Details

analyze163.0ms

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	20×	body	80	nan

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.0b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b	(*.f64 PI.f64 2/3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `div-sub_binary64`
4×	`associate-+r-_binary64`
3×	`associate-/r_binary64` `acos-asin_binary64` `associate-r_binary64` `acos-neg_binary64` `associate-l_binary64` `associate-/l_binary64` `distribute-frac-neg_binary64`
2×	`cos-diff_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `cos-sum_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
6.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
7.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
4.0ms	(*.f64 PI.f64 2/3)

series114.0ms

Counts

4 → 10

Calls

4 calls:

17.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
22.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
75.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms	(*.f64 PI.f64 2/3)

simplify107.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4923	1420
1	4923	1420

prune66.0ms

Filtered

59 candidates to 80 candidates (-35.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	2	81

Merged error: 1.0b

Counts

81 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(acos.f64 (/.f64 g h))
1.0b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `acos-asin_binary64`
1×	`cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 36

Calls

2 calls:

1.0ms	(acos.f64 (/.f64 g h))
3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

series15.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos.f64 (/.f64 g h))
11.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify169.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	4674	564
1	4674	564

prune37.0ms

Filtered

31 candidates to 42 candidates (-35.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	42	2	44

Merged error: 0b

Counts

44 → 2

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(acos.f64 (/.f64 g h))
0.0b	(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`cbrt-prod_binary64`
6×	`associate-/r*_binary64`
4×	`add-exp-log_binary64`
3×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `acos-asin_binary64`
1×	`cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 48

Calls

2 calls:

1.0ms	(acos.f64 (/.f64 g h))
5.0ms	(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

series40.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(acos.f64 (/.f64 g h))
32.0ms	(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

simplify151.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4537	971
1	4537	971

prune65.0ms

Filtered

43 candidates to 54 candidates (-25.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	54	2	56

Merged error: 0b

Counts

56 → 2

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	31
1	42	31

end0.0ms

sample759.0ms

Algorithm

intervals

Results

571.0ms	8000×	body	80	valid
32.0ms	535×	body	80	nan

Details

analyze163.0ms

sample27.0ms

simplify14.0ms

prune8.0ms

localize12.0ms

rewrite23.0ms

series114.0ms

simplify107.0ms

prune66.0ms

localize9.0ms

rewrite5.0ms

series15.0ms

simplify169.0ms

prune37.0ms

localize14.0ms

rewrite7.0ms

series40.0ms

simplify151.0ms

prune65.0ms

regimes15.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample759.0ms

Profiling