Details

analyze966.0ms (10.9%)

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

25.0ms	27×	body	2048	valid
18.0ms	56×	body	1024	valid
11.0ms	3×	body	4096	valid
9.0ms	137×	body	128	valid
5.0ms	25×	body	512	valid
1.0ms	8×	body	256	valid
0.0ms	2×	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

15.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	15.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	15.6b	(-.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)

localize8.0ms (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)
✓	4.5b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	28.7b	(tan.f64 (*.f64 (PI.f64) l))

series127.0ms (1.4%)

Counts

4 → 60

Calls

4 calls:

69.0ms	(/.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)))
13.0ms	(tan.f64 (*.f64 (PI.f64) l))
2.0ms	(*.f64 (PI.f64) l)

rewrite17.0ms (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 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
5.0ms	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
3.0ms	(*.f64 (PI.f64) l)
1.0ms	(tan.f64 (*.f64 (PI.f64) l))

simplify109.0ms (1.2%)

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

prune238.0ms (2.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	124	19	143
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	126	19	145

Error

10.4b

Counts

145 → 19

Alt Table

Status	Error	Program
	37.2b	(-.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)))
	10.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	20.4b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	44.5b	(cbrt.f64 (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) 3))
	15.7b	(-.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)))
	29.4b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	28.3b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	15.7b	(-.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)))
▶	10.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	15.3b	(-.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)))
	35.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 F (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))
	15.4b	(-.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)))
	37.2b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	51.7b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	40.3b	(-.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)))
	15.3b	(-.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)))
	37.2b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	10.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	15.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))

Compiler

Compiled 3850 to 1219 computations (68.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.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)
	28.7b	(tan.f64 (*.f64 (PI.f64) l))

series131.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

87.0ms	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
43.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite43.0ms (0.5%)

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:

30.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
5.0ms	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)

simplify144.0ms (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

prune480.0ms (5.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	216	8	224
Fresh	7	11	18
Picked	1	0	1
Done	0	0	0
Total	224	19	243

Error

10.3b

Counts

243 → 19

Alt Table

Status	Error	Program
	20.4b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	36.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)) (sqrt.f64 F)) F))
	15.7b	(-.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)))
	29.4b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	28.3b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	37.2b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
▶	10.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)) F))
	10.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
	33.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) F)))
	15.4b	(-.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)))
	37.2b	(-.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)))
	37.2b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	51.7b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	40.3b	(-.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)))
	15.3b	(-.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)))
	10.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 (cbrt.f64 F) (cbrt.f64 F))) (cbrt.f64 F)) F))
	11.2b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 5)) (cbrt.f64 F)))
	10.9b	(-.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))

Compiler

Compiled 5551 to 1636 computations (70.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.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))
	28.7b	(tan.f64 (*.f64 (PI.f64) l))

series153.0ms (1.7%)

Counts

2 → 48

Calls

2 calls:

108.0ms	(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F)) F)
45.0ms	(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F))

rewrite17.0ms (0.2%)

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:

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

simplify147.0ms (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

prune389.0ms (4.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	1	17	18
Picked	0	1	1
Done	0	0	0
Total	183	19	202

Error

10.3b

Counts

202 → 19

Alt Table

Status	Error	Program
	20.4b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	36.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)) (sqrt.f64 F)) F))
	15.7b	(-.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)))
	10.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F)) (/.f64 1 F)))
	29.4b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	28.3b	(-.f64 (.f64 (PI.f64) l) (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	37.2b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
✓	10.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)) F))
▶	10.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
	33.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) F)))
	15.4b	(-.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)))
	37.2b	(-.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)))
	37.2b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	51.7b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	40.3b	(-.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)))
	15.3b	(-.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)))
	11.2b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 5)) (cbrt.f64 F)))
	10.9b	(-.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))

Compiler

Compiled 4495 to 1891 computations (57.9% saved)

localize8.0ms (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)
✓	0.5b	(/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	28.7b	(tan.f64 (*.f64 (PI.f64) l))

series139.0ms (1.6%)

Counts

2 → 48

Calls

2 calls:

77.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
62.0ms	(/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))

rewrite13.0ms (0.1%)

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:

6.0ms	(/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
3.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))

simplify96.0ms (1.1%)

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

prune204.0ms (2.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	154	3	157
Fresh	8	9	17
Picked	1	0	1
Done	0	1	1
Total	163	13	176

Error

1.0b

Counts

176 → 13

Alt Table

Status	Error	Program
	1.3b	(-.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) (.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))))))))))
	40.3b	(-.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)))
	10.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (.f64 F (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))))))
	20.4b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	15.7b	(-.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)))
	10.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F)) (/.f64 1 F)))
	29.4b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	37.2b	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	34.6b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))
✓	10.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)) F))
	11.2b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	10.9b	(-.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))
	33.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) F)))

Compiler

Compiled 3547 to 1346 computations (62.1% saved)

regimes1.5s (16.6%)

Accuracy

Total 0.5b remaining (18.7%)

Threshold costs 0.5b (18.7%)

Counts

204 → 1

Compiler

Compiled 27737 to 16565 computations (40.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	67
1	45	67
2	54	67
3	58	67
4	60	67
5	58	67

end1.0ms (0%)

Compiler: Compiled 44 to 30 computations (31.8% saved)

sample3.7s (41.8%)

Algorithm

1×

intervals

Results

1.2s	1052×	body	2048	valid
816.0ms	690×	body	512	valid
599.0ms	1793×	body	1024	valid
278.0ms	4131×	body	128	valid
187.0ms	52×	body	4096	valid
41.0ms	282×	body	256	valid
12.0ms	174×	body	128	invalid
7.0ms	12×	body	2048	invalid
2.0ms	4×	body	8192	exit

Compiler

Compiled 339 to 207 computations (38.9% 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

analyze966.0ms (10.9%)

sample221.0ms (2.5%)

simplify22.0ms (0.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series127.0ms (1.4%)

rewrite17.0ms (0.2%)

simplify109.0ms (1.2%)

prune238.0ms (2.7%)

localize7.0ms (0.1%)

series131.0ms (1.5%)

rewrite43.0ms (0.5%)

simplify144.0ms (1.6%)

prune480.0ms (5.4%)

localize10.0ms (0.1%)

series153.0ms (1.7%)

rewrite17.0ms (0.2%)

simplify147.0ms (1.7%)

prune389.0ms (4.4%)

localize8.0ms (0.1%)

series139.0ms (1.6%)

rewrite13.0ms (0.1%)

simplify96.0ms (1.1%)

prune204.0ms (2.3%)

regimes1.5s (16.6%)

simplify4.0ms (0%)

end1.0ms (0%)

sample3.7s (41.8%)

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