Details

analyze910.0ms (12.9%)

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)

sample73.0ms (1%)

Algorithm

1×

intervals

Results

21.0ms	27×	body	2048	valid
20.0ms	60×	body	1024	valid
7.0ms	141×	body	128	valid
7.0ms	2×	body	4096	valid
2.0ms	14×	body	512	valid
1.0ms	12×	body	256	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify110.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	299	20
1	299	20

prune7.0ms (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)

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

4.3b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.0b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
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))

rewrite21.0ms (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

8 calls:

6.0ms	(/.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))
0.0ms	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))

series275.0ms (3.9%)

Counts

4 → 15

Calls

4 calls:

184.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
51.0ms	(tan.f64 (*.f64 PI.f64 l))
20.0ms	(*.f64 PI.f64 l)
20.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 450 to 295 computations (34.4% saved)

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5862	910

prune145.0ms (2.1%)

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 8 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.1b	(/.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F) F)
0.0b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F))
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))

rewrite18.0ms (0.2%)

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

8 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))
0.0ms	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F))

series270.0ms (3.8%)

Counts

4 → 15

Calls

4 calls:

194.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
38.0ms	(tan.f64 (*.f64 PI.f64 l))
20.0ms	(*.f64 PI.f64 l)
18.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 448 to 281 computations (37.3% saved)

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4823	1012
1	4823	1012

prune107.0ms (1.5%)

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)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(/.f64 F (tan.f64 (*.f64 PI.f64 l)))
0.1b	(/.f64 (/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l)))) F)
0.0b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 1 (/.f64 F (tan.f64 (.f64 PI.f64 l)))) F))
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))

rewrite27.0ms (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

8 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))
0.0ms	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 1 (/.f64 F (tan.f64 (.f64 PI.f64 l)))) F))

series268.0ms (3.8%)

Counts

4 → 15

Calls

4 calls:

191.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
35.0ms	(tan.f64 (*.f64 PI.f64 l))
21.0ms	(*.f64 PI.f64 l)
21.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 484 to 317 computations (34.5% saved)

simplify118.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4765	2272
1	4765	2272

prune151.0ms (2.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	134	5	139
Fresh	4	14	18
Picked	0	1	1
Done	0	0	0
Total	138	20	158

Error

10.5b

Counts

158 → 20

Compiler

Compiled 3128 to 1008 computations (67.8% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.2b	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 PI.f64 l)) F))
0.0b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
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))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

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-r_binary64` `associate-l_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×	`associate-r/_binary64` `frac-times_binary64` `tan-quot_binary64` `associate-l/_binary64`

Counts

4 → 100

Calls

8 calls:

11.0ms	(.f64 (/.f64 1 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))
0.0ms	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))

series275.0ms (3.9%)

Counts

4 → 15

Calls

4 calls:

195.0ms	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 PI.f64 l)) F))
40.0ms	(tan.f64 (*.f64 PI.f64 l))
20.0ms	(*.f64 PI.f64 l)
20.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 486 to 331 computations (31.9% saved)

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5108	1516

prune94.0ms (1.3%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	114	21	135

Error

10.5b

Counts

135 → 21

Compiler

Compiled 2073 to 586 computations (71.7% saved)

simplify38.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	1231	1844
1	1231	1844

regimes509.0ms (7.2%)

Compiler: Compiled 5858 to 3514 computations (40% saved)

bsearch0.0ms (0%)

regimes78.0ms (1.1%)

Compiler: Compiled 460 to 360 computations (21.7% saved)

bsearch0.0ms (0%)

regimes57.0ms (0.8%)

Compiler: Compiled 240 to 208 computations (13.3% saved)

bsearch0.0ms (0%)

regimes52.0ms (0.7%)

Compiler: Compiled 188 to 172 computations (8.5% saved)

bsearch0.0ms (0%)

regimes35.0ms (0.5%)

Compiler: Compiled 72 to 86 computations (-19.4% saved)

bsearch0.0ms (0%)

regimes15.0ms (0.2%)

Accuracy

Total 0.8b remaining (6.1%)

Threshold costs 0.8b (6.1%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 62 to 44 computations (29% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	128	101
1	128	101

end0.0ms (0%)

sample3.0s (43.2%)

Algorithm

1×

intervals

Results

873.0ms	1010×	body	2048	valid
463.0ms	1828×	body	1024	valid
215.0ms	4093×	body	128	valid
193.0ms	60×	body	4096	valid
120.0ms	703×	body	512	valid
35.0ms	306×	body	256	valid
10.0ms	179×	body	128	invalid
3.0ms	7×	body	2048	invalid
1.0ms	3×	body	8192	exit

Compiler

Compiled 1144 to 690 computations (39.7% saved)

Pareto

0.8172293084624058

Details

analyze910.0ms (12.9%)

sample73.0ms (1%)

simplify110.0ms (1.6%)

prune7.0ms (0.1%)

localize16.0ms (0.2%)

rewrite21.0ms (0.3%)

series275.0ms (3.9%)

simplify76.0ms (1.1%)

prune145.0ms (2.1%)

localize8.0ms (0.1%)

rewrite18.0ms (0.2%)

series270.0ms (3.8%)

simplify74.0ms (1.1%)

prune107.0ms (1.5%)

localize10.0ms (0.1%)

rewrite27.0ms (0.4%)

series268.0ms (3.8%)

simplify118.0ms (1.7%)

prune151.0ms (2.1%)

localize10.0ms (0.1%)

rewrite28.0ms (0.4%)

series275.0ms (3.9%)

simplify108.0ms (1.5%)

prune94.0ms (1.3%)

simplify38.0ms (0.5%)

regimes509.0ms (7.2%)

bsearch0.0ms (0%)

regimes78.0ms (1.1%)

bsearch0.0ms (0%)

regimes57.0ms (0.8%)

bsearch0.0ms (0%)

regimes52.0ms (0.7%)

bsearch0.0ms (0%)

regimes35.0ms (0.5%)

bsearch0.0ms (0%)

regimes15.0ms (0.2%)

bsearch4.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample3.0s (43.2%)

Profiling