Details

analyze1.1s (10.1%)

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 (33.3%)

Results

1.4s	1130×	body	2048	valid
943.0ms	1820×	body	1024	valid
552.0ms	4212×	body	128	valid
253.0ms	730×	body	512	valid
171.0ms	48×	body	4096	valid
79.0ms	316×	body	256	valid
25.0ms	179×	body	128	invalid
6.0ms	9×	body	2048	invalid
3.0ms	4×	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

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

16.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.4b	(-.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 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	0.2b	(*.f64 (PI.f64) l)
✓	3.4b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	29.3b	(tan.f64 (*.f64 (PI.f64) l))

series102.0ms (0.9%)

Counts

4 → 60

Calls

4 calls:

51.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
36.0ms	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
12.0ms	(tan.f64 (*.f64 (PI.f64) l))
2.0ms	(*.f64 (PI.f64) l)

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`

Counts

4 → 82

Calls

4 calls:

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

simplify104.0ms (1%)

Algorithm

1×	egg-herbie

Rules

782×	`times-frac_binary64`
624×	`fma-def_binary64`
610×	`associate-/l*_binary64`
223×	`fma-neg_binary64`
147×	`cancel-sign-sub-inv_binary64`

Counts

142 → 122

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	3051
1	478	2877
2	1544	2771
3	4922	2768
4	4881	2768

prune232.0ms (2.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	125	18	143
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	127	18	145

Error

12.7b

Counts

145 → 18

Alt Table

Status	Error	Program
	40.9b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
	48.8b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3)) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
	40.9b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	35.7b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	16.8b	(-.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)))
	16.3b	(-.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)))))
	40.9b	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	42.4b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	16.9b	(-.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)))
	16.4b	(-.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)))
	16.4b	(-.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)))
	52.8b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	42.5b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	20.8b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	41.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 l)))) (.f64 F F)))
▶	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))

Compiler

Compiled 3946 to 1217 computations (69.2% 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)
	0.2b	(*.f64 (PI.f64) l)
	29.3b	(tan.f64 (*.f64 (PI.f64) l))

series91.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

52.0ms	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
39.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite15.0ms (0.1%)

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)

simplify137.0ms (1.3%)

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

prune447.0ms (4.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	17	17
Picked	0	1	1
Done	0	0	0
Total	224	18	242

Error

12.7b

Counts

242 → 18

Alt Table

Status	Error	Program
	40.9b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
	48.8b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3)) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
	40.9b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	35.7b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	16.8b	(-.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)))
	16.3b	(-.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)))))
	40.9b	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	42.4b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
▶	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	16.9b	(-.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)))
	16.4b	(-.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)))
	16.4b	(-.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)))
	52.8b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	42.5b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	20.8b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	41.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 l)))) (.f64 F F)))
✓	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))

Compiler

Compiled 5609 to 1620 computations (71.1% 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 (PI.f64) l)
✓	0.4b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	29.3b	(tan.f64 (*.f64 (PI.f64) l))

series52.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

52.0ms

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

rewrite41.0ms (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)))

simplify271.0ms (2.5%)

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

prune652.0ms (6%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	391	0	391
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	391	18	409

Error

12.7b

Counts

409 → 18

Alt Table

Status	Error	Program
	40.9b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
▶	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
	48.8b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3)) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
	40.9b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	35.7b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	16.8b	(-.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)))
	16.3b	(-.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)))))
	40.9b	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	42.4b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
✓	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	16.9b	(-.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)))
	16.4b	(-.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)))
	16.4b	(-.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)))
	52.8b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	42.5b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	20.8b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	41.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 l)))) (.f64 F F)))
✓	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))

Compiler

Compiled 11029 to 3512 computations (68.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	0.4b	(/.f64 1 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))))
✓	3.2b	(/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))
	29.3b	(tan.f64 (*.f64 (PI.f64) l))

series165.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

91.0ms	(/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))
74.0ms	(/.f64 1 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`times-frac_binary64`
28×	`add-exp-log_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64`

Counts

2 → 86

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))))
5.0ms	(/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

722×	`times-frac_binary64`
615×	`associate-l_binary64`
441×	`associate-/l*_binary64`
298×	`associate-/r*_binary64`
270×	`associate-/r/_binary64`

Counts

134 → 129

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	3093
1	319	2818
2	1153	2752
3	4906	2750
4	4945	2750

prune284.0ms (2.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	184	5	189
Fresh	10	5	15
Picked	1	0	1
Done	1	1	2
Total	196	11	207

Error

9.6b

Counts

207 → 11

Alt Table

Status	Error	Program
	40.9b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 1 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))
	42.5b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 1 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
	48.8b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3)) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
	31.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (-.f64 (/.f64 (pow.f64 F 2) (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 (pow.f64 F 2) l))) (+.f64 (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) (pow.f64 F 2)))) (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 l 5) (pow.f64 F 2)))))))))
	40.9b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	35.7b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	19.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (fma.f64 (/.f64 F (PI.f64)) (/.f64 F l) (.f64 (.f64 F F) (-.f64 (.f64 -1/3 (.f64 (PI.f64) l)) (.f64 1/45 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))))))))
	16.8b	(-.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)))
	16.3b	(-.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)))))
	16.9b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 1 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
✓	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))

Compiler

Compiled 4412 to 1515 computations (65.7% saved)

regimes3.0s (28.1%)

Accuracy

Total 0.4b remaining (4.8%)

Threshold costs 0.4b (4.8%)

Counts

260 → 3

Compiler

Compiled 43094 to 25518 computations (40.8% saved)

bsearch81.0ms (0.7%)

Steps

Iters	Range		Point
7	1.9787798404247305e-7	4.024694768638925e-6	1.1615973640422386e-6
7	-1.578735741041322e-39	-3.6010504994007814e-41	-1.5471331197421346e-39

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	136
1	73	136
2	99	136
3	124	136
4	143	136
5	154	136
6	159	136
7	160	136
8	157	136

end194.0ms (1.8%)

Compiler: Compiled 514 to 269 computations (47.7% 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	48	136
1	73	136
2	99	136
3	124	136
4	143	136
5	154	136
6	159	136
7	160	136
8	157	136

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	48	136
1	73	136
2	99	136
3	124	136
4	143	136
5	154	136
6	159	136
7	160	136
8	157	136

Details

analyze1.1s (10.1%)

sample3.6s (33.3%)

simplify23.0ms (0.2%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series102.0ms (0.9%)

rewrite16.0ms (0.1%)

simplify104.0ms (1%)

prune232.0ms (2.1%)

localize7.0ms (0.1%)

series91.0ms (0.8%)

rewrite15.0ms (0.1%)

simplify137.0ms (1.3%)

prune447.0ms (4.1%)

localize9.0ms (0.1%)

series52.0ms (0.5%)

rewrite41.0ms (0.4%)

simplify271.0ms (2.5%)

prune652.0ms (6%)

localize11.0ms (0.1%)

series165.0ms (1.5%)

rewrite17.0ms (0.2%)

simplify114.0ms (1.1%)

prune284.0ms (2.6%)

regimes3.0s (28.1%)

bsearch81.0ms (0.7%)

simplify9.0ms (0.1%)

end194.0ms (1.8%)

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	48	136
1	73	136
2	99	136
3	124	136
4	143	136
5	154	136
6	159	136
7	160	136
8	157	136