Details

analyze72.0ms

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

sample14.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	6×	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

prune2.0ms

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: 21.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x x) y)
20.3b	(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
2×	`flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 26

Calls

2 calls:

5.0ms	(+.f64 (*.f64 x x) y)
5.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+.f64 (*.f64 x x) y)
8.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))

simplify77.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4923	260
1	4923	260

prune20.0ms

Filtered

25 candidates to 32 candidates (-28.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0b

Counts

33 → 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:

7.0ms	(-.f64 (*.f64 y (/.f64 -1/2 x)) x)
4.0ms	(*.f64 y (/.f64 -1/2 x))

simplify50.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5315	373

prune22.0ms

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 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 11

Calls

1 calls:

6.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify72.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5032	143

prune7.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	14	3	17

Merged error: 0b

Counts

17 → 3

regimes141.0ms

Accuracy

98.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 21.2b

bsearch20.0ms

Steps

Iters	Range		Point
7	1.2380878874951677e+76	8.803977742686471e+77	8.691984318156497e+77
8	-1.5220387594255163e+152	-1.3646609922563562e+149	-1.5013366581586753e+152

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	28
1	33	28

end0.0ms

sample344.0ms

Algorithm

intervals

Results

207.0ms	8000×	body	80	valid
4.0ms	167×	body	80	nan

Details

analyze72.0ms

sample14.0ms

simplify6.0ms

prune2.0ms

localize5.0ms

rewrite10.0ms

series12.0ms

simplify77.0ms

prune20.0ms

localize5.0ms

rewrite15.0ms

series10.0ms

simplify50.0ms

prune22.0ms

localize5.0ms

rewrite6.0ms

series5.0ms

simplify72.0ms

prune7.0ms

regimes141.0ms

bsearch20.0ms

simplify2.0ms

end0.0ms

sample344.0ms

Profiling