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

sample57.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
13.0ms	151×	body	80	valid
9.0ms	32×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	158	9
1	158	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 z (sin.f64 y))
0.1b	(*.f64 x (cos.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×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

3 → 47

Calls

3 calls:

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

series34.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
8.0ms	(*.f64 z (sin.f64 y))
8.0ms	(*.f64 x (cos.f64 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4868	397
1	4868	397

prune73.0ms

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: 0.0b

Counts

57 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.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))

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:

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))

series82.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
21.0ms	(cbrt.f64 (sin.f64 y))
18.0ms	(cbrt.f64 (sin.f64 y))
18.0ms	(cbrt.f64 (sin.f64 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4965	482
1	4965	482

prune87.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))

rewrite15.0ms

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 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
3.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))

series120.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
28.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
27.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
27.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5057	440

prune80.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	69	11	80

Merged error: 0.0b

Counts

80 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 5)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64` `add-sqr-sqrt_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 → 49

Calls

4 calls:

3.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 5)

series142.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
27.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
27.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
61.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 5)

simplify63.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4962	504
1	4962	504

prune58.0ms

Filtered

50 candidates to 61 candidates (-22.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	62	10	72

Merged error: 0.0b

Counts

72 → 10

regimes200.0ms

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	58	18
1	58	18

end0.0ms

sample1.7s

Algorithm

intervals

Results

676.0ms	1504×	body	1280	valid
358.0ms	1300×	body	640	valid
284.0ms	4245×	body	80	valid
127.0ms	655×	body	320	valid
39.0ms	296×	body	160	valid

Details

analyze255.0ms

sample57.0ms

simplify11.0ms

prune3.0ms

localize9.0ms

rewrite15.0ms

series34.0ms

simplify46.0ms

prune73.0ms

localize12.0ms

rewrite13.0ms

series82.0ms

simplify50.0ms

prune87.0ms

localize12.0ms

rewrite15.0ms

series120.0ms

simplify49.0ms

prune80.0ms

localize16.0ms

rewrite13.0ms

series142.0ms

simplify63.0ms

prune58.0ms

regimes200.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling