Details

analyze160.0ms (5.9%)

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)

sample33.0ms (1.2%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
1.0ms	20×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify168.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	50	23
1	50	23

prune6.0ms (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

Merged error: 1.0b

Counts

2 → 1

Compiler

Compiled 58 to 58 computations (0% saved)

localize16.0ms (0.6%)

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 (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2509`
14×	`*-un-lft-identity_binary64_2487` `add-cube-cbrt_binary64_2522`
9×	`times-frac_binary64_2493`
8×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523`
6×	`div-sub_binary64_2492` `pow1_binary64_2548` `add-log-exp_binary64_2526`
4×	`associate-+r-_binary64_2421`
3×	`associate-/r_binary64_2431` `associate-/l_binary64_2432` `acos-neg_binary64_2670` `associate-l_binary64_2428` `distribute-frac-neg_binary64_2450` `associate-r_binary64_2427` `acos-asin_binary64_2668`
2×	`cos-diff_binary64_2624`
1×	`unswap-sqr_binary64_2455` `*-commutative_binary64_2418` `prod-exp_binary64_2536` `frac-2neg_binary64_2498` `flip-+_binary64_2461` `clear-num_binary64_2486` `div-inv_binary64_2484` `+-commutative_binary64_2417` `flip3-+_binary64_2490` `sum-log_binary64_2578` `cbrt-unprod_binary64_2520` `pow-prod-down_binary64_2558` `div-exp_binary64_2538` `cos-sum_binary64_2621` `cbrt-undiv_binary64_2521`

Counts

4 → 70

Calls

4 calls:

8.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.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))
4.0ms	(*.f64 PI.f64 2/3)
4.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series191.0ms (7.1%)

Counts

4 → 10

Calls

4 calls:

128.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
39.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
23.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

simplify92.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5181	1420

prune93.0ms (3.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	1	81

Merged error: 1.0b

Counts

81 → 1

Compiler

Compiled 1723 to 1049 computations (39.1% saved)

localize11.0ms (0.4%)

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×	`*-un-lft-identity_binary64_2487` `add-cube-cbrt_binary64_2522` `add-sqr-sqrt_binary64_2509`
9×	`times-frac_binary64_2493`
4×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523`
3×	`associate-/r_binary64_2431` `associate-/l_binary64_2432`
2×	`div-sub_binary64_2492` `pow1_binary64_2548` `add-log-exp_binary64_2526` `acos-asin_binary64_2668`
1×	`frac-2neg_binary64_2498` `clear-num_binary64_2486` `div-inv_binary64_2484` `div-exp_binary64_2538` `cos-diff_binary64_2624` `cbrt-undiv_binary64_2521`

Counts

2 → 36

Calls

2 calls:

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

series97.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

77.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
19.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify137.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4749	641
1	4749	641

prune54.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Merged error: 0b

Counts

43 → 2

Compiler

Compiled 893 to 633 computations (29.1% saved)

localize13.0ms (0.5%)

Local error

Found 3 expressions with local error:

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 (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)))

rewrite43.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_2509`
51×	`times-frac_binary64_2493`
50×	`add-exp-log_binary64_2525`
36×	`*-un-lft-identity_binary64_2487`
33×	`add-cube-cbrt_binary64_2522`
24×	`cbrt-prod_binary64_2518`
22×	`associate-r_binary64_2427`
20×	`prod-exp_binary64_2536`
18×	`add-cbrt-cube_binary64_2523`
16×	`div-exp_binary64_2538`
9×	`unswap-sqr_binary64_2455`
8×	`cbrt-unprod_binary64_2520` `cbrt-undiv_binary64_2521`
7×	`associate-l_binary64_2428`
6×	`associate-/r*_binary64_2431`
5×	`pow1_binary64_2548`
4×	`rec-exp_binary64_2537` `1-exp_binary64_2531`
3×	`associate-/l*_binary64_2432` `div-inv_binary64_2484` `add-log-exp_binary64_2526`
1×	`associate-l/_binary64_2430` `-commutative_binary64_2418` `frac-2neg_binary64_2498` `frac-times_binary64_2497` `clear-num_binary64_2486` `div-sub_binary64_2492` `pow-prod-down_binary64_2558` `associate-*r/_binary64_2429` `acos-asin_binary64_2668`

Counts

3 → 117

Calls

3 calls:

22.0ms

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

5.0ms

(/.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))))

series293.0ms (10.9%)

Counts

3 → 9

Calls

3 calls:

170.0ms

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

80.0ms

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

42.0ms

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

simplify100.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5016	2497

prune163.0ms (6.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	126	2	128

Merged error: 0b

Counts

128 → 2

Compiler

Compiled 3108 to 2282 computations (26.6% saved)

regimes17.0ms (0.6%)

Compiler: Compiled 70 to 74 computations (-5.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	31
1	41	31

end0.0ms (0%)

sample964.0ms (35.8%)

Algorithm

1×

intervals

Results

653.0ms	8000×	body	128	valid
34.0ms	549×	body	128	nan

Compiler

Compiled 69 to 71 computations (-2.9% saved)

Details

analyze160.0ms (5.9%)

sample33.0ms (1.2%)

simplify168.0ms (6.2%)

prune6.0ms (0.2%)

localize16.0ms (0.6%)

rewrite29.0ms (1.1%)

series191.0ms (7.1%)

simplify92.0ms (3.4%)

prune93.0ms (3.5%)

localize11.0ms (0.4%)

rewrite9.0ms (0.3%)

series97.0ms (3.6%)

simplify137.0ms (5.1%)

prune54.0ms (2%)

localize13.0ms (0.5%)

rewrite43.0ms (1.6%)

series293.0ms (10.9%)

simplify100.0ms (3.7%)

prune163.0ms (6.1%)

regimes17.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample964.0ms (35.8%)

Profiling