Details

analyze165.0ms (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)

sample30.0ms (1.1%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
2.0ms	24×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify9.0ms (0.3%)

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

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)

localize12.0ms (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 (*.f64 2 PI.f64) 3) (/.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	(/.f64 (*.f64 2 PI.f64) 3)

rewrite44.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`times-frac_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `div-sub_binary64`
4×	`pow1_binary64` `associate-+r-_binary64` `associate-/l*_binary64` `div-inv_binary64`
3×	`acos-asin_binary64` `cbrt-undiv_binary64` `acos-neg_binary64` `div-exp_binary64` `distribute-frac-neg_binary64`
2×	`cos-diff_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `distribute-rgt-out_binary64` `prod-exp_binary64` `cos-sum_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

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)))
13.0ms	(+.f64 (/.f64 (*.f64 2 PI.f64) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
9.0ms	(/.f64 (*.f64 2 PI.f64) 3)
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series191.0ms (6.9%)

Counts

4 → 10

Calls

4 calls:

123.0ms	(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))
28.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(/.f64 (*.f64 2 PI.f64) 3)

simplify79.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4840	1582
1	4840	1582

prune129.0ms (4.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

Compiler

Compiled 2270 to 1556 computations (31.5% saved)

localize23.0ms (0.8%)

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)))

rewrite32.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
4×	`pow1_binary64`
3×	`div-inv_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `sin-sum_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 74

Calls

4 calls:

10.0ms	(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)

simplify106.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4807	816
1	4807	816

prune169.0ms (6.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	78	3	81

Merged error: 0b

Counts

81 → 3

Compiler

Compiled 3369 to 2296 computations (31.8% saved)

localize26.0ms (0.9%)

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)))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
7×	`add-log-exp_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `log-prod_binary64` `sin-sum_binary64` `associate-/l_binary64` `exp-prod_binary64`
2×	`div-inv_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 60

Calls

4 calls:

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

simplify92.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4808	572
1	4808	572

prune109.0ms (3.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	63	4	67

Merged error: 0b

Counts

67 → 4

Compiler

Compiled 2357 to 1426 computations (39.5% saved)

localize23.0ms (0.8%)

Local error

Found 4 expressions with local error:

1.0b	(/.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)))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-prod_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `log-prod_binary64` `sin-sum_binary64` `associate-/l_binary64`
2×	`rem-exp-log_binary64`
1×	`acos-asin_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 60

Calls

4 calls:

3.0ms	(sin.f64 (log.f64 (exp.f64 PI.f64)))
3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
2.0ms	(exp.f64 PI.f64)
2.0ms	(exp.f64 PI.f64)

series24.0ms (0.9%)

Counts

4 → 6

Calls

4 calls:

24.0ms	(/.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)

simplify123.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4735	758
1	4735	758

prune85.0ms (3.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	66	4	70

Merged error: 0b

Counts

70 → 4

Compiler

Compiled 2024 to 938 computations (53.7% saved)

regimes28.0ms (1%)

Compiler: Compiled 208 to 172 computations (17.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	47
1	23	47

end0.0ms (0%)

sample1.2s (44.2%)

Algorithm

1×

intervals

Results

849.0ms	8000×	body	128	valid
36.0ms	564×	body	128	nan

Compiler

Compiled 146 to 121 computations (17.1% saved)

Details

analyze165.0ms (5.9%)

sample30.0ms (1.1%)

simplify9.0ms (0.3%)

prune6.0ms (0.2%)

localize12.0ms (0.4%)

rewrite44.0ms (1.6%)

series191.0ms (6.9%)

simplify79.0ms (2.9%)

prune129.0ms (4.6%)

localize23.0ms (0.8%)

rewrite32.0ms (1.2%)

series0.0ms (0%)

simplify106.0ms (3.8%)

prune169.0ms (6.1%)

localize26.0ms (0.9%)

rewrite22.0ms (0.8%)

series0.0ms (0%)

simplify92.0ms (3.3%)

prune109.0ms (3.9%)

localize23.0ms (0.8%)

rewrite17.0ms (0.6%)

series24.0ms (0.9%)

simplify123.0ms (4.4%)

prune85.0ms (3.1%)

regimes28.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (44.2%)

Profiling