Details

analyze1.0s (11.3%)

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)

sample221.0ms (2.5%)

Algorithm

1×

intervals

Results

34.0ms	28×	body	2048	valid
17.0ms	52×	body	1024	valid
10.0ms	137×	body	128	valid
5.0ms	24×	body	512	valid
4.0ms	1×	body	4096	valid
2.0ms	14×	body	256	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify22.0ms (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

13.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	13.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	13.8b	(-.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
✓	0.2b	(*.f64 (PI.f64) l)
✓	3.5b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	28.6b	(tan.f64 (*.f64 (PI.f64) l))

series85.0ms (0.9%)

Counts

3 → 36

Calls

3 calls:

58.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
25.0ms	(tan.f64 (*.f64 (PI.f64) l))
2.0ms	(*.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))

simplify101.0ms (1.1%)

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

prune169.0ms (1.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	81	16	97
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	83	16	99

Error

9.7b

Counts

99 → 16

Alt Table

Status	Error	Program
	38.4b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	10.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	38.4b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	13.6b	(-.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)))))
	13.6b	(-.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)))
	36.5b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
	13.7b	(-.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)))
	10.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	10.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	18.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	38.9b	(-.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)))
	10.2b	(-.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)))
	14.2b	(-.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)))
	13.6b	(-.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)))
	14.2b	(-.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)))
	24.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))

Compiler

Compiled 2518 to 883 computations (64.9% 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)
✓	0.2b	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
	0.2b	(*.f64 (PI.f64) l)
	28.6b	(tan.f64 (*.f64 (PI.f64) l))

series162.0ms (1.8%)

Counts

2 → 48

Calls

2 calls:

118.0ms	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
44.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite19.0ms (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:

9.0ms	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
3.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

simplify141.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Counts

136 → 139

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	2895
1	384	2659
2	1172	2613
3	3483	2601
4	4541	2601
5	4980	2601
6	4928	2601

prune458.0ms (5.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	192	7	199
Fresh	3	12	15
Picked	1	0	1
Done	0	0	0
Total	196	19	215

Error

9.7b

Counts

215 → 19

Alt Table

Status	Error	Program
	10.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (/.f64 1 F))) (.f64 (cbrt.f64 (/.f64 1 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
	38.4b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	10.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
	15.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	10.2b	(-.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)))
	38.4b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	13.6b	(-.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)))))
	10.2b	(-.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)))))
	33.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (*.f64 l l) l)))) F)))
	10.2b	(-.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))))
	24.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	10.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l))) F)))
	13.7b	(-.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)))
▶	10.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	38.9b	(-.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)))
	14.2b	(-.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)))
	13.6b	(-.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)))
	14.2b	(-.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)))
	36.5b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))

Compiler

Compiled 5277 to 2037 computations (61.4% saved)

localize8.0ms (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)
	0.2b	(*.f64 (PI.f64) l)
	28.6b	(tan.f64 (*.f64 (PI.f64) l))

series93.0ms (1%)

Counts

1 → 24

Calls

1 calls:

93.0ms

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

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
43×	`add-cube-cbrt_binary64`
13×	`associate-/l*_binary64`

Counts

1 → 72

Calls

1 calls:

5.0ms

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

simplify191.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

772×	`fma-def_binary64`
565×	`unswap-sqr_binary64`
553×	`times-frac_binary64`
391×	`associate-/l/_binary64`
370×	`associate-/l*_binary64`

Counts

96 → 115

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	171	2588
1	385	2445
2	883	2373
3	3158	2349
4	4113	2344
5	5255	2344

prune550.0ms (6.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	211	4	215
Fresh	4	14	18
Picked	0	1	1
Done	0	0	0
Total	215	19	234

Error

9.7b

Counts

234 → 19

Alt Table

Status	Error	Program
	10.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (/.f64 1 F))) (.f64 (cbrt.f64 (/.f64 1 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
	38.4b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	10.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
	15.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	10.2b	(-.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)))
	10.2b	(-.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 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	10.1b	(-.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))
	14.2b	(-.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)))
	13.7b	(-.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)))
✓	10.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	10.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (*.f64 (cbrt.f64 F) (cbrt.f64 F)))))
	13.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 3)) F))
	38.9b	(-.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)))
	14.2b	(-.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)))
	13.6b	(-.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)))
	33.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (*.f64 l l) l)))) F)))
	36.5b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
	24.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))

Compiler

Compiled 5422 to 1641 computations (69.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 F) (/.f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	0.2b	(*.f64 (PI.f64) l)
✓	0.9b	(/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
	28.6b	(tan.f64 (*.f64 (PI.f64) l))

series117.0ms (1.3%)

Counts

2 → 48

Calls

2 calls:

71.0ms	(.f64 (/.f64 1 F) (/.f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
46.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))

rewrite67.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

184×	`times-frac_binary64`
135×	`add-sqr-sqrt_binary64`
99×	`*-un-lft-identity_binary64`
96×	`add-exp-log_binary64`
88×	`add-cube-cbrt_binary64`

Counts

2 → 208

Calls

2 calls:

36.0ms	(.f64 (/.f64 1 F) (/.f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
6.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))

simplify236.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

776×	`times-frac_binary64`
725×	`fma-def_binary64`
494×	`associate-/l*_binary64`
380×	`associate-/r*_binary64`
320×	`associate-/r/_binary64`

Counts

256 → 320

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	5719
1	469	4974
2	1324	4922
3	3692	4898
4	4827	4898
5	4976	4898
6	4934	4898

prune829.0ms (9.2%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	378	2	380
Fresh	2	15	17
Picked	0	1	1
Done	0	1	1
Total	380	19	399

Error

9.7b

Counts

399 → 19

Alt Table

Status	Error	Program
	10.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 1 (/.f64 F (tan.f64 (.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (*.f64 l (cbrt.f64 (PI.f64)))))))))
	10.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (*.f64 (cbrt.f64 F) (cbrt.f64 F)))))
	10.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (/.f64 1 F))) (.f64 (cbrt.f64 (/.f64 1 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
	38.4b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	10.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
	10.2b	(-.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 1 (/.f64 F (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))))
	14.2b	(-.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)))
	10.2b	(-.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 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	10.1b	(-.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))
	14.2b	(-.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)))
	13.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 3)) F))
	38.9b	(-.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)))
	15.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
	13.6b	(-.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)))
	33.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (*.f64 l l) l)))) F)))
	36.5b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
	24.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
✓	10.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))

Compiler

Compiled 10017 to 3954 computations (60.5% saved)

regimes1.5s (17%)

Accuracy

Total 0.3b remaining (2.3%)

Threshold costs 0.3b (2.3%)

Counts

168 → 1

Compiler

Compiled 25212 to 14318 computations (43.2% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	20	23
2	31	23
3	39	23
4	45	23
5	48	23
6	49	23
7	47	23

end1.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

sample2.9s (32.5%)

Algorithm

1×

intervals

Results

1.0s	996×	body	2048	valid
639.0ms	1827×	body	1024	valid
312.0ms	4093×	body	128	valid
178.0ms	735×	body	512	valid
154.0ms	46×	body	4096	valid
51.0ms	303×	body	256	valid
14.0ms	173×	body	128	invalid
3.0ms	6×	body	2048	invalid
0.0ms	1×	body	8192	exit

Compiler

Compiled 463 to 257 computations (44.5% 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

analyze1.0s (11.3%)

sample221.0ms (2.5%)

simplify22.0ms (0.2%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series85.0ms (0.9%)

rewrite10.0ms (0.1%)

simplify101.0ms (1.1%)

prune169.0ms (1.9%)

localize9.0ms (0.1%)

series162.0ms (1.8%)

rewrite19.0ms (0.2%)

simplify141.0ms (1.6%)

prune458.0ms (5.1%)

localize8.0ms (0.1%)

series93.0ms (1%)

rewrite12.0ms (0.1%)

simplify191.0ms (2.1%)

prune550.0ms (6.1%)

localize10.0ms (0.1%)

series117.0ms (1.3%)

rewrite67.0ms (0.7%)

simplify236.0ms (2.6%)

prune829.0ms (9.2%)

regimes1.5s (17%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample2.9s (32.5%)

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