Details

analyze1.9s

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

sample180.0ms

Algorithm

intervals

Results

41.0ms	69×	body	5120	valid
33.0ms	371×	body	80	nan
26.0ms	52×	body	2560	valid
11.0ms	139×	body	80	invalid
11.0ms	27×	body	1280	valid
10.0ms	16×	body	5120	exit
6.0ms	80×	body	80	valid
4.0ms	14×	body	640	valid
2.0ms	8×	body	320	valid
2.0ms	3×	body	2560	invalid
1.0ms	6×	body	160	valid
1.0ms	2×	body	640	invalid
0.0ms	1×	body	320	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5514	42

prune14.0ms

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: 58.2b

Counts

2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

17.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
26.0b	(+.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))))

rewrite101.0ms

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)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
47.0ms	(+.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))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
37.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
36.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
120.0ms	(+.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))))

simplify60.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4954	2695
1	4954	2695

prune91.0ms

Filtered

54 candidates to 155 candidates (-187.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	150	7	157

Merged error: 32.2b

Counts

157 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.f64 c0 (*.f64 2 w))
5.2b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
6×	`times-frac_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-r_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `mul0-rgt_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

5.0ms	(/.f64 c0 (*.f64 2 w))
7.0ms	(.f64 (/.f64 c0 (.f64 2 w)) 0)

series4.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 c0 (*.f64 2 w))
1.0ms	(.f64 (/.f64 c0 (.f64 2 w)) 0)

simplify40.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4966	224
1	4966	224

prune45.0ms

Filtered

37 candidates to 55 candidates (-48.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	55	7	62

Merged error: 30.4b

Counts

62 → 7

localize0.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune19.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	1	1
Total	7	7

Merged error: 30.4b

Counts

7 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

17.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.5b	(/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))
35.6b	(+.f64 (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.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))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

207×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
107×	`cbrt-unprod_binary64` `prod-exp_binary64`
52×	`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` `associate-/l/_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 142

Calls

4 calls:

14.0ms	(/.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)))
13.0ms	(/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))
50.0ms	(+.f64 (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.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))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
36.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
44.0ms	(/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))
187.0ms	(+.f64 (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.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))))

simplify51.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5014	2725

prune44.0ms

Filtered

54 candidates to 154 candidates (-185.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	151	3	154
Fresh	0	4	4
Picked	0	1	1
Done	1	1	2
Total	152	9	161

Merged error: 30.3b

Counts

161 → 9

regimes691.0ms

Accuracy

0% (2.3b remaining)

Error of 33.7b against oracle of 31.3b and baseline of 33.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms

sample5.7s

Algorithm

intervals

Results

1.4s	2297×	body	5120	valid
1.0s	12886×	body	80	nan
835.0ms	1695×	body	2560	valid
358.0ms	554×	body	5120	exit
352.0ms	4288×	body	80	invalid
336.0ms	838×	body	1280	valid
201.0ms	2428×	body	80	valid
130.0ms	417×	body	640	valid
51.0ms	212×	body	320	valid
29.0ms	61×	body	2560	invalid
27.0ms	68×	body	1280	invalid
19.0ms	113×	body	160	valid
17.0ms	56×	body	640	invalid
6.0ms	26×	body	320	invalid
4.0ms	7×	body	5120	invalid
2.0ms	15×	body	160	invalid

Details

analyze1.9s

sample180.0ms

simplify41.0ms

prune14.0ms

localize19.0ms

rewrite101.0ms

series229.0ms

simplify60.0ms

prune91.0ms

localize5.0ms

rewrite13.0ms

series4.0ms

simplify40.0ms

prune45.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune19.0ms

localize22.0ms

rewrite101.0ms

series302.0ms

simplify51.0ms

prune44.0ms

regimes691.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.7s

Profiling