Details

analyze1.1s (11.2%)

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)

sample72.0ms (0.7%)

Algorithm

1×

intervals

Results

29.0ms	33×	body	2048	valid
15.0ms	59×	body	1024	valid
6.0ms	129×	body	128	valid
4.0ms	26×	body	512	valid
2.0ms	1×	body	4096	valid
1.0ms	8×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	299	20
1	299	20

prune8.0ms (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

17.9b

Counts

2 → 2

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
5.5b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
29.6b	(tan.f64 (*.f64 PI.f64 l))

rewrite121.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

12.1b

Rules

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

Counts

4 → 66

Calls

4 calls:

13.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
4.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1089 to 236 computations (78.3% saved)

series442.0ms (4.3%)

Error

17.9b

Counts

4 → 15

Calls

4 calls:

302.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
77.0ms	(tan.f64 (*.f64 PI.f64 l))
30.0ms	(*.f64 PI.f64 l)
26.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 518 to 319 computations (38.4% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5862	910

prune65.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	73	8	81
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	74	9	83

Error

12.2b

Counts

83 → 9

Compiler

Compiled 1037 to 291 computations (71.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
0.3b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
29.6b	(tan.f64 (*.f64 PI.f64 l))

rewrite477.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

12.1b

Rules

396×	`times-frac_binary64`
197×	`add-sqr-sqrt_binary64`
193×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
44×	`associate-/r*_binary64`
29×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64` `div-inv_binary64`
15×	`div-exp_binary64`
9×	`pow1_binary64`
6×	`cbrt-undiv_binary64` `associate-l_binary64` `associate-r_binary64`
5×	`associate-/r/_binary64`
4×	`add-log-exp_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`tan-quot_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 248

Calls

4 calls:

15.0ms	(/.f64 1 (/.f64 F (/.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))

Compiler

Compiled 6781 to 2111 computations (68.9% saved)

series412.0ms (4.1%)

Error

12.2b

Counts

4 → 15

Calls

4 calls:

294.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
53.0ms	(tan.f64 (*.f64 PI.f64 l))
31.0ms	(*.f64 PI.f64 l)
26.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 560 to 363 computations (35.2% saved)

simplify146.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

263 → 263

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5136	6397

prune228.0ms (2.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	253	10	263
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	256	16	272

Error

12.2b

Counts

272 → 16

Compiler

Compiled 3863 to 1226 computations (68.3% saved)

localize9.0ms (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)
29.6b	(tan.f64 (*.f64 PI.f64 l))

rewrite104.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

12.1b

Rules

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

Compiler

Compiled 1354 to 449 computations (66.8% saved)

series422.0ms (4.1%)

Error

12.2b

Counts

4 → 15

Calls

4 calls:

295.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
56.0ms	(tan.f64 (*.f64 PI.f64 l))
35.0ms	(*.f64 PI.f64 l)
30.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 573 to 370 computations (35.4% saved)

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4823	1012
1	4823	1012

prune83.0ms (0.8%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	87	16	103

Error

12.2b

Counts

103 → 16

Compiler

Compiled 1453 to 562 computations (61.3% saved)

localize10.0ms (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)
29.6b	(tan.f64 (*.f64 PI.f64 l))

rewrite109.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

12.1b

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(*.f64 PI.f64 l)
4.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1354 to 464 computations (65.7% saved)

series441.0ms (4.3%)

Error

12.2b

Counts

4 → 15

Calls

4 calls:

315.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
57.0ms	(tan.f64 (*.f64 PI.f64 l))
32.0ms	(*.f64 PI.f64 l)
30.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 573 to 370 computations (35.4% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4823	1012
1	4823	1012

prune65.0ms (0.6%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	12	13
Picked	0	1	1
Done	0	2	2
Total	87	16	103

Error

12.2b

Counts

103 → 16

Compiler

Compiled 1153 to 396 computations (65.7% saved)

regimes2.7s (26.9%)

Accuracy

Total 0.6b remaining (5%)

Threshold costs 0.6b (5%)

Compiler

Compiled 25745 to 15659 computations (39.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	20
1	34	20

end1.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

sample2.8s (27.6%)

Algorithm

1×

intervals

Results

910.0ms	1018×	body	2048	valid
482.0ms	1886×	body	1024	valid
200.0ms	3969×	body	128	valid
155.0ms	46×	body	4096	valid
133.0ms	761×	body	512	valid
36.0ms	320×	body	256	valid
10.0ms	171×	body	128	invalid
2.0ms	6×	body	2048	invalid

Compiler

Compiled 358 to 229 computations (36% saved)

Details

analyze1.1s (11.2%)

sample72.0ms (0.7%)

simplify20.0ms (0.2%)

prune8.0ms (0.1%)

localize10.0ms (0.1%)

rewrite121.0ms (1.2%)

series442.0ms (4.3%)

simplify75.0ms (0.7%)

prune65.0ms (0.6%)

localize10.0ms (0.1%)

rewrite477.0ms (4.7%)

series412.0ms (4.1%)

simplify146.0ms (1.4%)

prune228.0ms (2.2%)

localize9.0ms (0.1%)

rewrite104.0ms (1%)

series422.0ms (4.1%)

simplify74.0ms (0.7%)

prune83.0ms (0.8%)

localize10.0ms (0.1%)

rewrite109.0ms (1.1%)

series441.0ms (4.3%)

simplify72.0ms (0.7%)

prune65.0ms (0.6%)

regimes2.7s (26.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample2.8s (27.6%)

Profiling