Details

analyze41.0ms

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
37.5%	62.4%	0.1%	5
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
4×	`associate-/r*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 46

Calls

1 calls:

12.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

simplify38.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5063	538

prune26.0ms

Filtered

33 candidates to 49 candidates (-48.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	4	50

Merged error: 0b

Counts

50 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
0.0b	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`flip3-+_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`associate-/r*_binary64` `pow1_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `pow1/3_binary64` `pow-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`

Counts

3 → 186

Calls

3 calls:

12.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
11.0ms	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
10.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series38.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
15.0ms	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
10.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify59.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5157	2522

prune53.0ms

Filtered

88 candidates to 195 candidates (-121.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	195	4	199

Merged error: 0b

Counts

199 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
31×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`associate-/l*_binary64`
6×	`div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3-+_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

2 → 173

Calls

2 calls:

12.0ms	(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series19.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify69.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5631	2374

prune47.0ms

Filtered

94 candidates to 179 candidates (-90.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	179	4	183

Merged error: 0b

Counts

183 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity_binary64`
28×	`times-frac_binary64`
25×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64`
7×	`distribute-lft-out--_binary64`
6×	`associate-/r/_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
3×	`flip3-+_binary64` `distribute-rgt-out--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`pow1_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

2 → 60

Calls

2 calls:

5.0ms	(/.f64 x (+.f64 x y))
23.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/.f64 x (+.f64 x y))
13.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4866	731
1	4866	731

prune25.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	0	1
Picked	1	0	1
Done	1	1	2
Total	68	2	70

Merged error: 0b

Counts

70 → 2

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms

sample313.0ms

Algorithm

intervals

Results

184.0ms

8000×

body

valid

Details

analyze41.0ms

sample12.0ms

simplify54.0ms

prune2.0ms

localize4.0ms

rewrite14.0ms

series9.0ms

simplify38.0ms

prune26.0ms

localize7.0ms

rewrite43.0ms

series38.0ms

simplify59.0ms

prune53.0ms

localize6.0ms

rewrite30.0ms

series19.0ms

simplify69.0ms

prune47.0ms

localize8.0ms

rewrite31.0ms

series19.0ms

simplify79.0ms

prune25.0ms

regimes42.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample313.0ms

Profiling