Details

analyze258.0ms

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

sample54.0ms

Algorithm

intervals

Results

29.0ms	72×	body	1024	valid
10.0ms	149×	body	128	valid
5.0ms	25×	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	12	14
1	12	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 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

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

series244.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
55.0ms	(*.f64 x (cos.f64 y))
56.0ms	(*.f64 z (sin.f64 y))

simplify77.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5134	619

prune40.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite18.0ms

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:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))

series543.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
128.0ms	(cbrt.f64 (sin.f64 y))
123.0ms	(cbrt.f64 (sin.f64 y))
131.0ms	(cbrt.f64 (sin.f64 y))

simplify61.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5045	797

prune62.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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:

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

series657.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt.f64 x)
156.0ms	(cbrt.f64 x)
154.0ms	(cbrt.f64 x)
186.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

simplify62.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4935	588
1	4935	588

prune60.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 y) 2)
0.3b	(.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
17.2b	(cbrt.f64 (pow.f64 (sin.f64 y) 2))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
6×	`associate-r_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`unpow2_binary64` `pow1/3_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `associate-l_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 66

Calls

4 calls:

3.0ms	(pow.f64 (sin.f64 y) 2)
10.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
3.0ms	(cbrt.f64 (pow.f64 (sin.f64 y) 2))

series384.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(pow.f64 (sin.f64 y) 2)
56.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)))
128.0ms	(cbrt.f64 (sin.f64 y))
170.0ms	(cbrt.f64 (pow.f64 (sin.f64 y) 2))

simplify93.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4798	707
1	4798	707

prune48.0ms

Filtered

52 candidates to 78 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	5	5
Picked	1	0	1
Done	1	1	2
Total	79	7	86

Merged error: 0.0b

Counts

86 → 7

regimes50.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	16	26

end0.0ms

sample1.5s

Algorithm

intervals

Results

719.0ms	2012×	body	1024	valid
307.0ms	4477×	body	128	valid
217.0ms	1010×	body	512	valid
69.0ms	494×	body	256	valid
6.0ms	7×	body	2048	valid

Details

analyze258.0ms

sample54.0ms

simplify8.0ms

prune1.0ms

localize9.0ms

rewrite17.0ms

series244.0ms

simplify77.0ms

prune40.0ms

localize13.0ms

rewrite18.0ms

series543.0ms

simplify61.0ms

prune62.0ms

localize13.0ms

rewrite16.0ms

series657.0ms

simplify62.0ms

prune60.0ms

localize14.0ms

rewrite22.0ms

series384.0ms

simplify93.0ms

prune48.0ms

regimes50.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling