Details

analyze169.0ms (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)

sample29.0ms (1%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
1.0ms	15×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify168.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	50	23
1	50	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:

0.9b	(/.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)

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2120`
14×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
9×	`times-frac_binary64_2105`
8×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
6×	`pow1_binary64_2157` `div-sub_binary64_2104` `add-log-exp_binary64_2135`
4×	`associate-+r-_binary64_2035`
3×	`associate-l_binary64_2042` `distribute-frac-neg_binary64_2064` `acos-neg_binary64_2279` `associate-/r_binary64_2045` `acos-asin_binary64_2277` `associate-r_binary64_2041` `associate-/l_binary64_2046`
2×	`cos-diff_binary64_2233`
1×	`cbrt-undiv_binary64_2130` `flip3-+_binary64_2102` `*-commutative_binary64_2032` `div-exp_binary64_2147` `sum-log_binary64_2187` `frac-2neg_binary64_2110` `prod-exp_binary64_2145` `+-commutative_binary64_2031` `pow-prod-down_binary64_2167` `unswap-sqr_binary64_2067` `clear-num_binary64_2098` `div-inv_binary64_2096` `flip-+_binary64_2073` `cos-sum_binary64_2230` `cbrt-unprod_binary64_2129`

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

series197.0ms (6.9%)

Counts

4 → 10

Calls

4 calls:

132.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
41.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
24.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

simplify89.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4986	1420
1	4986	1420

prune90.0ms (3.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	3	81

Merged error: 0.9b

Counts

81 → 3

Compiler

Compiled 1619 to 963 computations (40.5% 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)

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
9×	`times-frac_binary64_2105`
4×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
3×	`associate-/r_binary64_2045` `associate-/l_binary64_2046`
2×	`pow1_binary64_2157` `div-sub_binary64_2104` `add-log-exp_binary64_2135` `acos-asin_binary64_2277`
1×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `frac-2neg_binary64_2110` `cos-diff_binary64_2233` `clear-num_binary64_2098` `div-inv_binary64_2096`

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))

series90.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

72.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
19.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify134.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4749	641
1	4749	641

prune48.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	43	2	45

Merged error: 0b

Counts

45 → 2

Compiler

Compiled 755 to 495 computations (34.4% 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))

rewrite65.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`times-frac_binary64_2105`
155×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
144×	`sqrt-prod_binary64_2114`
25×	`associate-/l*_binary64_2046`
12×	`associate-/r*_binary64_2045`
10×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
9×	`div-inv_binary64_2096`
5×	`div-sub_binary64_2104`
4×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147`
3×	`pow1_binary64_2157` `add-log-exp_binary64_2135` `acos-asin_binary64_2277`
2×	`frac-2neg_binary64_2110` `clear-num_binary64_2098`
1×	`associate-/l/_binary64_2048` `cos-diff_binary64_2233`

Counts

3 → 224

Calls

3 calls:

15.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
13.0ms	(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))

series283.0ms (9.9%)

Counts

3 → 9

Calls

3 calls:

163.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
72.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
48.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

simplify130.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4809	6116
1	4809	6116

prune322.0ms (11.3%)

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

Merged error: 0b

Counts

235 → 2

Compiler

Compiled 5837 to 3912 computations (33% saved)

regimes17.0ms (0.6%)

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

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	23
1	37	23

end0.0ms (0%)

sample951.0ms (33.2%)

Algorithm

1×

intervals

Results

650.0ms	8000×	body	128	valid
35.0ms	493×	body	128	nan

Compiler

Compiled 59 to 61 computations (-3.4% saved)

Details

analyze169.0ms (5.9%)

sample29.0ms (1%)

simplify168.0ms (5.9%)

prune4.0ms (0.1%)

localize12.0ms (0.4%)

rewrite28.0ms (1%)

series197.0ms (6.9%)

simplify89.0ms (3.1%)

prune90.0ms (3.1%)

localize9.0ms (0.3%)

rewrite10.0ms (0.3%)

series90.0ms (3.2%)

simplify134.0ms (4.7%)

prune48.0ms (1.7%)

localize12.0ms (0.4%)

rewrite65.0ms (2.3%)

series283.0ms (9.9%)

simplify130.0ms (4.5%)

prune322.0ms (11.3%)

regimes17.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample951.0ms (33.2%)

Profiling