Details

analyze78.0ms

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	50%	6.3%	6
43.7%	43.7%	12.6%	7
59.3%	26.5%	14.1%	8
59.3%	22.6%	18%	9
67.1%	13.7%	19.2%	10
67.1%	11.5%	21.4%	11
71%	6.9%	22%	12
71%	5.8%	23.2%	13
73%	3.5%	23.5%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	10×	body	80	nan

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

prune6.0ms

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: 19.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

18.0b

(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
2×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1/2_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip-+_binary64`

Counts

1 → 15

Calls

1 calls:

4.0ms

(sqrt.f64 (+.f64 (*.f64 x x) y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(sqrt.f64 (+.f64 (*.f64 x x) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4926	159
1	4926	159

prune21.0ms

Filtered

15 candidates to 18 candidates (-20.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0b

Counts

19 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 1/2 (/.f64 y x)))
0.0b	(*.f64 1/2 (/.f64 y x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-l_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 43

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 1/2 (/.f64 y x)))
8.0ms	(*.f64 1/2 (/.f64 y x))

series9.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+.f64 x (*.f64 1/2 (/.f64 y x)))
4.0ms	(*.f64 1/2 (/.f64 y x))

simplify40.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4999	372
1	4999	372

prune38.0ms

Filtered

34 candidates to 49 candidates (-44.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 y (/.f64 -1/2 x)) x)
0.2b	(*.f64 y (/.f64 -1/2 x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-l_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `-commutative_binary64`

Counts

2 → 43

Calls

2 calls:

6.0ms	(-.f64 (*.f64 y (/.f64 -1/2 x)) x)
7.0ms	(*.f64 y (/.f64 -1/2 x))

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(-.f64 (*.f64 y (/.f64 -1/2 x)) x)
4.0ms	(*.f64 y (/.f64 -1/2 x))

simplify46.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5315	373

prune35.0ms

Filtered

34 candidates to 49 candidates (-44.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	49	3	52

Merged error: 0b

Counts

52 → 3

regimes202.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.0b

bsearch37.0ms

Steps

Iters	Range		Point
6	1.1657082144658345e+106	6.167266688737503e+106	6.098175834034047e+106
11	-7.16482698829968e+154	-2.100240097672493e+129	-1.3380395579013126e+154

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	28
1	33	28

end0.0ms

sample340.0ms

Algorithm

intervals

Results

204.0ms	8000×	body	80	valid
4.0ms	170×	body	80	nan

Details

analyze78.0ms

sample15.0ms

simplify6.0ms

prune6.0ms

localize4.0ms

rewrite5.0ms

series8.0ms

simplify66.0ms

prune21.0ms

localize5.0ms

rewrite12.0ms

series9.0ms

simplify40.0ms

prune38.0ms

localize5.0ms

rewrite15.0ms

series10.0ms

simplify46.0ms

prune35.0ms

regimes202.0ms

bsearch37.0ms

simplify2.0ms

end0.0ms

sample340.0ms

Profiling