Details

analyze167.0ms

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
25%	68.7%	6.3%	5
25%	65.6%	9.5%	6
37.5%	39%	23.5%	7
37.5%	36.7%	25.9%	8
43.7%	20.7%	35.6%	9
43.7%	19.3%	37%	10
46.8%	10.6%	42.5%	11
46.8%	9.9%	43.3%	12
48.4%	5.4%	46.2%	13
48.4%	5%	46.6%	14

sample27.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
1.0ms	17×	body	80	nan

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	56	16
1	56	16

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: 1.0b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)
1.0b	(cos.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)))
1.0b	(+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))
1.0b	(/.f64 (*.f64 2.0 PI.f64) 3.0)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`times-frac_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `div-sub_binary64`
4×	`pow1_binary64` `associate-+r-_binary64` `associate-/l*_binary64` `div-inv_binary64`
3×	`acos-asin_binary64` `cbrt-undiv_binary64` `acos-neg_binary64` `div-exp_binary64` `distribute-frac-neg_binary64`
2×	`cos-diff_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `distribute-rgt-out_binary64` `prod-exp_binary64` `cos-sum_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 76

Calls

4 calls:

4.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)
15.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)))
11.0ms	(+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))
5.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)

series28.0ms

Counts

4 → 10

Calls

4 calls:

4.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)
17.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)))
7.0ms	(+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))
0.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5326	1073

prune98.0ms

Filtered

66 candidates to 86 candidates (-30.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (*.f64 2.0 PI.f64) 3.0)
1.0b	(/.f64 PI.f64 3.0)
1.0b	(/.f64 PI.f64 3.0)
58.2b	(sin.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 PI.f64 3.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
21×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/r*_binary64`
7×	`associate-/l*_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`cbrt-unprod_binary64` `sin-sum_binary64` `prod-exp_binary64`

Counts

4 → 83

Calls

4 calls:

5.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)
3.0ms	(/.f64 PI.f64 3.0)
3.0ms	(/.f64 PI.f64 3.0)
13.0ms	(sin.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 PI.f64 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)
0.0ms	(/.f64 PI.f64 3.0)
0.0ms	(/.f64 PI.f64 3.0)
0.0ms	(sin.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 PI.f64 3.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4957	690
1	4957	690

prune140.0ms

Filtered

69 candidates to 87 candidates (-26.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	87	3	90

Merged error: 0.0b

Counts

90 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 PI.f64 3.0)) (/.f64 (acos.f64 (/.f64 g h)) 3.0))
1.0b	(/.f64 PI.f64 3.0)
1.0b	(+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 PI.f64 3.0))
1.0b	(/.f64 (*.f64 2.0 PI.f64) 3.0)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64` `times-frac_binary64`
16×	`add-cube-cbrt_binary64`
11×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r*_binary64`
5×	`distribute-rgt-out_binary64`
4×	`pow1_binary64` `associate-/l*_binary64` `div-inv_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64` `frac-sub_binary64`
2×	`flip3-+_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip-+_binary64` `sum-log_binary64`
1×	`distribute-lft1-in_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `acos-asin_binary64` `associate--r-_binary64` `div-sub_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 88

Calls

4 calls:

20.0ms	(-.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 PI.f64 3.0)) (/.f64 (acos.f64 (/.f64 g h)) 3.0))
3.0ms	(/.f64 PI.f64 3.0)
10.0ms	(+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 PI.f64 3.0))
5.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)

series7.0ms

Counts

4 → 6

Calls

4 calls:

7.0ms	(-.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 PI.f64 3.0)) (/.f64 (acos.f64 (/.f64 g h)) 3.0))
0.0ms	(/.f64 PI.f64 3.0)
0.0ms	(+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 PI.f64 3.0))
0.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)

simplify55.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5012	1095

prune97.0ms

Filtered

72 candidates to 94 candidates (-30.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	94	3	97

Merged error: 0.0b

Counts

97 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))
1.0b	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))) 3))
1.0b	(pow.f64 (cos.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))) 3)
1.0b	(/.f64 (*.f64 2.0 PI.f64) 3.0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
5×	`pow1_binary64`
3×	`pow-unpow_binary64` `associate-/r*_binary64` `times-frac_binary64` `div-inv_binary64`
2×	`associate-+r-_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `div-sub_binary64` `div-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `cbrt-unprod_binary64` `acos-asin_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `frac-add_binary64` `distribute-rgt-out_binary64` `acos-neg_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `+-commutative_binary64` `distribute-frac-neg_binary64` `flip-+_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 81

Calls

4 calls:

11.0ms	(+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))
3.0ms	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))) 3))
3.0ms	(pow.f64 (cos.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))) 3)
5.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)

series57.0ms

Counts

4 → 10

Calls

4 calls:

7.0ms	(+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))
20.0ms	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))) 3))
30.0ms	(pow.f64 (cos.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))) 3)
0.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)

simplify60.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4979	1401
1	4979	1401

prune77.0ms

Filtered

55 candidates to 91 candidates (-65.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	91	3	94

Merged error: 0.0b

Counts

94 → 3

regimes254.0ms

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	37	35
1	37	35

end0.0ms

sample772.0ms

Algorithm

intervals

Results

583.0ms	8000×	body	80	valid
34.0ms	559×	body	80	nan

Details

analyze167.0ms

sample27.0ms

simplify7.0ms

prune3.0ms

localize13.0ms

rewrite37.0ms

series28.0ms

simplify63.0ms

prune98.0ms

localize24.0ms

rewrite27.0ms

series0.0ms

simplify52.0ms

prune140.0ms

localize14.0ms

rewrite41.0ms

series7.0ms

simplify55.0ms

prune97.0ms

localize17.0ms

rewrite23.0ms

series57.0ms

simplify60.0ms

prune77.0ms

regimes254.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample772.0ms

Profiling