Details

analyze717.0ms (7.7%)

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)

sample1.6s (17.7%)

Results

754.0ms	2082×	body	1024	valid
477.0ms	4579×	body	128	valid
291.0ms	1036×	body	512	valid
109.0ms	552×	body	256	valid
3.0ms	7×	body	2048	valid

Compiler

Compiled 34 to 18 computations (47.1% saved)

preprocess34.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

627×	`times-frac_binary64`
563×	`div-sub_binary64`
543×	`fma-def_binary64`
333×	`fma-neg_binary64`
263×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	19	22
2	31	22
3	49	22
4	99	22
5	169	22
6	279	22
7	588	22
8	1466	22
9	3717	22
0	1	1

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 16 to 8 computations (50% saved)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

627×	`times-frac_binary64`
563×	`div-sub_binary64`
543×	`fma-def_binary64`
333×	`fma-neg_binary64`
263×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	19	22
2	31	22
3	49	22
4	99	22
5	169	22
6	279	22
7	588	22
8	1466	22
9	3717	22

Stop Event

1×	node limit

Counts

1 → 2

prune5.0ms (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

0.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.4b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
▶	0.4b	(/.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)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.2b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	0.2b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

series85.0ms (0.9%)

Counts

4 → 48

Calls

12 calls:

28.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))	x	inf
28.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))	x	-inf
5.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))	x	inf
4.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))	x	-inf
4.0ms	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))	x	-inf

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`log-prod_binary64`
381×	`prod-diff_binary64`
236×	`egg-rr`
196×	`fma-def_binary64`
157×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	44
1	182	44
2	2528	44

Stop Event

1×	node limit

Counts

4 → 236

simplify36.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

669×	`fma-def_binary64`
515×	`associate-l_binary64`
460×	`associate-r_binary64`
342×	`cancel-sign-sub-inv_binary64`
184×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	868
1	132	864
2	345	858
3	1101	856

Stop Event

1×	node limit

Counts

284 → 269

prune635.0ms (6.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	294	14	308
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	296	14	310

Error

0.0b

Counts

310 → 14

Alt Table

Status	Error	Program
	0.6b	(+.f64 (fma.f64 1 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (neg.f64 (.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (hypot.f64 1 (tan.f64 x)))) (/.f64 1 (hypot.f64 1 (tan.f64 x))) (.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x))))))
	0.8b	(/.f64 (fma.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.8b	(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))))
	0.7b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(-.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))
	0.9b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.8b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.5b	(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4)))))) (fma.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))
	0.7b	(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4)))))) (fma.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))
	0.7b	(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (neg.f64 (.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6)))))) (fma.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6))))))
	0.5b	(*.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (fma.f64 -1 (pow.f64 (tan.f64 x) 2) -1)))
	1.0b	(+.f64 (fma.f64 1 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (neg.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)))))
	1.2b	(/.f64 (+.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)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 11831 to 7826 computations (33.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	0.2b	(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))
✓	0.2b	(*.f64 (sin.f64 x) (tan.f64 x))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

series87.0ms (0.9%)

Counts

3 → 36

Calls

9 calls:

31.0ms	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))	x	-inf
31.0ms	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))	x	inf
7.0ms	(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))	x	-inf
7.0ms	(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))	x	inf
4.0ms	(*.f64 (sin.f64 x) (tan.f64 x))	x	-inf

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

282×	`fma-def_binary64`
217×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`
184×	`fma-neg_binary64`
134×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	267	37
2	4038	37

Stop Event

1×	node limit

Counts

3 → 103

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

660×	`fma-def_binary64`
628×	`associate-l_binary64`
543×	`associate-r_binary64`
342×	`cancel-sign-sub-inv_binary64`
184×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	665
1	136	665
2	351	661
3	1147	659

Stop Event

1×	node limit

Counts

139 → 127

prune329.0ms (3.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	167	13	180

Error

0.0b

Counts

180 → 13

Alt Table

Status	Error	Program
	0.6b	(+.f64 (fma.f64 1 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (neg.f64 (.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (hypot.f64 1 (tan.f64 x)))) (/.f64 1 (hypot.f64 1 (tan.f64 x))) (.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x))))))
	0.8b	(/.f64 (fma.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(-.f64 (/.f64 1 (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)))
	0.8b	(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))))
	0.7b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
	0.9b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.8b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.5b	(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4)))))) (fma.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))
	0.7b	(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4)))))) (fma.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))
	0.7b	(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (neg.f64 (.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6)))))) (fma.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6))))))
	1.0b	(+.f64 (fma.f64 1 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (neg.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)))))
	1.2b	(/.f64 (+.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)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 5062 to 3056 computations (39.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
	0.2b	(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))
✓	0.2b	(*.f64 (tan.f64 x) (sin.f64 x))
	0.2b	(*.f64 (sin.f64 x) (tan.f64 x))

series78.0ms (0.8%)

Counts

2 → 24

Calls

6 calls:

35.0ms	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))	x	-inf
34.0ms	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))	x	inf
3.0ms	(*.f64 (tan.f64 x) (sin.f64 x))	x	-inf
3.0ms	(*.f64 (tan.f64 x) (sin.f64 x))	x	inf
1.0ms	(*.f64 (tan.f64 x) (sin.f64 x))	x	0

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

290×	`fma-def_binary64`
216×	`expm1-udef_binary64`
215×	`log1p-udef_binary64`
195×	`fma-neg_binary64`
125×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	301	28
2	3735	28

Stop Event

1×	node limit

Counts

2 → 58

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

498×	`associate-l_binary64`
481×	`fma-def_binary64`
466×	`unswap-sqr_binary64`
417×	`associate-r_binary64`
175×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	486
1	110	486
2	268	482
3	848	480
4	4139	480

Stop Event

1×	node limit

Counts

82 → 74

prune301.0ms (3.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	151	13	164

Error

0.0b

Counts

164 → 13

Alt Table

Status	Error	Program
	0.6b	(+.f64 (fma.f64 1 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (neg.f64 (.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (hypot.f64 1 (tan.f64 x)))) (/.f64 1 (hypot.f64 1 (tan.f64 x))) (.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x))))))
	0.8b	(/.f64 (fma.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(-.f64 (/.f64 1 (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)))
	0.8b	(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))))
	0.7b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
✓	0.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
	0.9b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.8b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.5b	(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4)))))) (fma.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))
	0.7b	(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4)))))) (fma.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))
	0.7b	(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (neg.f64 (.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6)))))) (fma.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6))))))
	1.0b	(+.f64 (fma.f64 1 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (neg.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)))))
	1.2b	(/.f64 (+.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)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 4944 to 2912 computations (41.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (tan.f64 x) (tan.f64 x) 1)
✓	0.2b	(/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
✓	0.3b	(pow.f64 (tan.f64 x) 2)
✓	0.4b	(-.f64 (/.f64 1 (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)))

series191.0ms (2%)

Counts

4 → 48

Calls

12 calls:

53.0ms	(-.f64 (/.f64 1 (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)))	x	inf
53.0ms	(-.f64 (/.f64 1 (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)))	x	-inf
30.0ms	(/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))	x	-inf
30.0ms	(/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))	x	inf
6.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) 1)	x	inf

rewrite120.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`prod-diff_binary64`
273×	`egg-rr`
187×	`expm1-udef_binary64`
187×	`log1p-udef_binary64`
108×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	226	52
2	3077	52

Stop Event

1×	node limit

Counts

4 → 273

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-def_binary64`
416×	`cancel-sign-sub-inv_binary64`
241×	`fma-neg_binary64`
232×	`times-frac_binary64`
216×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	1169
1	154	1161
2	422	1153
3	1429	1151

Stop Event

1×	node limit

Counts

321 → 306

prune1.1s (11.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	337	3	340
Fresh	2	9	11
Picked	1	0	1
Done	0	1	1
Total	340	13	353

Error

0.0b

Counts

353 → 13

Alt Table

Status	Error	Program
	0.5b	(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (tan.f64 x) 2)))) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))
	0.7b	(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (.f64 (pow.f64 (tan.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -2)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (.f64 (pow.f64 (tan.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -2))) (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (*.f64 (pow.f64 (tan.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -2))))))
✓	0.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
	0.4b	(-.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (sqrt.f64 (*.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -2))))
	0.6b	(+.f64 (fma.f64 1 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (neg.f64 (.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (hypot.f64 1 (tan.f64 x)))) (/.f64 1 (hypot.f64 1 (tan.f64 x))) (.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x))))))
	0.8b	(/.f64 (fma.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.8b	(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))))
	0.7b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.9b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.8b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.5b	(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4)))))) (fma.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))
	0.7b	(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4)))))) (fma.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))
	1.2b	(/.f64 (+.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)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 16026 to 11174 computations (30.3% saved)

regimes3.2s (34.5%)

Accuracy

Total 0.3b remaining (79.8%)

Threshold costs 0.3b (79.8%)

Counts

546 → 1

Compiler

Compiled 71748 to 51004 computations (28.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	20	34
2	26	34
3	36	34
4	43	34
5	48	34
6	50	34

Stop Event

1×

saturated

end385.0ms (4.1%)

Stop Event

1×

fuel

Compiler

Compiled 697 to 494 computations (29.1% saved)

Details

analyze717.0ms (7.7%)

sample1.6s (17.7%)

preprocess34.0ms (0.4%)

simplify23.0ms (0.3%)

prune5.0ms (0%)

localize6.0ms (0.1%)

series85.0ms (0.9%)

rewrite90.0ms (1%)

simplify36.0ms (0.4%)

prune635.0ms (6.8%)

localize12.0ms (0.1%)

series87.0ms (0.9%)

rewrite58.0ms (0.6%)

simplify29.0ms (0.3%)

prune329.0ms (3.5%)

localize13.0ms (0.1%)

series78.0ms (0.8%)

rewrite65.0ms (0.7%)

simplify38.0ms (0.4%)

prune301.0ms (3.2%)

localize8.0ms (0.1%)

series191.0ms (2%)

rewrite120.0ms (1.3%)

simplify41.0ms (0.4%)

prune1.1s (11.4%)

regimes3.2s (34.5%)

simplify3.0ms (0%)

end385.0ms (4.1%)

Profiling