Details

analyze160.0ms (4.7%)

Algorithm

1×

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

Compiler

Compiled 17 to 17 computations (0% saved)

sample28.0ms (0.8%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
1.0ms	9×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify93.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

prune8.0ms (0.2%)

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

Error

1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize11.0ms (0.3%)

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)

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_5215`
14×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
9×	`times-frac_binary64_5199`
8×	`add-cbrt-cube_binary64_5229` `add-exp-log_binary64_5231`
6×	`add-log-exp_binary64_5232` `div-sub_binary64_5198` `pow1_binary64_5254`
4×	`associate-+r-_binary64_5127`
3×	`associate-l_binary64_5134` `associate-/l_binary64_5138` `acos-neg_binary64_5376` `acos-asin_binary64_5374` `associate-r_binary64_5133` `associate-/r_binary64_5137` `distribute-frac-neg_binary64_5156`
2×	`cos-diff_binary64_5330`
1×	`pow-prod-down_binary64_5264` `sum-log_binary64_5284` `flip-+_binary64_5167` `*-commutative_binary64_5124` `div-inv_binary64_5190` `cbrt-undiv_binary64_5227` `clear-num_binary64_5192` `+-commutative_binary64_5123` `cos-sum_binary64_5327` `flip3-+_binary64_5196` `div-exp_binary64_5244` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226` `frac-2neg_binary64_5204`

Counts

4 → 70

Calls

4 calls:

7.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.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))
4.0ms	(*.f64 PI.f64 2/3)
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series281.0ms (8.3%)

Counts

4 → 18

Calls

4 calls:

160.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
72.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
48.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 540 to 540 computations (0% saved)

simplify99.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5183	1544

prune88.0ms (2.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	2	89

Error

1.0b

Counts

89 → 2

Compiler

Compiled 1708 to 1010 computations (40.9% saved)

localize9.0ms (0.3%)

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)

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
9×	`times-frac_binary64_5199`
4×	`add-cbrt-cube_binary64_5229` `add-exp-log_binary64_5231`
3×	`associate-/l_binary64_5138` `associate-/r_binary64_5137`
2×	`add-log-exp_binary64_5232` `acos-asin_binary64_5374` `div-sub_binary64_5198` `pow1_binary64_5254`
1×	`cos-diff_binary64_5330` `div-inv_binary64_5190` `cbrt-undiv_binary64_5227` `clear-num_binary64_5192` `div-exp_binary64_5244` `frac-2neg_binary64_5204`

Counts

2 → 36

Calls

2 calls:

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

series150.0ms (4.4%)

Counts

2 → 12

Calls

2 calls:

106.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
44.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 288 to 288 computations (0% saved)

simplify141.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4749	701
1	4749	701

prune49.0ms (1.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	49	1	50

Error

Counts

50 → 1

Compiler

Compiled 827 to 543 computations (34.3% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite60.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`times-frac_binary64_5199`
155×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
144×	`sqrt-prod_binary64_5209`
25×	`associate-/l*_binary64_5138`
12×	`associate-/r*_binary64_5137`
10×	`add-cbrt-cube_binary64_5229` `add-exp-log_binary64_5231`
9×	`div-inv_binary64_5190`
5×	`div-sub_binary64_5198`
4×	`cbrt-undiv_binary64_5227` `div-exp_binary64_5244`
3×	`add-log-exp_binary64_5232` `acos-asin_binary64_5374` `pow1_binary64_5254`
2×	`clear-num_binary64_5192` `frac-2neg_binary64_5204`
1×	`cos-diff_binary64_5330` `associate-/l/_binary64_5140`

Counts

3 → 224

Calls

3 calls:

12.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
11.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
5.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

series401.0ms (11.9%)

Counts

3 → 18

Calls

3 calls:

193.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
128.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
80.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

Compiler

Compiled 552 to 552 computations (0% saved)

simplify134.0ms (4%)

Algorithm

1×	egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4947	6209
1	4947	6209

prune360.0ms (10.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	242	1	243

Error

Counts

243 → 1

Compiler

Compiled 5957 to 3996 computations (32.9% saved)

regimes202.0ms (6%)

Accuracy

Total 0.0b remaining (94.1%)

Threshold costs 0.0b (94.1%)

Compiler

Compiled 1592 to 1600 computations (-0.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	23
1	37	23

end0.0ms (0%)

sample1.1s (31.2%)

Algorithm

1×

intervals

Results

624.0ms	8000×	body	128	valid
35.0ms	546×	body	128	nan

Compiler

Compiled 169 to 171 computations (-1.2% saved)

Details

analyze160.0ms (4.7%)

sample28.0ms (0.8%)

simplify93.0ms (2.8%)

prune8.0ms (0.2%)

localize11.0ms (0.3%)

rewrite26.0ms (0.8%)

series281.0ms (8.3%)

simplify99.0ms (2.9%)

prune88.0ms (2.6%)

localize9.0ms (0.3%)

rewrite9.0ms (0.3%)

series150.0ms (4.4%)

simplify141.0ms (4.2%)

prune49.0ms (1.5%)

localize11.0ms (0.3%)

rewrite60.0ms (1.8%)

series401.0ms (11.9%)

simplify134.0ms (4%)

prune360.0ms (10.7%)

regimes202.0ms (6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (31.2%)

Profiling