Details

analyze177.0ms

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

20.0ms	256×	body	80	valid
1.0ms	13×	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

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

localize16.0ms

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)

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:

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))
8.0ms	(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:

16.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
24.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
74.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms	(*.f64 PI.f64 2/3)

simplify112.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4923	1420
1	4923	1420

prune67.0ms

Filtered

59 candidates to 80 candidates (-35.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	3	81

Merged error: 1.0b

Counts

81 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `acos-asin_binary64` `associate-/l_binary64`
2×	`div-sub_binary64`
1×	`cbrt-undiv_binary64` `cos-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 44

Calls

3 calls:

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

series65.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(acos.f64 (/.f64 g h))
48.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
12.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify174.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	4750	737
1	4750	737

prune52.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	54	2	56

Merged error: 0b

Counts

56 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64`
51×	`add-exp-log_binary64` `times-frac_binary64`
37×	`*-un-lft-identity_binary64`
34×	`add-cube-cbrt_binary64`
24×	`cbrt-prod_binary64`
22×	`associate-r_binary64`
20×	`prod-exp_binary64`
19×	`add-cbrt-cube_binary64`
16×	`div-exp_binary64`
9×	`unswap-sqr_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64`
7×	`associate-l_binary64`
6×	`associate-/r*_binary64` `pow1_binary64`
4×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`acos-asin_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 125

Calls

4 calls:

1.0ms	(acos.f64 (/.f64 g h))
18.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
4.0ms	(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))
2.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

series154.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(acos.f64 (/.f64 g h))
38.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
33.0ms	(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))
77.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

simplify120.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4843	2511
1	4843	2511

prune134.0ms

Filtered

95 candidates to 137 candidates (-44.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	137	2	139

Merged error: 0b

Counts

139 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod_binary64`
45×	`times-frac_binary64`
42×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`unpow-prod-down_binary64` `cube-prod_binary64`
15×	`associate-/l*_binary64`
7×	`add-exp-log_binary64`
6×	`sqr-pow_binary64` `add-cbrt-cube_binary64` `unpow3_binary64` `cube-mult_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `associate-/r*_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64`

Counts

4 → 126

Calls

4 calls:

6.0ms	(cos.f64 (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3))
7.0ms	(/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3)
2.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3))
2.0ms	(pow.f64 (acos.f64 (/.f64 g h)) 3)

series91.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(cos.f64 (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3))
13.0ms	(/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3)
5.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3))
28.0ms	(pow.f64 (acos.f64 (/.f64 g h)) 3)

simplify102.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4921	2181
1	4921	2181

prune72.0ms

Filtered

70 candidates to 138 candidates (-97.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	138	2	140

Merged error: 0b

Counts

140 → 2

regimes16.0ms

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

sample824.0ms

Algorithm

intervals

Results

618.0ms	8000×	body	80	valid
39.0ms	549×	body	80	nan

Details

analyze177.0ms

sample28.0ms

simplify14.0ms

prune4.0ms

localize16.0ms

rewrite24.0ms

series114.0ms

simplify112.0ms

prune67.0ms

localize9.0ms

rewrite8.0ms

series65.0ms

simplify174.0ms

prune52.0ms

localize15.0ms

rewrite31.0ms

series154.0ms

simplify120.0ms

prune134.0ms

localize15.0ms

rewrite22.0ms

series91.0ms

simplify102.0ms

prune72.0ms

regimes16.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample824.0ms

Profiling