Details

analyze1.6s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

sample47.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
8.0ms	146×	body	80	invalid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4985	17
1	4985	17

prune21.0ms

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: 5.2b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.3b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4)))
2.2b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.1b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4))) c)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
4×	`associate-/l/_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`associate-l_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

6.0ms	(.f64 (.f64 x 9) y)
12.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4)))
9.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
14.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4))) c)

series110.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 (.f64 x 9) y)
40.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4)))
15.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
51.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4))) c)

simplify63.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5650	1593

prune178.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	90	11	101

Merged error: 4.9b

Counts

101 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
4.0b	(/.f64 (*.f64 a t) c)
5.7b	(/.f64 b (*.f64 z c))
9.9b	(/.f64 (.f64 x y) (.f64 z c))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`cbrt-unprod_binary64` `prod-exp_binary64`
12×	`cbrt-undiv_binary64` `add-sqr-sqrt_binary64` `div-exp_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`times-frac_binary64`
6×	`pow1_binary64`
5×	`associate-/r_binary64` `associate-r_binary64` `associate-/l_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

8.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
7.0ms	(/.f64 (*.f64 a t) c)
5.0ms	(/.f64 b (*.f64 z c))
6.0ms	(/.f64 (.f64 x y) (.f64 z c))

series30.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
5.0ms	(/.f64 (*.f64 a t) c)
5.0ms	(/.f64 b (*.f64 z c))
9.0ms	(/.f64 (.f64 x y) (.f64 z c))

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5006	808

prune153.0ms

Filtered

63 candidates to 104 candidates (-65.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	102	13	115

Merged error: 0.3b

Counts

115 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

4.0b	(/.f64 (*.f64 a t) c)
4.4b	(/.f64 z (/.f64 y c))
5.4b	(/.f64 x (/.f64 z (/.f64 y c)))
5.7b	(/.f64 b (*.f64 z c))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

477×	`times-frac_binary64`
235×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
61×	`associate-/r*_binary64`
28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
24×	`div-inv_binary64`
13×	`cbrt-undiv_binary64` `div-exp_binary64`
10×	`associate-/l*_binary64`
6×	`associate-/r/_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`cbrt-unprod_binary64` `prod-exp_binary64`

Counts

4 → 308

Calls

4 calls:

5.0ms	(/.f64 (*.f64 a t) c)
6.0ms	(/.f64 z (/.f64 y c))
12.0ms	(/.f64 x (/.f64 z (/.f64 y c)))
5.0ms	(/.f64 b (*.f64 z c))

series30.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/.f64 (*.f64 a t) c)
6.0ms	(/.f64 z (/.f64 y c))
9.0ms	(/.f64 x (/.f64 z (/.f64 y c)))
10.0ms	(/.f64 b (*.f64 z c))

simplify82.0ms

Algorithm

egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4990	4210
1	4990	4210

prune362.0ms

Filtered

260 candidates to 320 candidates (-23.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	317	3	320
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	321	12	333

Merged error: 0b

Counts

333 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

4.0b	(/.f64 (*.f64 a t) c)
4.5b	(/.f64 (neg.f64 (*.f64 z c)) y)
5.4b	(/.f64 (neg.f64 x) (/.f64 (neg.f64 (*.f64 z c)) y))
5.7b	(/.f64 b (*.f64 z c))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

442×	`times-frac_binary64`
198×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
106×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
60×	`neg-mul-1_binary64`
29×	`associate-/r*_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`associate-/l*_binary64`
15×	`div-inv_binary64`
8×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`cbrt-unprod_binary64` `neg-sub0_binary64` `div-sub_binary64` `prod-exp_binary64` `distribute-frac-neg_binary64`
1×	`associate-/r/_binary64`

Counts

4 → 352

Calls

4 calls:

5.0ms	(/.f64 (*.f64 a t) c)
5.0ms	(/.f64 (neg.f64 (*.f64 z c)) y)
11.0ms	(/.f64 (neg.f64 x) (/.f64 (neg.f64 (*.f64 z c)) y))
5.0ms	(/.f64 b (*.f64 z c))

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/.f64 (*.f64 a t) c)
6.0ms	(/.f64 (neg.f64 (*.f64 z c)) y)
10.0ms	(/.f64 (neg.f64 x) (/.f64 (neg.f64 (*.f64 z c)) y))
10.0ms	(/.f64 b (*.f64 z c))

simplify71.0ms

Algorithm

egg-herbie

Counts

364 → 364

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4976	5302
1	4976	5302

prune319.0ms

Filtered

276 candidates to 364 candidates (-31.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	364	0	364
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	364	12	376

Merged error: 0b

Counts

376 → 12

regimes1.7s

Accuracy

48.4% (5.5b remaining)

Error of 5.6b against oracle of 0.1b and baseline of 10.8b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	242	151
1	242	151

end0.0ms

sample1.3s

Algorithm

intervals

Results

486.0ms	8000×	body	80	valid
289.0ms	4791×	body	80	invalid

Details

analyze1.6s

sample47.0ms

simplify40.0ms

prune21.0ms

localize13.0ms

rewrite42.0ms

series110.0ms

simplify63.0ms

prune178.0ms

localize15.0ms

rewrite29.0ms

series30.0ms

simplify56.0ms

prune153.0ms

localize18.0ms

rewrite48.0ms

series30.0ms

simplify82.0ms

prune362.0ms

localize17.0ms

rewrite44.0ms

series31.0ms

simplify71.0ms

prune319.0ms

regimes1.7s

bsearch1.0ms

simplify4.0ms

end0.0ms

sample1.3s

Profiling