Details

analyze498.0ms

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

sample25.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	94×	body	80	nan
1.0ms	33×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

prune1.0ms

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: 19.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

2.5b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.6b	(/.f64 A (*.f64 V l))
15.5b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite18.0ms

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:

8.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

series111.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
21.0ms	(/.f64 A (*.f64 V l))
39.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify121.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4790	857
1	4790	857

prune73.0ms

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: 7.6b

Counts

76 → 15

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (/.f64 V (/.f64 A l)))
2.5b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
5.7b	(/.f64 V (/.f64 A l))
15.5b	(sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l))))

rewrite139.0ms

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)))
45.0ms	(*.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))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(/.f64 1 (/.f64 V (/.f64 A l)))
61.0ms	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
24.0ms	(/.f64 V (/.f64 A l))
52.0ms	(sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l))))

simplify236.0ms

Algorithm

egg-herbie

Counts

605 → 605

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	5007	12577

prune464.0ms

Filtered

427 candidates to 605 candidates (-41.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	590	15	605
Fresh	12	2	14
Picked	1	0	1
Done	0	0	0
Total	603	17	620

Merged error: 0.1b

Counts

620 → 17

localize18.0ms

Local error

Found 4 expressions with local error:

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

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

series336.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 A)
86.0ms	(cbrt.f64 A)
81.0ms	(cbrt.f64 V)
84.0ms	(cbrt.f64 V)

simplify89.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4939	340
1	4939	340

prune88.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	2	14	16
Picked	0	1	1
Done	0	0	0
Total	53	20	73

Merged error: 0.1b

Counts

73 → 20

localize25.0ms

Local error

Found 4 expressions with local error:

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

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 V)
1.0ms	(cbrt.f64 V)

series338.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 V)
85.0ms	(cbrt.f64 V)
84.0ms	(cbrt.f64 V)
84.0ms	(cbrt.f64 V)

simplify44.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4984	340
1	4984	340

prune74.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	18	18
Picked	1	0	1
Done	0	1	1
Total	53	23	76

Merged error: 0.0b

Counts

76 → 23

regimes332.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	45
1	21	45

end0.0ms

sample739.0ms

Algorithm

intervals

Results

297.0ms	8000×	body	80	valid
110.0ms	3082×	body	80	nan
32.0ms	898×	body	80	invalid

Details

analyze498.0ms

sample25.0ms

simplify12.0ms

prune1.0ms

localize7.0ms

rewrite18.0ms

series111.0ms

simplify121.0ms

prune73.0ms

localize9.0ms

rewrite139.0ms

series354.0ms

simplify236.0ms

prune464.0ms

localize18.0ms

rewrite6.0ms

series336.0ms

simplify89.0ms

prune88.0ms

localize25.0ms

rewrite6.0ms

series338.0ms

simplify44.0ms

prune74.0ms

regimes332.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample739.0ms

Profiling