Details

analyze1.1s (9.3%)

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)

sample3.6s (29.4%)

Results

1.3s	1054×	body	2048	valid
1.0s	1880×	body	1024	valid
554.0ms	4242×	body	128	valid
256.0ms	728×	body	512	valid
168.0ms	46×	body	4096	valid
75.0ms	306×	body	256	valid
26.0ms	192×	body	128	invalid
8.0ms	11×	body	2048	invalid
2.0ms	3×	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

prune6.0ms (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

18.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	18.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	18.6b	(-.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
✓	0.3b	(*.f64 (PI.f64) l)
✓	5.1b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	30.5b	(tan.f64 (*.f64 (PI.f64) l))

series77.0ms (0.6%)

Counts

3 → 36

Calls

3 calls:

62.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
13.0ms	(tan.f64 (*.f64 (PI.f64) l))
2.0ms	(*.f64 (PI.f64) l)

rewrite13.0ms (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 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
3.0ms	(*.f64 (PI.f64) l)
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

prune125.0ms (1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	77	20	97
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	79	20	99

Error

12.8b

Counts

99 → 20

Alt Table

Status	Error	Program
	42.2b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	42.2b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	13.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	42.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))) (.f64 F F)))
	39.3b	(-.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)))
	18.4b	(-.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)))
	42.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 l)))) (.f64 F F)))
	18.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))) (.f64 F F)))
	42.2b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
	18.4b	(-.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)))
	40.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	38.0b	(-.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)))
	18.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	13.3b	(-.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)))
	18.8b	(-.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)))
	18.8b	(-.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)))
	18.4b	(-.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)))
	24.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	18.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (.f64 F F) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))))
	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))

Compiler

Compiled 2656 to 969 computations (63.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.3b	(*.f64 (PI.f64) l)
	30.5b	(tan.f64 (*.f64 (PI.f64) l))

series157.0ms (1.3%)

Counts

2 → 48

Calls

2 calls:

116.0ms	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
40.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
34×	`times-frac_binary64`
26×	`*-un-lft-identity_binary64`
26×	`add-exp-log_binary64`
24×	`add-cube-cbrt_binary64`

Counts

2 → 88

Calls

2 calls:

8.0ms	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
3.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

simplify139.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

708×	`times-frac_binary64`
688×	`fma-def_binary64`
564×	`associate-/l*_binary64`
330×	`associate-/r*_binary64`
282×	`associate-*l/_binary64`

Counts

136 → 141

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	2835
1	384	2617
2	1172	2613
3	3483	2601
4	4541	2601
5	4980	2601
6	4928	2601

prune482.0ms (4%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	190	11	201
Fresh	7	12	19
Picked	0	1	1
Done	0	0	0
Total	197	24	221

Error

12.7b

Counts

221 → 24

Alt Table

Status	Error	Program
	42.2b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	42.2b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.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))) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F))))
✓	13.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	39.3b	(-.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)))
	31.1b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	18.4b	(-.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)))
	42.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 l)))) (.f64 F F)))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (.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)))))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l)))) F)))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (cbrt.f64 (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))) (cbrt.f64 (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	18.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (.f64 F F) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))))
	23.3b	(-.f64 (.f64 (PI.f64) l) (cbrt.f64 (.f64 (.f64 (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (*.f64 l (cbrt.f64 (PI.f64))))) F)))
▶	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	13.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 l (sqrt.f64 (PI.f64))))) F)))
	38.0b	(-.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)))
	18.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	18.8b	(-.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)))
	18.8b	(-.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)))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 (cbrt.f64 F) (cbrt.f64 F))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (cbrt.f64 F))))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 (cbrt.f64 F) (cbrt.f64 F))) (.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
	37.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	40.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Compiler

Compiled 5535 to 2160 computations (61% saved)

localize10.0ms (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)))
	30.5b	(tan.f64 (*.f64 (PI.f64) l))

series60.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

60.0ms

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

rewrite43.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

396×	`times-frac_binary64`
186×	`*-un-lft-identity_binary64`
186×	`add-sqr-sqrt_binary64`
186×	`add-cube-cbrt_binary64`
44×	`associate-/r*_binary64`

Counts

1 → 206

Calls

1 calls:

10.0ms

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

simplify275.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

788×	`fma-neg_binary64`
352×	`*-commutative_binary64`
286×	`unsub-neg_binary64`
265×	`associate-/r/_binary64`
242×	`unswap-sqr_binary64`

Counts

230 → 291

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	258	7351
1	535	6395
2	1683	6056
3	2010	6050
4	2596	6050
5	3825	5904
6	4347	5892
7	4919	5892

prune881.0ms (7.2%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	387	4	391
Fresh	3	19	22
Picked	0	1	1
Done	1	0	1
Total	391	24	415

Error

12.7b

Counts

415 → 24

Alt Table

Status	Error	Program
	42.2b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	42.2b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.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))) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F))))
	39.3b	(-.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)))
	31.1b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	18.4b	(-.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)))
	42.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 l)))) (.f64 F F)))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (.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)))))
▶	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 (.f64 (cbrt.f64 F) (cbrt.f64 F)) (/.f64 1 (.f64 (cbrt.f64 F) (cbrt.f64 F))))) (/.f64 (cbrt.f64 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 F)))))
	18.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (.f64 F F) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))))
	23.3b	(-.f64 (.f64 (PI.f64) l) (cbrt.f64 (.f64 (.f64 (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (*.f64 l (cbrt.f64 (PI.f64))))) F)))
✓	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	13.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 l (sqrt.f64 (PI.f64))))) F)))
	38.0b	(-.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)))
	18.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F))))
	13.5b	(-.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)))))
	18.8b	(-.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)))
	18.8b	(-.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)))
	37.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	40.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l)))) F)))

Compiler

Compiled 11371 to 3712 computations (67.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 F) (/.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
✓	0.2b	(/.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
	0.3b	(*.f64 (PI.f64) l)
	30.5b	(tan.f64 (*.f64 (PI.f64) l))

series126.0ms (1%)

Counts

2 → 48

Calls

2 calls:

68.0ms	(/.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
57.0ms	(/.f64 (/.f64 1 F) (/.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))

rewrite176.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

1976×	`times-frac_binary64`
849×	`*-un-lft-identity_binary64`
849×	`add-sqr-sqrt_binary64`
849×	`add-cube-cbrt_binary64`
107×	`div-inv_binary64`

Counts

2 → 755

Calls

2 calls:

20.0ms	(/.f64 (/.f64 1 F) (/.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
4.0ms	(/.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))

simplify850.0ms (7%)

Algorithm

1×	egg-herbie

Rules

572×	`fma-def_binary64`
341×	`cancel-sign-sub-inv_binary64`
307×	`fma-neg_binary64`
279×	`associate-/l/_binary64`
277×	`associate-/r/_binary64`

Counts

803 → 847

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	345	28091
1	850	25886
2	2906	24883
3	3462	23188
4	4798	23188
5	4944	23188

prune1.3s (10.6%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	905	2	907
Fresh	10	12	22
Picked	0	1	1
Done	0	1	1
Total	915	16	931

Error

2.1b

Counts

931 → 16

Alt Table

Status	Error	Program
	42.2b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	42.2b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.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))) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F))))
	14.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 F) (cbrt.f64 F))) (/.f64 1 (/.f64 1 (.f64 (cbrt.f64 F) (cbrt.f64 F))))) (/.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 F))))))
✓	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	18.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F))))
	39.3b	(-.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)))
	13.5b	(-.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)))))
	18.8b	(-.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)))
	13.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (.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)))))
	18.8b	(-.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)))
	37.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	40.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	2.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 1/3 (.f64 (PI.f64) l) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 F (pow.f64 l 5))))))))

Compiler

Compiled 30059 to 13019 computations (56.7% saved)

regimes2.3s (19.2%)

Accuracy

Total 0.5b remaining (18.5%)

Threshold costs 0.5b (18.5%)

Counts

281 → 1

Compiler

Compiled 52697 to 31973 computations (39.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	65
1	39	65
2	48	65
3	56	65
4	60	65
5	61	65
6	59	65

end247.0ms (2%)

Compiler: Compiled 489 to 272 computations (44.4% 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

analyze1.1s (9.3%)

sample3.6s (29.4%)

simplify23.0ms (0.2%)

prune6.0ms (0%)

localize7.0ms (0.1%)

series77.0ms (0.6%)

rewrite13.0ms (0.1%)

simplify97.0ms (0.8%)

prune125.0ms (1%)

localize9.0ms (0.1%)

series157.0ms (1.3%)

rewrite18.0ms (0.2%)

simplify139.0ms (1.1%)

prune482.0ms (4%)

localize10.0ms (0.1%)

series60.0ms (0.5%)

rewrite43.0ms (0.4%)

simplify275.0ms (2.3%)

prune881.0ms (7.2%)

localize9.0ms (0.1%)

series126.0ms (1%)

rewrite176.0ms (1.4%)

simplify850.0ms (7%)

prune1.3s (10.6%)

regimes2.3s (19.2%)

simplify4.0ms (0%)

end247.0ms (2%)

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