Details

analyze10.0ms

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
25%	74.9%	0.1%	6
93.7%	6.2%	0.1%	7
96.8%	3.1%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

sample17.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5027	19

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 34.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y 4.0) y))
5.3b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4.0) y))
34.0b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 54

Calls

3 calls:

5.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4.0) y))
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4.0) y))
9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)))

series32.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4.0) y))
9.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4.0) y))
15.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4943	1204
1	4943	1204

prune82.0ms

Filtered

52 candidates to 63 candidates (-21.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	4	64

Merged error: 0.2b

Counts

64 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.2b

Counts

4 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.2b

Counts

4 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4.0))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4.0)))) 3)
0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4.0))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4.0)))) 3))
5.3b	(-.f64 (.f64 x x) (.f64 y (*.f64 y 4.0)))
34.0b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4.0))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4.0))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac_binary64`
42×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
36×	`cbrt-prod_binary64`
30×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
5×	`flip3-+_binary64` `pow1_binary64` `div-inv_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `pow1/3_binary64` `pow-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 139

Calls

4 calls:

10.0ms	(pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4.0))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4.0)))) 3)
10.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4.0))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4.0)))) 3))
5.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 4.0)))
10.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4.0))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4.0))))

series63.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4.0))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4.0)))) 3)
15.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4.0))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4.0)))) 3))
9.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 4.0)))
15.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4.0))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4.0))))

simplify64.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5109	3881

prune115.0ms

Filtered

85 candidates to 151 candidates (-77.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	151	4	155

Merged error: 0.2b

Counts

155 → 4

regimes171.0ms

Accuracy

53.9% (14.5b remaining)

Error of 14.8b against oracle of 0.3b and baseline of 31.8b

bsearch58.0ms

Steps

Iters	Range		Point
8	8.829667198714222e+79	2.7454474867920204e+82	2.248804362437393e+81
9	4.124411015621216e-18	3.0462877333983428e-09	2.992724529533424e-09
6	7.025561636108856e-62	1.0209734135524725e-60	7.37508648907558e-62
3	-2.787121811229255e-33	-2.1502970253019634e-33	-2.1900985744224192e-33
10	-7.006984133473917e+156	-2.85307605768799e+144	-1.1567941219743209e+146

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	68
1	68	68

end0.0ms

sample466.0ms

Algorithm

intervals

Results

341.0ms

8000×

body

valid

Details

analyze10.0ms

sample17.0ms

simplify60.0ms

prune8.0ms

localize8.0ms

rewrite19.0ms

series32.0ms

simplify71.0ms

prune82.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune7.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune6.0ms

localize13.0ms

rewrite40.0ms

series63.0ms

simplify64.0ms

prune115.0ms

regimes171.0ms

bsearch58.0ms

simplify2.0ms

end0.0ms

sample466.0ms

Profiling