Details

analyze1.4s (13.7%)

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)

sample77.0ms (0.8%)

Algorithm

1×

intervals

Results

21.0ms	27×	body	2048	valid
16.0ms	60×	body	1024	valid
14.0ms	2×	body	4096	valid
7.0ms	141×	body	128	valid
2.0ms	14×	body	512	valid
2.0ms	12×	body	256	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

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

15.1b

Counts

2 → 2

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
4.3b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
28.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite150.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

10.5b

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 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
7.0ms	(*.f64 PI.f64 l)
7.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1159 to 255 computations (78% saved)

series366.0ms (3.7%)

Error

15.1b

Counts

4 → 15

Calls

4 calls:

234.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
66.0ms	(tan.f64 (*.f64 PI.f64 l))
26.0ms	(*.f64 PI.f64 l)
20.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 663 to 339 computations (48.9% saved)

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5862	910

prune115.0ms (1.2%)

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

10.5b

Counts

83 → 16

Compiler

Compiled 1583 to 400 computations (74.7% 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)
28.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite101.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

10.5b

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)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1290 to 337 computations (73.9% saved)

series328.0ms (3.3%)

Error

10.5b

Counts

4 → 15

Calls

4 calls:

217.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
44.0ms	(tan.f64 (*.f64 PI.f64 l))
28.0ms	(*.f64 PI.f64 l)
23.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 661 to 302 computations (54.3% saved)

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4823	1012
1	4823	1012

prune117.0ms (1.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	1	14	15
Picked	1	0	1
Done	0	0	0
Total	84	19	103

Error

10.5b

Counts

103 → 19

Compiler

Compiled 1802 to 516 computations (71.4% 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)
0.6b	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
28.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite179.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

10.5b

Rules

78×	`times-frac_binary64`
55×	`add-sqr-sqrt_binary64`
51×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`add-exp-log_binary64`
14×	`associate-/r*_binary64`
13×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
7×	`div-exp_binary64`
6×	`associate-l_binary64` `associate-r_binary64`
5×	`tan-quot_binary64` `div-inv_binary64` `associate-/r/_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `associate-/l*_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_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)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 2818 to 1012 computations (64.1% saved)

series375.0ms (3.8%)

Error

10.5b

Counts

4 → 15

Calls

4 calls:

230.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
67.0ms	(tan.f64 (*.f64 PI.f64 l))
38.0ms	(*.f64 PI.f64 l)
29.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 715 to 371 computations (48.1% saved)

simplify133.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4765	2272
1	4765	2272

prune206.0ms (2.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	2	16	18
Picked	0	1	1
Done	0	0	0
Total	137	21	158

Error

10.5b

Counts

158 → 21

Compiler

Compiled 3155 to 1017 computations (67.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 PI.f64 l)) F))
0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
28.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite128.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

10.5b

Rules

43×	`add-sqr-sqrt_binary64`
30×	`add-exp-log_binary64`
25×	`times-frac_binary64`
24×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
19×	`associate-l_binary64` `associate-r_binary64`
10×	`pow1_binary64` `prod-exp_binary64`
8×	`unswap-sqr_binary64` `div-exp_binary64`
6×	`cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64`
3×	`pow-prod-down_binary64` `*-commutative_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `div-inv_binary64`
1×	`tan-quot_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

4 → 100

Calls

4 calls:

12.0ms	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 PI.f64 l)) F))
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 2133 to 753 computations (64.7% saved)

series356.0ms (3.6%)

Error

10.5b

Counts

4 → 15

Calls

4 calls:

241.0ms	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 PI.f64 l)) F))
60.0ms	(tan.f64 (*.f64 PI.f64 l))
22.0ms	(*.f64 PI.f64 l)
22.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 717 to 407 computations (43.2% saved)

simplify144.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	5108	1516

prune115.0ms (1.2%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	18	19
Picked	0	1	1
Done	0	1	1
Total	115	21	136

Error

10.5b

Counts

136 → 21

Compiler

Compiled 2073 to 586 computations (71.7% saved)

regimes1.0s (10.2%)

Accuracy

Total 0.3b remaining (2.4%)

Threshold costs 0.3b (2.4%)

Compiler

Compiled 10742 to 6337 computations (41% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	23
1	44	23

end0.0ms (0%)

sample4.4s (44.1%)

Algorithm

1×

intervals

Results

1.1s	1010×	body	2048	valid
576.0ms	1828×	body	1024	valid
262.0ms	4093×	body	128	valid
255.0ms	60×	body	4096	valid
150.0ms	703×	body	512	valid
43.0ms	306×	body	256	valid
12.0ms	179×	body	128	invalid
3.0ms	7×	body	2048	invalid
1.0ms	3×	body	8192	exit

Compiler

Compiled 1684 to 996 computations (40.9% saved)

Details

analyze1.4s (13.7%)

sample77.0ms (0.8%)

simplify23.0ms (0.2%)

prune6.0ms (0.1%)

localize10.0ms (0.1%)

rewrite150.0ms (1.5%)

series366.0ms (3.7%)

simplify114.0ms (1.1%)

prune115.0ms (1.2%)

localize8.0ms (0.1%)

rewrite101.0ms (1%)

series328.0ms (3.3%)

simplify99.0ms (1%)

prune117.0ms (1.2%)

localize9.0ms (0.1%)

rewrite179.0ms (1.8%)

series375.0ms (3.8%)

simplify133.0ms (1.3%)

prune206.0ms (2.1%)

localize13.0ms (0.1%)

rewrite128.0ms (1.3%)

series356.0ms (3.6%)

simplify144.0ms (1.5%)

prune115.0ms (1.2%)

regimes1.0s (10.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.4s (44.1%)

Profiling