Details

analyze11.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5011	19

prune4.0ms

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: 33.9b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
4.5b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
33.2b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

rewrite20.0ms

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) y))
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
10.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

series29.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
8.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
13.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5954	1192

prune53.0ms

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: 0.4b

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: 0.4b

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

prune4.0ms

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: 0.4b

Counts

4 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3))
0.0b	(pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3)
4.5b	(-.f64 (.f64 x x) (.f64 y (*.f64 y 4)))
33.2b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4))))

rewrite55.0ms

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:

12.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3))
22.0ms	(pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3)
7.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 4)))
10.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3))
19.0ms	(pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3)
8.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 4)))
13.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4))))

simplify59.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5096	3867

prune75.0ms

Filtered

84 candidates to 151 candidates (-79.8%)

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: 0.4b

Counts

155 → 4

regimes121.0ms

Accuracy

63.6% (11.5b remaining)

Error of 11.9b against oracle of 0.3b and baseline of 32.1b

bsearch39.0ms

Steps

Iters	Range		Point
10	1.1710045258357236e+222	1.298654243740756e+235	3.783379702185256e+232
2	6.333486771285432e-09	7.167656389966995e-09	7.0633851876318e-09
9	8.63833210388325e-24	3.670983343159995e-15	3.1402604854661807e-16
7	5.2735739089569106e-269	2.5095221579228542e-267	9.35173104322283e-269

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	71
1	64	71

end0.0ms

sample473.0ms

Algorithm

intervals

Results

349.0ms

8000×

body

valid

Details

analyze11.0ms

sample17.0ms

simplify67.0ms

prune4.0ms

localize12.0ms

rewrite20.0ms

series29.0ms

simplify57.0ms

prune53.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune7.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune4.0ms

localize10.0ms

rewrite55.0ms

series52.0ms

simplify59.0ms

prune75.0ms

regimes121.0ms

bsearch39.0ms

simplify3.0ms

end0.0ms

sample473.0ms

Profiling