Details

analyze866.0ms (10.1%)

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)

sample114.0ms (1.3%)

Algorithm

1×

intervals

Results

50.0ms	24×	body	2048	valid
18.0ms	50×	body	1024	valid
17.0ms	2×	body	4096	valid
9.0ms	27×	body	512	valid
7.0ms	146×	body	128	valid
1.0ms	7×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify181.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	287	20
1	287	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

Merged error: 14.0b

Counts

2 → 2

Compiler

Compiled 64 to 44 computations (31.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
4.1b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
26.5b	(tan.f64 (*.f64 PI.f64 l))

rewrite24.0ms (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

4 calls:

8.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
3.0ms	(tan.f64 (*.f64 PI.f64 l))

series288.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
88.0ms	(tan.f64 (*.f64 PI.f64 l))
30.0ms	(*.f64 PI.f64 l)
26.0ms	(*.f64 PI.f64 l)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4967	914
1	4967	914

prune409.0ms (4.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	62	16	78
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	64	16	80

Merged error: 9.7b

Counts

80 → 16

Compiler

Compiled 7165 to 3703 computations (48.3% 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 (tan.f64 (*.f64 PI.f64 l)) F)
26.5b	(tan.f64 (*.f64 PI.f64 l))

rewrite20.0ms (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

4 calls:

5.0ms	(/.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))

series278.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
74.0ms	(tan.f64 (*.f64 PI.f64 l))
35.0ms	(*.f64 PI.f64 l)
33.0ms	(*.f64 PI.f64 l)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4878	1019
1	4878	1019

prune321.0ms (3.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	4	11	15
Picked	0	1	1
Done	0	0	0
Total	83	17	100

Merged error: 9.7b

Counts

100 → 17

Compiler

Compiled 5821 to 3040 computations (47.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.3b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
26.5b	(tan.f64 (*.f64 PI.f64 l))

rewrite67.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 258

Calls

4 calls:

15.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
5.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

series397.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
124.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
71.0ms	(tan.f64 (*.f64 PI.f64 l))
28.0ms	(*.f64 PI.f64 l)

simplify153.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

270 → 270

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5077	6933

prune488.0ms (5.7%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	264	6	270
Fresh	5	10	15
Picked	0	1	1
Done	0	1	1
Total	269	18	287

Merged error: 9.7b

Counts

287 → 18

Compiler

Compiled 11264 to 4374 computations (61.2% 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 (tan.f64 (.f64 PI.f64 l)) (/.f64 1 F))
26.5b	(tan.f64 (*.f64 PI.f64 l))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
17×	`*-un-lft-identity_binary64` `add-exp-log_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×	`pow-prod-down_binary64` `tan-quot_binary64` `*-commutative_binary64`
2×	`div-exp_binary64`
1×	`1-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64`

Counts

4 → 82

Calls

4 calls:

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

series256.0ms (3%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(.f64 (tan.f64 (.f64 PI.f64 l)) (/.f64 1 F))
66.0ms	(tan.f64 (*.f64 PI.f64 l))
30.0ms	(*.f64 PI.f64 l)
26.0ms	(*.f64 PI.f64 l)

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4984	1071
1	4984	1071

prune127.0ms (1.5%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	15	15
Picked	0	1	1
Done	1	1	2
Total	93	19	112

Merged error: 9.7b

Counts

112 → 19

Compiler

Compiled 2719 to 1307 computations (51.9% saved)

regimes169.0ms (2%)

Compiler: Compiled 1824 to 1116 computations (38.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	23
1	69	23

end0.0ms (0%)

sample4.1s (48%)

Algorithm

1×

intervals

Results

1.9s	1010×	body	2048	valid
682.0ms	1806×	body	1024	valid
530.0ms	69×	body	4096	valid
214.0ms	4114×	body	128	valid
145.0ms	702×	body	512	valid
38.0ms	299×	body	256	valid
9.0ms	159×	body	128	invalid
9.0ms	11×	body	2048	invalid
3.0ms	7×	body	8192	exit

Compiler

Compiled 447 to 276 computations (38.3% saved)

Details

analyze866.0ms (10.1%)

sample114.0ms (1.3%)

simplify181.0ms (2.1%)

prune8.0ms (0.1%)

localize16.0ms (0.2%)

rewrite24.0ms (0.3%)

series288.0ms (3.4%)

simplify66.0ms (0.8%)

prune409.0ms (4.8%)

localize10.0ms (0.1%)

rewrite20.0ms (0.2%)

series278.0ms (3.2%)

simplify70.0ms (0.8%)

prune321.0ms (3.7%)

localize9.0ms (0.1%)

rewrite67.0ms (0.8%)

series397.0ms (4.6%)

simplify153.0ms (1.8%)

prune488.0ms (5.7%)

localize10.0ms (0.1%)

rewrite30.0ms (0.3%)

series256.0ms (3%)

simplify81.0ms (0.9%)

prune127.0ms (1.5%)

regimes169.0ms (2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.1s (48%)

Profiling