Details

analyze160.0ms

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

sample26.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
1.0ms	11×	body	80	nan

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	50	23
1	50	23

prune4.0ms

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:

0.9b	(/.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)

rewrite28.0ms

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` `insert-posit16`
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 → 74

Calls

4 calls:

4.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
8.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
9.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
4.0ms	(*.f64 PI.f64 2/3)

series160.0ms

Counts

4 → 10

Calls

4 calls:

51.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
53.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
56.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms	(*.f64 PI.f64 2/3)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	161	9
1	161	9
0	161	9
1	161	9
0	1	3
1	1	3
0	146	9
1	146	9
0	146	9
1	146	9
0	1	3
1	1	3
0	67	9
1	67	9
0	67	9
1	67	9
0	1	3
1	1	3

simplify126.0ms

Counts

84 → 84

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5341	1364

prune85.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	4	85

Merged error: 0.0b

Counts

85 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (sin.f64 PI.f64) (sin.f64 (/.f64 (acos.f64 (/.f64 g h)) 3)))
0.9b	(/.f64 (acos.f64 (/.f64 g h)) 3)
0.9b	(/.f64 (acos.f64 (/.f64 g h)) 3)
58.2b	(sin.f64 PI.f64)

rewrite20.0ms

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` `pow1_binary64` `associate-/l_binary64`
4×	`add-log-exp_binary64` `insert-posit16`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`acos-asin_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `sin-PI_binary64` `prod-exp_binary64` `sin-mult_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

7.0ms	(*.f64 (sin.f64 PI.f64) (sin.f64 (/.f64 (acos.f64 (/.f64 g h)) 3)))
4.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
4.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
2.0ms	(sin.f64 PI.f64)

series152.0ms

Counts

4 → 10

Calls

4 calls:

52.0ms	(*.f64 (sin.f64 PI.f64) (sin.f64 (/.f64 (acos.f64 (/.f64 g h)) 3)))
49.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
51.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
0.0ms	(sin.f64 PI.f64)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	62	9
1	62	9
0	62	9
1	62	9
0	1	3
1	1	3
0	62	9
1	62	9
0	62	9
1	62	9
0	1	3
1	1	3
0	93	9
1	93	9
0	93	9
1	93	9
0	1	3
1	1	3

simplify216.0ms

Counts

97 → 97

Iterations

Useful iterations: 0 (190.0ms)

Iter	Nodes	Cost
0	4597	1055
1	4597	1055

prune95.0ms

Filtered

78 candidates to 97 candidates (-24.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
0.9b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite8.0ms

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` `div-sub_binary64` `insert-posit16`
1×	`cbrt-undiv_binary64` `cos-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 38

Calls

2 calls:

3.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
4.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

series98.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
49.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	62	9
1	62	9
0	62	9
1	62	9
0	1	3
1	1	3
0	77	9
1	77	9
0	77	9
1	77	9
0	1	3
1	1	3

simplify231.0ms

Counts

44 → 44

Iterations

Useful iterations: 0 (209.0ms)

Iter	Nodes	Cost
0	5001	611

prune30.0ms

Filtered

35 candidates to 44 candidates (-25.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	45	2	47

Merged error: 0b

Counts

47 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
0.9b	(*.f64 (acos.f64 (/.f64 g h)) 1/3)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`add-log-exp_binary64` `insert-posit16`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 27

Calls

2 calls:

2.0ms	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
4.0ms	(*.f64 (acos.f64 (/.f64 g h)) 1/3)

series100.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
50.0ms	(*.f64 (acos.f64 (/.f64 g h)) 1/3)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	52	9
1	52	9
0	52	9
1	52	9
0	1	3
1	1	3
0	67	9
1	67	9
0	67	9
1	67	9
0	1	3
1	1	3

simplify119.0ms

Counts

33 → 33

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5096	349

prune18.0ms

Filtered

24 candidates to 33 candidates (-37.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	33	2	35

Merged error: 0b

Counts

35 → 2

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	39
1	21	39

end0.0ms

sample754.0ms

Algorithm

intervals

Results

565.0ms	8000×	body	80	valid
36.0ms	553×	body	80	nan

Iter	Nodes	Cost
0	161	9
1	161	9
0	161	9
1	161	9
0	1	3
1	1	3
0	146	9
1	146	9
0	146	9
1	146	9
0	1	3
1	1	3
0	67	9
1	67	9
0	67	9
1	67	9
0	1	3
1	1	3

Iter	Nodes	Cost
0	62	9
1	62	9
0	62	9
1	62	9
0	1	3
1	1	3
0	62	9
1	62	9
0	62	9
1	62	9
0	1	3
1	1	3
0	93	9
1	93	9
0	93	9
1	93	9
0	1	3
1	1	3

Iter	Nodes	Cost
0	161	9
1	161	9
0	161	9
1	161	9
0	1	3
1	1	3
0	146	9
1	146	9
0	146	9
1	146	9
0	1	3
1	1	3
0	67	9
1	67	9
0	67	9
1	67	9
0	1	3
1	1	3

Iter	Nodes	Cost
0	62	9
1	62	9
0	62	9
1	62	9
0	1	3
1	1	3
0	62	9
1	62	9
0	62	9
1	62	9
0	1	3
1	1	3
0	93	9
1	93	9
0	93	9
1	93	9
0	1	3
1	1	3

Details

analyze160.0ms

sample26.0ms

simplify26.0ms

prune4.0ms

localize12.0ms

rewrite28.0ms

series160.0ms

simplify126.0ms

prune85.0ms

localize19.0ms

rewrite20.0ms

series152.0ms

simplify216.0ms

prune95.0ms

localize7.0ms

rewrite8.0ms

series98.0ms

simplify231.0ms

prune30.0ms

localize7.0ms

rewrite8.0ms

series100.0ms

simplify119.0ms

prune18.0ms

regimes17.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample754.0ms

Profiling

Iter	Nodes	Cost
0	161	9
1	161	9
0	161	9
1	161	9
0	1	3
1	1	3
0	146	9
1	146	9
0	146	9
1	146	9
0	1	3
1	1	3
0	67	9
1	67	9
0	67	9
1	67	9
0	1	3
1	1	3

Iter	Nodes	Cost
0	62	9
1	62	9
0	62	9
1	62	9
0	1	3
1	1	3
0	62	9
1	62	9
0	62	9
1	62	9
0	1	3
1	1	3
0	93	9
1	93	9
0	93	9
1	93	9
0	1	3
1	1	3