Details

analyze635.0ms (8.2%)

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)

sample131.0ms (1.7%)

Algorithm

1×

intervals

Results

13.0ms	64×	body	1024	valid
8.0ms	147×	body	128	valid
6.0ms	31×	body	512	valid
1.0ms	14×	body	256	valid

Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify91.0ms (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

prune4.0ms (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)
✓	0.2b	(/.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))

series120.0ms (1.5%)

Counts

4 → 48

Calls

4 calls:

83.0ms	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
15.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) 1)
11.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
10.0ms	(-.f64 1 (*.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:

5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
4.0ms	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
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 → 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

prune226.0ms (2.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	149	11	160
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	151	11	162

Error

0.0b

Counts

162 → 11

Alt Table

Status	Error	Program
	0.4b	(/.f64 (-.f64 1 (cbrt.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	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))))
▶	0.3b	(*.f64 (+.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (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))))
	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))))
	15.2b	(exp.f64 (-.f64 (log1p.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (log1p.f64 (.f64 (tan.f64 x) (tan.f64 x)))))
	0.8b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (cbrt.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (hypot.f64 1 (tan.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (hypot.f64 1 (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 (.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))))
	0.5b	(*.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))))
	1.1b	(/.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))

Compiler

Compiled 4032 to 1908 computations (52.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series176.0ms (2.3%)

Counts

4 → 48

Calls

4 calls:

86.0ms	(*.f64 (+.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
75.0ms	(/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
8.0ms	(-.f64 1 (tan.f64 x))
7.0ms	(+.f64 1 (tan.f64 x))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`add-sqr-sqrt_binary64`
63×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
35×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`

Counts

4 → 140

Calls

4 calls:

10.0ms	(*.f64 (+.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
9.0ms	(-.f64 1 (tan.f64 x))
5.0ms	(/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
2.0ms	(+.f64 1 (tan.f64 x))

simplify179.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

659×	`fma-def_binary64`
577×	`distribute-rgt-in_binary64`
520×	`distribute-lft-in_binary64`
293×	`times-frac_binary64`
257×	`fma-neg_binary64`

Counts

188 → 196

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	4254
1	489	3944
2	1712	3790
3	4569	3790
4	4971	3790
5	4999	3790
6	4910	3790

prune349.0ms (4.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	192	4	196
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	197	10	207

Error

0.0b

Counts

207 → 10

Alt Table

Status	Error	Program
	0.4b	(*.f64 (+.f64 1 (tan.f64 x)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3)))
	0.8b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (cbrt.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (hypot.f64 1 (tan.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (hypot.f64 1 (tan.f64 x))))
▶	0.4b	(/.f64 (-.f64 1 (cbrt.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	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))))
	0.6b	(*.f64 (log.f64 (exp.f64 (+.f64 1 (tan.f64 x)))) (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	15.2b	(exp.f64 (-.f64 (log1p.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (log1p.f64 (.f64 (tan.f64 x) (tan.f64 x)))))
	0.8b	(.f64 (+.f64 1 (tan.f64 x)) (.f64 (/.f64 1 (*.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)))))
	0.8b	(.f64 (+.f64 1 (tan.f64 x)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 (tan.f64 x))) (cbrt.f64 (-.f64 1 (tan.f64 x)))) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (cbrt.f64 (-.f64 1 (tan.f64 x))))))
	1.1b	(/.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))

Compiler

Compiled 5606 to 3027 computations (46% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.3b	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	9.1b	(cbrt.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))

series55.0ms (0.7%)

Counts

3 → 36

Calls

3 calls:

25.0ms

(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))

19.0ms

(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))

10.0ms

(cbrt.f64 (*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))

rewrite149.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

779×	`pow1_binary64`
416×	`tan-quot_binary64`
342×	`pow-prod-up_binary64`
275×	`frac-times_binary64`
167×	`pow-prod-down_binary64`

Counts

3 → 430

Calls

3 calls:

32.0ms

(cbrt.f64 (*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))

31.0ms

(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))

9.0ms

(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))

simplify186.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

786×	`associate-/l*_binary64`
501×	`associate-*l/_binary64`
429×	`associate-/r*_binary64`
426×	`fma-def_binary64`
348×	`associate-*r/_binary64`

Counts

466 → 343

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	295	5953
1	351	4286
2	788	4070
3	1682	3946
4	4815	3922
5	4962	3922

prune816.0ms (10.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	469	0	469
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	469	10	479

Error

0.0b

Counts

479 → 10

Alt Table

Status	Error	Program
	0.4b	(*.f64 (+.f64 1 (tan.f64 x)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3)))
	0.8b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (cbrt.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (hypot.f64 1 (tan.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (hypot.f64 1 (tan.f64 x))))
✓	0.4b	(/.f64 (-.f64 1 (cbrt.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
▶	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))))
	0.6b	(*.f64 (log.f64 (exp.f64 (+.f64 1 (tan.f64 x)))) (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	15.2b	(exp.f64 (-.f64 (log1p.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (log1p.f64 (.f64 (tan.f64 x) (tan.f64 x)))))
	0.8b	(.f64 (+.f64 1 (tan.f64 x)) (.f64 (/.f64 1 (*.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)))))
	0.8b	(.f64 (+.f64 1 (tan.f64 x)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 (tan.f64 x))) (cbrt.f64 (-.f64 1 (tan.f64 x)))) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (cbrt.f64 (-.f64 1 (tan.f64 x))))))
	1.1b	(/.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))

Compiler

Compiled 15254 to 5027 computations (67% saved)

localize8.0ms (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))
✓	0.1b	(/.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)))

series294.0ms (3.8%)

Counts

3 → 36

Calls

3 calls:

147.0ms

(-.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)))

82.0ms

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

65.0ms

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

rewrite45.0ms (0.6%)

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)))

5.0ms

(/.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))

simplify301.0ms (3.9%)

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

prune581.0ms (7.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	285	3	288
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	288	10	298

Error

0.0b

Counts

298 → 10

Alt Table

Status	Error	Program
	0.4b	(*.f64 (+.f64 1 (tan.f64 x)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3)))
	0.8b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (cbrt.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (hypot.f64 1 (tan.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (hypot.f64 1 (tan.f64 x))))
✓	0.4b	(/.f64 (-.f64 1 (cbrt.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
	0.4b	(+.f64 (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 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (.f64 (tan.f64 x) (tan.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (*.f64 (tan.f64 x) (tan.f64 x)))))
	1.1b	(/.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	(expm1.f64 (log1p.f64 (.f64 (/.f64 1 (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 (tan.f64 x) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (tan.f64 x))))
	0.6b	(*.f64 (log.f64 (exp.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 (tan.f64 x)) (.f64 (/.f64 1 (*.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)))))
	0.8b	(.f64 (+.f64 1 (tan.f64 x)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 (tan.f64 x))) (cbrt.f64 (-.f64 1 (tan.f64 x)))) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (cbrt.f64 (-.f64 1 (tan.f64 x))))))

Compiler

Compiled 13924 to 6434 computations (53.8% saved)

regimes2.0s (25.9%)

Accuracy

Total 0.2b remaining (73.2%)

Threshold costs 0.2b (73.2%)

Counts

428 → 1

Compiler

Compiled 42606 to 25182 computations (40.9% saved)

simplify3.0ms (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

end1.0ms (0%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

sample1.2s (16%)

Algorithm

1×

intervals

Results

420.0ms	1991×	body	1024	valid
230.0ms	4455×	body	128	valid
156.0ms	1017×	body	512	valid
62.0ms	532×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 327 to 180 computations (45% saved)

Details

analyze635.0ms (8.2%)

sample131.0ms (1.7%)

simplify91.0ms (1.2%)

prune4.0ms (0%)

localize7.0ms (0.1%)

series120.0ms (1.5%)

rewrite17.0ms (0.2%)

simplify101.0ms (1.3%)

prune226.0ms (2.9%)

localize9.0ms (0.1%)

series176.0ms (2.3%)

rewrite36.0ms (0.5%)

simplify179.0ms (2.3%)

prune349.0ms (4.5%)

localize11.0ms (0.1%)

series55.0ms (0.7%)

rewrite149.0ms (1.9%)

simplify186.0ms (2.4%)

prune816.0ms (10.5%)

localize8.0ms (0.1%)

series294.0ms (3.8%)

rewrite45.0ms (0.6%)

simplify301.0ms (3.9%)

prune581.0ms (7.5%)

regimes2.0s (25.9%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.2s (16%)

Profiling