Details

analyze164.0ms

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

19.0ms	256×	body	80	valid
1.0ms	15×	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

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

localize11.0ms

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))
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)

series25.0ms

Counts

4 → 10

Calls

4 calls:

4.0ms	(/.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))
15.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms	(*.f64 PI.f64 2/3)

simplify71.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5026	857

prune54.0ms

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 2 expressions with local error:

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

rewrite7.0ms

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

Counts

2 → 36

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify111.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4977	405
1	4977	405

prune34.0ms

Filtered

31 candidates to 42 candidates (-35.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	42	3	45

Merged error: 0b

Counts

45 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

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))))

0.0b

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
51×	`times-frac_binary64`
50×	`add-exp-log_binary64`
36×	`*-un-lft-identity_binary64`
33×	`add-cube-cbrt_binary64`
24×	`cbrt-prod_binary64`
22×	`associate-r_binary64`
20×	`prod-exp_binary64`
18×	`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`
5×	`pow1_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `acos-asin_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 117

Calls

3 calls:

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))))

17.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

series38.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms

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

17.0ms

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

11.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

simplify74.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5033	1497

prune92.0ms

Filtered

87 candidates to 126 candidates (-44.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	126	3	129

Merged error: 0b

Counts

129 → 3

localize10.0ms

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)

rewrite7.0ms

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`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 25

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)

series12.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
3.0ms	(*.f64 (acos.f64 (/.f64 g h)) 1/3)

simplify62.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4733	240
1	4733	240

prune14.0ms

Filtered

20 candidates to 31 candidates (-55.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	31	3	34

Merged error: 0b

Counts

34 → 3

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	19
1	40	19

end0.0ms

sample809.0ms

Algorithm

intervals

Results

604.0ms	8000×	body	80	valid
40.0ms	600×	body	80	nan

Details

analyze164.0ms

sample27.0ms

simplify6.0ms

prune8.0ms

localize11.0ms

rewrite24.0ms

series25.0ms

simplify71.0ms

prune54.0ms

localize9.0ms

rewrite7.0ms

series13.0ms

simplify111.0ms

prune34.0ms

localize13.0ms

rewrite29.0ms

series38.0ms

simplify74.0ms

prune92.0ms

localize10.0ms

rewrite7.0ms

series12.0ms

simplify62.0ms

prune14.0ms

regimes135.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample809.0ms

Profiling