Details

analyze280.0ms

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

sample51.0ms

Algorithm

intervals

Results

21.0ms	61×	body	1024	valid
9.0ms	133×	body	128	valid
8.0ms	39×	body	512	valid
3.0ms	22×	body	256	valid
1.0ms	1×	body	2048	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune1.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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

series256.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
60.0ms	(*.f64 z (cos.f64 y))
61.0ms	(*.f64 x (sin.f64 y))

simplify77.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5138	625

prune51.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	44	12	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	12	57

Merged error: 0.0b

Counts

57 → 12

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))

rewrite17.0ms

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))

series556.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
128.0ms	(cbrt.f64 (cos.f64 y))
115.0ms	(cbrt.f64 (cos.f64 y))
116.0ms	(cbrt.f64 (cos.f64 y))

simplify79.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5637	772

prune66.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	85	12	97

Merged error: 0.0b

Counts

97 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (sin.f64 y))
0.2b	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`prod-exp_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
9×	`pow1_binary64` `associate-r_binary64`
6×	`cbrt-unprod_binary64` `cbrt-prod_binary64`
5×	`pow-exp_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `unpow-prod-down_binary64`
2×	`pow-prod-down_binary64` `*-commutative_binary64`
1×	`unpow2_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `unpow1/3_binary64`

Counts

4 → 72

Calls

4 calls:

4.0ms	(*.f64 x (sin.f64 y))
10.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series262.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(*.f64 x (sin.f64 y))
54.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
22.0ms	(pow.f64 (cos.f64 y) 2)
121.0ms	(cbrt.f64 (cos.f64 y))

simplify67.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5028	705

prune61.0ms

Filtered

54 candidates to 84 candidates (-55.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

rewrite20.0ms

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

series380.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
21.0ms	(pow.f64 (cos.f64 y) 2)
128.0ms	(cbrt.f64 (cos.f64 y))
176.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

simplify51.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5036	852

prune53.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	79	11	90

Merged error: 0.0b

Counts

90 → 11

regimes68.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	27
1	19	27

end0.0ms

sample1.6s

Algorithm

intervals

Results

747.0ms	2015×	body	1024	valid
303.0ms	4471×	body	128	valid
226.0ms	1053×	body	512	valid
65.0ms	457×	body	256	valid
3.0ms	4×	body	2048	valid

Details

analyze280.0ms

sample51.0ms

simplify8.0ms

prune1.0ms

localize13.0ms

rewrite16.0ms

series256.0ms

simplify77.0ms

prune51.0ms

localize13.0ms

rewrite17.0ms

series556.0ms

simplify79.0ms

prune66.0ms

localize16.0ms

rewrite25.0ms

series262.0ms

simplify67.0ms

prune61.0ms

localize14.0ms

rewrite20.0ms

series380.0ms

simplify51.0ms

prune53.0ms

regimes68.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling