Details

analyze271.0ms

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
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	43×	body	80	invalid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	358	10
1	358	10

prune1.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 51

Calls

2 calls:

8.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
6.0ms	(/.f64 (-.f64 y x) z)

series49.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
28.0ms	(/.f64 (-.f64 y x) z)

simplify121.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4927	779
1	4927	779

prune25.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	2	58

Merged error: 0b

Counts

58 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3)))
0.0b	(/.f64 (-.f64 y x) z)
0.3b	(pow.f64 (/.f64 (-.f64 y x) z) 3)
31.8b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64`
84×	`add-sqr-sqrt_binary64`
75×	`times-frac_binary64`
52×	`add-cube-cbrt_binary64`
44×	`cbrt-prod_binary64`
38×	`unpow-prod-down_binary64` `cube-prod_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64` `associate-/l*_binary64` `div-inv_binary64`
3×	`pow-unpow_binary64` `associate-/r*_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` `flip3-+_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 162

Calls

4 calls:

20.0ms	(+.f64 x (cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3)))
6.0ms	(/.f64 (-.f64 y x) z)
7.0ms	(pow.f64 (/.f64 (-.f64 y x) z) 3)
8.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))

series158.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+.f64 x (cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3)))
26.0ms	(/.f64 (-.f64 y x) z)
54.0ms	(pow.f64 (/.f64 (-.f64 y x) z) 3)
39.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))

simplify66.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5562	2769

prune65.0ms

Filtered

88 candidates to 174 candidates (-97.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	174	2	176

Merged error: 0b

Counts

176 → 2

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample537.0ms

Algorithm

intervals

Results

323.0ms	8000×	body	80	valid
29.0ms	1292×	body	80	invalid

Details

analyze271.0ms

sample17.0ms

simplify31.0ms

prune1.0ms

localize5.0ms

rewrite16.0ms

series49.0ms

simplify121.0ms

prune25.0ms

localize8.0ms

rewrite48.0ms

series158.0ms

simplify66.0ms

prune65.0ms

regimes31.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample537.0ms

Profiling