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

sample186.0ms

Algorithm

intervals

Results

40.0ms	69×	body	5120	valid
34.0ms	409×	body	80	nan
24.0ms	50×	body	2560	valid
11.0ms	29×	body	1280	valid
11.0ms	140×	body	80	invalid
8.0ms	12×	body	5120	exit
6.0ms	21×	body	640	valid
6.0ms	76×	body	80	valid
5.0ms	4×	body	1280	invalid
2.0ms	7×	body	320	valid
1.0ms	4×	body	320	invalid
1.0ms	4×	body	160	valid
1.0ms	2×	body	640	invalid
0.0ms	1×	body	2560	invalid
0.0ms	3×	body	160	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5514	42

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 59.1b

Counts

2 → 1

localize34.0ms

Local error

Found 4 expressions with local error:

17.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
25.5b	(+.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))))

rewrite128.0ms

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)))
77.0ms	(+.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))))

series227.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/.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)))
113.0ms	(+.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 (40.0ms)

Iter	Nodes	Cost
0	4954	2695
1	4954	2695

prune82.0ms

Filtered

54 candidates to 155 candidates (-187.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	150	6	156

Merged error: 34.2b

Counts

156 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.f64 c0 (*.f64 2 w))
5.7b	(.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)

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4966	224
1	4966	224

prune47.0ms

Filtered

37 candidates to 55 candidates (-48.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	55	6	61

Merged error: 32.6b

Counts

61 → 6

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

prune19.0ms

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: 32.6b

Counts

6 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

15.7b	(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)))
15.8b	(/.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)))))
17.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
22.9b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite91.0ms

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:

19.0ms	(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)))
39.0ms	(/.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)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(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)))
266.0ms	(/.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)))))
38.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
30.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

simplify51.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5011	3491

prune92.0ms

Filtered

66 candidates to 148 candidates (-124.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	144	4	148
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	146	8	154

Merged error: 32.0b

Counts

154 → 8

regimes641.0ms

Accuracy

0% (3.3b remaining)

Error of 33.9b against oracle of 30.5b and baseline of 33.9b

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

1.3s	2275×	body	5120	valid
1.0s	12605×	body	80	nan
808.0ms	1680×	body	2560	valid
369.0ms	581×	body	5120	exit
360.0ms	4388×	body	80	invalid
332.0ms	847×	body	1280	valid
202.0ms	2487×	body	80	valid
126.0ms	412×	body	640	valid
51.0ms	203×	body	320	valid
23.0ms	49×	body	2560	invalid
22.0ms	58×	body	1280	invalid
16.0ms	96×	body	160	valid
14.0ms	46×	body	640	invalid
6.0ms	25×	body	320	invalid
3.0ms	19×	body	160	invalid
1.0ms	2×	body	5120	invalid

Details

analyze1.9s

sample186.0ms

simplify41.0ms

prune15.0ms

localize34.0ms

rewrite128.0ms

series227.0ms

simplify60.0ms

prune82.0ms

localize5.0ms

rewrite13.0ms

series4.0ms

simplify38.0ms

prune47.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify4.0ms

prune19.0ms

localize28.0ms

rewrite91.0ms

series493.0ms

simplify51.0ms

prune92.0ms

regimes641.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.6s

Profiling