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

sample184.0ms

Algorithm

intervals

Results

47.0ms	82×	body	5120	valid
32.0ms	407×	body	80	nan
22.0ms	47×	body	2560	valid
15.0ms	19×	body	5120	exit
11.0ms	146×	body	80	invalid
10.0ms	26×	body	1280	valid
7.0ms	87×	body	80	valid
2.0ms	8×	body	640	valid
1.0ms	3×	body	1280	invalid
1.0ms	4×	body	320	valid
1.0ms	2×	body	640	invalid
1.0ms	2×	body	160	valid
0.0ms	1×	body	2560	invalid
0.0ms	2×	body	160	invalid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5515	42

prune15.0ms

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: 60.0b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

18.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.1b	(+.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))))

rewrite103.0ms

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)))
18.0ms	(/.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)))
49.0ms	(+.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))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
39.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
41.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
123.0ms	(+.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))))

simplify64.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4954	2695
1	4954	2695

prune124.0ms

Filtered

54 candidates to 155 candidates (-187.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	149	8	157

Merged error: 35.3b

Counts

157 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

6.2b	(.f64 (/.f64 c0 (.f64 2.0 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 2.0 w)) 0)

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

(*.f64 (/.f64 c0 (*.f64 2.0 w)) 0)

simplify47.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5176	78

prune62.0ms

Filtered

21 candidates to 31 candidates (-47.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	31	8	39

Merged error: 33.3b

Counts

39 → 8

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune30.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	1	1
Total	8	8

Merged error: 33.3b

Counts

8 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

17.3b	(/.f64 (.f64 d d) (.f64 D D))
18.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
34.7b	(+.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.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))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

154×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
82×	`cbrt-unprod_binary64` `prod-exp_binary64`
34×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`add-log-exp_binary64` `frac-add_binary64` `sqrt-div_binary64`
4×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 124

Calls

4 calls:

7.0ms	(/.f64 (.f64 d d) (.f64 D D))
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)))
45.0ms	(+.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.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))))

series287.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/.f64 (.f64 d d) (.f64 D D))
38.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
40.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
202.0ms	(+.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.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))))

simplify62.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5028	2550

prune84.0ms

Filtered

57 candidates to 136 candidates (-138.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	129	7	136
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	132	12	144

Merged error: 32.6b

Counts

144 → 12

regimes1.2s

Accuracy

57.8% (1.0b remaining)

Error of 32.0b against oracle of 31.0b and baseline of 33.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	108
1	48	108

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.4s	2295×	body	5120	valid
972.0ms	12383×	body	80	nan
828.0ms	1733×	body	2560	valid
348.0ms	4305×	body	80	invalid
341.0ms	550×	body	5120	exit
332.0ms	862×	body	1280	valid
194.0ms	2447×	body	80	valid
123.0ms	411×	body	640	valid
40.0ms	175×	body	320	valid
22.0ms	59×	body	1280	invalid
21.0ms	44×	body	2560	invalid
14.0ms	48×	body	640	invalid
12.0ms	77×	body	160	valid
6.0ms	26×	body	320	invalid
3.0ms	19×	body	160	invalid
2.0ms	4×	body	5120	invalid

Details

analyze1.9s

sample184.0ms

simplify43.0ms

prune15.0ms

localize18.0ms

rewrite103.0ms

series243.0ms

simplify64.0ms

prune124.0ms

localize5.0ms

rewrite8.0ms

series1.0ms

simplify47.0ms

prune62.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify4.0ms

prune30.0ms

localize23.0ms

rewrite86.0ms

series287.0ms

simplify62.0ms

prune84.0ms

regimes1.2s

bsearch2.0ms

simplify2.0ms

end0.0ms

sample5.5s

Profiling