Details

analyze404.0ms (13.3%)

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

23.0ms	256×	body	128	valid
1.0ms	17×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify93.0ms (3.1%)

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 (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%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2146`
14×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`times-frac_binary64_2130`
8×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `div-sub_binary64_2129`
4×	`associate-+r-_binary64_2058`
3×	`acos-neg_binary64_2307` `associate-/l_binary64_2069` `acos-asin_binary64_2305` `associate-/r_binary64_2068` `associate-l_binary64_2065` `associate-r_binary64_2064` `distribute-frac-neg_binary64_2087`
2×	`cos-diff_binary64_2261`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092` `sum-log_binary64_2215` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `+-commutative_binary64_2054` `cos-sum_binary64_2258` `flip3-+_binary64_2127` `flip-+_binary64_2098` `div-inv_binary64_2121` `div-exp_binary64_2175` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135`

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)))
7.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
6.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
4.0ms	(*.f64 PI.f64 2/3)

series112.0ms (3.7%)

Counts

4 → 10

Calls

4 calls:

68.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
30.0ms	(+.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)

simplify93.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5185	1420

prune85.0ms (2.8%)

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 1622 to 960 computations (40.8% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(acos.f64 (/.f64 g h))
1.0b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`times-frac_binary64_2130`
4×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`associate-/l_binary64_2069` `associate-/r_binary64_2068`
2×	`acos-asin_binary64_2305` `pow1_binary64_2185` `add-log-exp_binary64_2163`
1×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `div-sub_binary64_2129` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

2 → 36

Calls

2 calls:

3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
1.0ms	(acos.f64 (/.f64 g h))

series17.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

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

simplify138.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4673	564
1	4673	564

prune44.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Error

Counts

44 → 2

Compiler

Compiled 735 to 471 computations (35.9% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite45.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`times-frac_binary64_2130`
155×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
144×	`sqrt-prod_binary64_2140`
25×	`associate-/l*_binary64_2069`
12×	`associate-/r*_binary64_2068`
10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`div-inv_binary64_2121`
4×	`cbrt-undiv_binary64_2158` `div-exp_binary64_2175`
3×	`acos-asin_binary64_2305` `pow1_binary64_2185` `add-log-exp_binary64_2163` `div-sub_binary64_2129`
2×	`clear-num_binary64_2123` `frac-2neg_binary64_2135`
1×	`associate-/l/_binary64_2071`

Counts

3 → 224

Calls

3 calls:

11.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
4.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))
1.0ms	(acos.f64 (/.f64 g h))

series69.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

40.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
24.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))
4.0ms	(acos.f64 (/.f64 g h))

simplify126.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4920	6039
1	4920	6039

prune334.0ms (11%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

235 → 2

Compiler

Compiled 5853 to 3927 computations (32.9% saved)

regimes256.0ms (8.4%)

Accuracy

Total 0.0b remaining (97.4%)

Threshold costs 0.0b (97.4%)

Compiler

Compiled 2694 to 2402 computations (10.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	21
1	37	21

end0.0ms (0%)

sample1.1s (36.8%)

Algorithm

1×

intervals

Results

625.0ms	8000×	body	128	valid
36.0ms	575×	body	128	nan

Compiler

Compiled 260 to 238 computations (8.5% saved)

Details

analyze404.0ms (13.3%)

sample33.0ms (1.1%)

simplify93.0ms (3.1%)

prune4.0ms (0.1%)

localize11.0ms (0.4%)

rewrite29.0ms (1%)

series112.0ms (3.7%)

simplify93.0ms (3.1%)

prune85.0ms (2.8%)

localize9.0ms (0.3%)

rewrite6.0ms (0.2%)

series17.0ms (0.6%)

simplify138.0ms (4.5%)

prune44.0ms (1.5%)

localize12.0ms (0.4%)

rewrite45.0ms (1.5%)

series69.0ms (2.3%)

simplify126.0ms (4.1%)

prune334.0ms (11%)

regimes256.0ms (8.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (36.8%)

Profiling