Details

analyze2.2s

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

sample200.0ms

Algorithm

intervals

Results

48.0ms	72×	body	5120	valid
35.0ms	405×	body	80	nan
31.0ms	61×	body	2560	valid
15.0ms	23×	body	5120	exit
12.0ms	144×	body	80	invalid
9.0ms	21×	body	1280	valid
7.0ms	79×	body	80	valid
4.0ms	13×	body	640	valid
2.0ms	4×	body	1280	invalid
1.0ms	5×	body	320	valid
1.0ms	5×	body	160	valid
1.0ms	1×	body	2560	invalid
0.0ms	1×	body	320	invalid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

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: 59.2b

Counts

2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
27.3b	(+.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))))

rewrite94.0ms

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:

13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
44.0ms	(+.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))))

series652.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
107.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
109.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
330.0ms	(+.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))))

simplify84.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5664	4082

prune111.0ms

Filtered

54 candidates to 155 candidates (-187.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	148	7	155
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	149	8	157

Merged error: 30.8b

Counts

157 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

3.0b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite8.0ms

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:

7.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify73.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4936	110
1	4936	110

prune29.0ms

Filtered

21 candidates to 31 candidates (-47.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	31	8	39

Merged error: 29.5b

Counts

39 → 8

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify12.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune11.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	0	0
Total	8	8

Merged error: 29.5b

Counts

8 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.8b	(/.f64 (.f64 (.f64 w h) (.f64 D D)) (.f64 c0 (*.f64 d d)))
30.0b	(+.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))))

rewrite105.0ms

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:

13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.0ms	(/.f64 (.f64 (.f64 w h) (.f64 D D)) (.f64 c0 (*.f64 d d)))
52.0ms	(+.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))))

series898.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
105.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
116.0ms	(/.f64 (.f64 (.f64 w h) (.f64 D D)) (.f64 c0 (*.f64 d d)))
565.0ms	(+.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))))

simplify95.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5171	4272

prune88.0ms

Filtered

55 candidates to 156 candidates (-183.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	153	3	156
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	155	9	164

Merged error: 29.5b

Counts

164 → 9

regimes212.0ms

Accuracy

0% (2.3b remaining)

Error of 33.9b against oracle of 31.5b and baseline of 33.9b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms

sample6.3s

Algorithm

intervals

Results

1.5s	2213×	body	5120	valid
1.2s	13012×	body	80	nan
935.0ms	1748×	body	2560	valid
430.0ms	613×	body	5120	exit
402.0ms	4329×	body	80	invalid
366.0ms	836×	body	1280	valid
226.0ms	2478×	body	80	valid
145.0ms	412×	body	640	valid
54.0ms	210×	body	320	valid
25.0ms	58×	body	1280	invalid
18.0ms	103×	body	160	valid
18.0ms	32×	body	2560	invalid
15.0ms	44×	body	640	invalid
9.0ms	33×	body	320	invalid
5.0ms	8×	body	5120	invalid
2.0ms	9×	body	160	invalid

Details

analyze2.2s

sample200.0ms

simplify69.0ms

prune6.0ms

localize20.0ms

rewrite94.0ms

series652.0ms

simplify84.0ms

prune111.0ms

localize5.0ms

rewrite8.0ms

series2.0ms

simplify73.0ms

prune29.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify12.0ms

prune11.0ms

localize26.0ms

rewrite105.0ms

series898.0ms

simplify95.0ms

prune88.0ms

regimes212.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample6.3s

Profiling