Details

analyze493.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

sample26.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	87×	body	80	nan
1.0ms	18×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

prune3.0ms

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: 21.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

1.2b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.4b	(/.f64 A (*.f64 V l))
19.5b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
15×	`sqrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`times-frac_binary64`
6×	`pow1_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `associate-/l*_binary64` `div-inv_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-exp_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `pow1/2_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

3 → 66

Calls

3 calls:

9.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

series30.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.0ms	(/.f64 A (*.f64 V l))
10.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify70.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5085	561

prune88.0ms

Filtered

57 candidates to 75 candidates (-31.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	60	15	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	15	76

Merged error: 7.2b

Counts

76 → 15

localize8.0ms

Local error

Found 3 expressions with local error:

1.2b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
3.6b	(*.f64 (/.f64 1 V) (/.f64 A l))
19.5b	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
27×	`add-exp-log_binary64`
25×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`
17×	`associate-r_binary64` `add-cbrt-cube_binary64`
16×	`associate-l_binary64`
10×	`pow1_binary64`
9×	`prod-exp_binary64`
8×	`div-exp_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-*r/_binary64` `sqrt-div_binary64`
5×	`cbrt-unprod_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
2×	`1-exp_binary64` `sqrt-pow1_binary64` `rec-exp_binary64` `div-inv_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64`

Counts

3 → 92

Calls

3 calls:

9.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
11.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
6.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

series40.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
5.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
18.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

simplify57.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5059	743

prune89.0ms

Filtered

71 candidates to 101 candidates (-42.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	95	6	101
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	97	19	116

Merged error: 4.3b

Counts

116 → 19

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (/.f64 V (/.f64 A l)))
1.2b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
3.6b	(/.f64 V (/.f64 A l))
19.5b	(sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

1155×	`times-frac_binary64`
574×	`add-sqr-sqrt_binary64`
539×	`*-un-lft-identity_binary64`
533×	`add-cube-cbrt_binary64`
281×	`sqrt-prod_binary64`
140×	`associate-r_binary64`
57×	`associate-/r*_binary64`
48×	`div-inv_binary64`
32×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
18×	`div-exp_binary64`
14×	`associate-/r/_binary64`
9×	`pow1_binary64` `cbrt-undiv_binary64`
8×	`unswap-sqr_binary64`
7×	`rem-sqrt-square_binary64`
6×	`associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`1-exp_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `rec-exp_binary64`
2×	`clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `prod-exp_binary64` `-commutative_binary64`

Counts

4 → 593

Calls

4 calls:

13.0ms	(/.f64 1 (/.f64 V (/.f64 A l)))
43.0ms	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
6.0ms	(/.f64 V (/.f64 A l))
19.0ms	(sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l))))

series43.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/.f64 1 (/.f64 V (/.f64 A l)))
17.0ms	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
6.0ms	(/.f64 V (/.f64 A l))
15.0ms	(sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l))))

simplify124.0ms

Algorithm

egg-herbie

Counts

605 → 605

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4997	7872
1	4997	7872

prune362.0ms

Filtered

427 candidates to 605 candidates (-41.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	591	14	605
Fresh	12	6	18
Picked	1	0	1
Done	0	0	0
Total	604	20	624

Merged error: 0.0b

Counts

624 → 20

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 V)
0.6b	(cbrt.f64 V)
0.7b	(cbrt.f64 A)
0.7b	(cbrt.f64 A)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 V)
1.0ms	(cbrt.f64 V)
1.0ms	(cbrt.f64 A)
1.0ms	(cbrt.f64 A)

series57.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 V)
14.0ms	(cbrt.f64 V)
14.0ms	(cbrt.f64 A)
14.0ms	(cbrt.f64 A)

simplify39.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4923	212
1	4923	212

prune40.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	53	23	76

Merged error: 0.0b

Counts

76 → 23

regimes801.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	36
1	25	36

end0.0ms

sample699.0ms

Algorithm

intervals

Results

279.0ms	8000×	body	80	valid
101.0ms	3055×	body	80	nan
35.0ms	871×	body	80	invalid

Details

analyze493.0ms

sample26.0ms

simplify5.0ms

prune3.0ms

localize6.0ms

rewrite19.0ms

series30.0ms

simplify70.0ms

prune88.0ms

localize8.0ms

rewrite29.0ms

series40.0ms

simplify57.0ms

prune89.0ms

localize8.0ms

rewrite133.0ms

series43.0ms

simplify124.0ms

prune362.0ms

localize18.0ms

rewrite6.0ms

series57.0ms

simplify39.0ms

prune40.0ms

regimes801.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample699.0ms

Profiling