Details

analyze1.6s (10.3%)

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)

sample133.0ms (0.9%)

Algorithm

1×

intervals

Results

45.0ms	29×	body	2048	valid
23.0ms	48×	body	1024	valid
13.0ms	136×	body	128	valid
13.0ms	1×	body	4096	valid
11.0ms	34×	body	512	valid
2.0ms	8×	body	256	valid
1.0ms	1×	body	2048	invalid
1.0ms	7×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify193.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	299	20
1	299	20

prune11.0ms (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

14.4b

Counts

2 → 2

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
3.0b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
29.5b	(tan.f64 (*.f64 PI.f64 l))

rewrite190.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

11.3b

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))
7.0ms	(*.f64 PI.f64 l)
7.0ms	(*.f64 PI.f64 l)
5.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1159 to 255 computations (78% saved)

series599.0ms (4%)

Error

14.4b

Counts

4 → 21

Calls

4 calls:

373.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
121.0ms	(tan.f64 (*.f64 PI.f64 l))
35.0ms	(*.f64 PI.f64 l)
34.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 1037 to 596 computations (42.5% saved)

simplify149.0ms (1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4918	1168
1	4918	1168

prune190.0ms (1.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	72	15	87
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	74	15	89

Error

11.3b

Counts

89 → 15

Compiler

Compiled 1739 to 483 computations (72.2% saved)

localize15.0ms (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)
29.5b	(tan.f64 (*.f64 PI.f64 l))

rewrite136.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

11.3b

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:

8.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
7.0ms	(*.f64 PI.f64 l)
6.0ms	(*.f64 PI.f64 l)
3.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1290 to 337 computations (73.9% saved)

series580.0ms (3.9%)

Error

11.3b

Counts

4 → 21

Calls

4 calls:

382.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
96.0ms	(tan.f64 (*.f64 PI.f64 l))
38.0ms	(*.f64 PI.f64 l)
32.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 1013 to 532 computations (47.5% saved)

simplify152.0ms (1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4906	1243
1	4906	1243

prune161.0ms (1.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	4	10	14
Picked	1	0	1
Done	0	0	0
Total	91	17	108

Error

11.3b

Counts

108 → 17

Compiler

Compiled 1911 to 591 computations (69.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.3b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
29.5b	(tan.f64 (*.f64 PI.f64 l))

rewrite561.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

11.3b

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:

31.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
7.0ms	(*.f64 PI.f64 l)
6.0ms	(*.f64 PI.f64 l)
3.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 6877 to 2147 computations (68.8% saved)

series591.0ms (3.9%)

Error

11.3b

Counts

4 → 21

Calls

4 calls:

383.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
98.0ms	(tan.f64 (*.f64 PI.f64 l))
39.0ms	(*.f64 PI.f64 l)
36.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 1101 to 671 computations (39.1% saved)

simplify291.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

269 → 269

Iterations

Useful iterations: 0 (167.0ms)

Iter	Nodes	Cost
0	4913	6655
1	4913	6655

prune428.0ms (2.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	265	4	269
Fresh	3	13	16
Picked	0	1	1
Done	0	0	0
Total	268	18	286

Error

11.3b

Counts

286 → 18

Compiler

Compiled 6492 to 1868 computations (71.2% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.3b	(.f64 (tan.f64 (.f64 PI.f64 l)) (/.f64 1 F))
29.5b	(tan.f64 (*.f64 PI.f64 l))

rewrite155.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

11.3b

Rules

27×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
17×	`add-exp-log_binary64` `*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
11×	`times-frac_binary64`
10×	`pow1_binary64`
9×	`associate-l_binary64`
6×	`prod-exp_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64`
3×	`tan-quot_binary64` `pow-prod-down_binary64` `*-commutative_binary64`
2×	`div-exp_binary64`
1×	`1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `un-div-inv_binary64` `associate-l/_binary64` `associate-r/_binary64` `div-inv_binary64`

Counts

4 → 82

Calls

4 calls:

16.0ms	(.f64 (tan.f64 (.f64 PI.f64 l)) (/.f64 1 F))
7.0ms	(*.f64 PI.f64 l)
6.0ms	(*.f64 PI.f64 l)
3.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1637 to 661 computations (59.6% saved)

series586.0ms (3.9%)

Error

11.3b

Counts

4 → 21

Calls

4 calls:

372.0ms	(.f64 (tan.f64 (.f64 PI.f64 l)) (/.f64 1 F))
101.0ms	(tan.f64 (*.f64 PI.f64 l))
38.0ms	(*.f64 PI.f64 l)
36.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 1077 to 617 computations (42.7% saved)

simplify165.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4957	1295
1	4957	1295

prune146.0ms (1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	103	18	121

Error

11.3b

Counts

121 → 18

Compiler

Compiled 1893 to 670 computations (64.6% saved)

regimes1.5s (10%)

Accuracy

Total 0.3b remaining (2.1%)

Threshold costs 0.3b (2.1%)

Compiler

Compiled 9468 to 5813 computations (38.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	29
1	37	29

end0.0ms (0%)

sample6.5s (43.1%)

Algorithm

1×

intervals

Results

1.6s	1012×	body	2048	valid
885.0ms	1842×	body	1024	valid
398.0ms	4053×	body	128	valid
362.0ms	56×	body	4096	valid
228.0ms	703×	body	512	valid
72.0ms	334×	body	256	valid
17.0ms	166×	body	128	invalid
5.0ms	6×	body	2048	invalid
2.0ms	3×	body	8192	exit

Compiler

Compiled 1493 to 918 computations (38.5% saved)

Details

analyze1.6s (10.3%)

sample133.0ms (0.9%)

simplify193.0ms (1.3%)

prune11.0ms (0.1%)

localize19.0ms (0.1%)

rewrite190.0ms (1.3%)

series599.0ms (4%)

simplify149.0ms (1%)

prune190.0ms (1.3%)

localize15.0ms (0.1%)

rewrite136.0ms (0.9%)

series580.0ms (3.9%)

simplify152.0ms (1%)

prune161.0ms (1.1%)

localize18.0ms (0.1%)

rewrite561.0ms (3.7%)

series591.0ms (3.9%)

simplify291.0ms (1.9%)

prune428.0ms (2.8%)

localize18.0ms (0.1%)

rewrite155.0ms (1%)

series586.0ms (3.9%)

simplify165.0ms (1.1%)

prune146.0ms (1%)

regimes1.5s (10%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample6.5s (43.1%)

Profiling