Details

analyze360.0ms

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
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

sample44.0ms

Algorithm

intervals

Results

19.0ms	42×	body	1024	valid
12.0ms	188×	body	128	valid
3.0ms	16×	body	512	valid
1.0ms	10×	body	256	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+.f64 x (sin.f64 y))
4.0ms	(*.f64 z (cos.f64 y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+.f64 x (sin.f64 y))
57.0ms	(*.f64 z (cos.f64 y))

simplify90.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4871	315
1	4871	315

prune29.0ms

Filtered

25 candidates to 36 candidates (-44.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	6	37

Merged error: 0b

Counts

37 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series528.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
119.0ms	(cbrt.f64 (cos.f64 y))
110.0ms	(cbrt.f64 (cos.f64 y))
125.0ms	(cbrt.f64 (cos.f64 y))

simplify80.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5637	772

prune59.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Merged error: 0b

Counts

91 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series653.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
158.0ms	(cbrt.f64 z)
154.0ms	(cbrt.f64 z)
168.0ms	(cbrt.f64 z)

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4935	588
1	4935	588

prune61.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0b

Counts

91 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (cbrt.f64 (+.f64 x (sin.f64 y))))
0.6b	(cbrt.f64 (+.f64 x (sin.f64 y)))
0.6b	(cbrt.f64 (+.f64 x (sin.f64 y)))
0.6b	(cbrt.f64 (+.f64 x (sin.f64 y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (cbrt.f64 (+.f64 x (sin.f64 y))))
3.0ms	(cbrt.f64 (+.f64 x (sin.f64 y)))
3.0ms	(cbrt.f64 (+.f64 x (sin.f64 y)))
3.0ms	(cbrt.f64 (+.f64 x (sin.f64 y)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(*.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (cbrt.f64 (+.f64 x (sin.f64 y))))
121.0ms	(cbrt.f64 (+.f64 x (sin.f64 y)))
119.0ms	(cbrt.f64 (+.f64 x (sin.f64 y)))
129.0ms	(cbrt.f64 (+.f64 x (sin.f64 y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5093	2189

prune91.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	107	6	113

Merged error: 0b

Counts

113 → 6

regimes47.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	30
1	16	30

end0.0ms

sample1.2s

Algorithm

intervals

Results

486.0ms	1277×	body	1024	valid
373.0ms	5751×	body	128	valid
140.0ms	644×	body	512	valid
47.0ms	326×	body	256	valid
3.0ms	2×	body	2048	valid

Details

analyze360.0ms

sample44.0ms

simplify8.0ms

prune1.0ms

localize9.0ms

rewrite10.0ms

series93.0ms

simplify90.0ms

prune29.0ms

localize13.0ms

rewrite20.0ms

series528.0ms

simplify80.0ms

prune59.0ms

localize13.0ms

rewrite15.0ms

series653.0ms

simplify60.0ms

prune61.0ms

localize13.0ms

rewrite35.0ms

series500.0ms

simplify52.0ms

prune91.0ms

regimes47.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling