Details

analyze725.0ms (10.2%)

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 (24.7%)

Results

747.0ms	2041×	body	1024	valid
488.0ms	4633×	body	128	valid
286.0ms	1037×	body	512	valid
109.0ms	536×	body	256	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 50 to 26 computations (48% saved)

simplify91.0ms (1.3%)

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)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.1b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.1b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

series89.0ms (1.3%)

Counts

4 → 48

Calls

4 calls:

61.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
10.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
9.0ms	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
9.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`
11×	`pow1_binary64`

Counts

4 → 110

Calls

4 calls:

5.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
4.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
2.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
2.0ms	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

simplify128.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-neg_binary64`
403×	`fma-def_binary64`
313×	`associate-l_binary64`
256×	`associate-r_binary64`
212×	`unswap-sqr_binary64`

Counts

158 → 193

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	3279
1	388	2886
2	1039	2821
3	3460	2814
4	4989	2814
5	5307	2814

prune370.0ms (5.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	222	13	235
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	224	13	237

Error

0.0b

Counts

237 → 13

Alt Table

Status	Error	Program
	0.7b	(.f64 (/.f64 (+.f64 1 (tan.f64 x)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (cbrt.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
	0.8b	(/.f64 (-.f64 1 (.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (+.f64 (fma.f64 1 1 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (.f64 (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x))) (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x)))) (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x))))))
▶	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))
	0.3b	(/.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)))
	0.4b	(log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	0.3b	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.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))))
	0.3b	(/.f64 (-.f64 (.f64 1 1) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
	0.4b	(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 5906 to 2603 computations (55.9% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.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))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

series70.0ms (1%)

Counts

2 → 24

Calls

2 calls:

60.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))
10.0ms	(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64`

Counts

2 → 56

Calls

2 calls:

7.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))
4.0ms	(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)

simplify118.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

556×	`fma-neg_binary64`
480×	`distribute-rgt-in_binary64`
294×	`cancel-sign-sub-inv_binary64`
269×	`fma-def_binary64`
198×	`div-sub_binary64`

Counts

80 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	2185
1	306	1964
2	749	1947
3	2267	1947
4	4606	1947
5	4992	1947
6	4937	1947

prune388.0ms (5.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	230	1	231
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	231	13	244

Error

0.0b

Counts

244 → 13

Alt Table

Status	Error	Program
	0.7b	(.f64 (/.f64 (+.f64 1 (tan.f64 x)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (cbrt.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
	0.8b	(/.f64 (-.f64 1 (.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	0.3b	(/.f64 (+.f64 (fma.f64 1 1 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (.f64 (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x))) (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x)))) (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x))))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))
	0.3b	(/.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)))
	0.4b	(log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	0.3b	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.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))))
	0.3b	(/.f64 (-.f64 (.f64 1 1) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))

Compiler

Compiled 5815 to 2558 computations (56% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 1 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
✓	0.1b	(/.f64 (+.f64 (fma.f64 1 1 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	44.2b	(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))

series123.0ms (1.7%)

Counts

3 → 36

Calls

3 calls:

80.0ms

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

33.0ms

(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))

10.0ms

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

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 57

Calls

3 calls:

5.0ms

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

0.0ms

(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))

0.0ms

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

simplify162.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

413×	`cancel-sign-sub-inv_binary64`
317×	`fma-neg_binary64`
309×	`distribute-rgt-in_binary64`
299×	`times-frac_binary64`
289×	`sub-neg_binary64`

Counts

93 → 112

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	126	3439
1	303	2608
2	826	1843
3	1970	1837
4	4116	1699
5	4650	1699
6	5000	1699
7	5000	1699
8	4730	1699

prune475.0ms (6.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	236	2	238
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	238	13	251

Error

0.0b

Counts

251 → 13

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 (+.f64 (fma.f64 1 1 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (.f64 (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x))) (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x)))) (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x))))))
	0.4b	(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.3b	(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.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))))
	0.4b	(/.f64 (+.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))
▶	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 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.7b	(.f64 (/.f64 (+.f64 1 (tan.f64 x)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (cbrt.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
	0.3b	(/.f64 (-.f64 (.f64 1 1) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.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)))

Compiler

Compiled 8933 to 3183 computations (64.4% saved)

localize8.0ms (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))

series143.0ms (2%)

Counts

3 → 36

Calls

3 calls:

65.0ms

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

64.0ms

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

14.0ms

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

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 159

Calls

3 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))))

0.0ms

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

simplify187.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

669×	`fma-neg_binary64`
439×	`distribute-rgt-in_binary64`
283×	`fma-def_binary64`
248×	`cancel-sign-sub-inv_binary64`
203×	`times-frac_binary64`

Counts

195 → 236

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	6829
1	365	6026
2	989	5882
3	2549	5880
4	4557	5880
5	4994	5880

prune556.0ms (7.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	278	13	291

Error

0.0b

Counts

291 → 13

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 (+.f64 (fma.f64 1 1 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (.f64 (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x))) (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x)))) (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x))))))
	0.4b	(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.3b	(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.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))))
	0.4b	(/.f64 (+.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))
✓	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 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.7b	(.f64 (/.f64 (+.f64 1 (tan.f64 x)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (cbrt.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
	0.3b	(/.f64 (-.f64 (.f64 1 1) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.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)))

Compiler

Compiled 7990 to 4177 computations (47.7% saved)

regimes1.4s (20.1%)

Accuracy

Total 0.2b remaining (76.6%)

Threshold costs 0.2b (76.6%)

Counts

331 → 1

Compiler

Compiled 33870 to 19272 computations (43.1% 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

end182.0ms (2.6%)

Compiler: Compiled 360 to 189 computations (47.5% saved)

Details

analyze725.0ms (10.2%)

sample1.7s (24.7%)

simplify91.0ms (1.3%)

prune3.0ms (0%)

localize6.0ms (0.1%)

series89.0ms (1.3%)

rewrite20.0ms (0.3%)

simplify128.0ms (1.8%)

prune370.0ms (5.2%)

localize6.0ms (0.1%)

series70.0ms (1%)

rewrite14.0ms (0.2%)

simplify118.0ms (1.7%)

prune388.0ms (5.5%)

localize11.0ms (0.2%)

series123.0ms (1.7%)

rewrite11.0ms (0.2%)

simplify162.0ms (2.3%)

prune475.0ms (6.7%)

localize8.0ms (0.1%)

series143.0ms (2%)

rewrite29.0ms (0.4%)

simplify187.0ms (2.6%)

prune556.0ms (7.8%)

regimes1.4s (20.1%)

simplify2.0ms (0%)

end182.0ms (2.6%)

Profiling