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

sample188.0ms

Algorithm

intervals

Results

49.0ms	84×	body	5120	valid
31.0ms	393×	body	80	nan
31.0ms	60×	body	2560	valid
12.0ms	22×	body	1280	valid
11.0ms	132×	body	80	invalid
10.0ms	15×	body	5120	exit
6.0ms	75×	body	80	valid
3.0ms	9×	body	640	valid
1.0ms	3×	body	320	invalid
1.0ms	3×	body	320	valid
0.0ms	1×	body	2560	invalid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	invalid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

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: 60.3b

Counts

2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

21.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
21.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
21.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.8b	(+.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))))

rewrite116.0ms

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:

15.0ms	(/.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 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))))

series679.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
139.0ms	(/.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)))
332.0ms	(+.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))))

simplify86.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5664	4082

prune110.0ms

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: 32.9b

Counts

157 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.f64 c0 (*.f64 2 w))
5.4b	(.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:

4.0ms	(/.f64 c0 (*.f64 2 w))
7.0ms	(.f64 (/.f64 c0 (.f64 2 w)) 0)

series14.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(/.f64 c0 (*.f64 2 w))
2.0ms	(.f64 (/.f64 c0 (.f64 2 w)) 0)

simplify79.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4915	324
1	4915	324

prune40.0ms

Filtered

37 candidates to 55 candidates (-48.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	55	8	63

Merged error: 31.0b

Counts

63 → 8

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify11.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune12.0ms

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: 31.0b

Counts

8 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

14.5b	(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)))))
21.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
23.2b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite86.0ms

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:

18.0ms	(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)))))
13.0ms	(/.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)))

series1.6s

Counts

4 → 12

Calls

4 calls:

510.0ms	(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)))
861.0ms	(/.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)))))
106.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
92.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

simplify98.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5066	5235

prune129.0ms

Filtered

66 candidates to 148 candidates (-124.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	144	4	148
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	146	10	156

Merged error: 30.2b

Counts

156 → 10

regimes239.0ms

Accuracy

0% (3.4b remaining)

Error of 33.9b against oracle of 30.5b 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

sample5.7s

Algorithm

intervals

Results

1.4s	2332×	body	5120	valid
996.0ms	12474×	body	80	nan
816.0ms	1668×	body	2560	valid
384.0ms	604×	body	5120	exit
354.0ms	4334×	body	80	invalid
320.0ms	794×	body	1280	valid
208.0ms	2533×	body	80	valid
122.0ms	397×	body	640	valid
47.0ms	192×	body	320	valid
27.0ms	52×	body	2560	invalid
24.0ms	57×	body	1280	invalid
13.0ms	84×	body	160	valid
12.0ms	39×	body	640	invalid
6.0ms	24×	body	320	invalid
2.0ms	4×	body	5120	invalid
1.0ms	9×	body	160	invalid

Details

analyze1.9s

sample188.0ms

simplify68.0ms

prune6.0ms

localize20.0ms

rewrite116.0ms

series679.0ms

simplify86.0ms

prune110.0ms

localize5.0ms

rewrite13.0ms

series14.0ms

simplify79.0ms

prune40.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify11.0ms

prune12.0ms

localize32.0ms

rewrite86.0ms

series1.6s

simplify98.0ms

prune129.0ms

regimes239.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample5.7s

Profiling