Details

analyze1.0s (8.8%)

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)

sample198.0ms (1.7%)

Algorithm

1×

intervals

Results

27.0ms	28×	body	2048	valid
17.0ms	45×	body	1024	valid
10.0ms	147×	body	128	valid
5.0ms	24×	body	512	valid
3.0ms	1×	body	4096	valid
2.0ms	11×	body	256	valid
1.0ms	7×	body	128	invalid
0.0ms	1×	body	8192	exit

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify20.0ms (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

prune3.0ms (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

16.7b

Counts

3 → 2

Alt Table

Status	Error	Program
	17.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	16.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Compiler

Compiled 88 to 48 computations (45.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	0.3b	(*.f64 (PI.f64) l)
✓	6.0b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	26.1b	(tan.f64 (*.f64 (PI.f64) l))

series118.0ms (1%)

Counts

4 → 60

Calls

4 calls:

60.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
42.0ms	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
13.0ms	(tan.f64 (*.f64 (PI.f64) l))
2.0ms	(*.f64 (PI.f64) l)

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`

Counts

4 → 82

Calls

4 calls:

5.0ms	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
4.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
3.0ms	(tan.f64 (*.f64 (PI.f64) l))
3.0ms	(*.f64 (PI.f64) l)

simplify141.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

782×	`times-frac_binary64`
624×	`fma-def_binary64`
610×	`associate-/l*_binary64`
223×	`fma-neg_binary64`
147×	`cancel-sign-sub-inv_binary64`

Counts

142 → 122

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	3051
1	478	2877
2	1544	2771
3	4922	2768
4	4881	2768

prune236.0ms (2.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	121	22	143
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	123	22	145

Error

10.5b

Counts

145 → 22

Alt Table

Status	Error	Program
	40.4b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	10.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	40.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	19.6b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	43.7b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3)) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
	38.4b	(-.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)))
	11.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) F) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))
	40.3b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	17.0b	(-.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)))
	26.5b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	17.4b	(-.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)))
	31.6b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	16.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))) (.f64 F F)))
	38.4b	(-.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)))
	35.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (.f64 (PI.f64) l)))) (*.f64 F F)))
	16.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	41.9b	(-.f64 (exp.f64 (log.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	23.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	17.0b	(-.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)))
▶	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	17.3b	(-.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)))
	16.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l))) (*.f64 F F)))

Compiler

Compiled 4092 to 1303 computations (68.2% 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)
	0.3b	(*.f64 (PI.f64) l)
✓	0.3b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	26.1b	(tan.f64 (*.f64 (PI.f64) l))

series106.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

61.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
44.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite147.0ms (1.3%)

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:

10.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
3.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

simplify387.0ms (3.4%)

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

prune1.1s (9.3%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	392	9	401
Fresh	7	14	21
Picked	1	0	1
Done	0	0	0
Total	400	23	423

Error

10.4b

Counts

423 → 23

Alt Table

Status	Error	Program
	40.4b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	38.2b	(-.f64 (exp.f64 (log.f64 (.f64 (PI.f64) l))) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	40.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	19.6b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	43.7b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3)) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
	38.4b	(-.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)))
	52.1b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (neg.f64 (-.f64 (log.f64 F) (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 F))))))
	17.3b	(-.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)))
	32.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	26.5b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
▶	10.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 1 F)))
	40.3b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	17.0b	(-.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)))
	11.2b	(-.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)))) (.f64 (cbrt.f64 F) (cbrt.f64 F))))) (/.f64 (cbrt.f64 F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))))
	17.4b	(-.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)))
	17.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F))))
	31.6b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	16.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))) (.f64 F F)))
	37.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (/.f64 (sqrt.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 (sqrt.f64 F) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 F))))))
	11.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l))) F))))
	17.0b	(-.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)))
	11.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))) (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
	35.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (.f64 (PI.f64) l)))) (*.f64 F F)))

Compiler

Compiled 11599 to 3777 computations (67.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
	0.3b	(*.f64 (PI.f64) l)
✓	1.1b	(/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
	26.1b	(tan.f64 (*.f64 (PI.f64) l))

series125.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

80.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
44.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64`
53×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
53×	`add-cube-cbrt_binary64`
17×	`associate-/r*_binary64`

Counts

2 → 112

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
3.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))

simplify129.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

495×	`distribute-rgt-neg-in_binary64`
469×	`distribute-lft-neg-in_binary64`
412×	`associate-l_binary64`
397×	`associate-r_binary64`
312×	`fma-neg_binary64`

Counts

160 → 162

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	3444
1	327	3146
2	940	3099
3	3082	3095
4	4815	3095
5	5030	3095

prune353.0ms (3.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	217	5	222
Fresh	10	12	22
Picked	1	0	1
Done	0	0	0
Total	228	17	245

Error

1.7b

Counts

245 → 17

Alt Table

Status	Error	Program
	40.4b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	38.2b	(-.f64 (exp.f64 (log.f64 (.f64 (PI.f64) l))) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	19.6b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	11.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (/.f64 F (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 l (sqrt.f64 (PI.f64))))))) (/.f64 1 F)))
	43.7b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3)) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
	17.3b	(-.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)))
	32.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	11.2b	(-.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)))) (.f64 (cbrt.f64 F) (cbrt.f64 F))))) (/.f64 (cbrt.f64 F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))))
	26.5b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	11.0b	(-.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))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (/.f64 1 F)))
	36.6b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (.f64 (/.f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (/.f64 1 F)))
	11.4b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (.f64 (/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 1 F)))
	11.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))) (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
	38.4b	(-.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)))
▶	2.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945)))))) (/.f64 1 F)))
	37.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (/.f64 (sqrt.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 (sqrt.f64 F) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 F))))))
	35.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (.f64 (PI.f64) l)))) (*.f64 F F)))

Compiler

Compiled 6406 to 2688 computations (58% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (PI.f64) 5)
✓	1.0b	(/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945))))))
✓	1.9b	(.f64 (/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 F (.f64 (pow.f64 l 5) (.f64 (pow.f64 (PI.f64) 5) -2/945)))))) (/.f64 1 F))
✓	3.2b	(.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945)))

series907.0ms (8%)

Counts

4 → 72

Calls

4 calls:

454.0ms	(.f64 (/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 F (.f64 (pow.f64 l 5) (.f64 (pow.f64 (PI.f64) 5) -2/945)))))) (/.f64 1 F))
398.0ms	(/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945))))))
54.0ms	(.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945)))
0.0ms	(pow.f64 (PI.f64) 5)

rewrite56.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`add-exp-log_binary64`
55×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64`
50×	`prod-exp_binary64`
45×	`times-frac_binary64`

Counts

4 → 166

Calls

4 calls:

15.0ms	(.f64 (/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 F (.f64 (pow.f64 l 5) (.f64 (pow.f64 (PI.f64) 5) -2/945)))))) (/.f64 1 F))
11.0ms	(.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945)))
7.0ms	(/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945))))))
1.0ms	(pow.f64 (PI.f64) 5)

simplify246.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

630×	`times-frac_binary64`
446×	`fma-def_binary64`
282×	`associate-r_binary64`
266×	`fma-neg_binary64`
264×	`associate-l_binary64`

Counts

238 → 263

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	12232
1	798	10659
2	2647	10360
3	4908	10360
4	5023	10360

prune605.0ms (5.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	260	3	263
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	263	17	280

Error

1.2b

Counts

280 → 17

Alt Table

Status	Error	Program
	14.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 -1 (.f64 (.f64 F F) (fma.f64 (PI.f64) (.f64 l 1/3) (fma.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 l 5) 2/945) (fma.f64 1/45 (pow.f64 (.f64 (PI.f64) l) 3) (/.f64 -1 (*.f64 (PI.f64) l))))))))
	11.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))) (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
	40.4b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	38.2b	(-.f64 (exp.f64 (log.f64 (.f64 (PI.f64) l))) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	17.3b	(-.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)))
	32.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	11.2b	(-.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)))) (.f64 (cbrt.f64 F) (cbrt.f64 F))))) (/.f64 (cbrt.f64 F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))))
	26.5b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	2.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (fma.f64 F (+.f64 (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 (.f64 (PI.f64) l) 3) -1/45)) (.f64 -2/945 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)))) (/.f64 F (*.f64 (PI.f64) l)))) F))
	11.0b	(-.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))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (/.f64 1 F)))
	36.6b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (.f64 (/.f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (/.f64 1 F)))
	11.4b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (.f64 (/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 1 F)))
	43.7b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3)) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
	38.4b	(-.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)))
	2.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (log1p.f64 (expm1.f64 (.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945)))))))) (/.f64 1 F)))
	37.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (/.f64 (sqrt.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 (sqrt.f64 F) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 F))))))
	35.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (.f64 (PI.f64) l)))) (*.f64 F F)))

Compiler

Compiled 15755 to 9322 computations (40.8% saved)

regimes2.5s (22%)

Accuracy

Total 0.9b remaining (43%)

Threshold costs 0.9b (43%)

Counts

317 → 1

Compiler

Compiled 56477 to 33753 computations (40.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`distribute-neg-frac_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	59
1	33	59
2	39	59
3	45	59
4	48	59
5	49	59
6	47	59

end1.0ms (0%)

Compiler: Compiled 39 to 24 computations (38.5% saved)

sample2.9s (25.8%)

Algorithm

1×

intervals

Results

1.0s	1010×	body	2048	valid
604.0ms	1807×	body	1024	valid
312.0ms	4109×	body	128	valid
221.0ms	52×	body	4096	valid
170.0ms	716×	body	512	valid
48.0ms	306×	body	256	valid
13.0ms	177×	body	128	invalid
2.0ms	5×	body	8192	exit
1.0ms	3×	body	2048	invalid

Compiler

Compiled 580 to 307 computations (47.1% 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 (8.8%)

sample198.0ms (1.7%)

simplify20.0ms (0.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series118.0ms (1%)

rewrite18.0ms (0.2%)

simplify141.0ms (1.2%)

prune236.0ms (2.1%)

localize9.0ms (0.1%)

series106.0ms (0.9%)

rewrite147.0ms (1.3%)

simplify387.0ms (3.4%)

prune1.1s (9.3%)

localize10.0ms (0.1%)

series125.0ms (1.1%)

rewrite18.0ms (0.2%)

simplify129.0ms (1.1%)

prune353.0ms (3.1%)

localize24.0ms (0.2%)

series907.0ms (8%)

rewrite56.0ms (0.5%)

simplify246.0ms (2.2%)

prune605.0ms (5.3%)

regimes2.5s (22%)

simplify4.0ms (0%)

end1.0ms (0%)

sample2.9s (25.8%)

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