Details

analyze260.0ms

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

20.0ms	44×	body	1280	valid
9.0ms	148×	body	80	valid
8.0ms	28×	body	640	valid
4.0ms	23×	body	320	valid
2.0ms	13×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

prune4.0ms

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))

rewrite15.0ms

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

series40.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
12.0ms	(*.f64 x (cos.f64 y))
10.0ms	(*.f64 z (sin.f64 y))

simplify66.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5163	392

prune76.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Merged error: 0.1b

Counts

57 → 9

localize12.0ms

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`
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)

series75.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
17.0ms	(cbrt.f64 z)
17.0ms	(cbrt.f64 z)
19.0ms	(cbrt.f64 z)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune102.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	82	12	94

Merged error: 0.0b

Counts

94 → 12

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))))
9.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))
9.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))
9.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite18.0ms

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)))
5.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
26.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
25.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
26.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4961	446
1	4961	446

prune87.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	71	11	82

Merged error: 0.0b

Counts

82 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 (sin.f64 y))
9.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))
9.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 (sin.f64 y))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 z)
20.0ms	(cbrt.f64 (sin.f64 y))
25.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
25.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4939	279
1	4939	279

prune45.0ms

Filtered

42 candidates to 52 candidates (-23.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	51	12	63

Merged error: 0.0b

Counts

63 → 12

regimes232.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	23
1	20	23

end0.0ms

sample1.7s

Algorithm

intervals

Results

663.0ms	1445×	body	1280	valid
352.0ms	1218×	body	640	valid
299.0ms	4342×	body	80	valid
120.0ms	621×	body	320	valid
53.0ms	374×	body	160	valid

Details

analyze260.0ms

sample54.0ms

simplify5.0ms

prune4.0ms

localize9.0ms

rewrite15.0ms

series40.0ms

simplify66.0ms

prune76.0ms

localize12.0ms

rewrite11.0ms

series75.0ms

simplify48.0ms

prune102.0ms

localize13.0ms

rewrite18.0ms

series117.0ms

simplify49.0ms

prune87.0ms

localize18.0ms

rewrite10.0ms

series88.0ms

simplify67.0ms

prune45.0ms

regimes232.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling