Details

analyze969.0ms (12.3%)

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)

sample219.0ms (2.8%)

Algorithm

1×

intervals

Results

31.0ms	35×	body	2048	valid
16.0ms	137×	body	128	valid
15.0ms	51×	body	1024	valid
5.0ms	1×	body	4096	valid
4.0ms	22×	body	512	valid
1.0ms	10×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify22.0ms (0.3%)

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

16.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	16.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	16.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

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)))
✓	0.3b	(*.f64 (PI.f64) l)
✓	4.2b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	28.9b	(tan.f64 (*.f64 (PI.f64) l))

series157.0ms (2%)

Counts

4 → 60

Calls

4 calls:

98.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
42.0ms	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
14.0ms	(tan.f64 (*.f64 (PI.f64) l))
2.0ms	(*.f64 (PI.f64) l)

rewrite16.0ms (0.2%)

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))

simplify106.0ms (1.3%)

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

prune256.0ms (3.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	123	20	143
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	125	20	145

Error

11.9b

Counts

145 → 20

Alt Table

Status	Error	Program
	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)))
	12.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.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)))
	54.0b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.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)))
	12.4b	(-.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)))
	38.7b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.5b	(-.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)))))
	21.7b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	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)))
	41.0b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
	16.5b	(-.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)))
	21.5b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	34.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	40.8b	(-.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)))
	29.9b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	38.7b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
▶	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 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)))
	40.8b	(-.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)))

Compiler

Compiled 3940 to 1245 computations (68.4% 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)
	28.9b	(tan.f64 (*.f64 (PI.f64) l))

series102.0ms (1.3%)

Counts

2 → 48

Calls

2 calls:

59.0ms	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
42.0ms	(/.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)

simplify271.0ms (3.4%)

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

prune516.0ms (6.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	216	8	224
Fresh	7	12	19
Picked	1	0	1
Done	0	0	0
Total	224	20	244

Error

11.9b

Counts

244 → 20

Alt Table

Status	Error	Program
	34.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	35.5b	(-.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)))))
	12.5b	(-.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))) (.f64 (cbrt.f64 F) (cbrt.f64 F))) (/.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 F)) (cbrt.f64 F))))
	40.8b	(-.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)))
	12.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) F)))
	38.7b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	22.7b	(-.f64 (.f64 (PI.f64) l) (cbrt.f64 (/.f64 (.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (.f64 (.f64 F F) 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)))
	12.3b	(-.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))
▶	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 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)))
	16.5b	(-.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)))
	21.5b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
	29.9b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	12.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64))))) F) F))
	54.0b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	38.7b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	40.8b	(-.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)))
	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)))

Compiler

Compiled 5697 to 1676 computations (70.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F)) F)
	0.3b	(*.f64 (PI.f64) l)
✓	0.3b	(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F))
	28.9b	(tan.f64 (*.f64 (PI.f64) l))

series141.0ms (1.8%)

Counts

2 → 48

Calls

2 calls:

96.0ms	(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F)) F)
45.0ms	(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F))

rewrite56.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
19×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
14×	`times-frac_binary64`
13×	`associate-r_binary64`

Counts

2 → 71

Calls

2 calls:

46.0ms	(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F))
6.0ms	(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F)) F)

simplify134.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

732×	`fma-def_binary64`
628×	`associate-/l*_binary64`
533×	`unswap-sqr_binary64`
393×	`associate-/l/_binary64`
344×	`associate-/r*_binary64`

Counts

119 → 123

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	2293
1	338	2096
2	1016	2092
3	3477	2088
4	4481	2088
5	5427	2088

prune428.0ms (5.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	2	17	19
Picked	0	1	1
Done	0	0	0
Total	183	20	203

Error

11.9b

Counts

203 → 20

Alt Table

Status	Error	Program
	16.5b	(-.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)))
▶	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)))))
	34.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	35.5b	(-.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)))))
	12.5b	(-.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))) (.f64 (cbrt.f64 F) (cbrt.f64 F))) (/.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 F)) (cbrt.f64 F))))
	40.8b	(-.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)))
	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)))
	12.3b	(-.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))
✓	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 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)))
	21.5b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
	29.9b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	38.7b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	12.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64))))) F) F))
	12.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (/.f64 1 F)))) (cbrt.f64 (/.f64 1 F))) F))
	54.0b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	38.7b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	40.8b	(-.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)))
	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)))

Compiler

Compiled 4609 to 1943 computations (57.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
	0.3b	(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F))
✓	0.6b	(/.f64 1 (/.f64 F (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F))))
	28.9b	(tan.f64 (*.f64 (PI.f64) l))

series61.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

60.0ms

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

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-exp-log_binary64`
45×	`times-frac_binary64`
33×	`div-exp_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`

Counts

1 → 84

Calls

1 calls:

9.0ms

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

simplify104.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

619×	`fma-def_binary64`
553×	`unswap-sqr_binary64`
438×	`associate-/l*_binary64`
387×	`associate-/r/_binary64`
364×	`associate-/r*_binary64`

Counts

108 → 122

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	2393
1	302	2070
2	911	2070
3	2975	2064
4	3947	2064
5	4963	2064

prune664.0ms (8.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	246	3	249
Fresh	2	16	18
Picked	1	0	1
Done	0	1	1
Total	249	20	269

Error

11.9b

Counts

269 → 20

Alt Table

Status	Error	Program
	12.5b	(-.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))) (.f64 (cbrt.f64 F) (cbrt.f64 F))) (/.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 F)) (cbrt.f64 F))))
	40.8b	(-.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)))
	34.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (.f64 (tan.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))) (/.f64 1 F)))))
	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
	38.7b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	12.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (*.f64 l (cbrt.f64 (PI.f64))))) (/.f64 1 F)))))
	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (.f64 (tan.f64 (.f64 1 (.f64 (PI.f64) l))) (/.f64 1 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)))
	12.3b	(-.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))
	16.5b	(-.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)))
	21.5b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	35.5b	(-.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)))))
	29.9b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	12.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64))))) F) F))
	12.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (/.f64 1 F)))) (cbrt.f64 (/.f64 1 F))) F))
	54.0b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
✓	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)) F))
	38.7b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	40.8b	(-.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)))
	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)))

Compiler

Compiled 6123 to 2791 computations (54.4% saved)

regimes814.0ms (10.3%)

Accuracy

Total 0.3b remaining (2.2%)

Threshold costs 0.3b (2.2%)

Counts

120 → 1

Compiler

Compiled 15291 to 8736 computations (42.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	16	23
2	22	23
3	24	23
4	25	23
5	23	23

end1.0ms (0%)

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

sample2.8s (35.2%)

Algorithm

1×

intervals

Results

1.0s	1028×	body	2048	valid
552.0ms	1744×	body	1024	valid
284.0ms	4180×	body	128	valid
191.0ms	48×	body	4096	valid
145.0ms	680×	body	512	valid
45.0ms	320×	body	256	valid
15.0ms	214×	body	128	invalid
5.0ms	11×	body	2048	invalid
2.0ms	6×	body	8192	exit

Compiler

Compiled 466 to 265 computations (43.1% 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

analyze969.0ms (12.3%)

sample219.0ms (2.8%)

simplify22.0ms (0.3%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series157.0ms (2%)

rewrite16.0ms (0.2%)

simplify106.0ms (1.3%)

prune256.0ms (3.3%)

localize7.0ms (0.1%)

series102.0ms (1.3%)

rewrite16.0ms (0.2%)

simplify271.0ms (3.4%)

prune516.0ms (6.5%)

localize10.0ms (0.1%)

series141.0ms (1.8%)

rewrite56.0ms (0.7%)

simplify134.0ms (1.7%)

prune428.0ms (5.4%)

localize11.0ms (0.1%)

series61.0ms (0.8%)

rewrite18.0ms (0.2%)

simplify104.0ms (1.3%)

prune664.0ms (8.4%)

regimes814.0ms (10.3%)

simplify3.0ms (0%)

end1.0ms (0%)

sample2.8s (35.2%)

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