Details

analyze775.0ms (9.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
25%	75%	0%	4
37.5%	62.5%	0%	5
43.7%	56.2%	0%	6
46.9%	53.1%	0%	7
48.4%	51.5%	0%	8
48.4%	51.5%	0%	9
48.4%	51.5%	0%	10
48.4%	51.5%	0%	11
48.5%	51.4%	0%	12
48.6%	51.4%	0%	13
48.6%	51.3%	0%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.8s (22.7%)

Results

782.0ms	2047×	body	1024	valid
510.0ms	4639×	body	128	valid
313.0ms	1058×	body	512	valid
109.0ms	505×	body	256	valid
3.0ms	7×	body	2048	valid

Compiler

Compiled 50 to 26 computations (48% saved)

simplify90.0ms (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))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	0.3b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))

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	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	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))
✓	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

series131.0ms (1.6%)

Counts

4 → 48

Calls

4 calls:

92.0ms	(/.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)
11.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
10.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite17.0ms (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)

simplify101.0ms (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 → 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

prune230.0ms (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
	0.8b	(/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (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)))) (cbrt.f64 (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))))
	0.9b	(/.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))
	0.4b	(/.f64 (-.f64 (.f64 1 1) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
	0.8b	(.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))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	17.4b	(/.f64 (exp.f64 (log1p.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (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))))
	0.4b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
	0.3b	(*.f64 (+.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	0.8b	(/.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.5b	(*.f64 (/.f64 (+.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) (/.f64 (-.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))
	0.4b	(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))))

Compiler

Compiled 3978 to 1909 computations (52% 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)
	0.2b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.3b	(log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))

series1.8s (22%)

Counts

1 → 12

Calls

1 calls:

1.8s	(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 (1.2%)

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

prune219.0ms (2.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	148	11	159

Error

0.0b

Counts

159 → 11

Alt Table

Status	Error	Program
	0.8b	(/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (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)))) (cbrt.f64 (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	(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 3)))
	0.4b	(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	17.4b	(/.f64 (exp.f64 (log1p.f64 (neg.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))
	0.4b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
▶	0.3b	(*.f64 (+.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	0.8b	(/.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.5b	(*.f64 (/.f64 (+.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) (/.f64 (-.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))
	0.4b	(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))))

Compiler

Compiled 3837 to 2029 computations (47.1% 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 1 (tan.f64 x))
✓	0.2b	(*.f64 (+.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
✓	0.2b	(/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))

series179.0ms (2.2%)

Counts

3 → 36

Calls

3 calls:

91.0ms	(*.f64 (+.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
81.0ms	(/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
7.0ms	(+.f64 1 (tan.f64 x))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`

Counts

3 → 109

Calls

3 calls:

11.0ms	(*.f64 (+.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
5.0ms	(/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
2.0ms	(+.f64 1 (tan.f64 x))

simplify147.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

525×	`distribute-rgt-in_binary64`
507×	`div-sub_binary64`
490×	`distribute-lft-in_binary64`
417×	`associate-l_binary64`
398×	`fma-def_binary64`

Counts

145 → 171

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	3767
1	438	3513
2	1410	3404
3	4217	3404
4	4695	3404
5	5814	3404

prune270.0ms (3.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	189	3	192
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	192	11	203

Error

0.0b

Counts

203 → 11

Alt Table

Status	Error	Program
	0.4b	(.f64 (log.f64 (.f64 (exp.f64 1) (exp.f64 (tan.f64 x)))) (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	0.6b	(*.f64 (+.f64 1 (tan.f64 x)) (log.f64 (exp.f64 (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
	0.4b	(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 3)))
	0.4b	(/.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	(log.f64 (exp.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 (/.f64 (exp.f64 1) (exp.f64 (*.f64 (tan.f64 x) (tan.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 (tan.f64 x)) (expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
	0.8b	(/.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.5b	(*.f64 (/.f64 (+.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) (/.f64 (-.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))
	0.4b	(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))))

Compiler

Compiled 5351 to 2993 computations (44.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series178.0ms (2.2%)

Counts

2 → 24

Calls

2 calls:

91.0ms	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
87.0ms	(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))

rewrite28.0ms (0.3%)

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)))))
5.0ms	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

simplify198.0ms (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

prune413.0ms (5.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	279	11	290

Error

0.0b

Counts

290 → 11

Alt Table

Status	Error	Program
	0.4b	(.f64 (log.f64 (.f64 (exp.f64 1) (exp.f64 (tan.f64 x)))) (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	0.6b	(*.f64 (+.f64 1 (tan.f64 x)) (log.f64 (exp.f64 (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
	0.4b	(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 3)))
	0.4b	(/.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	(log.f64 (exp.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 (/.f64 (exp.f64 1) (exp.f64 (*.f64 (tan.f64 x) (tan.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 (tan.f64 x)) (expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
	0.8b	(/.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.5b	(*.f64 (/.f64 (+.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) (/.f64 (-.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))
	0.4b	(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))))

Compiler

Compiled 7912 to 4152 computations (47.5% saved)

regimes1.1s (14.2%)

Accuracy

Total 0.2b remaining (75.2%)

Threshold costs 0.2b (75.2%)

Counts

275 → 1

Compiler

Compiled 24414 to 14654 computations (40% 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

end167.0ms (2.1%)

Compiler: Compiled 261 to 152 computations (41.8% saved)

Details

analyze775.0ms (9.6%)

sample1.8s (22.7%)

simplify90.0ms (1.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series131.0ms (1.6%)

rewrite17.0ms (0.2%)

simplify101.0ms (1.3%)

prune230.0ms (2.9%)

localize11.0ms (0.1%)

series1.8s (22%)

rewrite1.0ms (0%)

simplify95.0ms (1.2%)

prune219.0ms (2.7%)

localize8.0ms (0.1%)

series179.0ms (2.2%)

rewrite27.0ms (0.3%)

simplify147.0ms (1.8%)

prune270.0ms (3.4%)

localize10.0ms (0.1%)

series178.0ms (2.2%)

rewrite28.0ms (0.3%)

simplify198.0ms (2.5%)

prune413.0ms (5.1%)

regimes1.1s (14.2%)

simplify2.0ms (0%)

end167.0ms (2.1%)

Profiling