Details

analyze255.0ms

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

19.0ms	44×	body	1280	valid
11.0ms	42×	body	640	valid
9.0ms	142×	body	80	valid
3.0ms	15×	body	320	valid
2.0ms	13×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

prune3.0ms

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))

rewrite18.0ms

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:

8.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
4.0ms	(*.f64 x (cos.f64 y))
5.0ms	(*.f64 z (sin.f64 y))

series30.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
7.0ms	(*.f64 x (cos.f64 y))
8.0ms	(*.f64 z (sin.f64 y))

simplify65.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5163	392

prune71.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Merged error: 0.0b

Counts

57 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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:

8.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series63.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
15.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
16.0ms	(cbrt.f64 z)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune88.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
23.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
25.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
23.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4961	446
1	4961	446

prune76.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	69	9	78

Merged error: 0.0b

Counts

78 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`

Counts

4 → 36

Calls

4 calls:

3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

series97.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
26.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
23.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
25.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4996	312
1	4996	312

prune46.0ms

Filtered

40 candidates to 48 candidates (-20.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

regimes192.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

692.0ms	1538×	body	1280	valid
348.0ms	1242×	body	640	valid
293.0ms	4313×	body	80	valid
123.0ms	612×	body	320	valid
40.0ms	295×	body	160	valid

Details

analyze255.0ms

sample54.0ms

simplify5.0ms

prune3.0ms

localize9.0ms

rewrite18.0ms

series30.0ms

simplify65.0ms

prune71.0ms

localize12.0ms

rewrite14.0ms

series63.0ms

simplify47.0ms

prune88.0ms

localize13.0ms

rewrite17.0ms

series104.0ms

simplify48.0ms

prune76.0ms

localize18.0ms

rewrite14.0ms

series97.0ms

simplify44.0ms

prune46.0ms

regimes192.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling