Details

analyze167.0ms (5.1%)

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)

sample29.0ms (0.9%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	80	valid
1.0ms	18×	body	80	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify29.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

prune4.0ms (0.1%)

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

Compiler

Compiled 28 to 28 computations (0% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(/.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)

rewrite29.0ms (0.9%)

Algorithm

1×	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:

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))
4.0ms	(*.f64 PI.f64 2/3)
4.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series197.0ms (6.1%)

Counts

4 → 10

Calls

4 calls:

126.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
42.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
29.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

simplify160.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4928	1482
1	4928	1482

prune98.0ms (3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	2	85

Merged error: 0.9b

Counts

85 → 2

Compiler

Compiled 1686 to 1000 computations (40.7% saved)

localize10.0ms (0.3%)

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)

rewrite9.0ms (0.3%)

Algorithm

1×	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:

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

series101.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

80.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
20.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify247.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (226.0ms)

Iter	Nodes	Cost
0	4753	665
1	4753	665

prune56.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	44	2	46

Merged error: 0b

Counts

46 → 2

Compiler

Compiled 795 to 527 computations (33.7% saved)

localize12.0ms (0.4%)

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))

rewrite55.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`times-frac_binary64`
155×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
144×	`sqrt-prod_binary64`
25×	`associate-/l*_binary64`
12×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`div-inv_binary64`
5×	`div-sub_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `acos-asin_binary64` `insert-posit16`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `cos-diff_binary64`

Counts

3 → 227

Calls

3 calls:

18.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
14.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
6.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

series306.0ms (9.4%)

Counts

3 → 9

Calls

3 calls:

170.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
85.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
50.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

simplify191.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4814	6153
1	4814	6153

prune340.0ms (10.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	236	2	238

Merged error: 0b

Counts

238 → 2

Compiler

Compiled 5895 to 3958 computations (32.9% saved)

localize10.0ms (0.3%)

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 (0.3%)

Algorithm

1×	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:

5.0ms	(*.f64 (acos.f64 (/.f64 g h)) 1/3)
2.0ms	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))

series97.0ms (3%)

Counts

2 → 6

Calls

2 calls:

77.0ms	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
20.0ms	(*.f64 (acos.f64 (/.f64 g h)) 1/3)

simplify125.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4812	403
1	4812	403

prune29.0ms (0.9%)

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

Compiler

Compiled 527 to 354 computations (32.8% saved)

regimes16.0ms (0.5%)

Compiler: Compiled 60 to 64 computations (-6.7% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	23
1	37	23

end0.0ms (0%)

sample902.0ms (27.8%)

Algorithm

1×

intervals

Results

603.0ms	8000×	body	80	valid
36.0ms	571×	body	80	nan

Compiler

Compiled 59 to 61 computations (-3.4% saved)

Details

analyze167.0ms (5.1%)

sample29.0ms (0.9%)

simplify29.0ms (0.9%)

prune4.0ms (0.1%)

localize12.0ms (0.4%)

rewrite29.0ms (0.9%)

series197.0ms (6.1%)

simplify160.0ms (4.9%)

prune98.0ms (3%)

localize10.0ms (0.3%)

rewrite9.0ms (0.3%)

series101.0ms (3.1%)

simplify247.0ms (7.6%)

prune56.0ms (1.7%)

localize12.0ms (0.4%)

rewrite55.0ms (1.7%)

series306.0ms (9.4%)

simplify191.0ms (5.9%)

prune340.0ms (10.5%)

localize10.0ms (0.3%)

rewrite8.0ms (0.3%)

series97.0ms (3%)

simplify125.0ms (3.8%)

prune29.0ms (0.9%)

regimes16.0ms (0.5%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample902.0ms (27.8%)

Profiling