Details

analyze162.0ms

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

sample28.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
1.0ms	22×	body	80	nan

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	53	14
1	53	14

prune10.0ms

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

rewrite24.0ms

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:

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

series32.0ms

Counts

4 → 10

Calls

4 calls:

20.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
4.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
7.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
0.0ms	(*.f64 PI.f64 2/3)

simplify71.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5026	857

prune78.0ms

Filtered

59 candidates to 80 candidates (-35.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	2	81

Merged error: 1.0b

Counts

81 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(asin.f64 (/.f64 (neg.f64 g) h))
0.0b	(-.f64 (*.f64 PI.f64 5/6) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3))
0.2b	(/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b	(cos.f64 (-.f64 (*.f64 PI.f64 5/6) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `asin-acos_binary64`
3×	`associate-/r_binary64` `div-sub_binary64` `associate-/l_binary64` `distribute-frac-neg_binary64`
2×	`sub-neg_binary64` `associate--r-_binary64` `cos-sum_binary64` `asin-neg_binary64`
1×	`flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `cos-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

4 → 60

Calls

4 calls:

1.0ms	(asin.f64 (/.f64 (neg.f64 g) h))
6.0ms	(-.f64 (*.f64 PI.f64 5/6) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3))
3.0ms	(/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3)
8.0ms	(cos.f64 (-.f64 (*.f64 PI.f64 5/6) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(asin.f64 (/.f64 (neg.f64 g) h))
8.0ms	(-.f64 (*.f64 PI.f64 5/6) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms	(/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3)
22.0ms	(cos.f64 (-.f64 (*.f64 PI.f64 5/6) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3)))

simplify53.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4828	873
1	4828	873

prune66.0ms

Filtered

54 candidates to 72 candidates (-33.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	2	74

Merged error: 1.0b

Counts

74 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

1.0b	(cos.f64 (-.f64 PI.f64 (/.f64 (acos.f64 (/.f64 g h)) 3)))
1.0b	(/.f64 (acos.f64 (/.f64 g h)) 3)
1.0b	(-.f64 PI.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `pow1_binary64` `acos-asin_binary64` `div-sub_binary64` `associate-/l_binary64`
2×	`sub-neg_binary64` `associate--r-_binary64` `difference-of-squares_binary64` `cos-sum_binary64`
1×	`flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `cos-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

3 → 53

Calls

3 calls:

8.0ms	(cos.f64 (-.f64 PI.f64 (/.f64 (acos.f64 (/.f64 g h)) 3)))
3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
7.0ms	(-.f64 PI.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

series27.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(cos.f64 (-.f64 PI.f64 (/.f64 (acos.f64 (/.f64 g h)) 3)))
4.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
6.0ms	(-.f64 PI.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5159	657

prune59.0ms

Filtered

47 candidates to 62 candidates (-31.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	62	2	64

Merged error: 0b

Counts

64 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3)))
0.0b	(-.f64 (.f64 (neg.f64 (/.f64 (sqrt.f64 3) 2)) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
0.2b	(/.f64 (asin.f64 (/.f64 g h)) 3)
0.2b	(/.f64 (asin.f64 (/.f64 g h)) 3)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
4×	`asin-acos_binary64` `div-sub_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`cbrt-undiv_binary64` `cos-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

5.0ms	(*.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3)))
10.0ms	(-.f64 (.f64 (neg.f64 (/.f64 (sqrt.f64 3) 2)) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
4.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)
4.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)

series61.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(*.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3)))
40.0ms	(-.f64 (.f64 (neg.f64 (/.f64 (sqrt.f64 3) 2)) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
4.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)
4.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)

simplify36.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4874	1279
1	4874	1279

prune111.0ms

Filtered

72 candidates to 99 candidates (-37.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

regimes129.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	99	25
1	99	25

end0.0ms

sample788.0ms

Algorithm

intervals

Results

584.0ms	8000×	body	80	valid
37.0ms	564×	body	80	nan

Details

analyze162.0ms

sample28.0ms

simplify6.0ms

prune10.0ms

localize12.0ms

rewrite24.0ms

series32.0ms

simplify71.0ms

prune78.0ms

localize11.0ms

rewrite20.0ms

series37.0ms

simplify53.0ms

prune66.0ms

localize9.0ms

rewrite20.0ms

series27.0ms

simplify48.0ms

prune59.0ms

localize14.0ms

rewrite25.0ms

series61.0ms

simplify36.0ms

prune111.0ms

regimes129.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample788.0ms

Profiling