Details

analyze893.0ms (9.6%)

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)

sample86.0ms (0.9%)

Algorithm

1×

intervals

Results

29.0ms	32×	body	2048	valid
17.0ms	66×	body	1024	valid
15.0ms	3×	body	4096	valid
7.0ms	126×	body	128	valid
2.0ms	14×	body	512	valid
2.0ms	15×	body	256	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify111.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

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

Error

16.2b

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)
4.0b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
30.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite103.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

12.3b

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:

11.0ms	(*.f64 PI.f64 l)
7.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
4.0ms	(*.f64 PI.f64 l)
3.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1159 to 255 computations (78% saved)

series346.0ms (3.7%)

Error

16.2b

Counts

4 → 21

Calls

4 calls:

218.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
74.0ms	(tan.f64 (*.f64 PI.f64 l))
17.0ms	(*.f64 PI.f64 l)
17.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 1037 to 596 computations (42.5% saved)

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4918	1168
1	4918	1168

prune106.0ms (1.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	71	16	87
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	73	16	89

Error

12.3b

Counts

89 → 16

Compiler

Compiled 1785 to 496 computations (72.2% 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)
0.5b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
30.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite346.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

12.3b

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:

12.0ms	(/.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 6877 to 2147 computations (68.8% saved)

series342.0ms (3.7%)

Error

12.3b

Counts

4 → 21

Calls

4 calls:

222.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
58.0ms	(tan.f64 (*.f64 PI.f64 l))
20.0ms	(*.f64 PI.f64 l)
20.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 1101 to 671 computations (39.1% saved)

simplify150.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

269 → 269

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4913	6655
1	4913	6655

prune269.0ms (2.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	263	6	269
Fresh	5	10	15
Picked	0	1	1
Done	0	0	0
Total	268	17	285

Error

12.3b

Counts

285 → 17

Compiler

Compiled 6496 to 1866 computations (71.3% saved)

localize8.0ms (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)
30.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite72.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

12.3b

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:

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 1290 to 337 computations (73.9% saved)

series324.0ms (3.5%)

Error

12.3b

Counts

4 → 21

Calls

4 calls:

209.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
57.0ms	(tan.f64 (*.f64 PI.f64 l))
22.0ms	(*.f64 PI.f64 l)
20.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 1013 to 532 computations (47.5% saved)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4906	1243
1	4906	1243

prune84.0ms (0.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	2	13	15
Picked	1	0	1
Done	0	1	1
Total	92	18	110

Error

12.3b

Counts

110 → 18

Compiler

Compiled 1931 to 601 computations (68.9% 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)
30.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite75.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

12.3b

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:

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 1434 to 498 computations (65.3% saved)

series325.0ms (3.5%)

Error

12.3b

Counts

4 → 21

Calls

4 calls:

207.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
57.0ms	(tan.f64 (*.f64 PI.f64 l))
23.0ms	(*.f64 PI.f64 l)
20.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 1123 to 664 computations (40.9% saved)

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4906	1243
1	4906	1243

prune71.0ms (0.8%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	93	18	111

Error

12.3b

Counts

111 → 18

Compiler

Compiled 1804 to 646 computations (64.2% saved)

regimes1.2s (13.2%)

Accuracy

Total 0.3b remaining (2.4%)

Threshold costs 0.3b (2.4%)

Compiler

Compiled 16445 to 10412 computations (36.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	23
1	33	23

end0.0ms (0%)

sample4.1s (44%)

Algorithm

1×

intervals

Results

902.0ms	1053×	body	2048	valid
436.0ms	1798×	body	1024	valid
208.0ms	4103×	body	128	valid
173.0ms	52×	body	4096	valid
110.0ms	681×	body	512	valid
37.0ms	313×	body	256	valid
10.0ms	183×	body	128	invalid
2.0ms	6×	body	2048	invalid
1.0ms	4×	body	8192	exit

Compiler

Compiled 2616 to 1662 computations (36.5% saved)

Details

analyze893.0ms (9.6%)

sample86.0ms (0.9%)

simplify111.0ms (1.2%)

prune6.0ms (0.1%)

localize9.0ms (0.1%)

rewrite103.0ms (1.1%)

series346.0ms (3.7%)

simplify73.0ms (0.8%)

prune106.0ms (1.1%)

localize9.0ms (0.1%)

rewrite346.0ms (3.7%)

series342.0ms (3.7%)

simplify150.0ms (1.6%)

prune269.0ms (2.9%)

localize8.0ms (0.1%)

rewrite72.0ms (0.8%)

series324.0ms (3.5%)

simplify76.0ms (0.8%)

prune84.0ms (0.9%)

localize9.0ms (0.1%)

rewrite75.0ms (0.8%)

series325.0ms (3.5%)

simplify80.0ms (0.9%)

prune71.0ms (0.8%)

regimes1.2s (13.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.1s (44%)

Profiling