Details

analyze1.0s (9.6%)

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 (32.3%)

Results

1.3s	1061×	body	2048	valid
872.0ms	1835×	body	1024	valid
634.0ms	4286×	body	128	valid
248.0ms	714×	body	512	valid
166.0ms	47×	body	4096	valid
77.0ms	313×	body	256	valid
24.0ms	180×	body	128	invalid
7.0ms	11×	body	2048	invalid
3.0ms	4×	body	8192	exit

Compiler

Compiled 50 to 32 computations (36% saved)

simplify24.0ms (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

15.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	15.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	15.4b	(-.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)
✓	2.4b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	31.5b	(tan.f64 (*.f64 (PI.f64) l))

series109.0ms (1%)

Counts

4 → 60

Calls

4 calls:

53.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
40.0ms	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
13.0ms	(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:

4.0ms	(-.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))

simplify100.0ms (0.9%)

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

prune253.0ms (2.4%)

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

12.8b

Counts

145 → 20

Alt Table

Status	Error	Program
	39.7b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	20.8b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	15.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))) (.f64 F F)))
	40.0b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
	15.7b	(-.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)))
	13.2b	(+.f64 (.f64 (PI.f64) l) (.f64 (neg.f64 (/.f64 1 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	39.7b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	26.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	15.7b	(-.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)))
	15.6b	(-.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))))))
	13.3b	(-.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)))
	39.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))) (.f64 F F)))
	16.2b	(-.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)))
	15.6b	(-.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)))
	20.4b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	47.2b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3)) (+.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) 6) (.f64 (.f64 (PI.f64) l) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
	16.1b	(-.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)))
▶	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	38.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	30.8b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))

Compiler

Compiled 3966 to 1261 computations (68.2% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.3b	(*.f64 (PI.f64) l)
✓	0.5b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	31.5b	(tan.f64 (*.f64 (PI.f64) l))

series93.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

53.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
40.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite56.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

405×	`times-frac_binary64`
195×	`*-un-lft-identity_binary64`
195×	`add-sqr-sqrt_binary64`
195×	`add-cube-cbrt_binary64`
47×	`associate-/r*_binary64`

Counts

2 → 236

Calls

2 calls:

10.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
3.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

simplify348.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

587×	`fma-neg_binary64`
352×	`*-commutative_binary64`
291×	`fma-def_binary64`
278×	`associate-/r/_binary64`
242×	`unswap-sqr_binary64`

Counts

284 → 341

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	280	8467
1	586	7416
2	1805	7073
3	2193	7067
4	2824	7067
5	4081	6913
6	4484	6901
7	4978	6901
8	4894	6901

prune802.0ms (7.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	395	6	401
Fresh	5	14	19
Picked	1	0	1
Done	0	0	0
Total	401	20	421

Error

12.8b

Counts

421 → 20

Alt Table

Status	Error	Program
	39.7b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	20.8b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	16.2b	(-.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)))
	13.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l))) F))))
	15.6b	(-.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)))
	24.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F))))
	38.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))) F))))
	15.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))) (.f64 F F)))
	40.0b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
▶	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F))
	15.7b	(-.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)))
	38.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 (sqrt.f64 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)))))
	15.6b	(-.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))))))
	37.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) F))))
	30.8b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	15.7b	(-.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)))
	20.4b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	39.7b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	47.2b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3)) (+.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) 6) (.f64 (.f64 (PI.f64) l) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
	16.1b	(-.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 11343 to 3683 computations (67.5% saved)

localize10.0ms (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)
✓	0.3b	(/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
	31.5b	(tan.f64 (*.f64 (PI.f64) l))

series108.0ms (1%)

Counts

2 → 48

Calls

2 calls:

67.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
41.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64`
53×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
53×	`add-cube-cbrt_binary64`
17×	`associate-/r*_binary64`

Counts

2 → 112

Calls

2 calls:

5.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
3.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))

simplify138.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

495×	`distribute-rgt-neg-in_binary64`
469×	`distribute-lft-neg-in_binary64`
412×	`associate-l_binary64`
397×	`associate-r_binary64`
312×	`fma-neg_binary64`

Counts

160 → 162

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	3444
1	327	3146
2	940	3099
3	3082	3095
4	4815	3095
5	5030	3095

prune273.0ms (2.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	217	5	222
Fresh	13	6	19
Picked	1	0	1
Done	0	0	0
Total	231	11	242

Error

1.9b

Counts

242 → 11

Alt Table

Status	Error	Program
▶	2.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 F (.f64 (pow.f64 l 5) (.f64 (pow.f64 (PI.f64) 5) -2/945)))))) F))
	38.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))) F))))
	38.3b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) F))
	20.8b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 1 F) (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) F))
	40.0b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
	39.7b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	47.2b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3)) (+.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) 6) (.f64 (.f64 (PI.f64) l) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
	16.1b	(-.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)))
	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) F))
	13.8b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 (/.f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F))

Compiler

Compiled 5538 to 2062 computations (62.8% saved)

localize22.0ms (0.2%)

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 (/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945)))))) F)
✓	3.0b	(.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945)))

series511.0ms (4.8%)

Counts

4 → 48

Calls

4 calls:

460.0ms	(/.f64 (/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945)))))) F)
50.0ms	(.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945)))
0.0ms	(pow.f64 (PI.f64) 5)
0.0ms	(pow.f64 (PI.f64) 3)

rewrite70.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

102×	`times-frac_binary64`
85×	`*-un-lft-identity_binary64`
61×	`add-sqr-sqrt_binary64`
61×	`add-cube-cbrt_binary64`
55×	`add-exp-log_binary64`

Counts

4 → 169

Calls

4 calls:

36.0ms	(/.f64 (/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945)))))) F)
6.0ms	(.f64 F (.f64 (pow.f64 l 5) (*.f64 (pow.f64 (PI.f64) 5) -2/945)))
1.0ms	(pow.f64 (PI.f64) 3)
1.0ms	(pow.f64 (PI.f64) 5)

simplify255.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

857×	`times-frac_binary64`
398×	`fma-def_binary64`
261×	`associate-r_binary64`
234×	`associate-l_binary64`
213×	`fma-neg_binary64`

Counts

217 → 229

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	315	11727
1	766	10611
2	2627	10329
3	4727	10315
4	4962	10315

prune570.0ms (5.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	226	3	229
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	227	13	240

Error

1.6b

Counts

240 → 13

Alt Table

Status	Error	Program
	47.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (exp.f64 (fma.f64 5 (+.f64 (log.f64 l) (log.f64 (PI.f64))) (log.f64 (.f64 -2/945 F))))))) F))
	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 1 F) (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) F))
	2.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (fma.f64 F (+.f64 (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 (.f64 (PI.f64) l) 3) -1/45)) (.f64 -2/945 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)))) (/.f64 F (.f64 (PI.f64) l)))) (cbrt.f64 (fma.f64 F (+.f64 (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 (.f64 (PI.f64) l) 3) -1/45)) (.f64 -2/945 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)))) (/.f64 F (.f64 (PI.f64) l)))))) (.f64 (cbrt.f64 F) (cbrt.f64 F))) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 F (+.f64 (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 (.f64 (PI.f64) l) 3) -1/45)) (.f64 -2/945 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)))) (/.f64 F (.f64 (PI.f64) l))))) (cbrt.f64 F))))
	38.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))) F))))
	38.3b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) F))
	20.8b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	2.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (log1p.f64 (expm1.f64 (.f64 F (.f64 (pow.f64 l 5) (.f64 (pow.f64 (PI.f64) 5) -2/945)))))))) F))
	40.0b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) (log.f64 (*.f64 F F)))))
	39.7b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	47.2b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3)) (+.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) 6) (.f64 (.f64 (PI.f64) l) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
	16.1b	(-.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)))
	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) F))
	13.8b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 (/.f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F))

Compiler

Compiled 14986 to 8641 computations (42.3% saved)

regimes2.2s (20.4%)

Accuracy

Total 0.7b remaining (37.6%)

Threshold costs 0.7b (37.6%)

Counts

271 → 1

Compiler

Compiled 45926 to 27778 computations (39.5% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`distribute-neg-frac_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	69
1	40	69
2	46	69
3	52	69
4	55	69
5	56	69
6	54	69

end261.0ms (2.4%)

Compiler: Compiled 511 to 306 computations (40.1% 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

analyze1.0s (9.6%)

sample3.5s (32.3%)

simplify24.0ms (0.2%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series109.0ms (1%)

rewrite16.0ms (0.2%)

simplify100.0ms (0.9%)

prune253.0ms (2.4%)

localize8.0ms (0.1%)

series93.0ms (0.9%)

rewrite56.0ms (0.5%)

simplify348.0ms (3.2%)

prune802.0ms (7.5%)

localize10.0ms (0.1%)

series108.0ms (1%)

rewrite15.0ms (0.1%)

simplify138.0ms (1.3%)

prune273.0ms (2.5%)

localize22.0ms (0.2%)

series511.0ms (4.8%)

rewrite70.0ms (0.6%)

simplify255.0ms (2.4%)

prune570.0ms (5.3%)

regimes2.2s (20.4%)

simplify4.0ms (0%)

end261.0ms (2.4%)

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