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

sample45.0ms

Algorithm

intervals

Results

13.0ms	29×	body	1280	valid
11.0ms	177×	body	80	valid
9.0ms	34×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	4×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	19	9
1	19	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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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`
4×	`sum-log_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 43

Calls

3 calls:

4.0ms	(+.f64 x (sin.f64 y))
7.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
8.0ms	(*.f64 z (cos.f64 y))

series23.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 x (sin.f64 y))
11.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
7.0ms	(*.f64 z (cos.f64 y))

simplify60.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5008	398

prune60.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.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))

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 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series62.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
13.0ms	(cbrt.f64 (cos.f64 y))
15.0ms	(cbrt.f64 (cos.f64 y))
13.0ms	(cbrt.f64 (cos.f64 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5054	469

prune72.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite16.0ms

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:

8.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1.0ms	(cbrt.f64 (cos.f64 y))

series44.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cos.f64 y) 2)
20.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
14.0ms	(cbrt.f64 (cos.f64 y))

simplify37.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4923	527
1	4923	527

prune73.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.4b	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)

series62.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt.f64 (cos.f64 y))
15.0ms	(cbrt.f64 (cos.f64 y))
13.0ms	(cbrt.f64 (cos.f64 y))
20.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)

simplify54.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4871	432
1	4871	432

prune55.0ms

Filtered

48 candidates to 69 candidates (-43.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

regimes225.0ms

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	11	9
1	11	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

550.0ms	5579×	body	80	valid
439.0ms	986×	body	1280	valid
220.0ms	838×	body	640	valid
75.0ms	411×	body	320	valid
24.0ms	186×	body	160	valid

Details

analyze360.0ms

sample45.0ms

simplify5.0ms

prune3.0ms

localize8.0ms

rewrite20.0ms

series23.0ms

simplify60.0ms

prune60.0ms

localize12.0ms

rewrite12.0ms

series62.0ms

simplify46.0ms

prune72.0ms

localize15.0ms

rewrite16.0ms

series44.0ms

simplify37.0ms

prune73.0ms

localize17.0ms

rewrite10.0ms

series62.0ms

simplify54.0ms

prune55.0ms

regimes225.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling