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

sample183.0ms

Algorithm

intervals

Results

46.0ms	71×	body	5120	valid
31.0ms	398×	body	80	nan
29.0ms	58×	body	2560	valid
10.0ms	124×	body	80	invalid
9.0ms	23×	body	1280	valid
9.0ms	13×	body	5120	exit
7.0ms	80×	body	80	valid
3.0ms	10×	body	640	valid
2.0ms	8×	body	320	valid
1.0ms	2×	body	2560	invalid
1.0ms	6×	body	160	valid
1.0ms	3×	body	320	invalid
0.0ms	1×	body	1280	invalid
0.0ms	2×	body	160	invalid
0.0ms	1×	body	640	invalid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5515	42

prune17.0ms

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: 59.6b

Counts

2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

21.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
21.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
21.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
26.5b	(+.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))))

rewrite102.0ms

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)))
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))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
32.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
33.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
145.0ms	(+.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	4959	2700
1	4959	2700

prune113.0ms

Filtered

54 candidates to 155 candidates (-187.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Merged error: 30.6b

Counts

157 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

4.2b	(.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)

simplify49.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5176	78

prune52.0ms

Filtered

21 candidates to 31 candidates (-47.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	31	6	37

Merged error: 29.7b

Counts

37 → 6

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

6 alts after pruning (4 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	1	1
Total	6	6

Merged error: 29.7b

Counts

6 → 6

localize31.0ms

Local error

Found 4 expressions with local error:

14.2b	(sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))
15.1b	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
21.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
24.5b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

176×	`add-exp-log_binary64`
99×	`add-cbrt-cube_binary64`
97×	`prod-exp_binary64`
49×	`cbrt-unprod_binary64`
45×	`div-exp_binary64`
23×	`cbrt-undiv_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`pow-to-exp_binary64` `pow-exp_binary64`
11×	`*-un-lft-identity_binary64`
8×	`associate-/r*_binary64` `times-frac_binary64`
7×	`add-cube-cbrt_binary64`
5×	`pow1_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `difference-of-squares_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
2×	`distribute-lft-out--_binary64` `frac-sub_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 136

Calls

4 calls:

22.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))
36.0ms	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
11.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

series733.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))
504.0ms	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
32.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
32.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

simplify56.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5009	3491

prune113.0ms

Filtered

66 candidates to 148 candidates (-124.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	143	5	148
Fresh	2	1	3
Picked	1	0	1
Done	1	1	2
Total	147	7	154

Merged error: 28.6b

Counts

154 → 7

regimes790.0ms

Accuracy

0% (3.1b remaining)

Error of 33.5b against oracle of 30.5b and baseline of 33.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms

sample5.6s

Algorithm

intervals

Results

1.4s	2298×	body	5120	valid
1.0s	12757×	body	80	nan
874.0ms	1801×	body	2560	valid
346.0ms	551×	body	5120	exit
340.0ms	4168×	body	80	invalid
312.0ms	786×	body	1280	valid
201.0ms	2449×	body	80	valid
117.0ms	378×	body	640	valid
42.0ms	184×	body	320	valid
29.0ms	77×	body	1280	invalid
20.0ms	42×	body	2560	invalid
18.0ms	104×	body	160	valid
11.0ms	37×	body	640	invalid
7.0ms	27×	body	320	invalid
4.0ms	7×	body	5120	invalid
2.0ms	11×	body	160	invalid

Details

analyze1.9s

sample183.0ms

simplify44.0ms

prune17.0ms

localize20.0ms

rewrite102.0ms

series244.0ms

simplify60.0ms

prune113.0ms

localize5.0ms

rewrite8.0ms

series1.0ms

simplify49.0ms

prune52.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune19.0ms

localize31.0ms

rewrite90.0ms

series733.0ms

simplify56.0ms

prune113.0ms

regimes790.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.6s

Profiling