Details

analyze167.0ms (5.6%)

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	11×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify181.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	50	23
1	50	23

prune7.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 1.0b

Counts

2 → 2

Compiler

Compiled 74 to 74 computations (0% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b	(+.f64 (/.f64 (*.f64 2 PI.f64) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b	(cos.f64 (+.f64 (/.f64 (*.f64 2 PI.f64) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b	(/.f64 (*.f64 2 PI.f64) 3)

rewrite40.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_2143`
14×	`add-sqr-sqrt_binary64_2165` `add-cube-cbrt_binary64_2178`
12×	`times-frac_binary64_2149`
11×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
6×	`add-log-exp_binary64_2182` `associate-/r*_binary64_2087` `div-sub_binary64_2148`
4×	`pow1_binary64_2204` `associate-/l*_binary64_2088` `div-inv_binary64_2140` `associate-+r-_binary64_2077`
3×	`cbrt-undiv_binary64_2177` `distribute-frac-neg_binary64_2106` `acos-asin_binary64_2324` `acos-neg_binary64_2326` `div-exp_binary64_2194`
2×	`clear-num_binary64_2142` `cos-diff_binary64_2280` `frac-2neg_binary64_2154`
1×	`+-commutative_binary64_2073` `cbrt-unprod_binary64_2176` `sum-log_binary64_2234` `prod-exp_binary64_2192` `distribute-lft-out_binary64_2094` `distribute-rgt-out_binary64_2096` `cos-sum_binary64_2277` `flip3-+_binary64_2146` `flip-+_binary64_2117` `frac-add_binary64_2151`

Counts

4 → 76

Calls

4 calls:

13.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 2 PI.f64) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
12.0ms	(+.f64 (/.f64 (*.f64 2 PI.f64) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
6.0ms	(/.f64 (*.f64 2 PI.f64) 3)
4.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series204.0ms (6.8%)

Counts

4 → 10

Calls

4 calls:

140.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 2 PI.f64) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
40.0ms	(+.f64 (/.f64 (*.f64 2 PI.f64) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
24.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(/.f64 (*.f64 2 PI.f64) 3)

simplify83.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4839	1582
1	4839	1582

prune197.0ms (6.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	83	5	88

Merged error: 0.0b

Counts

88 → 5

Compiler

Compiled 3105 to 2251 computations (27.5% saved)

localize26.0ms (0.9%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (*.f64 PI.f64 2/3) (/.f64 PI.f64 3))
1.0b	(/.f64 PI.f64 3)
1.0b	(/.f64 PI.f64 3)
62.9b	(sin.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 PI.f64 3)))

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_2165` `add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
18×	`times-frac_binary64_2149`
8×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
6×	`add-log-exp_binary64_2182` `associate-/r_binary64_2087` `associate-/l_binary64_2088`
4×	`pow1_binary64_2204`
3×	`div-inv_binary64_2140`
2×	`cbrt-undiv_binary64_2177` `clear-num_binary64_2142` `div-exp_binary64_2194` `frac-2neg_binary64_2154`
1×	`+-commutative_binary64_2073` `sin-sum_binary64_2276` `sum-log_binary64_2234` `distribute-lft-out_binary64_2094` `flip3-+_binary64_2146` `flip-+_binary64_2117`

Counts

4 → 74

Calls

4 calls:

8.0ms	(sin.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 PI.f64 3)))
7.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 PI.f64 3))
3.0ms	(/.f64 PI.f64 3)
3.0ms	(/.f64 PI.f64 3)

series0.0ms (0%)

Counts

4 → 4

Calls

4 calls:

0.0ms	(sin.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 PI.f64 3)))
0.0ms	(/.f64 PI.f64 3)
0.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 PI.f64 3))
0.0ms	(/.f64 PI.f64 3)

simplify109.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4761	814
1	4761	814

prune172.0ms (5.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Merged error: 0b

Counts

83 → 4

Compiler

Compiled 3395 to 2328 computations (31.4% saved)

localize39.0ms (1.3%)

Local error

Found 4 expressions with local error:

1.0b	(exp.f64 PI.f64)
1.0b	(+.f64 (*.f64 PI.f64 2/3) (/.f64 PI.f64 3))
1.0b	(/.f64 PI.f64 3)
58.2b	(sin.f64 (log.f64 (exp.f64 PI.f64)))

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2165` `add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
9×	`times-frac_binary64_2149`
7×	`add-log-exp_binary64_2182`
6×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
4×	`pow1_binary64_2204`
3×	`associate-/r_binary64_2087` `sin-sum_binary64_2276` `exp-prod_binary64_2195` `log-prod_binary64_2229` `associate-/l_binary64_2088`
2×	`div-inv_binary64_2140`
1×	`cbrt-undiv_binary64_2177` `+-commutative_binary64_2073` `clear-num_binary64_2142` `sum-log_binary64_2234` `distribute-lft-out_binary64_2094` `rem-exp-log_binary64_2183` `flip3-+_binary64_2146` `flip-+_binary64_2117` `div-exp_binary64_2194` `frac-2neg_binary64_2154`

Counts

4 → 60

Calls

4 calls:

7.0ms	(sin.f64 (log.f64 (exp.f64 PI.f64)))
7.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 PI.f64 3))
4.0ms	(/.f64 PI.f64 3)
2.0ms	(exp.f64 PI.f64)

series0.0ms (0%)

Counts

4 → 4

Calls

4 calls:

0.0ms	(sin.f64 (log.f64 (exp.f64 PI.f64)))
0.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 PI.f64 3))
0.0ms	(/.f64 PI.f64 3)
0.0ms	(exp.f64 PI.f64)

simplify99.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4833	569
1	4833	569

prune120.0ms (4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	63	5	68

Merged error: 0b

Counts

68 → 5

Compiler

Compiled 2415 to 1484 computations (38.6% saved)

localize25.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 (acos.f64 (/.f64 g h)) 3)
1.0b	(exp.f64 PI.f64)
1.0b	(exp.f64 PI.f64)
58.2b	(sin.f64 (log.f64 (exp.f64 PI.f64)))

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_2165` `add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
9×	`times-frac_binary64_2149`
6×	`add-log-exp_binary64_2182` `exp-prod_binary64_2195` `add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
4×	`pow1_binary64_2204`
3×	`associate-/r_binary64_2087` `sin-sum_binary64_2276` `log-prod_binary64_2229` `associate-/l_binary64_2088`
2×	`rem-exp-log_binary64_2183`
1×	`cbrt-undiv_binary64_2177` `clear-num_binary64_2142` `div-inv_binary64_2140` `acos-asin_binary64_2324` `div-exp_binary64_2194` `frac-2neg_binary64_2154` `div-sub_binary64_2148`

Counts

4 → 60

Calls

4 calls:

4.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
4.0ms	(sin.f64 (log.f64 (exp.f64 PI.f64)))
2.0ms	(exp.f64 PI.f64)
2.0ms	(exp.f64 PI.f64)

series19.0ms (0.6%)

Counts

4 → 6

Calls

4 calls:

19.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
0.0ms	(sin.f64 (log.f64 (exp.f64 PI.f64)))
0.0ms	(exp.f64 PI.f64)
0.0ms	(exp.f64 PI.f64)

simplify132.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4726	756
1	4726	756

prune86.0ms (2.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	66	5	71

Merged error: 0b

Counts

71 → 5

Compiler

Compiled 2022 to 933 computations (53.9% saved)

regimes91.0ms (3%)

Compiler: Compiled 772 to 658 computations (14.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	59
1	27	59

end0.0ms (0%)

sample1.1s (35.9%)

Algorithm

1×

intervals

Results

667.0ms	8000×	body	128	valid
35.0ms	553×	body	128	nan

Compiler

Compiled 174 to 149 computations (14.4% saved)

Details

analyze167.0ms (5.6%)

sample29.0ms (1%)

simplify181.0ms (6.1%)

prune7.0ms (0.2%)

localize13.0ms (0.4%)

rewrite40.0ms (1.3%)

series204.0ms (6.8%)

simplify83.0ms (2.8%)

prune197.0ms (6.6%)

localize26.0ms (0.9%)

rewrite30.0ms (1%)

series0.0ms (0%)

simplify109.0ms (3.6%)

prune172.0ms (5.8%)

localize39.0ms (1.3%)

rewrite30.0ms (1%)

series0.0ms (0%)

simplify99.0ms (3.3%)

prune120.0ms (4%)

localize25.0ms (0.9%)

rewrite18.0ms (0.6%)

series19.0ms (0.6%)

simplify132.0ms (4.4%)

prune86.0ms (2.9%)

regimes91.0ms (3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (35.9%)

Profiling