Details

analyze1.2s (15.9%)

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 17 to 11 computations (35.3% saved)

sample91.0ms (1.2%)

Algorithm

1×

intervals

Results

35.0ms	37×	body	2048	valid
20.0ms	64×	body	1024	valid
11.0ms	3×	body	4096	valid
10.0ms	129×	body	128	valid
4.0ms	16×	body	512	valid
1.0ms	7×	body	256	valid
1.0ms	7×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify28.0ms (0.4%)

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

prune4.0ms (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

17.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	17.4b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 PI.f64 l))))
▶	17.1b	(-.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
	0.3b	(*.f64 PI.f64 l)
✓	0.3b	(*.f64 PI.f64 l)
✓	3.5b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
✓	29.3b	(tan.f64 (*.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 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
3.0ms	(*.f64 PI.f64 l)
1.0ms	(tan.f64 (*.f64 PI.f64 l))

series135.0ms (1.7%)

Counts

3 → 36

Calls

3 calls:

108.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
19.0ms	(tan.f64 (*.f64 PI.f64 l))
9.0ms	(*.f64 PI.f64 l)

simplify117.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

550×	`unswap-sqr_binary64`
481×	`times-frac_binary64`
434×	`associate-/l*_binary64`
313×	`associate-l_binary64`
273×	`fma-def_binary64`

Counts

90 → 138

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1607
1	276	1469
2	834	1465
3	3313	1465
4	3908	1465
5	4915	1465
6	4925	1465

prune186.0ms (2.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	145	19	164
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	146	20	166

Error

13.6b

Counts

166 → 20

Alt Table

Status	Error	Program
	17.2b	(-.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)))
	54.2b	(-.f64 (log.f64 (exp.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	23.8b	(-.f64 (.f64 PI.f64 l) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)) 3)))
	17.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (sin.f64 (.f64 PI.f64 l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 PI.f64 l)))))
▶	13.9b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F))
	17.4b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 PI.f64 l))))
	17.8b	(-.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)))
	13.9b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
	44.4b	(-.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	41.7b	(-.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)))
	45.0b	(-.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)))
	14.0b	(-.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)))
	17.8b	(-.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)))
	44.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	44.3b	(-.f64 (.f64 PI.f64 l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 PI.f64 l))) (log.f64 (*.f64 F F)))))
	17.3b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) (*.f64 F F)))
	17.2b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))) (.f64 F F)))
	17.3b	(-.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)))
	13.9b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))
	44.4b	(-.f64 (.f64 (.f64 PI.f64 (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F)))

Compiler

Compiled 2665 to 976 computations (63.4% saved)

localize7.0ms (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 PI.f64 l)
	29.3b	(tan.f64 (*.f64 PI.f64 l))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 30

Calls

1 calls:

3.0ms

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

series92.0ms (1.2%)

Counts

1 → 24

Calls

1 calls:

92.0ms

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

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

781×	`times-frac_binary64`
614×	`associate-/l*_binary64`
463×	`associate-/r*_binary64`
426×	`unswap-sqr_binary64`
385×	`associate-/r/_binary64`

Counts

54 → 104

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	98	1063
1	191	1017
2	458	1017
3	1241	1017
4	4245	1014
5	4830	1014
6	4939	1014

prune210.0ms (2.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	283	7	290
Fresh	9	10	19
Picked	1	0	1
Done	0	0	0
Total	293	17	310

Error

13.6b

Counts

310 → 17

Alt Table

Status	Error	Program
	17.3b	(-.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)))
	13.9b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (*.f64 (sqrt.f64 PI.f64) l))) F) F))
	14.0b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 F) (cbrt.f64 F))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (cbrt.f64 F))) F))
	17.8b	(-.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)))
	42.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l)))) F) F))
	45.0b	(-.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)))
	14.0b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (.f64 PI.f64 l)) (cbrt.f64 (.f64 PI.f64 l))) (cbrt.f64 (.f64 PI.f64 l)))) F) F))
	17.8b	(-.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)))
	44.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	54.2b	(-.f64 (log.f64 (exp.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	44.3b	(-.f64 (.f64 PI.f64 l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 PI.f64 l))) (log.f64 (*.f64 F F)))))
	29.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (/.f64 l F) (+.f64 PI.f64 (.f64 1/3 (.f64 (pow.f64 PI.f64 3) (*.f64 l l))))) F))
	17.3b	(-.f64 (.f64 PI.f64 l) (/.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))) F))
▶	13.9b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))
	14.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 (cbrt.f64 PI.f64) l))) F) F))
	44.4b	(-.f64 (.f64 (.f64 PI.f64 (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F)))
	44.4b	(-.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))

Compiler

Compiled 3041 to 1104 computations (63.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 PI.f64 l)
	0.3b	(*.f64 PI.f64 l)
✓	0.5b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
	29.3b	(tan.f64 (*.f64 PI.f64 l))

rewrite32.0ms (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:

11.0ms

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

series100.0ms (1.3%)

Counts

1 → 24

Calls

1 calls:

100.0ms

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

simplify496.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

788×	`fma-neg_binary64`
357×	`*-commutative_binary64`
267×	`associate-/r/_binary64`
242×	`unswap-sqr_binary64`
215×	`fma-def_binary64`

Counts

230 → 453

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	272	7351
1	549	6399
2	1729	6056
3	2063	6050
4	2632	6050
5	3861	5904
6	4357	5892
7	4954	5820
8	4900	5820

prune606.0ms (7.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1133	4	1137
Fresh	1	15	16
Picked	0	1	1
Done	0	0	0
Total	1134	20	1154

Error

13.6b

Counts

1154 → 20

Alt Table

Status	Error	Program
	14.8b	(-.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 1 (/.f64 (cbrt.f64 F) (/.f64 (tan.f64 (*.f64 PI.f64 l)) (cbrt.f64 F))))))
	44.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	17.3b	(-.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)))
▶	13.9b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (*.f64 (sqrt.f64 PI.f64) l))) F) F))
	14.0b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 F) (cbrt.f64 F))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (cbrt.f64 F))) F))
	42.1b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l)))) F))))
✓	13.9b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))
	37.6b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3))) F))))
	14.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 (cbrt.f64 PI.f64) l))) F) F))
	45.0b	(-.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)))
	14.0b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (.f64 PI.f64 l)) (cbrt.f64 (.f64 PI.f64 l))) (cbrt.f64 (.f64 PI.f64 l)))) F) F))
	17.8b	(-.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)))
	48.9b	(-.f64 (.f64 PI.f64 l) (exp.f64 (neg.f64 (-.f64 (log.f64 F) (log.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))))
	54.2b	(-.f64 (log.f64 (exp.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	44.3b	(-.f64 (.f64 PI.f64 l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 PI.f64 l))) (log.f64 (*.f64 F F)))))
	29.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (/.f64 l F) (+.f64 PI.f64 (.f64 1/3 (.f64 (pow.f64 PI.f64 3) (*.f64 l l))))) F))
	17.3b	(-.f64 (.f64 PI.f64 l) (/.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))) F))
	44.4b	(-.f64 (.f64 (.f64 PI.f64 (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F)))
	17.8b	(-.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)))
	44.4b	(-.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))

Compiler

Compiled 10150 to 3292 computations (67.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sqrt.f64 PI.f64) l)
	1.0b	(sqrt.f64 PI.f64)
✓	1.0b	(sqrt.f64 PI.f64)
✓	29.6b	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (sqrt.f64 PI.f64) l)))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
7×	`sqrt-prod_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`

Counts

3 → 49

Calls

3 calls:

4.0ms	(*.f64 (sqrt.f64 PI.f64) l)
2.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (sqrt.f64 PI.f64) l)))
1.0ms	(sqrt.f64 PI.f64)

series32.0ms (0.4%)

Counts

3 → 12

Calls

3 calls:

16.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (sqrt.f64 PI.f64) l)))
16.0ms	(*.f64 (sqrt.f64 PI.f64) l)
0.0ms	(sqrt.f64 PI.f64)

simplify113.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

945×	`fma-def_binary64`
510×	`unswap-sqr_binary64`
387×	`*-commutative_binary64`
326×	`associate-*l/_binary64`
308×	`associate-*r/_binary64`

Counts

61 → 97

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	702
1	163	672
2	422	672
3	1139	672
4	1997	672
5	2940	672
6	3079	672
7	4519	672
8	4897	672
9	4905	672

prune252.0ms (3.2%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	110	6	116
Fresh	3	15	18
Picked	1	0	1
Done	0	1	1
Total	114	22	136

Error

13.5b

Counts

136 → 22

Alt Table

Status	Error	Program
	23.8b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 PI.f64) l))))) F) F))
	17.8b	(-.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)))
	14.8b	(-.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 1 (/.f64 (cbrt.f64 F) (/.f64 (tan.f64 (*.f64 PI.f64 l)) (cbrt.f64 F))))))
	44.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	29.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (/.f64 l F) (+.f64 PI.f64 (.f64 1/3 (.f64 (pow.f64 PI.f64 3) (*.f64 l l))))) F))
	13.8b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 PI.f64)) (sqrt.f64 (sqrt.f64 PI.f64))) (.f64 (sqrt.f64 PI.f64) l))) F) F))
	13.8b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (sqrt.f64 (sqrt.f64 PI.f64)) (.f64 (sqrt.f64 (sqrt.f64 PI.f64)) l)))) F) F))
	17.3b	(-.f64 (.f64 PI.f64 l) (/.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))) F))
	14.2b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 PI.f64)) l)))) F) F))
✓	13.9b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))
	37.6b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3))) F))))
	14.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 (cbrt.f64 PI.f64) l))) F) F))
	14.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 PI.f64) l)) (cbrt.f64 (.f64 (sqrt.f64 PI.f64) l))) (cbrt.f64 (*.f64 (sqrt.f64 PI.f64) l))))) F) F))
	17.8b	(-.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)))
	45.0b	(-.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)))
	14.0b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (.f64 PI.f64 l)) (cbrt.f64 (.f64 PI.f64 l))) (cbrt.f64 (.f64 PI.f64 l)))) F) F))
	14.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (sqrt.f64 PI.f64) l)))) (cbrt.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (sqrt.f64 PI.f64) l))))) (cbrt.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (*.f64 (sqrt.f64 PI.f64) l))))) F) F))
	48.9b	(-.f64 (.f64 PI.f64 l) (exp.f64 (neg.f64 (-.f64 (log.f64 F) (log.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))))
	54.2b	(-.f64 (log.f64 (exp.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	14.0b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 F) (cbrt.f64 F))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (cbrt.f64 F))) F))
	44.4b	(-.f64 (.f64 (.f64 PI.f64 (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F)))
	44.4b	(-.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))

Compiler

Compiled 2406 to 978 computations (59.4% saved)

regimes1.0s (13.3%)

Accuracy

Total 0.3b remaining (2.4%)

Threshold costs 0.3b (2.4%)

Compiler

Compiled 21400 to 12453 computations (41.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	20	38
2	27	38
3	33	38
4	38	38
5	41	38
6	42	38
7	42	38

end1.0ms (0%)

Compiler: Compiled 23 to 13 computations (43.5% saved)

sample2.9s (37.1%)

Algorithm

1×

intervals

Results

1.1s	1003×	body	2048	valid
616.0ms	1823×	body	1024	valid
278.0ms	4097×	body	128	valid
212.0ms	62×	body	4096	valid
155.0ms	733×	body	512	valid
39.0ms	282×	body	256	valid
12.0ms	168×	body	128	invalid
2.0ms	5×	body	2048	invalid
0.0ms	1×	body	8192	exit

Compiler

Compiled 540 to 300 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

analyze1.2s (15.9%)

sample91.0ms (1.2%)

simplify28.0ms (0.4%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite11.0ms (0.1%)

series135.0ms (1.7%)

simplify117.0ms (1.5%)

prune186.0ms (2.4%)

localize7.0ms (0.1%)

rewrite4.0ms (0.1%)

series92.0ms (1.2%)

simplify93.0ms (1.2%)

prune210.0ms (2.7%)

localize9.0ms (0.1%)

rewrite32.0ms (0.4%)

series100.0ms (1.3%)

simplify496.0ms (6.3%)

prune606.0ms (7.7%)

localize10.0ms (0.1%)

rewrite9.0ms (0.1%)

series32.0ms (0.4%)

simplify113.0ms (1.4%)

prune252.0ms (3.2%)

regimes1.0s (13.3%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample2.9s (37.1%)

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