Details

analyze870.0ms (13%)

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
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)

sample82.0ms (1.2%)

Algorithm

1×

intervals

Results

30.0ms	34×	body	2048	valid
15.0ms	3×	body	4096	valid
14.0ms	56×	body	1024	valid
6.0ms	127×	body	128	valid
4.0ms	24×	body	512	valid
1.0ms	12×	body	256	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	299	20
1	299	20

prune6.0ms (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

Merged error: 17.5b

Counts

2 → 2

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
4.8b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
31.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite22.0ms (0.3%)

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:

7.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
3.0ms	(tan.f64 (*.f64 PI.f64 l))

series351.0ms (5.2%)

Counts

4 → 17

Calls

4 calls:

245.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
69.0ms	(tan.f64 (*.f64 PI.f64 l))
19.0ms	(*.f64 PI.f64 l)
18.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 544 to 388 computations (28.7% saved)

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4943	966
1	4943	966

prune98.0ms (1.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	71	12	83
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	73	12	85

Merged error: 0.2b

Counts

85 → 12

Compiler

Compiled 1541 to 398 computations (74.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
31.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite17.0ms (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:

4.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
4.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

series336.0ms (5%)

Counts

4 → 17

Calls

4 calls:

247.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
46.0ms	(tan.f64 (*.f64 PI.f64 l))
23.0ms	(*.f64 PI.f64 l)
21.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 606 to 437 computations (27.9% saved)

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5082	1064

prune85.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	89	12	101

Merged error: 0.2b

Counts

101 → 12

Compiler

Compiled 1890 to 709 computations (62.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
31.1b	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))
3.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

series69.0ms (1%)

Counts

4 → 7

Calls

4 calls:

47.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))
21.0ms	(.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 241 to 179 computations (25.7% saved)

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5056	491

prune61.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	62	12	74

Merged error: 0.2b

Counts

74 → 12

Compiler

Compiled 1433 to 637 computations (55.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.5b	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
31.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite28.0ms (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:

7.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
4.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
3.0ms	(tan.f64 (*.f64 PI.f64 l))

series346.0ms (5.2%)

Counts

4 → 17

Calls

4 calls:

257.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
47.0ms	(tan.f64 (*.f64 PI.f64 l))
21.0ms	(*.f64 PI.f64 l)
21.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 644 to 475 computations (26.2% saved)

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4829	2324
1	4829	2324

prune120.0ms (1.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	141	12	153

Merged error: 0.1b

Counts

153 → 12

Compiler

Compiled 3070 to 1136 computations (63% saved)

regimes781.0ms (11.7%)

Compiler: Compiled 6013 to 3653 computations (39.2% saved)

bsearch146.0ms (2.2%)

Steps

Iters	Range		Point
9	1.9463846670721417e-150	9.247683852262686e-144	2.3653030936545813e-148
5	-2.65271522950306e-184	-8.373815122113942e-185	-2.5900579807970206e-184

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	189	95
1	189	95

end0.0ms (0%)

sample2.8s (41.6%)

Algorithm

1×

intervals

Results

878.0ms	1036×	body	2048	valid
445.0ms	1833×	body	1024	valid
207.0ms	4119×	body	128	valid
183.0ms	56×	body	4096	valid
114.0ms	681×	body	512	valid
30.0ms	275×	body	256	valid
9.0ms	163×	body	128	invalid
4.0ms	10×	body	2048	invalid
4.0ms	10×	body	8192	exit

Compiler

Compiled 952 to 577 computations (39.4% saved)

Details

analyze870.0ms (13%)

sample82.0ms (1.2%)

simplify113.0ms (1.7%)

prune6.0ms (0.1%)

localize9.0ms (0.1%)

rewrite22.0ms (0.3%)

series351.0ms (5.2%)

simplify77.0ms (1.2%)

prune98.0ms (1.5%)

localize9.0ms (0.1%)

rewrite17.0ms (0.3%)

series336.0ms (5%)

simplify60.0ms (0.9%)

prune85.0ms (1.3%)

localize12.0ms (0.2%)

rewrite19.0ms (0.3%)

series69.0ms (1%)

simplify70.0ms (1%)

prune61.0ms (0.9%)

localize10.0ms (0.1%)

rewrite28.0ms (0.4%)

series346.0ms (5.2%)

simplify104.0ms (1.5%)

prune120.0ms (1.8%)

regimes781.0ms (11.7%)

bsearch146.0ms (2.2%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.8s (41.6%)

Profiling