Details

analyze296.0ms

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

sample70.0ms

Algorithm

intervals

Results

27.0ms	51×	body	1280	valid
12.0ms	42×	body	640	valid
10.0ms	140×	body	80	valid
3.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune8.0ms

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))
0.1b	(*.f64 x (sin.f64 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_559`
7×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `pow1_binary64_520` `add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
6×	`associate-l_binary64_634` `associate-r_binary64_633`
5×	`add-log-exp_binary64_539`
2×	`unswap-sqr_binary64_602` `cbrt-unprod_binary64_543` `*-commutative_binary64_642` `pow-prod-down_binary64_501` `prod-exp_binary64_525`
1×	`+-commutative_binary64_641` `flip3-+_binary64_572` `flip-+_binary64_599` `sum-log_binary64_489`

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))

series145.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
31.0ms	(*.f64 z (cos.f64 y))
40.0ms	(*.f64 x (sin.f64 y))

simplify98.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5739	625

prune244.0ms

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: 0.1b

Counts

57 → 9

localize21.0ms

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))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_541`
23×	`add-sqr-sqrt_binary64_559`
15×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
11×	`pow1_binary64_520`
9×	`pow1/3_binary64_512`
6×	`associate-l_binary64_634` `swap-sqr_binary64_601` `associate-r_binary64_633` `add-exp-log_binary64_538`
4×	`add-cbrt-cube_binary64_546` `unswap-sqr_binary64_602` `add-log-exp_binary64_539`
2×	`pow-prod-up_binary64_500` `pow-sqr_binary64_607` `pow-prod-down_binary64_501`
1×	`pow-plus_binary64_515` `pow2_binary64_511` `cbrt-unprod_binary64_543` `*-commutative_binary64_642` `prod-exp_binary64_525`

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

series333.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
71.0ms	(cbrt.f64 (cos.f64 y))
78.0ms	(cbrt.f64 (cos.f64 y))
76.0ms	(cbrt.f64 (cos.f64 y))

simplify121.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4881	803
1	4881	803

prune375.0ms

Filtered

61 candidates to 85 candidates (-39.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	83	11	94

Merged error: 0.0b

Counts

94 → 11

localize21.0ms

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_541`
11×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559`
10×	`pow1_binary64_520` `add-exp-log_binary64_538`
6×	`add-cbrt-cube_binary64_546` `unpow-prod-down_binary64_509` `associate-r_binary64_633`
4×	`add-log-exp_binary64_539`
3×	`cbrt-unprod_binary64_543` `pow-unpow_binary64_507` `pow-prod-down_binary64_501` `prod-exp_binary64_525`
2×	`pow1/3_binary64_512` `sqr-pow_binary64_606` `unpow2_binary64_517`
1×	`pow-to-exp_binary64_499` `associate-l_binary64_634` `pow-exp_binary64_498` `pow-pow_binary64_502` `*-commutative_binary64_642`

Counts

4 → 66

Calls

4 calls:

8.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
4.0ms	(pow.f64 (cos.f64 y) 2)
7.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1.0ms	(cbrt.f64 (cos.f64 y))

series233.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
16.0ms	(pow.f64 (cos.f64 y) 2)
112.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
74.0ms	(cbrt.f64 (cos.f64 y))

simplify64.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5149	852

prune354.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	76	13	89

Merged error: 0.0b

Counts

89 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
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

36×	`cbrt-prod_binary64_541`
30×	`add-sqr-sqrt_binary64_559`
14×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
11×	`unpow-prod-down_binary64_509` `associate-r_binary64_633`
10×	`unswap-sqr_binary64_602`
7×	`pow1_binary64_520` `add-exp-log_binary64_538`
6×	`associate-l_binary64_634` `unpow2_binary64_517`
5×	`sqr-pow_binary64_606`
4×	`pow1/3_binary64_512` `add-cbrt-cube_binary64_546` `add-log-exp_binary64_539`
3×	`pow-unpow_binary64_507`
2×	`pow-prod-down_binary64_501`
1×	`pow-to-exp_binary64_499` `pow-exp_binary64_498` `pow-pow_binary64_502` `cbrt-unprod_binary64_543` `cube-unmult_binary64_540` `*-commutative_binary64_642` `prod-exp_binary64_525`

Counts

4 → 85

Calls

4 calls:

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

series206.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
15.0ms	(pow.f64 (cos.f64 y) 2)
108.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
76.0ms	(cbrt.f64 (cos.f64 y))

simplify93.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5544	1161

prune546.0ms

Filtered

68 candidates to 97 candidates (-42.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	97	13	110

Merged error: 0.0b

Counts

110 → 13

regimes440.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	26
1	18	26

end0.0ms

sample1.8s

Algorithm

intervals

Results

696.0ms	1503×	body	1280	valid
375.0ms	1294×	body	640	valid
307.0ms	4281×	body	80	valid
126.0ms	636×	body	320	valid
40.0ms	286×	body	160	valid

Details

analyze296.0ms

sample70.0ms

simplify11.0ms

prune8.0ms

localize13.0ms

rewrite14.0ms

series145.0ms

simplify98.0ms

prune244.0ms

localize21.0ms

rewrite12.0ms

series333.0ms

simplify121.0ms

prune375.0ms

localize21.0ms

rewrite22.0ms

series233.0ms

simplify64.0ms

prune354.0ms

localize20.0ms

rewrite16.0ms

series206.0ms

simplify93.0ms

prune546.0ms

regimes440.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling