Details

analyze2.0s (17.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1027	40
1	1027	40
0	2	2
1	2	2

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
18.7%	81.2%	0.1%	8
29.7%	69.5%	0.9%	9
30.4%	67.9%	1.7%	10
36.3%	61.1%	2.6%	11
36.9%	59.5%	3.6%	12
39.9%	55.9%	4.2%	13
40.2%	54.9%	4.9%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample153.0ms (1.3%)

Algorithm

1×

intervals

Results

64.0ms	37×	body	2048	valid
29.0ms	59×	body	1024	valid
15.0ms	2×	body	4096	valid
14.0ms	128×	body	128	valid
8.0ms	23×	body	512	valid
2.0ms	7×	body	256	valid
1.0ms	6×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	299	20
1	299	20

prune12.0ms (0.1%)

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

Error

18.2b

Counts

2 → 2

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
4.0b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
31.3b	(tan.f64 (*.f64 PI.f64 l))

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow1_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64` `tan-quot_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `associate-/r*_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 66

Calls

4 calls:

12.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
7.0ms	(*.f64 PI.f64 l)
7.0ms	(*.f64 PI.f64 l)
5.0ms	(tan.f64 (*.f64 PI.f64 l))

series549.0ms (4.7%)

Counts

4 → 15

Calls

4 calls:

365.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
106.0ms	(tan.f64 (*.f64 PI.f64 l))
39.0ms	(*.f64 PI.f64 l)
39.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 450 to 295 computations (34.4% saved)

simplify144.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	5862	910

prune188.0ms (1.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	65	16	81
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	67	16	83

Error

13.9b

Counts

83 → 16

Compiler

Compiled 1571 to 403 computations (74.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
31.3b	(tan.f64 (*.f64 PI.f64 l))

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`times-frac_binary64`
8×	`pow1_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `tan-quot_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
7.0ms	(*.f64 PI.f64 l)
6.0ms	(*.f64 PI.f64 l)
6.0ms	(tan.f64 (*.f64 PI.f64 l))

series503.0ms (4.3%)

Counts

4 → 15

Calls

4 calls:

355.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
66.0ms	(tan.f64 (*.f64 PI.f64 l))
42.0ms	(*.f64 PI.f64 l)
40.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 448 to 281 computations (37.3% saved)

simplify146.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4823	1012
1	4823	1012

prune146.0ms (1.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	5	10	15
Picked	0	1	1
Done	0	0	0
Total	86	17	103

Error

13.9b

Counts

103 → 17

Compiler

Compiled 1739 to 483 computations (72.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
0.7b	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
31.3b	(tan.f64 (*.f64 PI.f64 l))

rewrite49.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`times-frac_binary64`
55×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`add-exp-log_binary64`
14×	`associate-/r*_binary64`
13×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
7×	`div-exp_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`associate-/r/_binary64` `div-inv_binary64` `tan-quot_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `rec-exp_binary64` `*-commutative_binary64`
1×	`clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64`

Counts

4 → 124

Calls

4 calls:

12.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
7.0ms	(*.f64 PI.f64 l)
6.0ms	(*.f64 PI.f64 l)
3.0ms	(tan.f64 (*.f64 PI.f64 l))

series507.0ms (4.3%)

Counts

4 → 15

Calls

4 calls:

361.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
70.0ms	(tan.f64 (*.f64 PI.f64 l))
37.0ms	(*.f64 PI.f64 l)
37.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 484 to 317 computations (34.5% saved)

simplify209.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	4765	2272
1	4765	2272

prune213.0ms (1.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	1	14	15
Picked	1	0	1
Done	0	1	1
Total	140	16	156

Error

13.9b

Counts

156 → 16

Compiler

Compiled 3036 to 953 computations (68.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 l (sqrt.f64 PI.f64))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
31.2b	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
10×	`sqrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow1_binary64`
6×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `tan-quot_binary64` `*-commutative_binary64`

Counts

4 → 56

Calls

4 calls:

10.0ms	(*.f64 l (sqrt.f64 PI.f64))
5.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))
3.0ms	(sqrt.f64 PI.f64)
2.0ms	(sqrt.f64 PI.f64)

series130.0ms (1.1%)

Counts

4 → 6

Calls

4 calls:

66.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))
64.0ms	(*.f64 l (sqrt.f64 PI.f64))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 196 to 128 computations (34.7% saved)

simplify128.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5033	525

prune80.0ms (0.7%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	60	18	78

Error

13.9b

Counts

78 → 18

Compiler

Compiled 1174 to 354 computations (69.8% saved)

regimes1.0s (8.8%)

Accuracy

Total 0.3b remaining (2.4%)

Threshold costs 0.3b (2.4%)

Compiler

Compiled 6560 to 3922 computations (40.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	23
1	44	23

end0.0ms (0%)

sample5.2s (44.8%)

Algorithm

1×

intervals

Results

1.6s	1056×	body	2048	valid
795.0ms	1813×	body	1024	valid
371.0ms	4046×	body	128	valid
342.0ms	58×	body	4096	valid
215.0ms	731×	body	512	valid
58.0ms	296×	body	256	valid
17.0ms	172×	body	128	invalid
6.0ms	8×	body	2048	invalid
4.0ms	5×	body	8192	exit

Compiler

Compiled 1030 to 618 computations (40% saved)

Details

analyze2.0s (17.4%)

sample153.0ms (1.3%)

simplify42.0ms (0.4%)

prune12.0ms (0.1%)

localize20.0ms (0.2%)

rewrite42.0ms (0.4%)

series549.0ms (4.7%)

simplify144.0ms (1.2%)

prune188.0ms (1.6%)

localize15.0ms (0.1%)

rewrite35.0ms (0.3%)

series503.0ms (4.3%)

simplify146.0ms (1.2%)

prune146.0ms (1.3%)

localize19.0ms (0.2%)

rewrite49.0ms (0.4%)

series507.0ms (4.3%)

simplify209.0ms (1.8%)

prune213.0ms (1.8%)

localize21.0ms (0.2%)

rewrite28.0ms (0.2%)

series130.0ms (1.1%)

simplify128.0ms (1.1%)

prune80.0ms (0.7%)

regimes1.0s (8.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample5.2s (44.8%)

Profiling