Details

analyze544.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample18.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify137.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	5013	11

prune3.0ms

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: 0.7b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
7.5b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`flip3--_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r/_binary64` `frac-times_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`pow1_binary64` `associate-r/_binary64` `associate-l/_binary64`
3×	`associate-/l*_binary64` `times-frac_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 61

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
10.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series27.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
20.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

simplify39.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4986	729
1	4986	729

prune50.0ms

Filtered

51 candidates to 67 candidates (-31.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	5	68

Merged error: 0b

Counts

68 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
1.1b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac_binary64`
176×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
88×	`add-cube-cbrt_binary64`
44×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
16×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 185

Calls

2 calls:

6.0ms	(/.f64 x (-.f64 y z))
15.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

series27.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 x (-.f64 y z))
20.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

simplify51.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5017	3094

prune72.0ms

Filtered

128 candidates to 191 candidates (-49.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	193	3	196

Merged error: 0b

Counts

196 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 y z))
0.1b	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
7.5b	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

395×	`times-frac_binary64`
329×	`add-sqr-sqrt_binary64`
318×	`*-un-lft-identity_binary64`
157×	`add-cube-cbrt_binary64`
111×	`associate-r_binary64`
80×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
31×	`add-exp-log_binary64`
28×	`associate-/r/_binary64`
24×	`associate-/l*_binary64`
19×	`add-cbrt-cube_binary64`
14×	`flip3--_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
10×	`associate-/r*_binary64`
7×	`cbrt-undiv_binary64`
6×	`pow1_binary64`
5×	`prod-exp_binary64`
4×	`unswap-sqr_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 327

Calls

3 calls:

6.0ms	(/.f64 1 (-.f64 y z))
16.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
33.0ms	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 1 (-.f64 y z))
14.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
20.0ms	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))

simplify80.0ms

Algorithm

egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5210	4596

prune127.0ms

Filtered

186 candidates to 336 candidates (-80.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	336	3	339

Merged error: 0b

Counts

339 → 3

regimes251.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	11
1	50	11

end0.0ms

sample486.0ms

Algorithm

intervals

Results

268.0ms	8000×	body	80	valid
13.0ms	408×	body	80	invalid

Details

analyze544.0ms

sample18.0ms

simplify137.0ms

prune3.0ms

localize11.0ms

rewrite22.0ms

series27.0ms

simplify39.0ms

prune50.0ms

localize8.0ms

rewrite32.0ms

series27.0ms

simplify51.0ms

prune72.0ms

localize9.0ms

rewrite79.0ms

series39.0ms

simplify80.0ms

prune127.0ms

regimes251.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample486.0ms

Profiling