Details

analyze1.1s (12%)

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)

sample3.4s (38.5%)

Results

1.1s	1013×	body	2048	valid
1.0s	1931×	body	1024	valid
532.0ms	4185×	body	128	valid
274.0ms	765×	body	512	valid
135.0ms	38×	body	4096	valid
79.0ms	324×	body	256	valid
26.0ms	196×	body	128	invalid
8.0ms	12×	body	2048	invalid
5.0ms	7×	body	8192	exit

Compiler

Compiled 50 to 32 computations (36% 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

16.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	16.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.9b	(-.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)
✓	4.3b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	31.3b	(tan.f64 (*.f64 (PI.f64) l))

series140.0ms (1.6%)

Counts

4 → 60

Calls

4 calls:

86.0ms	(/.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)))
12.0ms	(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))

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

prune191.0ms (2.2%)

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

12.4b

Counts

145 → 19

Alt Table

Status	Error	Program
	41.2b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	41.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 l)))) (.f64 F F)))
	17.3b	(-.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)))
	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	44.1b	(/.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))))))
	33.1b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	16.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))) (.f64 F F)))
	17.2b	(-.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)))
	16.8b	(-.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)))))
	16.8b	(-.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)))
	21.2b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	36.3b	(/.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 (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)))
▶	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	12.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	39.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))
	13.0b	(-.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)))
	42.4b	(.f64 (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	37.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))

Compiler

Compiled 4038 to 1235 computations (69.4% 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)
	0.2b	(*.f64 (PI.f64) l)
	31.3b	(tan.f64 (*.f64 (PI.f64) l))

series98.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

59.0ms	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
39.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite15.0ms (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)

simplify198.0ms (2.3%)

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

prune437.0ms (5%)

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

12.4b

Counts

243 → 19

Alt Table

Status	Error	Program
▶	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
	41.2b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	41.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 l)))) (.f64 F F)))
	17.3b	(-.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)))
	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	12.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64))))) F) F))
	44.1b	(/.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))))))
	33.1b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	13.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.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 F) (cbrt.f64 F))) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 F))))
	42.4b	(.f64 (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	16.8b	(-.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)))
	21.2b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	16.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F))
	36.3b	(/.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 (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)))
	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F))
	37.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) F) F))
	13.3b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	13.0b	(-.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 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F))) F))

Compiler

Compiled 5729 to 1664 computations (71% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	0.3b	(expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))
✓	0.3b	(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
	31.3b	(tan.f64 (*.f64 (PI.f64) l))

series26.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

13.0ms	(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
13.0ms	(expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`log1p-expm1-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))

simplify151.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

854×	`distribute-lft-out_binary64`
633×	`sqr-pow_binary64`
591×	`*-commutative_binary64`
444×	`associate-+l+_binary64`
388×	`unswap-sqr_binary64`

Counts

46 → 46

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	73	737
1	166	703
2	428	700
3	1480	692
4	2245	680
5	2904	680
6	3158	674
7	3595	674
8	3794	674
9	4044	674
10	4349	674
11	4633	674
12	4899	674

prune222.0ms (2.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	104	21	125

Error

12.4b

Counts

125 → 21

Alt Table

Status	Error	Program
✓	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
	41.2b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	41.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 l)))) (.f64 F F)))
	17.3b	(-.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)))
	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	13.0b	(-.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 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F))) F))
	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (.f64 l (cbrt.f64 (PI.f64))))))) F) F))
	12.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64))))) F) F))
	44.1b	(/.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))))))
	33.1b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	13.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.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 F) (cbrt.f64 F))) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 F))))
	42.4b	(.f64 (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	16.8b	(-.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)))
	21.2b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	16.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F))
	36.3b	(/.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 (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)))
▶	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F))
	37.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) F) F))
	13.3b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	39.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) F) F))

Compiler

Compiled 3125 to 1249 computations (60% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
	0.2b	(*.f64 (PI.f64) l)
✓	0.5b	(/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
	31.3b	(tan.f64 (*.f64 (PI.f64) l))

series109.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

70.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
39.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))

rewrite15.0ms (0.2%)

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

simplify174.0ms (2%)

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

prune283.0ms (3.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	219	3	222
Fresh	12	7	19
Picked	1	0	1
Done	0	1	1
Total	232	11	243

Error

1.1b

Counts

243 → 11

Alt Table

Status	Error	Program
✓	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
	41.2b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	17.3b	(-.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)))
	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	13.3b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 1 F) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) F))
	44.1b	(/.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))))))
	42.4b	(.f64 (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	12.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) F))
	36.3b	(/.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))))
	1.4b	(-.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))

Compiler

Compiled 5326 to 1907 computations (64.2% saved)

regimes1.9s (21.6%)

Accuracy

Total 0.4b remaining (17.7%)

Threshold costs 0.4b (17.7%)

Counts

224 → 1

Compiler

Compiled 33644 to 19556 computations (41.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
24×	`+-commutative_binary64`
22×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	72
1	49	72
2	62	72
3	87	72
4	123	72
5	158	72
6	191	72
7	211	72
8	221	72
9	223	72
10	218	72

end190.0ms (2.2%)

Compiler: Compiled 410 to 211 computations (48.5% 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	31	72
1	49	72
2	62	72
3	87	72
4	123	72
5	158	72
6	191	72
7	211	72
8	221	72
9	223	72
10	218	72

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	31	72
1	49	72
2	62	72
3	87	72
4	123	72
5	158	72
6	191	72
7	211	72
8	221	72
9	223	72
10	218	72

Details

analyze1.1s (12%)

sample3.4s (38.5%)

simplify22.0ms (0.3%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series140.0ms (1.6%)

rewrite16.0ms (0.2%)

simplify109.0ms (1.2%)

prune191.0ms (2.2%)

localize7.0ms (0.1%)

series98.0ms (1.1%)

rewrite15.0ms (0.2%)

simplify198.0ms (2.3%)

prune437.0ms (5%)

localize10.0ms (0.1%)

series26.0ms (0.3%)

rewrite1.0ms (0%)

simplify151.0ms (1.7%)

prune222.0ms (2.5%)

localize11.0ms (0.1%)

series109.0ms (1.2%)

rewrite15.0ms (0.2%)

simplify174.0ms (2%)

prune283.0ms (3.2%)

regimes1.9s (21.6%)

simplify7.0ms (0.1%)

end190.0ms (2.2%)

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

Iter	Nodes	Cost
0	31	72
1	49	72
2	62	72
3	87	72
4	123	72
5	158	72
6	191	72
7	211	72
8	221	72
9	223	72
10	218	72