Details

analyze2.3s (14%)

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)

sample167.0ms (1%)

Algorithm

1×

intervals

Results

63.0ms	35×	body	2048	valid
40.0ms	57×	body	1024	valid
17.0ms	126×	body	128	valid
16.0ms	2×	body	4096	valid
11.0ms	24×	body	512	valid
3.0ms	12×	body	256	valid
1.0ms	5×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify61.0ms (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

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

17.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	18.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	17.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Compiler

Compiled 88 to 48 computations (45.5% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) l)
✓	4.9b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	30.6b	(tan.f64 (*.f64 (PI.f64) l))

series170.0ms (1.1%)

Counts

3 → 36

Calls

3 calls:

133.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
32.0ms	(tan.f64 (*.f64 (PI.f64) l))
5.0ms	(*.f64 (PI.f64) l)

rewrite23.0ms (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:

9.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
7.0ms	(*.f64 (PI.f64) l)
2.0ms	(tan.f64 (*.f64 (PI.f64) l))

simplify161.0ms (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

prune358.0ms (2.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	76	21	97
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	78	21	99

Error

12.7b

Counts

99 → 21

Alt Table

Status	Error	Program
	37.2b	(-.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)))
	18.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	18.5b	(-.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)))
	38.4b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	38.6b	(-.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)))
	18.5b	(-.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)))
	39.7b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
	18.0b	(-.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)))
	18.1b	(-.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)))
	37.3b	(-.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)))
	22.5b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	13.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	38.5b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	18.0b	(-.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)))))
	18.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))) (.f64 F F)))
	44.1b	(-.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)))
	28.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
▶	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	38.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 l)) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 l)))) (*.f64 F F)))
	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	17.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))

Compiler

Compiled 2698 to 985 computations (63.5% saved)

localize16.0ms (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)
	30.6b	(tan.f64 (*.f64 (PI.f64) l))

series231.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

132.0ms	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
99.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite34.0ms (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:

10.0ms	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
6.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

simplify255.0ms (1.6%)

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

prune880.0ms (5.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	218	6	224
Fresh	7	13	20
Picked	0	1	1
Done	0	0	0
Total	225	20	245

Error

12.7b

Counts

245 → 20

Alt Table

Status	Error	Program
	18.5b	(-.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)))
	38.4b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	38.6b	(-.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)))
	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (*.f64 (cbrt.f64 F) (cbrt.f64 F))) (cbrt.f64 F)))
	18.5b	(-.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)))
	44.1b	(-.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)))
	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l))) F) F))
	18.1b	(-.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)))
	22.5b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
✓	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
	16.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F))
	36.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 l)) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 l)))) F) F))
	35.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) F) F))
	18.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	38.5b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	18.0b	(-.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)))))
	39.7b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
	18.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))) (.f64 F F)))
	28.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))

Compiler

Compiled 5603 to 1654 computations (70.5% saved)

localize19.0ms (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)
✓	0.4b	(/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	30.6b	(tan.f64 (*.f64 (PI.f64) l))

series298.0ms (1.8%)

Counts

2 → 48

Calls

2 calls:

169.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
129.0ms	(/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))

rewrite25.0ms (0.2%)

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:

11.0ms	(/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
5.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))

simplify191.0ms (1.2%)

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

prune333.0ms (2.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	154	3	157
Fresh	12	6	18
Picked	1	0	1
Done	0	1	1
Total	167	10	177

Error

2.0b

Counts

177 → 10

Alt Table

Status	Error	Program
	38.6b	(-.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)))
	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (*.f64 (cbrt.f64 F) (cbrt.f64 F))) (cbrt.f64 F)))
	18.5b	(-.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)))
	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	38.5b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	18.5b	(-.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)))
	44.1b	(-.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)))
▶	2.2b	(-.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))))))))))
✓	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	36.3b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))

Compiler

Compiled 3709 to 1430 computations (61.4% saved)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (PI.f64) 3)
✓	1.0b	(pow.f64 (PI.f64) 5)
✓	1.5b	(.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))))))))
✓	4.5b	(.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)))))

series460.0ms (2.8%)

Counts

4 → 48

Calls

4 calls:

279.0ms	(.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))))))))
180.0ms	(.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)))))
0.0ms	(pow.f64 (PI.f64) 5)
0.0ms	(pow.f64 (PI.f64) 3)

rewrite96.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64`
43×	`*-un-lft-identity_binary64`
42×	`prod-diff_binary64`
41×	`add-cube-cbrt_binary64`
26×	`distribute-lft-in_binary64`

Counts

4 → 142

Calls

4 calls:

21.0ms	(.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))))))))
19.0ms	(.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)))))
3.0ms	(pow.f64 (PI.f64) 3)
3.0ms	(pow.f64 (PI.f64) 5)

simplify470.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-def_binary64`
595×	`fma-neg_binary64`
524×	`times-frac_binary64`
361×	`associate-r_binary64`
356×	`associate-l_binary64`

Counts

190 → 206

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	11505
1	630	8733
2	2556	6956
3	4647	6956
4	4954	6956

prune859.0ms (5.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	203	3	206
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	204	12	216

Error

0.1b

Counts

216 → 12

Alt Table

Status	Error	Program
	38.6b	(-.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)))
	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (*.f64 (cbrt.f64 F) (cbrt.f64 F))) (cbrt.f64 F)))
	18.5b	(-.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)))
	2.3b	(-.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) (log1p.f64 (expm1.f64 (.f64 F (fma.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (.f64 1/45 (pow.f64 (*.f64 (PI.f64) l) 3)))))))))))
	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	38.5b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	18.5b	(-.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)))
	49.2b	(-.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 (.f64 F (fma.f64 -4/893025 (.f64 (pow.f64 (PI.f64) 10) (pow.f64 l 10)) (.f64 1/2025 (pow.f64 (.f64 (PI.f64) l) 6)))) (-.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))))))))))
	44.1b	(-.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)))
	56.1b	(-.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 (.f64 F (fma.f64 8/843908625 (pow.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) 3) (pow.f64 (.f64 1/45 (pow.f64 (.f64 (PI.f64) l) 3)) 3))) (+.f64 (.f64 (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) (-.f64 (.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5))) (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)))) (.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))))))))))))
✓	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	36.3b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))

Compiler

Compiled 17639 to 11020 computations (37.5% saved)

regimes3.2s (20%)

Accuracy

Total 1.1b remaining (68.2%)

Threshold costs 0b (0%)

Counts

196 → 2

Compiler

Compiled 32440 to 19885 computations (38.7% saved)

bsearch16.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	126
1	60	126
2	76	126
3	84	126
4	88	126
5	86	126

end3.0ms (0%)

Compiler: Compiled 81 to 48 computations (40.7% saved)

sample5.5s (33.7%)

Algorithm

1×

intervals

Results

2.0s	1063×	body	2048	valid
1.2s	1860×	body	1024	valid
524.0ms	4032×	body	128	valid
357.0ms	53×	body	4096	valid
298.0ms	711×	body	512	valid
78.0ms	281×	body	256	valid
24.0ms	169×	body	128	invalid
8.0ms	9×	body	2048	invalid
5.0ms	6×	body	8192	exit

Compiler

Compiled 491 to 307 computations (37.5% 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

analyze2.3s (14%)

sample167.0ms (1%)

simplify61.0ms (0.4%)

prune6.0ms (0%)

localize14.0ms (0.1%)

series170.0ms (1.1%)

rewrite23.0ms (0.1%)

simplify161.0ms (1%)

prune358.0ms (2.2%)

localize16.0ms (0.1%)

series231.0ms (1.4%)

rewrite34.0ms (0.2%)

simplify255.0ms (1.6%)

prune880.0ms (5.4%)

localize19.0ms (0.1%)

series298.0ms (1.8%)

rewrite25.0ms (0.2%)

simplify191.0ms (1.2%)

prune333.0ms (2.1%)

localize48.0ms (0.3%)

series460.0ms (2.8%)

rewrite96.0ms (0.6%)

simplify470.0ms (2.9%)

prune859.0ms (5.3%)

regimes3.2s (20%)

bsearch16.0ms (0.1%)

simplify10.0ms (0.1%)

end3.0ms (0%)

sample5.5s (33.7%)

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