Details

analyze359.0ms

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

19.0ms	256×	body	128	valid
1.0ms	16×	body	128	nan

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

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

localize12.0ms

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)

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`
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)

series193.0ms

Counts

4 → 10

Calls

4 calls:

22.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
45.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
126.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms	(*.f64 PI.f64 2/3)

simplify90.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4993	1420
1	4993	1420

prune69.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 28

Calls

1 calls:

4.0ms

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

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify141.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4673	468
1	4673	468

prune29.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	31	2	33

Merged error: 0b

Counts

33 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
0.0b	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac_binary64`
154×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
144×	`sqrt-prod_binary64`
25×	`associate-/l*_binary64`
12×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`div-sub_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `acos-asin_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 216

Calls

2 calls:

13.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
5.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

series120.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
48.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

simplify141.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4797	5943
1	4797	5943

prune135.0ms

Filtered

100 candidates to 222 candidates (-122.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	222	2	224

Merged error: 0b

Counts

224 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (acos.f64 (/.f64 g h)))
0.0b	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
1.0b	(cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`log-prod_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64`
3×	`acos-asin_binary64` `add-cbrt-cube_binary64` `exp-diff_binary64` `exp-prod_binary64`
2×	`cbrt-div_binary64` `pow1/3_binary64` `log-pow_binary64`
1×	`rem-log-exp_binary64` `rem-exp-log_binary64` `log-div_binary64`

Counts

3 → 41

Calls

3 calls:

2.0ms	(exp.f64 (acos.f64 (/.f64 g h)))
3.0ms	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
2.0ms	(cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))

series239.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(exp.f64 (acos.f64 (/.f64 g h)))
120.0ms	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
95.0ms	(cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))

simplify77.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5257	636

prune33.0ms

Filtered

37 candidates to 50 candidates (-35.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	50	2	52

Merged error: 0b

Counts

52 → 2

regimes19.0ms

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	37	23
1	37	23

end0.0ms

sample815.0ms

Algorithm

intervals

Results

618.0ms	8000×	body	128	valid
36.0ms	540×	body	128	nan

Details

analyze359.0ms

sample28.0ms

simplify10.0ms

prune8.0ms

localize12.0ms

rewrite28.0ms

series193.0ms

simplify90.0ms

prune69.0ms

localize10.0ms

rewrite6.0ms

series22.0ms

simplify141.0ms

prune29.0ms

localize11.0ms

rewrite49.0ms

series120.0ms

simplify141.0ms

prune135.0ms

localize13.0ms

rewrite10.0ms

series239.0ms

simplify77.0ms

prune33.0ms

regimes19.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample815.0ms

Profiling