Details

analyze298.0ms

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
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

sample62.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
11.0ms	39×	body	640	valid
9.0ms	26×	body	320	valid
9.0ms	133×	body	80	valid
2.0ms	11×	body	160	valid

simplify6.0ms

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
0.1b	(*.f64 x (sin.f64 y))
0.2b	(*.f64 z (cos.f64 y))

rewrite17.0ms

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:

6.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
5.0ms	(*.f64 x (sin.f64 y))
5.0ms	(*.f64 z (cos.f64 y))

series32.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
7.0ms	(*.f64 x (sin.f64 y))
7.0ms	(*.f64 z (cos.f64 y))

simplify78.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5167	396

prune56.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	46	10	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	10	57

Merged error: 0.0b

Counts

57 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.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))

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:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

series69.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
15.0ms	(cbrt.f64 (cos.f64 y))
15.0ms	(cbrt.f64 (cos.f64 y))
15.0ms	(cbrt.f64 (cos.f64 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5054	469

prune58.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

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

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 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series68.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
18.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)

simplify55.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune68.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	82	14	96

Merged error: 0.0b

Counts

96 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
7.3b	(cbrt.f64 (*.f64 x (sin.f64 y)))
7.3b	(cbrt.f64 (*.f64 x (sin.f64 y)))
7.3b	(cbrt.f64 (*.f64 x (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:

7.0ms	(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
25.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
25.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
27.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4994	446
1	4994	446

prune29.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	70	14	84

Merged error: 0.0b

Counts

84 → 14

regimes190.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	18
1	15	18

end0.0ms

sample1.8s

Algorithm

intervals

Results

704.0ms	1457×	body	1280	valid
370.0ms	1208×	body	640	valid
309.0ms	4387×	body	80	valid
133.0ms	627×	body	320	valid
48.0ms	321×	body	160	valid

Details

analyze298.0ms

sample62.0ms

simplify6.0ms

prune3.0ms

localize9.0ms

rewrite17.0ms

series32.0ms

simplify78.0ms

prune56.0ms

localize13.0ms

rewrite14.0ms

series69.0ms

simplify57.0ms

prune58.0ms

localize13.0ms

rewrite13.0ms

series68.0ms

simplify55.0ms

prune68.0ms

localize13.0ms

rewrite18.0ms

series114.0ms

simplify59.0ms

prune29.0ms

regimes190.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling