Details

analyze787.0ms (10.5%)

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)

sample1.8s (23.9%)

Results

805.0ms	2121×	body	1024	valid
501.0ms	4664×	body	128	valid
277.0ms	972×	body	512	valid
99.0ms	494×	body	256	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 50 to 26 computations (48% saved)

simplify94.0ms (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

0.4b

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)

localize8.0ms (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)))
✓	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

series133.0ms (1.8%)

Counts

4 → 48

Calls

4 calls:

96.0ms	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
17.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) 1)
10.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
9.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite15.0ms (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))
2.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) 1)

simplify98.0ms (1.3%)

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 → 160

Iterations

Useful iterations: 3 (0.0ms)

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

prune220.0ms (2.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	150	10	160
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	152	10	162

Error

0.1b

Counts

162 → 10

Alt Table

Status	Error	Program
	0.4b	(-.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	(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.9b	(/.f64 (log.f64 (/.f64 (exp.f64 1) (exp.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	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))
	0.5b	(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.4b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
▶	0.3b	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (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))))
	0.8b	(.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))))
	0.9b	(.f64 (/.f64 (+.f64 1 (tan.f64 x)) (.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))

Compiler

Compiled 3926 to 1858 computations (52.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series110.0ms (1.5%)

Counts

2 → 24

Calls

2 calls:

96.0ms	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
14.0ms	(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)

simplify110.0ms (1.5%)

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

prune198.0ms (2.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	139	10	149

Error

0.0b

Counts

149 → 10

Alt Table

Status	Error	Program
	0.8b	(.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))))
	0.9b	(/.f64 (log.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	0.9b	(/.f64 (log.f64 (/.f64 (exp.f64 1) (exp.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	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))
	0.5b	(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.4b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 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 (*.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)))
	0.5b	(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))))
	0.9b	(.f64 (/.f64 (+.f64 1 (tan.f64 x)) (.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))

Compiler

Compiled 3852 to 1976 computations (48.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
✓	0.2b	(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.4b	(-.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)))

series279.0ms (3.7%)

Counts

3 → 36

Calls

3 calls:

138.0ms

(-.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)))

79.0ms

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

62.0ms

(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

134×	`times-frac_binary64`
111×	`add-sqr-sqrt_binary64`
105×	`*-un-lft-identity_binary64`
97×	`add-cube-cbrt_binary64`
91×	`prod-diff_binary64`

Counts

3 → 196

Calls

3 calls:

10.0ms

(-.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)))

4.0ms

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

2.0ms

(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))

simplify303.0ms (4%)

Algorithm

1×	egg-herbie

Rules

732×	`times-frac_binary64`
589×	`fma-def_binary64`
492×	`associate-/l*_binary64`
275×	`fma-neg_binary64`
198×	`cancel-sign-sub-inv_binary64`

Counts

232 → 246

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	13231
1	494	9258
2	1484	6847
3	4259	6846
4	4816	6846
5	4997	6846
6	4867	6846

prune539.0ms (7.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	287	1	288
Fresh	0	8	8
Picked	0	1	1
Done	1	0	1
Total	288	10	298

Error

0.0b

Counts

298 → 10

Alt Table

Status	Error	Program
	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	(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 (tan.f64 x) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	0.8b	(.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))))
	0.9b	(/.f64 (log.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	0.9b	(/.f64 (log.f64 (/.f64 (exp.f64 1) (exp.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.5b	(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
▶	0.4b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 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 (*.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))))
	0.9b	(.f64 (/.f64 (+.f64 1 (tan.f64 x)) (.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))

Compiler

Compiled 14162 to 6551 computations (53.7% 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 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.2b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.2b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

series158.0ms (2.1%)

Counts

2 → 24

Calls

2 calls:

79.0ms	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
79.0ms	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
86×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
70×	`add-cube-cbrt_binary64`
32×	`difference-of-squares_binary64`

Counts

2 → 149

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
3.0ms	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

simplify188.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

669×	`fma-neg_binary64`
439×	`distribute-rgt-in_binary64`
411×	`distribute-lft-in_binary64`
248×	`cancel-sign-sub-inv_binary64`
244×	`fma-def_binary64`

Counts

173 → 216

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	6510
1	342	5741
2	931	5599
3	2419	5597
4	4850	5597
5	5287	5597

prune472.0ms (6.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	293	10	303

Error

0.0b

Counts

303 → 10

Alt Table

Status	Error	Program
	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	(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 (tan.f64 x) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	0.9b	(/.f64 (log.f64 (/.f64 (exp.f64 1) (exp.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.5b	(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
✓	0.4b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 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 (*.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))))
	0.9b	(/.f64 (log.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	0.5b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (/.f64 (-.f64 (.f64 1 1) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
	0.9b	(.f64 (/.f64 (+.f64 1 (tan.f64 x)) (.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))

Compiler

Compiled 8289 to 4315 computations (47.9% saved)

regimes1.7s (23.1%)

Accuracy

Total 0.2b remaining (73.8%)

Threshold costs 0.2b (73.8%)

Counts

379 → 1

Compiler

Compiled 38498 to 22162 computations (42.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	13	22
2	15	22
3	16	22
4	15	22

end157.0ms (2.1%)

Compiler: Compiled 292 to 154 computations (47.3% saved)

Details

analyze787.0ms (10.5%)

sample1.8s (23.9%)

simplify94.0ms (1.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series133.0ms (1.8%)

rewrite15.0ms (0.2%)

simplify98.0ms (1.3%)

prune220.0ms (2.9%)

localize9.0ms (0.1%)

series110.0ms (1.5%)

rewrite8.0ms (0.1%)

simplify110.0ms (1.5%)

prune198.0ms (2.6%)

localize10.0ms (0.1%)

series279.0ms (3.7%)

rewrite49.0ms (0.7%)

simplify303.0ms (4%)

prune539.0ms (7.2%)

localize8.0ms (0.1%)

series158.0ms (2.1%)

rewrite27.0ms (0.4%)

simplify188.0ms (2.5%)

prune472.0ms (6.3%)

regimes1.7s (23.1%)

simplify2.0ms (0%)

end157.0ms (2.1%)

Profiling