Details

analyze725.0ms (9.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.7s (23%)

Results

737.0ms	1999×	body	1024	valid
496.0ms	4676×	body	128	valid
295.0ms	1045×	body	512	valid
104.0ms	530×	body	256	valid
3.0ms	6×	body	2048	valid

Compiler

Compiled 50 to 26 computations (48% saved)

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

678×	`unsub-neg_binary64`
627×	`times-frac_binary64`
565×	`div-sub_binary64`
547×	`fma-def_binary64`
526×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	19	22
2	30	22
3	47	22
4	94	22
5	137	22
6	211	22
7	437	22
8	928	22
9	1718	22
10	3074	22
11	3861	22
12	4442	22
13	4822	22

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

0.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 92 to 45 computations (51.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (tan.f64 x) (tan.f64 x) 1)
✓	0.2b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
✓	0.2b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))

series95.0ms (1.3%)

Counts

4 → 48

Calls

4 calls:

63.0ms	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
14.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) 1)
9.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
9.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`log1p-expm1-u_binary64`
872×	`expm1-log1p-u_binary64`
248×	`prod-diff_binary64`
145×	`egg-rr`
89×	`add-sqr-sqrt_binary64`

Counts

4 → 145

Calls

4 calls:

75.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) 1)
75.0ms	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
75.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
75.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	44
1	176	44
2	2192	44
3	5841	44

simplify104.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

669×	`fma-def_binary64`
542×	`associate-l_binary64`
461×	`unswap-sqr_binary64`
457×	`associate-r_binary64`
342×	`cancel-sign-sub-inv_binary64`

Counts

193 → 178

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	868
1	132	864
2	326	858
3	936	856
4	3585	856
5	4667	856
6	4878	856
7	4953	856

prune374.0ms (4.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	165	13	178
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	167	13	180

Error

0.0b

Counts

180 → 13

Alt Table

Status	Error	Program
	0.4b	(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	0.7b	(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (pow.f64 (tan.f64 x) 2) (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (pow.f64 (tan.f64 x) 2))))
	0.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3))
	0.5b	(+.f64 (fma.f64 1 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	0.4b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.4b	(/.f64 (/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	1.4b	(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
▶	0.3b	(pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)
	0.4b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 1)
	0.7b	(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))
	0.9b	(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (.f64 (/.f64 (tan.f64 x) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)) (*.f64 (/.f64 (tan.f64 x) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)))))
	13.9b	(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
	0.4b	(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))

Compiler

Compiled 6733 to 3885 computations (42.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
✓	0.2b	(pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)
✓	0.2b	(-.f64 1 (pow.f64 (tan.f64 x) 2))
✓	0.2b	(pow.f64 (tan.f64 x) 2)

series211.0ms (2.8%)

Counts

4 → 48

Calls

4 calls:

128.0ms	(pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)
63.0ms	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
11.0ms	(-.f64 1 (pow.f64 (tan.f64 x) 2))
9.0ms	(pow.f64 (tan.f64 x) 2)

rewrite72.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`log-prod_binary64`
185×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`
173×	`pow3_binary64`
171×	`prod-diff_binary64`

Counts

4 → 162

Calls

4 calls:

69.0ms	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
69.0ms	(pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)
69.0ms	(-.f64 1 (pow.f64 (tan.f64 x) 2))
69.0ms	(pow.f64 (tan.f64 x) 2)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	235	55
2	2576	55
3	4911	55

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

776×	`fma-def_binary64`
652×	`associate-l_binary64`
538×	`associate-r_binary64`
461×	`unswap-sqr_binary64`
342×	`cancel-sign-sub-inv_binary64`

Counts

210 → 195

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1029
1	143	1025
2	356	1019
3	1041	1017
4	4130	1017
5	5038	1017

prune426.0ms (5.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	191	4	195
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	198	10	208

Error

0.0b

Counts

208 → 10

Alt Table

Status	Error	Program
	0.7b	(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (pow.f64 (tan.f64 x) 2) (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (pow.f64 (tan.f64 x) 2))))
	0.4b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)))) 1)
	0.4b	(pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))) -1)
	0.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3))
▶	0.3b	(/.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))))
	0.7b	(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))
	0.9b	(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (.f64 (/.f64 (tan.f64 x) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)) (*.f64 (/.f64 (tan.f64 x) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)))))
	13.9b	(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
	1.4b	(pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) -1)
	0.4b	(/.f64 (/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))

Compiler

Compiled 4928 to 3384 computations (31.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
	0.2b	(-.f64 1 (pow.f64 (tan.f64 x) 2))
✓	0.2b	(/.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))))
	0.2b	(pow.f64 (tan.f64 x) 2)

series101.0ms (1.3%)

Counts

2 → 24

Calls

2 calls:

58.0ms	(/.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))))
43.0ms	(/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

276×	`prod-diff_binary64`
239×	`fma-def_binary64`
204×	`expm1-udef_binary64`
204×	`log1p-udef_binary64`
198×	`log-div_binary64`

Counts

2 → 85

Calls

2 calls:

62.0ms	(/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
62.0ms	(/.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	255	32
2	3024	32
3	5094	32

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

461×	`distribute-rgt-neg-in_binary64`
404×	`distribute-lft-neg-in_binary64`
382×	`fma-def_binary64`
348×	`associate-l_binary64`
333×	`unswap-sqr_binary64`

Counts

109 → 100

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	543
1	98	539
2	227	533
3	630	531
4	2411	531
5	4824	531
6	4973	531
7	4936	531

prune507.0ms (6.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	230	2	232
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	233	9	242

Error

0.0b

Counts

242 → 9

Alt Table

Status	Error	Program
	0.4b	(pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))) -1)
	0.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3))
	0.6b	(*.f64 (/.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) -2))) (/.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))
▶	0.4b	(/.f64 (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) 1)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))))
	0.7b	(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))
	0.9b	(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (.f64 (/.f64 (tan.f64 x) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)) (*.f64 (/.f64 (tan.f64 x) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)))))
	13.9b	(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
	0.7b	(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (pow.f64 (tan.f64 x) 2) (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (pow.f64 (tan.f64 x) 2))))
	0.4b	(/.f64 (/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))

Compiler

Compiled 6025 to 4444 computations (26.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) 1)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))))
	0.2b	(pow.f64 (tan.f64 x) 2)
✓	0.5b	(pow.f64 (tan.f64 x) 6)
✓	11.0b	(cbrt.f64 (pow.f64 (tan.f64 x) 6))

series86.0ms (1.1%)

Counts

3 → 36

Calls

3 calls:

57.0ms	(/.f64 (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) 1)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))))
19.0ms	(pow.f64 (tan.f64 x) 6)
9.0ms	(cbrt.f64 (pow.f64 (tan.f64 x) 6))

rewrite103.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

290×	`prod-diff_binary64`
265×	`fma-def_binary64`
252×	`fma-udef_binary64`
232×	`expm1-udef_binary64`
232×	`log1p-udef_binary64`

Counts

3 → 122

Calls

3 calls:

100.0ms	(/.f64 (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) 1)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))))
100.0ms	(pow.f64 (tan.f64 x) 6)
100.0ms	(cbrt.f64 (pow.f64 (tan.f64 x) 6))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	319	32
2	3379	32
3	4982	32
4	4893	32

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

793×	`fma-def_binary64`
595×	`times-frac_binary64`
473×	`fma-neg_binary64`
412×	`cancel-sign-sub-inv_binary64`
231×	`*-commutative_binary64`

Counts

158 → 149

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	686
1	144	684
2	348	676
3	1050	674
4	3776	650
5	4861	650
6	5000	650

prune375.0ms (4.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	189	9	198

Error

0.0b

Counts

198 → 9

Alt Table

Status	Error	Program
	0.4b	(pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))) -1)
	0.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3))
	0.6b	(*.f64 (/.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) -2))) (/.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))
✓	0.4b	(/.f64 (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) 1)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))))
	0.7b	(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))
	0.9b	(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (.f64 (/.f64 (tan.f64 x) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)) (*.f64 (/.f64 (tan.f64 x) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)))))
	13.9b	(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
	0.7b	(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (pow.f64 (tan.f64 x) 2) (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (pow.f64 (tan.f64 x) 2))))
	0.4b	(/.f64 (/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))

Compiler

Compiled 4755 to 3356 computations (29.4% saved)

regimes1.9s (25.6%)

Accuracy

Total 0.2b remaining (70.4%)

Threshold costs 0.2b (70.4%)

Counts

431 → 1

Compiler

Compiled 39794 to 29438 computations (26% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	16	22
2	22	22
3	26	22
4	28	22
5	27	22

end238.0ms (3.1%)

Compiler: Compiled 440 to 271 computations (38.4% saved)

Details

analyze725.0ms (9.5%)

sample1.7s (23%)

simplify90.0ms (1.2%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series95.0ms (1.3%)

rewrite79.0ms (1%)

simplify104.0ms (1.4%)

prune374.0ms (4.9%)

localize8.0ms (0.1%)

series211.0ms (2.8%)

rewrite72.0ms (1%)

simplify66.0ms (0.9%)

prune426.0ms (5.6%)

localize8.0ms (0.1%)

series101.0ms (1.3%)

rewrite64.0ms (0.8%)

simplify85.0ms (1.1%)

prune507.0ms (6.7%)

localize11.0ms (0.1%)

series86.0ms (1.1%)

rewrite103.0ms (1.4%)

simplify66.0ms (0.9%)

prune375.0ms (4.9%)

regimes1.9s (25.6%)

simplify2.0ms (0%)

end238.0ms (3.1%)

Profiling