Details

analyze1.0s (10.9%)

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)

sample3.5s (37.5%)

Results

1.2s	1082×	body	2048	valid
858.0ms	1846×	body	1024	valid
663.0ms	4207×	body	128	valid
259.0ms	770×	body	512	valid
238.0ms	63×	body	4096	valid
69.0ms	288×	body	256	valid
26.0ms	194×	body	128	invalid
5.0ms	7×	body	2048	invalid
1.0ms	2×	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

prune7.0ms (0.1%)

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

16.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	16.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.7b	(-.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)
✓	4.6b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	30.0b	(tan.f64 (*.f64 (PI.f64) l))

series70.0ms (0.7%)

Counts

3 → 36

Calls

3 calls:

54.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
12.0ms	(tan.f64 (*.f64 (PI.f64) l))
4.0ms	(*.f64 (PI.f64) l)

rewrite10.0ms (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))

simplify93.0ms (1%)

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 (1.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	81	16	97
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	82	17	99

Error

11.4b

Counts

99 → 17

Alt Table

Status	Error	Program
	41.4b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	42.2b	(-.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)))
▶	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	41.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))) (.f64 F F)))
	17.1b	(-.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)))
	39.2b	(-.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)))
	17.0b	(-.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)))
	16.6b	(-.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)))
	16.5b	(-.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)))
	16.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	16.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))) (.f64 F F)))
	35.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	16.6b	(-.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))))))
	16.6b	(-.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)))
	41.5b	(-.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 l)) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	41.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (log.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	21.7b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))

Compiler

Compiled 2532 to 905 computations (64.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.3b	(*.f64 (PI.f64) l)
	30.0b	(tan.f64 (*.f64 (PI.f64) l))

series99.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

60.0ms	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
38.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
52×	`add-cube-cbrt_binary64`
16×	`associate-/l*_binary64`

Counts

2 → 102

Calls

2 calls:

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

simplify132.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

699×	`times-frac_binary64`
602×	`unswap-sqr_binary64`
440×	`associate-/l/_binary64`
422×	`associate-/l*_binary64`
359×	`associate-/r*_binary64`

Counts

150 → 164

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	191	3604
1	430	3466
2	986	3390
3	3679	3366
4	4197	3361
5	5141	3361

prune451.0ms (4.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	217	7	224
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	221	20	241

Error

11.4b

Counts

241 → 20

Alt Table

Status	Error	Program
	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 5)) (cbrt.f64 F)))
	41.5b	(-.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 l)) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	37.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	41.4b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	34.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) F) F))
	17.1b	(-.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)))
	39.2b	(-.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)))
	33.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 F (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	17.0b	(-.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)))
	16.6b	(-.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)))
	16.5b	(-.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)))
	16.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
	12.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 F (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) F))
	16.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))) (.f64 F F)))
	35.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	16.6b	(-.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)))
	41.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (log.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	12.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))
	21.7b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))

Compiler

Compiled 5621 to 1658 computations (70.5% saved)

localize8.0ms (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 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	0.3b	(*.f64 (PI.f64) l)
	30.0b	(tan.f64 (*.f64 (PI.f64) l))

series120.0ms (1.3%)

Counts

2 → 48

Calls

2 calls:

66.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
54.0ms	(/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
12×	`add-sqr-sqrt_binary64`

Counts

2 → 65

Calls

2 calls:

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

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

489×	`associate-l_binary64`
448×	`associate-r_binary64`
389×	`unswap-sqr_binary64`
386×	`associate-/l*_binary64`
386×	`times-frac_binary64`

Counts

113 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	2341
1	331	2161
2	1043	2083
3	4353	2083
4	5263	2083

prune203.0ms (2.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	152	5	157
Fresh	8	11	19
Picked	1	0	1
Done	0	0	0
Total	161	16	177

Error

2.1b

Counts

177 → 16

Alt Table

Status	Error	Program
	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 5)) (cbrt.f64 F)))
	41.5b	(-.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 l)) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	34.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) F) F))
	17.1b	(-.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)))
	39.2b	(-.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)))
	11.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 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))))))))
	33.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 F (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	17.0b	(-.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)))
	16.6b	(-.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)))
	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l))))))
	38.7b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))
	3.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (-.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 (PI.f64) (.f64 (.f64 l F) 1/3) (.f64 F (+.f64 (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5))))))))))
▶	3.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 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)))))))))
	37.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	16.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	35.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))

Compiler

Compiled 4045 to 1620 computations (60% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (PI.f64) 5)
✓	1.7b	(.f64 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)))))))
✓	2.7b	(*.f64 (pow.f64 l 5) F)
✓	4.9b	(*.f64 (pow.f64 l 3) F)

series173.0ms (1.9%)

Counts

4 → 48

Calls

4 calls:

146.0ms	(.f64 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)))))))
16.0ms	(*.f64 (pow.f64 l 5) F)
11.0ms	(*.f64 (pow.f64 l 3) F)
0.0ms	(pow.f64 (PI.f64) 5)

rewrite58.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary64`
45×	`*-un-lft-identity_binary64`
43×	`add-cube-cbrt_binary64`
42×	`prod-diff_binary64`
25×	`distribute-lft-in_binary64`

Counts

4 → 155

Calls

4 calls:

22.0ms	(.f64 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 5) F)
4.0ms	(*.f64 (pow.f64 l 3) F)
1.0ms	(pow.f64 (PI.f64) 5)

simplify200.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

664×	`times-frac_binary64`
462×	`associate-l_binary64`
455×	`associate-r_binary64`
341×	`fma-neg_binary64`
208×	`*-commutative_binary64`

Counts

203 → 226

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	11271
1	733	8589
2	3243	8543
3	5041	8543

prune683.0ms (7.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	222	4	226
Fresh	2	13	15
Picked	1	0	1
Done	0	0	0
Total	225	17	242

Error

1.6b

Counts

242 → 17

Alt Table

Status	Error	Program
	3.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 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)))))))))
	38.7b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))
	41.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 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) (exp.f64 (+.f64 (log.f64 (pow.f64 l 5)) (log.f64 F))))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F)))))))))
	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 5)) (cbrt.f64 F)))
	41.5b	(-.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 l)) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	34.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) F) F))
	17.1b	(-.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)))
	39.2b	(-.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)))
	11.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 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))))))))
	33.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 F (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	17.0b	(-.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)))
	16.6b	(-.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)))
	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l))))))
	2.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 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)))))))))
	12.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 F (-.f64 (/.f64 F (.f64 l (PI.f64))) (fma.f64 1/3 (.f64 F (.f64 l (PI.f64))) (fma.f64 1/45 (.f64 F (pow.f64 (.f64 l (PI.f64)) 3)) (.f64 2/945 (.f64 F (.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)))))))) 3))))
	37.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	35.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))

Compiler

Compiled 20352 to 12206 computations (40% saved)

regimes1.9s (20.4%)

Accuracy

Total 0.7b remaining (32.3%)

Threshold costs 0.7b (32.3%)

Counts

210 → 1

Compiler

Compiled 31826 to 19079 computations (40.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

29×	`*-commutative_binary64`
22×	`+-commutative_binary64`
20×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	76
1	52	76
2	65	76
3	86	76
4	120	76
5	154	76
6	182	76
7	200	76
8	208	76
9	209	76
10	204	76

end296.0ms (3.2%)

Compiler: Compiled 579 to 351 computations (39.4% 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	33	76
1	52	76
2	65	76
3	86	76
4	120	76
5	154	76
6	182	76
7	200	76
8	208	76
9	209	76
10	204	76

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	33	76
1	52	76
2	65	76
3	86	76
4	120	76
5	154	76
6	182	76
7	200	76
8	208	76
9	209	76
10	204	76

Details

analyze1.0s (10.9%)

sample3.5s (37.5%)

simplify23.0ms (0.2%)

prune7.0ms (0.1%)

localize7.0ms (0.1%)

series70.0ms (0.7%)

rewrite10.0ms (0.1%)

simplify93.0ms (1%)

prune125.0ms (1.3%)

localize7.0ms (0.1%)

series99.0ms (1.1%)

rewrite16.0ms (0.2%)

simplify132.0ms (1.4%)

prune451.0ms (4.8%)

localize8.0ms (0.1%)

series120.0ms (1.3%)

rewrite12.0ms (0.1%)

simplify83.0ms (0.9%)

prune203.0ms (2.2%)

localize25.0ms (0.3%)

series173.0ms (1.9%)

rewrite58.0ms (0.6%)

simplify200.0ms (2.1%)

prune683.0ms (7.3%)

regimes1.9s (20.4%)

simplify7.0ms (0.1%)

end296.0ms (3.2%)

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

Iter	Nodes	Cost
0	33	76
1	52	76
2	65	76
3	86	76
4	120	76
5	154	76
6	182	76
7	200	76
8	208	76
9	209	76
10	204	76