Details

analyze38.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

sample22.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	496	12
1	496	12

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.2b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(/.f64 1 (*.f64 x 9))
0.3b	(*.f64 3 (sqrt.f64 x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
18×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
11×	`add-cube-cbrt_binary64`
9×	`add-log-exp_binary64` `pow1_binary64`
6×	`associate-r_binary64` `associate-/l*_binary64` `times-frac_binary64` `div-exp_binary64`
5×	`prod-exp_binary64` `distribute-lft-out--_binary64`
4×	`cbrt-undiv_binary64` `sqrt-prod_binary64`
3×	`diff-log_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `associate-/r*_binary64` `sub-neg_binary64` `flip3--_binary64` `1-exp_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64`
1×	`associate--l-_binary64` `inv-pow_binary64` `difference-of-squares_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

13.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
5.0ms	(/.f64 1 (*.f64 x 9))
5.0ms	(*.f64 3 (sqrt.f64 x))

series30.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
10.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
2.0ms	(/.f64 1 (*.f64 x 9))
5.0ms	(*.f64 3 (sqrt.f64 x))

simplify41.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5013	912

prune88.0ms

Filtered

70 candidates to 103 candidates (-47.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	97	8	105

Merged error: 0.0b

Counts

105 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 (/.f64 1 x) 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(/.f64 (/.f64 1 x) 9)
0.3b	(*.f64 3 (sqrt.f64 x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac_binary64`
57×	`add-sqr-sqrt_binary64`
56×	`*-un-lft-identity_binary64`
51×	`add-cube-cbrt_binary64`
20×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
9×	`add-log-exp_binary64`
8×	`div-exp_binary64`
6×	`pow1_binary64` `associate-r_binary64` `div-inv_binary64`
5×	`cbrt-undiv_binary64`
4×	`associate-/r*_binary64` `sqrt-prod_binary64`
3×	`diff-log_binary64` `associate-l_binary64` `distribute-lft-out--_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `flip--_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate--l-_binary64` `1-exp_binary64` `difference-of-squares_binary64` `rec-exp_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 134

Calls

4 calls:

24.0ms	(-.f64 (-.f64 1 (/.f64 (/.f64 1 x) 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
7.0ms	(/.f64 (/.f64 1 x) 9)
5.0ms	(*.f64 3 (sqrt.f64 x))

series28.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(-.f64 (-.f64 1 (/.f64 (/.f64 1 x) 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
10.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
2.0ms	(/.f64 (/.f64 1 x) 9)
5.0ms	(*.f64 3 (sqrt.f64 x))

simplify59.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4913	1418
1	4913	1418

prune96.0ms

Filtered

101 candidates to 146 candidates (-44.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	145	9	154

Merged error: 0.0b

Counts

154 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
0.0b	(-.f64 1 (/.f64 1 (*.f64 x 9)))
0.3b	(/.f64 1 (*.f64 x 9))
0.3b	(/.f64 (/.f64 y 3) (sqrt.f64 x))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac_binary64`
102×	`add-sqr-sqrt_binary64`
94×	`*-un-lft-identity_binary64`
83×	`add-cube-cbrt_binary64`
44×	`sqrt-prod_binary64`
20×	`add-exp-log_binary64`
16×	`associate-/l*_binary64`
14×	`add-cbrt-cube_binary64`
11×	`add-log-exp_binary64` `div-inv_binary64`
7×	`associate-/r*_binary64` `pow1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
5×	`cbrt-undiv_binary64`
4×	`diff-log_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `prod-exp_binary64` `flip--_binary64`
2×	`1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `pow-flip_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `inv-pow_binary64` `associate--l+_binary64`

Counts

4 → 179

Calls

4 calls:

41.0ms	(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
6.0ms	(-.f64 1 (/.f64 1 (*.f64 x 9)))
5.0ms	(/.f64 1 (*.f64 x 9))
8.0ms	(/.f64 (/.f64 y 3) (sqrt.f64 x))

series29.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
3.0ms	(-.f64 1 (/.f64 1 (*.f64 x 9)))
2.0ms	(/.f64 1 (*.f64 x 9))
10.0ms	(/.f64 (/.f64 y 3) (sqrt.f64 x))

simplify40.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4975	2336
1	4975	2336

prune118.0ms

Filtered

125 candidates to 191 candidates (-52.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	188	3	191
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	192	8	200

Merged error: 0b

Counts

200 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
0.0b	(+.f64 1 (/.f64 -1/9 x))
0.3b	(/.f64 (/.f64 y 3) (sqrt.f64 x))
0.4b	(/.f64 -1/9 x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac_binary64`
105×	`add-sqr-sqrt_binary64`
96×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`sqrt-prod_binary64`
16×	`associate-/l*_binary64`
11×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/r*_binary64` `div-inv_binary64`
5×	`difference-of-squares_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `flip-+_binary64` `frac-sub_binary64` `sum-log_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `+-commutative_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 173

Calls

4 calls:

30.0ms	(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
6.0ms	(+.f64 1 (/.f64 -1/9 x))
8.0ms	(/.f64 (/.f64 y 3) (sqrt.f64 x))
3.0ms	(/.f64 -1/9 x)

series29.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
3.0ms	(+.f64 1 (/.f64 -1/9 x))
10.0ms	(/.f64 (/.f64 y 3) (sqrt.f64 x))
2.0ms	(/.f64 -1/9 x)

simplify85.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4926	2323
1	4926	2323

prune100.0ms

Filtered

129 candidates to 185 candidates (-43.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	185	8	193

Merged error: 0b

Counts

193 → 8

regimes72.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	14
1	68	14

end0.0ms

sample505.0ms

Algorithm

intervals

Results

354.0ms	8000×	body	80	valid
4.0ms	89×	body	80	invalid

Details

analyze38.0ms

sample22.0ms

simplify24.0ms

prune6.0ms

localize9.0ms

rewrite31.0ms

series30.0ms

simplify41.0ms

prune88.0ms

localize9.0ms

rewrite48.0ms

series28.0ms

simplify59.0ms

prune96.0ms

localize9.0ms

rewrite68.0ms

series29.0ms

simplify40.0ms

prune118.0ms

localize10.0ms

rewrite55.0ms

series29.0ms

simplify85.0ms

prune100.0ms

regimes72.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample505.0ms

Profiling