Details

analyze615.0ms

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample29.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
6.0ms	89×	body	80	invalid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5100	13

prune10.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x z) y)
0.2b	(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
27×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
16×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
5×	`associate-l_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

2 → 74

Calls

2 calls:

6.0ms	(/.f64 (+.f64 x z) y)
12.0ms	(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))

series20.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/.f64 (+.f64 x z) y)
14.0ms	(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5698	789

prune81.0ms

Filtered

54 candidates to 80 candidates (-48.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	75	7	82

Merged error: 0b

Counts

82 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 x z))
0.2b	(*.f64 (-.f64 x z) (/.f64 1 (/.f64 y (+.f64 x z))))
0.5b	(/.f64 1 (/.f64 y (+.f64 x z)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac_binary64`
161×	`*-un-lft-identity_binary64`
123×	`add-sqr-sqrt_binary64`
107×	`add-cube-cbrt_binary64`
59×	`associate-r_binary64`
35×	`add-exp-log_binary64`
25×	`distribute-lft-out_binary64`
22×	`associate-/r*_binary64`
19×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
7×	`cbrt-undiv_binary64` `prod-exp_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
5×	`associate-l_binary64` `unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64`
2×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `difference-of-squares_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 223

Calls

3 calls:

5.0ms	(/.f64 y (+.f64 x z))
26.0ms	(*.f64 (-.f64 x z) (/.f64 1 (/.f64 y (+.f64 x z))))
8.0ms	(/.f64 1 (/.f64 y (+.f64 x z)))

series29.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 y (+.f64 x z))
13.0ms	(*.f64 (-.f64 x z) (/.f64 1 (/.f64 y (+.f64 x z))))
8.0ms	(/.f64 1 (/.f64 y (+.f64 x z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	6075	2558

prune166.0ms

Filtered

142 candidates to 232 candidates (-63.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	230	2	232
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	234	5	239

Merged error: 0b

Counts

239 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (+.f64 x z))
0.2b	(/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac_binary64`
160×	`*-un-lft-identity_binary64`
116×	`add-sqr-sqrt_binary64`
78×	`add-cube-cbrt_binary64`
22×	`associate-/r*_binary64` `distribute-lft-out_binary64`
19×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64` `div-inv_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `flip--_binary64`

Counts

2 → 164

Calls

2 calls:

5.0ms	(/.f64 y (+.f64 x z))
12.0ms	(/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))

series21.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify62.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5470	2619

prune114.0ms

Filtered

108 candidates to 170 candidates (-57.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	171	4	175

Merged error: 0b

Counts

175 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x z) y)
0.0b	(/.f64 1 (+.f64 x z))
0.3b	(/.f64 (/.f64 (-.f64 x z) y) (/.f64 1 (+.f64 x z)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

894×	`times-frac_binary64`
603×	`*-un-lft-identity_binary64`
475×	`add-sqr-sqrt_binary64`
353×	`add-cube-cbrt_binary64`
64×	`distribute-lft-out_binary64`
61×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
43×	`associate-/r/_binary64`
42×	`div-inv_binary64`
31×	`add-exp-log_binary64`
27×	`associate-/l*_binary64`
25×	`associate-/r*_binary64`
21×	`flip3-+_binary64` `flip-+_binary64`
19×	`add-cbrt-cube_binary64` `div-exp_binary64`
10×	`cbrt-undiv_binary64`
4×	`pow1_binary64`
3×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

3 → 479

Calls

3 calls:

6.0ms	(/.f64 (-.f64 x z) y)
6.0ms	(/.f64 1 (+.f64 x z))
19.0ms	(/.f64 (/.f64 (-.f64 x z) y) (/.f64 1 (+.f64 x z)))

series26.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 (-.f64 x z) y)
5.0ms	(/.f64 1 (+.f64 x z))
14.0ms	(/.f64 (/.f64 (-.f64 x z) y) (/.f64 1 (+.f64 x z)))

simplify101.0ms

Algorithm

egg-herbie

Counts

488 → 488

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5585	9558

prune267.0ms

Filtered

236 candidates to 488 candidates (-106.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	488	0	488
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	488	4	492

Merged error: 0b

Counts

492 → 4

regimes224.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	13
1	23	13

end0.0ms

sample717.0ms

Algorithm

intervals

Results

341.0ms	8000×	body	80	valid
122.0ms	2812×	body	80	invalid

Details

analyze615.0ms

sample29.0ms

simplify77.0ms

prune10.0ms

localize8.0ms

rewrite20.0ms

series20.0ms

simplify64.0ms

prune81.0ms

localize10.0ms

rewrite52.0ms

series29.0ms

simplify62.0ms

prune166.0ms

localize8.0ms

rewrite25.0ms

series21.0ms

simplify62.0ms

prune114.0ms

localize10.0ms

rewrite70.0ms

series26.0ms

simplify101.0ms

prune267.0ms

regimes224.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample717.0ms

Profiling