Details

analyze281.0ms

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
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

sample47.0ms

Algorithm

intervals

Results

17.0ms	40×	body	1280	valid
10.0ms	171×	body	80	valid
6.0ms	23×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	11×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	226	9
1	226	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 x (cos.f64 y))
0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.1b	(*.f64 z (sin.f64 y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`diff-log_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

3 → 43

Calls

3 calls:

4.0ms	(+.f64 x (cos.f64 y))
7.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
4.0ms	(*.f64 z (sin.f64 y))

series32.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 x (cos.f64 y))
18.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms	(*.f64 z (sin.f64 y))

simplify51.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5209	415

prune61.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	8	53

Merged error: 0.0b

Counts

53 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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 (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))

series76.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
19.0ms	(cbrt.f64 (sin.f64 y))
17.0ms	(cbrt.f64 (sin.f64 y))
17.0ms	(cbrt.f64 (sin.f64 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4965	482
1	4965	482

prune80.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
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 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite12.0ms

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

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune90.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

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))))
8.3b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.3b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.3b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite16.0ms

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)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
27.0ms	(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)))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4961	446
1	4961	446

prune54.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	2	4	6
Picked	0	1	1
Done	1	2	3
Total	72	8	80

Merged error: 0.0b

Counts

80 → 8

regimes237.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

466.0ms	1006×	body	1280	valid
345.0ms	5583×	body	80	valid
215.0ms	784×	body	640	valid
86.0ms	405×	body	320	valid
30.0ms	222×	body	160	valid

Details

analyze281.0ms

sample47.0ms

simplify13.0ms

prune3.0ms

localize9.0ms

rewrite18.0ms

series32.0ms

simplify51.0ms

prune61.0ms

localize13.0ms

rewrite13.0ms

series76.0ms

simplify49.0ms

prune80.0ms

localize13.0ms

rewrite12.0ms

series75.0ms

simplify50.0ms

prune90.0ms

localize13.0ms

rewrite16.0ms

series116.0ms

simplify46.0ms

prune54.0ms

regimes237.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling