Details

analyze310.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample19.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	134	7
1	134	7

prune9.0ms

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

simplify58.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4953	218
1	4953	218

prune27.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
0.0b	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
21×	`sqrt-prod_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
13×	`pow1_binary64`
12×	`distribute-lft-out_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
5.0ms	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
11.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
17.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
8.0ms	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
18.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
9.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))

simplify39.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5125	1143

prune87.0ms

Filtered

66 candidates to 103 candidates (-56.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

1.8b	(+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (*.f64 d2 (+.f64 d3 37))))
2.3b	(-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))
5.2b	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3)))
27.9b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

30×	`-un-lft-identity_binary64` `associate-r/_binary64`
28×	`flip3-+_binary64` `flip-+_binary64`
16×	`frac-sub_binary64`
13×	`distribute-lft-out_binary64` `associate-r_binary64`
11×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `frac-times_binary64`
6×	`pow1_binary64` `associate-*l/_binary64`
4×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sub-div_binary64` `associate--l+_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64` `associate-+r+_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `associate--r+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-rgt-out--_binary64` `sum-cubes_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `-commutative_binary64`

Counts

4 → 109

Calls

4 calls:

12.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (*.f64 d2 (+.f64 d3 37))))
12.0ms	(-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))
18.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3)))
30.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))

series157.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (*.f64 d2 (+.f64 d3 37))))
8.0ms	(-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))
50.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3)))
87.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4995	2340
1	4995	2340

prune143.0ms

Filtered

84 candidates to 121 candidates (-44.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0b

Counts

124 → 3

regimes130.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample471.0ms

Algorithm

intervals

Results

272.0ms	7961×	body	80	valid
22.0ms	660×	body	80	invalid
2.0ms	16×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	5×	body	1280	valid
1.0ms	9×	body	160	valid

Details

analyze310.0ms

sample19.0ms

simplify7.0ms

prune9.0ms

localize5.0ms

rewrite9.0ms

series12.0ms

simplify58.0ms

prune27.0ms

localize7.0ms

rewrite42.0ms

series44.0ms

simplify39.0ms

prune87.0ms

localize15.0ms

rewrite77.0ms

series157.0ms

simplify58.0ms

prune143.0ms

regimes130.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample471.0ms

Profiling