Details

analyze556.0ms (6.7%)

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)

sample1.4s (17%)

Results

607.0ms	2114×	body	1024	valid
387.0ms	4598×	body	128	valid
220.0ms	992×	body	512	valid
83.0ms	545×	body	256	valid
3.0ms	7×	body	2048	valid

Compiler

Compiled 50 to 26 computations (48% saved)

simplify92.0ms (1.1%)

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

series126.0ms (1.5%)

Counts

4 → 48

Calls

4 calls:

87.0ms	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
16.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) 1)
12.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
10.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`
11×	`pow1_binary64`

Counts

4 → 102

Calls

4 calls:

4.0ms	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
4.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) 1)

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

588×	`cancel-sign-sub-inv_binary64`
342×	`fma-def_binary64`
323×	`fma-neg_binary64`
287×	`associate-l_binary64`
237×	`associate-r_binary64`

Counts

150 → 159

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	3084
1	360	2781
2	960	2730
3	3123	2721
4	5035	2721

prune238.0ms (2.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	146	13	159
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	148	13	161

Error

0.0b

Counts

161 → 13

Alt Table

Status	Error	Program
	0.3b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
	0.7b	(/.f64 (-.f64 1 (.f64 (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x))) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.3b	(-.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	0.5b	(cbrt.f64 (/.f64 (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	0.4b	(log.f64 (exp.f64 (/.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.3b	(/.f64 (/.f64 (-.f64 (pow.f64 1 3) (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 3)) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
▶	0.3b	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	0.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	1.0b	(/.f64 (-.f64 1 (log1p.f64 (expm1.f64 (*.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))) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 3)))
	0.3b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	0.3b	(/.f64 (*.f64 (+.f64 1 (tan.f64 x)) (-.f64 1 (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))

Compiler

Compiled 4020 to 1921 computations (52.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 (tan.f64 x) (tan.f64 x) 1)
✓	0.1b	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
✓	0.3b	(fma.f64 (tan.f64 x) (tan.f64 x) -1)

series120.0ms (1.4%)

Counts

2 → 24

Calls

2 calls:

102.0ms	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
17.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) -1)

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`times-frac_binary64`
25×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64`
25×	`add-cube-cbrt_binary64`
12×	`distribute-lft-neg-in_binary64`

Counts

2 → 67

Calls

2 calls:

3.0ms	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
0.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) -1)

simplify113.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

647×	`fma-def_binary64`
452×	`fma-neg_binary64`
437×	`distribute-rgt-in_binary64`
303×	`div-sub_binary64`
247×	`cancel-sign-sub-inv_binary64`

Counts

91 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	2869
1	271	2750
2	719	2666
3	2137	2656
4	4677	2656
5	4913	2656

prune224.0ms (2.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	139	13	152

Error

0.0b

Counts

152 → 13

Alt Table

Status	Error	Program
	0.3b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
	0.7b	(/.f64 (-.f64 1 (.f64 (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x))) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.4b	(log.f64 (exp.f64 (/.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.3b	(-.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	1.1b	(/.f64 (log1p.f64 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	1.0b	(/.f64 (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
	0.3b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	0.3b	(/.f64 (*.f64 (+.f64 1 (tan.f64 x)) (-.f64 1 (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.3b	(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
▶	0.3b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
	0.3b	(/.f64 (/.f64 (-.f64 (pow.f64 1 3) (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 3)) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))

Compiler

Compiled 3933 to 2038 computations (48.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 (tan.f64 x) (tan.f64 x) 1)
	0.1b	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
✓	0.2b	(log1p.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	0.3b	(fma.f64 (tan.f64 x) (tan.f64 x) -1)

series1.8s (21%)

Counts

1 → 12

Calls

1 calls:

1.8s	(log1p.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 11

Calls

1 calls:

0.0ms

(log1p.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

483×	`unswap-sqr_binary64`
469×	`distribute-rgt-neg-in_binary64`
429×	`distribute-lft-neg-in_binary64`
310×	`associate-l_binary64`
300×	`associate-r_binary64`

Counts

23 → 21

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	49	864
1	102	791
2	239	791
3	696	791
4	2903	703
5	4885	575
6	4917	575
7	4916	575

prune261.0ms (3.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	161	12	173

Error

0.0b

Counts

173 → 12

Alt Table

Status	Error	Program
	0.3b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
	0.7b	(/.f64 (-.f64 1 (.f64 (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x))) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.4b	(log.f64 (exp.f64 (/.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.3b	(-.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	1.1b	(/.f64 (log1p.f64 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	1.0b	(/.f64 (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
▶	0.3b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	0.3b	(/.f64 (*.f64 (+.f64 1 (tan.f64 x)) (-.f64 1 (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	14.9b	(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))
	0.3b	(/.f64 (/.f64 (-.f64 (pow.f64 1 3) (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 3)) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))

Compiler

Compiled 4615 to 2565 computations (44.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
	0.1b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
✓	0.2b	(log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))

series1.7s (20.9%)

Counts

1 → 12

Calls

1 calls:

1.7s	(log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 11

Calls

1 calls:

0.0ms

(log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

483×	`unswap-sqr_binary64`
472×	`distribute-rgt-neg-in_binary64`
431×	`distribute-lft-neg-in_binary64`
309×	`associate-l_binary64`
301×	`associate-r_binary64`

Counts

23 → 21

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	48	864
1	105	791
2	237	791
3	690	791
4	2888	703
5	4846	575
6	4878	575
7	4948	575

prune261.0ms (3.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	160	11	171

Error

0.0b

Counts

171 → 11

Alt Table

Status	Error	Program
	0.4b	(log.f64 (exp.f64 (/.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.3b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
	0.3b	(-.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	1.1b	(/.f64 (log1p.f64 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	1.0b	(/.f64 (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
	0.4b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	0.3b	(/.f64 (*.f64 (+.f64 1 (tan.f64 x)) (-.f64 1 (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	14.9b	(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))
	0.3b	(/.f64 (/.f64 (-.f64 (pow.f64 1 3) (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 3)) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))

Compiler

Compiled 3954 to 2061 computations (47.9% saved)

regimes897.0ms (10.8%)

Accuracy

Total 0.2b remaining (71.3%)

Threshold costs 0.2b (71.3%)

Counts

223 → 1

Compiler

Compiled 18314 to 10850 computations (40.8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
1×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	13	22
2	16	22
3	19	22
4	22	22
5	23	22
6	22	22

end169.0ms (2%)

Compiler: Compiled 287 to 163 computations (43.2% saved)

Details

analyze556.0ms (6.7%)

sample1.4s (17%)

simplify92.0ms (1.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series126.0ms (1.5%)

rewrite18.0ms (0.2%)

simplify99.0ms (1.2%)

prune238.0ms (2.9%)

localize8.0ms (0.1%)

series120.0ms (1.4%)

rewrite8.0ms (0.1%)

simplify113.0ms (1.4%)

prune224.0ms (2.7%)

localize11.0ms (0.1%)

series1.8s (21%)

rewrite1.0ms (0%)

simplify101.0ms (1.2%)

prune261.0ms (3.1%)

localize10.0ms (0.1%)

series1.7s (20.9%)

rewrite1.0ms (0%)

simplify95.0ms (1.1%)

prune261.0ms (3.1%)

regimes897.0ms (10.8%)

simplify4.0ms (0%)

end169.0ms (2%)

Profiling