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

sample18.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5011	19

prune5.0ms

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: 30.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
3.9b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
30.2b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) 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) y))
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

series32.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
11.0ms	(-.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)))

simplify58.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5954	1192

prune77.0ms

Filtered

52 candidates to 63 candidates (-21.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Merged error: 0.3b

Counts

64 → 4

localize11.0ms

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)
3.9b	(-.f64 (.f64 x x) (.f64 y (*.f64 y 4)))
30.2b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4))))

rewrite42.0ms

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	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3))
11.0ms	(pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3)
5.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 4)))
12.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4))))

series51.0ms

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))
17.0ms	(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))))

simplify63.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5096	3867

prune121.0ms

Filtered

85 candidates to 151 candidates (-77.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0.3b

Counts

155 → 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

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0.3b

Counts

4 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Merged error: 0.3b

Counts

4 → 4

regimes276.0ms

Accuracy

56.5% (13.3b remaining)

Error of 13.7b against oracle of 0.3b and baseline of 31.0b

bsearch63.0ms

Steps

Iters	Range		Point
8	4.7000268294361204e-14	3.621158047606579e-10	8.442517610183642e-14
10	4.867018849237053e-78	6.793669869331588e-60	4.6413923854819006e-60
6	8.13113498640013e-142	8.533117731492997e-141	4.738501923569654e-141
8	-2.1892518538557338e-162	-3.3960205377544716e-165	-2.0055094058071508e-162
6	-3.7521666522314495e+100	-2.931590474772448e+99	-2.554553604554076e+100

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	62
1	64	62

end0.0ms

sample472.0ms

Algorithm

intervals

Results

347.0ms

8000×

body

valid

Details

analyze11.0ms

sample18.0ms

simplify65.0ms

prune5.0ms

localize8.0ms

rewrite19.0ms

series32.0ms

simplify58.0ms

prune77.0ms

localize11.0ms

rewrite42.0ms

series51.0ms

simplify63.0ms

prune121.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune2.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify4.0ms

prune0.0ms

regimes276.0ms

bsearch63.0ms

simplify2.0ms

end0.0ms

sample472.0ms

Profiling