Details

analyze166.0ms

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

simplify22.0ms

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	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.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)

rewrite31.0ms

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)
9.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.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))
7.0ms	(*.f64 PI.f64 2/3)

series403.0ms

Counts

4 → 10

Calls

4 calls:

102.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
159.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
142.0ms	(+.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	627	2658
1	627	2658
0	627	2658
1	627	2658
0	1	3
1	1	3
0	702	2676
1	702	2676
0	702	2676
1	702	2676
0	1	3
1	1	3
0	298	1756
1	298	1756
0	298	1756
1	298	1756
0	1	3
1	1	3

simplify127.0ms

Counts

84 → 84

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5341	1364

prune83.0ms

Filtered

66 candidates to 84 candidates (-27.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	3	85

Merged error: 0.0b

Counts

85 → 3

localize23.0ms

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)

series291.0ms

Counts

4 → 10

Calls

4 calls:

92.0ms	(*.f64 (sin.f64 PI.f64) (sin.f64 (/.f64 (acos.f64 (/.f64 g h)) 3)))
98.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
101.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
0.0ms	(sin.f64 PI.f64)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	261	1712
1	261	1712
0	261	1712
1	261	1712
0	1	3
1	1	3
0	261	1712
1	261	1712
0	261	1712
1	261	1712
0	1	3
1	1	3
0	187	9
1	187	9
0	187	9
1	187	9
0	1	3
1	1	3

simplify218.0ms

Counts

97 → 97

Iterations

Useful iterations: 0 (191.0ms)

Iter	Nodes	Cost
0	4597	1055
1	4597	1055

prune99.0ms

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	1	1	2
Picked	0	1	1
Done	0	0	0
Total	97	3	100

Merged error: 0b

Counts

100 → 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)

series214.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
101.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	261	1712
1	261	1712
0	261	1712
1	261	1712
0	1	3
1	1	3
0	332	1730
1	332	1730
0	332	1730
1	332	1730
0	1	3
1	1	3

simplify230.0ms

Counts

44 → 44

Iterations

Useful iterations: 0 (208.0ms)

Iter	Nodes	Cost
0	5001	611

prune31.0ms

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))
1.0b	(*.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)

series326.0ms

Counts

2 → 6

Calls

2 calls:

170.0ms	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
157.0ms	(*.f64 (acos.f64 (/.f64 g h)) 1/3)

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	153	1640
1	153	1640
0	153	1640
1	153	1640
0	5392	31
0	215	1658
1	215	1658
0	215	1658
1	215	1658
0	5093	41

simplify95.0ms

Counts

33 → 33

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4777	415
1	4777	415

prune22.0ms

Filtered

26 candidates to 33 candidates (-26.9%)

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

regimes18.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	39
1	21	39

end0.0ms

sample792.0ms

Algorithm

intervals

Results

590.0ms	8000×	body	80	valid
39.0ms	585×	body	80	nan

Details

analyze166.0ms

sample27.0ms

simplify22.0ms

prune4.0ms

localize12.0ms

rewrite31.0ms

series403.0ms

simplify127.0ms

prune83.0ms

localize23.0ms

rewrite20.0ms

series291.0ms

simplify218.0ms

prune99.0ms

localize7.0ms

rewrite8.0ms

series214.0ms

simplify230.0ms

prune31.0ms

localize7.0ms

rewrite8.0ms

series326.0ms

simplify95.0ms

prune22.0ms

regimes18.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample792.0ms

Profiling