Details

analyze278.0ms

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
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

sample26.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	15×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	40	13
1	40	13

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.2b	(.f64 z (.f64 z 3))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log_binary64_5674` `add-cbrt-cube_binary64_5682` `pow1_binary64_5656`
4×	`add-log-exp_binary64_5675`
3×	`cbrt-unprod_binary64_5679` `add-sqr-sqrt_binary64_5695` `associate-l_binary64_5770` `*-un-lft-identity_binary64_5710` `prod-exp_binary64_5661` `add-cube-cbrt_binary64_5681` `pow-prod-down_binary64_5637`
1×	`associate-r_binary64_5769` `sum-log_binary64_5625` `*-commutative_binary64_5778` `flip3-+_binary64_5708` `flip-+_binary64_5735` `+-commutative_binary64_5777`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
5.0ms	(.f64 z (.f64 z 3))

series62.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
16.0ms	(.f64 z (.f64 z 3))

simplify85.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5031	419

prune142.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z z))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
0.1b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp_binary64_5675`
10×	`sum-log_binary64_5625`
3×	`add-exp-log_binary64_5674` `add-sqr-sqrt_binary64_5695` `add-cbrt-cube_binary64_5682` `*-un-lft-identity_binary64_5710` `flip3-+_binary64_5708` `add-cube-cbrt_binary64_5681` `pow1_binary64_5656` `flip-+_binary64_5735` `+-commutative_binary64_5777`
2×	`associate-+l+_binary64_5762`

Counts

3 → 38

Calls

3 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z z))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
9.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

series130.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+.f64 (.f64 x y) (.f64 z z))
48.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
48.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

simplify50.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5250	767

prune172.0ms

Filtered

34 candidates to 47 candidates (-38.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5677`
23×	`add-sqr-sqrt_binary64_5695`
15×	`*-un-lft-identity_binary64_5710` `add-cube-cbrt_binary64_5681`
11×	`pow1_binary64_5656`
9×	`pow1/3_binary64_5648`
6×	`add-exp-log_binary64_5674` `swap-sqr_binary64_5737` `associate-r_binary64_5769` `associate-l_binary64_5770`
4×	`add-cbrt-cube_binary64_5682` `unswap-sqr_binary64_5738` `add-log-exp_binary64_5675`
2×	`pow-prod-up_binary64_5636` `pow-sqr_binary64_5743` `pow-prod-down_binary64_5637`
1×	`cbrt-unprod_binary64_5679` `pow-plus_binary64_5651` `pow2_binary64_5647` `prod-exp_binary64_5661` `*-commutative_binary64_5778`

Counts

4 → 73

Calls

4 calls:

5.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series363.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
80.0ms	(cbrt.f64 z)
94.0ms	(cbrt.f64 z)
82.0ms	(cbrt.f64 z)

simplify75.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5309	608

prune318.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 5)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_5677`
11×	`add-sqr-sqrt_binary64_5695` `*-un-lft-identity_binary64_5710` `add-cube-cbrt_binary64_5681`
9×	`unpow-prod-down_binary64_5645`
5×	`add-exp-log_binary64_5674` `pow1_binary64_5656`
4×	`pow1/3_binary64_5648` `add-cbrt-cube_binary64_5682` `add-log-exp_binary64_5675`
3×	`pow-unpow_binary64_5643`
2×	`pow-pow_binary64_5638`
1×	`pow-exp_binary64_5634` `pow-to-exp_binary64_5635` `sqr-pow_binary64_5742`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
10.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 5)

series427.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt.f64 z)
82.0ms	(cbrt.f64 z)
81.0ms	(cbrt.f64 z)
180.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 5)

simplify78.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5190	599

prune442.0ms

Filtered

57 candidates to 69 candidates (-21.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

regimes593.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample502.0ms

Algorithm

intervals

Results

260.0ms	8000×	body	80	valid
18.0ms	499×	body	80	invalid

Details

analyze278.0ms

sample26.0ms

simplify12.0ms

prune21.0ms

localize9.0ms

rewrite10.0ms

series62.0ms

simplify85.0ms

prune142.0ms

localize11.0ms

rewrite21.0ms

series130.0ms

simplify50.0ms

prune172.0ms

localize27.0ms

rewrite11.0ms

series363.0ms

simplify75.0ms

prune318.0ms

localize20.0ms

rewrite14.0ms

series427.0ms

simplify78.0ms

prune442.0ms

regimes593.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample502.0ms

Profiling