Details

analyze163.0ms (5.2%)

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 (1.1%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
5.0ms	12×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify105.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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

Error

1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
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 PI.f64 2/3)

rewrite32.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2828`
14×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
9×	`times-frac_binary64_2812`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
6×	`div-sub_binary64_2811` `add-log-exp_binary64_2845` `pow1_binary64_2867`
4×	`associate-+r-_binary64_2740`
3×	`associate-l_binary64_2747` `acos-asin_binary64_2987` `associate-/r_binary64_2750` `distribute-frac-neg_binary64_2769` `associate-r_binary64_2746` `associate-/l_binary64_2751` `acos-neg_binary64_2989`
2×	`cos-diff_binary64_2943`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `*-commutative_binary64_2737` `cbrt-undiv_binary64_2840` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `flip-+_binary64_2780` `sum-log_binary64_2897` `flip3-+_binary64_2809` `clear-num_binary64_2805` `cos-sum_binary64_2940` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774` `frac-2neg_binary64_2817` `+-commutative_binary64_2736`

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 (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))
5.0ms	(*.f64 PI.f64 2/3)

series114.0ms (3.7%)

Counts

4 → 10

Calls

4 calls:

75.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
25.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
14.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

simplify95.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5185	1420

prune82.0ms (2.6%)

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

Error

1.0b

Counts

81 → 2

Compiler

Compiled 1593 to 943 computations (40.8% saved)

localize10.0ms (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-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
9×	`times-frac_binary64_2812`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
3×	`associate-/r_binary64_2750` `associate-/l_binary64_2751`
2×	`acos-asin_binary64_2987` `div-sub_binary64_2811` `add-log-exp_binary64_2845` `pow1_binary64_2867`
1×	`cos-diff_binary64_2943` `div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

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))

series58.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

42.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
16.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify142.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4749	641
1	4749	641

prune43.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Error

Counts

44 → 2

Compiler

Compiled 767 to 507 computations (33.9% 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 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
0.0b	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

rewrite57.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`times-frac_binary64_2812`
155×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
144×	`sqrt-prod_binary64_2822`
25×	`associate-/l*_binary64_2751`
12×	`associate-/r*_binary64_2750`
10×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
9×	`div-inv_binary64_2803`
5×	`div-sub_binary64_2811`
4×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
3×	`acos-asin_binary64_2987` `add-log-exp_binary64_2845` `pow1_binary64_2867`
2×	`clear-num_binary64_2805` `frac-2neg_binary64_2817`
1×	`cos-diff_binary64_2943` `associate-/l/_binary64_2753`

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)))
7.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

series169.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

90.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
54.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
26.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

simplify135.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4947	6116
1	4947	6116

prune331.0ms (10.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	233	2	235

Error

Counts

235 → 2

Compiler

Compiled 5849 to 3927 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)

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_2828`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
3×	`associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`add-log-exp_binary64_2845`
1×	`*-commutative_binary64_2737` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774`

Counts

2 → 25

Calls

2 calls:

4.0ms	(*.f64 (acos.f64 (/.f64 g h)) 1/3)
2.0ms	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))

series60.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

47.0ms	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
13.0ms	(*.f64 (acos.f64 (/.f64 g h)) 1/3)

simplify55.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4776	379
1	4776	379

prune26.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

33 → 2

Compiler

Compiled 499 to 334 computations (33.1% saved)

regimes232.0ms (7.5%)

Accuracy

Total 0.0b remaining (97.9%)

Threshold costs 0.0b (97.9%)

Compiler

Compiled 1854 to 1862 computations (-0.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	31
1	41	31

end0.0ms (0%)

sample1.1s (35.8%)

Algorithm

1×

intervals

Results

643.0ms	8000×	body	128	valid
33.0ms	522×	body	128	nan

Compiler

Compiled 200 to 202 computations (-1% saved)

Details

analyze163.0ms (5.2%)

sample33.0ms (1.1%)

simplify105.0ms (3.4%)

prune4.0ms (0.1%)

localize11.0ms (0.4%)

rewrite32.0ms (1%)

series114.0ms (3.7%)

simplify95.0ms (3.1%)

prune82.0ms (2.6%)

localize10.0ms (0.3%)

rewrite9.0ms (0.3%)

series58.0ms (1.9%)

simplify142.0ms (4.6%)

prune43.0ms (1.4%)

localize12.0ms (0.4%)

rewrite57.0ms (1.8%)

series169.0ms (5.4%)

simplify135.0ms (4.3%)

prune331.0ms (10.6%)

localize10.0ms (0.3%)

rewrite7.0ms (0.2%)

series60.0ms (1.9%)

simplify55.0ms (1.8%)

prune26.0ms (0.8%)

regimes232.0ms (7.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (35.8%)

Profiling