.f64 1 (-.f64 1.0 x))
6.0ms	(*.f64 (+.f64 1.0 x) (/.f64 1 (-.f64 1.0 x)))
6.0ms	(log.f64 (*.f64 (+.f64 1.0 x) (/.f64 1 (-.f64 1.0 x))))

simplify61.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4980	1070
1	4980	1070

prune97.0ms

Filtered

74 candidates to 120 candidates (-62.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	120	4	124

Merged error: 0.0b

Counts

124 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (log.f64 (+.f64 1.0 x)) (log.f64 (/.f64 1 (-.f64 1.0 x))))
0.0b	(/.f64 1 (-.f64 1.0 x))
5.3b	(log.f64 (+.f64 1.0 x))
5.3b	(log.f64 (/.f64 1 (-.f64 1.0 x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64`
54×	`add-sqr-sqrt_binary64`
50×	`log-prod_binary64`
45×	`times-frac_binary64`
34×	`add-cube-cbrt_binary64`
21×	`associate-+r+_binary64`
14×	`add-exp-log_binary64`
12×	`pow1_binary64`
10×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
8×	`log-pow_binary64`
6×	`distribute-lft-out_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64` `log-div_binary64`
5×	`associate-/r*_binary64` `rem-log-exp_binary64`
4×	`add-log-exp_binary64` `associate-+l+_binary64` `div-exp_binary64`
3×	`flip3-+_binary64` `flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64` `flip-+_binary64`
2×	`log-rec_binary64` `1-exp_binary64` `associate-+l-_binary64` `inv-pow_binary64` `rec-exp_binary64` `pow-flip_binary64`
1×	`associate-+r-_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `unsub-neg_binary64` `sum-log_binary64`

Counts

4 → 137

Calls

4 calls:

12.0ms	(+.f64 (log.f64 (+.f64 1.0 x)) (log.f64 (/.f64 1 (-.f64 1.0 x))))
6.0ms	(/.f64 1 (-.f64 1.0 x))
3.0ms	(log.f64 (+.f64 1.0 x))
6.0ms	(log.f64 (/.f64 1 (-.f64 1.0 x)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+.f64 (log.f64 (+.f64 1.0 x)) (log.f64 (/.f64 1 (-.f64 1.0 x))))
2.0ms	(/.f64 1 (-.f64 1.0 x))
3.0ms	(log.f64 (+.f64 1.0 x))
5.0ms	(log.f64 (/.f64 1 (-.f64 1.0 x)))

simplify75.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4888	1386
1	4888	1386

prune128.0ms

Filtered

97 candidates to 149 candidates (-53.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	150	3	153

Merged error: 0.0b

Counts

153 → 3

regimes27.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	24
1	44	24

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.7s	3377×	body	1280	valid
703.0ms	2463×	body	640	valid
227.0ms	1266×	body	320	valid
76.0ms	699×	body	160	valid
10.0ms	195×	body	80	valid

Details

analyze4.0ms

sample104.0ms

simplify243.0ms

prune2.0ms

localize7.0ms

rewrite18.0ms

series10.0ms

simplify53.0ms

prune106.0ms

localize12.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune7.0ms

localize8.0ms

rewrite33.0ms

series14.0ms

simplify61.0ms

prune97.0ms

localize10.0ms

rewrite32.0ms

series19.0ms

simplify75.0ms

prune128.0ms

regimes27.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.8s

Profiling