Details

analyze1.0s (8.4%)

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 17 to 11 computations (35.3% saved)

sample3.5s (28.4%)

Results

1.3s	1084×	body	2048	valid
918.0ms	1919×	body	1024	valid
624.0ms	4153×	body	128	valid
262.0ms	750×	body	512	valid
201.0ms	55×	body	4096	valid
73.0ms	295×	body	256	valid
32.0ms	217×	body	128	invalid
3.0ms	5×	body	2048	invalid
3.0ms	4×	body	8192	exit

Compiler

Compiled 50 to 32 computations (36% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

297×	`fma-def_binary64`
157×	`fma-neg_binary64`
50×	`cancel-sign-sub-inv_binary64`
37×	`associate-/l*_binary64`
33×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	25	20
2	50	20
3	121	20
4	181	20
5	247	20
6	321	20
7	384	20
8	470	20
9	483	20
10	509	20
11	462	20

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

13.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	13.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	13.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 88 to 48 computations (45.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) l)
✓	2.4b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	29.5b	(tan.f64 (*.f64 (PI.f64) l))

series72.0ms (0.6%)

Counts

3 → 36

Calls

3 calls:

55.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
15.0ms	(tan.f64 (*.f64 (PI.f64) l))
2.0ms	(*.f64 (PI.f64) l)

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 54

Calls

3 calls:

4.0ms	(*.f64 (PI.f64) l)
4.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
1.0ms	(tan.f64 (*.f64 (PI.f64) l))

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

532×	`unswap-sqr_binary64`
436×	`times-frac_binary64`
409×	`associate-/l*_binary64`
310×	`associate-l_binary64`
261×	`fma-def_binary64`

Counts

90 → 76

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	118	1607
1	265	1465
2	788	1465
3	3045	1465
4	3595	1465
5	4657	1465
6	4991	1465

prune129.0ms (1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	83	14	97
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	84	15	99

Error

11.4b

Counts

99 → 15

Alt Table

Status	Error	Program
	14.4b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	13.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	37.6b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	41.9b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	11.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	14.3b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	13.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) l))) (*.f64 F F)))
	36.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))
	13.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	41.9b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 l l) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	11.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	13.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	13.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
	23.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	19.1b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))

Compiler

Compiled 2470 to 857 computations (65.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.2b	(*.f64 (PI.f64) l)
✓	0.7b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	29.5b	(tan.f64 (*.f64 (PI.f64) l))

series155.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

99.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
55.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

405×	`times-frac_binary64`
195×	`*-un-lft-identity_binary64`
195×	`add-sqr-sqrt_binary64`
195×	`add-cube-cbrt_binary64`
47×	`associate-/r*_binary64`

Counts

2 → 236

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
3.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

simplify354.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

587×	`fma-neg_binary64`
352×	`*-commutative_binary64`
291×	`fma-def_binary64`
278×	`associate-/r/_binary64`
242×	`unswap-sqr_binary64`

Counts

284 → 341

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	280	8467
1	586	7416
2	1805	7073
3	2193	7067
4	2824	7067
5	4081	6913
6	4484	6901
7	4978	6901
8	4894	6901

prune768.0ms (6.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	395	6	401
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	401	15	416

Error

11.4b

Counts

416 → 15

Alt Table

Status	Error	Program
▶	11.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	11.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (cbrt.f64 F) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	14.4b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	13.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	13.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	11.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (cbrt.f64 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))) (/.f64 1 (cbrt.f64 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))))
	14.3b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	13.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) l))) (*.f64 F F)))
	36.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))
	39.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	41.9b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 l l) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	40.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (/.f64 (.f64 (cbrt.f64 F) (cbrt.f64 F)) (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (sqrt.f64 F)))) (/.f64 1 (/.f64 (cbrt.f64 F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F))))))
	21.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F))))
	19.1b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	37.6b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))

Compiler

Compiled 11263 to 3593 computations (68.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.2b	(*.f64 (PI.f64) l)
	29.5b	(tan.f64 (*.f64 (PI.f64) l))

series68.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

68.0ms

(/.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
43×	`add-cube-cbrt_binary64`
13×	`associate-/r*_binary64`

Counts

1 → 78

Calls

1 calls:

4.0ms

(/.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))

simplify112.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

514×	`distribute-rgt-neg-in_binary64`
465×	`distribute-lft-neg-in_binary64`
381×	`fma-neg_binary64`
366×	`associate-l_binary64`
363×	`associate-r_binary64`

Counts

102 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	2291
1	253	2049
2	751	2018
3	2439	2013
4	4425	2013
5	4985	2013

prune304.0ms (2.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	218	4	222
Fresh	6	8	14
Picked	1	0	1
Done	0	0	0
Total	225	12	237

Error

1.6b

Counts

237 → 12

Alt Table

Status	Error	Program
	12.3b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 (/.f64 1 F) (/.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	41.9b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 l l) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	11.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (cbrt.f64 F) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	11.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (.f64 (.f64 (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))))
	13.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	11.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (cbrt.f64 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))) (/.f64 1 (cbrt.f64 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))))
	39.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	14.4b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	1.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 l 5) F))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F))))))))
	36.6b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (/.f64 1 F) (/.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
	19.1b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	36.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))

Compiler

Compiled 6175 to 2572 computations (58.3% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (PI.f64) 5)
✓	1.7b	(/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 l 5) F))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) F)))))))
✓	3.8b	(*.f64 (pow.f64 l 5) F)
✓	4.9b	(*.f64 (pow.f64 l 3) F)

series528.0ms (4.2%)

Counts

4 → 48

Calls

4 calls:

495.0ms	(/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 l 5) F))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) F)))))))
21.0ms	(*.f64 (pow.f64 l 5) F)
11.0ms	(*.f64 (pow.f64 l 3) F)
0.0ms	(pow.f64 (PI.f64) 5)

rewrite61.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64`
109×	`add-sqr-sqrt_binary64`
97×	`*-un-lft-identity_binary64`
69×	`add-cube-cbrt_binary64`
24×	`add-exp-log_binary64`

Counts

4 → 185

Calls

4 calls:

21.0ms	(/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 l 5) F))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) F)))))))
5.0ms	(*.f64 (pow.f64 l 3) F)
4.0ms	(*.f64 (pow.f64 l 5) F)
1.0ms	(pow.f64 (PI.f64) 5)

simplify268.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

748×	`fma-def_binary64`
411×	`unswap-sqr_binary64`
299×	`associate-l_binary64`
292×	`associate-r_binary64`
170×	`fma-neg_binary64`

Counts

233 → 265

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	13065
1	859	12066
2	3197	12023
3	5198	12023

prune799.0ms (6.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	260	5	265
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	261	16	277

Error

1.4b

Counts

277 → 16

Alt Table

Status	Error	Program
	41.9b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 l l) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	2.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) 5) (.f64 (pow.f64 (cbrt.f64 l) 5) F)))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F))))))))
	12.3b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 (/.f64 1 F) (/.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	11.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (cbrt.f64 F) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	11.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (.f64 (.f64 (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))))
	14.4b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	1.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (-.f64 (/.f64 F (.f64 l (PI.f64))) (fma.f64 1/3 (.f64 F (.f64 l (PI.f64))) (fma.f64 2/945 (.f64 F (.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))) (.f64 1/45 (.f64 F (pow.f64 (.f64 l (PI.f64)) 3)))))))))
	13.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	11.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (cbrt.f64 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))) (/.f64 1 (cbrt.f64 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))))
	39.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	31.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 (sqrt.f64 l) 5) (.f64 (pow.f64 (sqrt.f64 l) 5) F)))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) F))))))))
	51.6b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (neg.f64 (log.f64 F)) (log.f64 (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 l 5) F))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F))))))))))
	2.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (log1p.f64 (expm1.f64 (.f64 (pow.f64 l 5) F))))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F))))))))
	36.6b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (/.f64 1 F) (/.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
	19.1b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	36.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))

Compiler

Compiled 17868 to 10158 computations (43.1% saved)

regimes3.7s (29.6%)

Accuracy

Total 1.1b remaining (46.7%)

Threshold costs 0b (0%)

Counts

335 → 1

Compiler

Compiled 64401 to 38708 computations (39.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	65
1	39	65
2	48	65
3	52	65
4	54	65
5	52	65

end307.0ms (2.5%)

Compiler: Compiled 621 to 362 computations (41.7% saved)

Iter	Nodes	Cost
0	11	23
1	25	20
2	50	20
3	121	20
4	181	20
5	247	20
6	321	20
7	384	20
8	470	20
9	483	20
10	509	20
11	462	20

Iter	Nodes	Cost
0	11	23
1	25	20
2	50	20
3	121	20
4	181	20
5	247	20
6	321	20
7	384	20
8	470	20
9	483	20
10	509	20
11	462	20

Details

analyze1.0s (8.4%)

sample3.5s (28.4%)

simplify23.0ms (0.2%)

prune5.0ms (0%)

localize7.0ms (0.1%)

series72.0ms (0.6%)

rewrite11.0ms (0.1%)

simplify97.0ms (0.8%)

prune129.0ms (1%)

localize9.0ms (0.1%)

series155.0ms (1.2%)

rewrite44.0ms (0.4%)

simplify354.0ms (2.9%)

prune768.0ms (6.2%)

localize9.0ms (0.1%)

series68.0ms (0.5%)

rewrite10.0ms (0.1%)

simplify112.0ms (0.9%)

prune304.0ms (2.4%)

localize26.0ms (0.2%)

series528.0ms (4.2%)

rewrite61.0ms (0.5%)

simplify268.0ms (2.2%)

prune799.0ms (6.4%)

regimes3.7s (29.6%)

simplify3.0ms (0%)

end307.0ms (2.5%)

Profiling

Iter	Nodes	Cost
0	11	23
1	25	20
2	50	20
3	121	20
4	181	20
5	247	20
6	321	20
7	384	20
8	470	20
9	483	20
10	509	20
11	462	20