Details

analyze1.8s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

sample176.0ms

Algorithm

intervals

Results

45.0ms	86×	body	4096	valid
30.0ms	389×	body	128	nan
19.0ms	29×	body	8192	valid
15.0ms	152×	body	128	invalid
14.0ms	35×	body	2048	valid
6.0ms	19×	body	1024	valid
6.0ms	71×	body	128	valid
4.0ms	15×	body	512	valid
1.0ms	3×	body	2048	invalid
1.0ms	3×	body	512	invalid
1.0ms	1×	body	4096	invalid
1.0ms	1×	body	1024	invalid
0.0ms	1×	body	256	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5500	63

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 59.5b

Counts

2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

15.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.8b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
117×	`cbrt-unprod_binary64` `prod-exp_binary64`
45×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`
2×	`frac-add_binary64` `sqrt-div_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 143

Calls

4 calls:

14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
51.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

series1.1s

Counts

4 → 12

Calls

4 calls:

193.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
183.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
186.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
525.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

simplify75.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5663	4082

prune116.0ms

Filtered

54 candidates to 155 candidates (-187.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	151	6	157

Merged error: 33.5b

Counts

157 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

7.9b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
3×	`pow1_binary64` `associate-r_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `mul0-rgt_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

1 → 28

Calls

1 calls:

8.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

simplify59.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4934	110
1	4934	110

prune29.0ms

Filtered

21 candidates to 31 candidates (-47.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	31	6	37

Merged error: 29.8b

Counts

37 → 6

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify6.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Merged error: 29.8b

Counts

6 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

15.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.3b	(/.f64 (.f64 (.f64 w h) (.f64 D D)) (.f64 c0 (*.f64 d d)))
33.9b	(+.f64 (/.f64 1 (/.f64 (.f64 (.f64 w h) (.f64 D D)) (.f64 c0 (.f64 d d)))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
117×	`cbrt-unprod_binary64` `prod-exp_binary64`
45×	`cbrt-undiv_binary64` `div-exp_binary64`
7×	`*-un-lft-identity_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `div-inv_binary64`
3×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64`
2×	`distribute-lft-out_binary64` `frac-add_binary64` `sqrt-div_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 144

Calls

4 calls:

15.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 (.f64 w h) (.f64 D D)) (.f64 c0 (*.f64 d d)))
61.0ms	(+.f64 (/.f64 1 (/.f64 (.f64 (.f64 w h) (.f64 D D)) (.f64 c0 (.f64 d d)))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

series1.5s

Counts

4 → 12

Calls

4 calls:

191.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
181.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
187.0ms	(/.f64 (.f64 (.f64 w h) (.f64 D D)) (.f64 c0 (*.f64 d d)))
980.0ms	(+.f64 (/.f64 1 (/.f64 (.f64 (.f64 w h) (.f64 D D)) (.f64 c0 (.f64 d d)))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

simplify82.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5170	4272

prune88.0ms

Filtered

54 candidates to 156 candidates (-188.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	156	6	162

Merged error: 29.8b

Counts

162 → 6

regimes168.0ms

Accuracy

0% (2.1b remaining)

Error of 31.5b against oracle of 29.4b and baseline of 31.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.1s	2158×	body	4096	valid
935.0ms	11970×	body	128	nan
766.0ms	1170×	body	8192	valid
504.0ms	1256×	body	2048	valid
320.0ms	4056×	body	128	invalid
210.0ms	648×	body	1024	valid
183.0ms	2348×	body	128	valid
70.0ms	302×	body	512	valid
25.0ms	65×	body	2048	invalid
18.0ms	118×	body	256	valid
17.0ms	55×	body	1024	invalid
8.0ms	34×	body	512	invalid
7.0ms	14×	body	4096	invalid
6.0ms	8×	body	8192	exit
3.0ms	17×	body	256	invalid

Details

analyze1.8s

sample176.0ms

simplify54.0ms

prune6.0ms

localize22.0ms

rewrite131.0ms

series1.1s

simplify75.0ms

prune116.0ms

localize5.0ms

rewrite10.0ms

series4.0ms

simplify59.0ms

prune29.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify6.0ms

prune8.0ms

localize22.0ms

rewrite143.0ms

series1.5s

simplify82.0ms

prune88.0ms

regimes168.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.1s

Profiling