Details

analyze1.4s (10%)

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)

sample67.0ms (0.5%)

Algorithm

1×

intervals

Results

26.0ms	60×	body	1024	valid
15.0ms	148×	body	128	valid
10.0ms	32×	body	512	valid
3.0ms	16×	body	256	valid

Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify118.0ms (0.9%)

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

prune6.0ms (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)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`
10×	`difference-of-squares_binary64`

Counts

3 → 94

Calls

3 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
8.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
7.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

series249.0ms (1.8%)

Counts

3 → 36

Calls

3 calls:

174.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
38.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
37.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

simplify204.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

600×	`cancel-sign-sub-inv_binary64`
343×	`fma-def_binary64`
326×	`fma-neg_binary64`
297×	`associate-l_binary64`
246×	`associate-r_binary64`

Counts

130 → 217

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	2878
1	361	2545
2	965	2491
3	3217	2482
4	5230	2482

prune571.0ms (4.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	272	10	282
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	274	10	284

Error

0.0b

Counts

284 → 10

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))))
	0.5b	(/.f64 (cbrt.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 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	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x))))
▶	0.3b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	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 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (.f64 (tan.f64 x) (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (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 (-.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)))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 4993 to 2192 computations (56.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (sin.f64 x) 2)
✓	0.2b	(pow.f64 (sin.f64 x) 2)
	0.3b	(pow.f64 (cos.f64 x) 2)
✓	0.3b	(pow.f64 (cos.f64 x) 2)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow-unpow_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 40

Calls

2 calls:

3.0ms	(pow.f64 (sin.f64 x) 2)
3.0ms	(pow.f64 (cos.f64 x) 2)

series18.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

9.0ms	(pow.f64 (sin.f64 x) 2)
9.0ms	(pow.f64 (cos.f64 x) 2)

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

449×	`fma-def_binary64`
332×	`cancel-sign-sub-inv_binary64`
309×	`distribute-rgt-neg-in_binary64`
277×	`*-commutative_binary64`
277×	`distribute-lft-out_binary64`

Counts

48 → 79

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	477
1	163	381
2	374	379
3	1128	373
4	2703	373
5	4417	373
6	4900	373
7	4930	373

prune498.0ms (3.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	154	4	158
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	156	12	168

Error

0.0b

Counts

168 → 12

Alt Table

Status	Error	Program
	0.5b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))))
	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))))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (.f64 (tan.f64 x) (.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (tan.f64 x)))))
	0.6b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (pow.f64 (cos.f64 x) 2))))
▶	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 (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	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x))))
	0.7b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.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 (-.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)))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 4042 to 2663 computations (34.1% saved)

localize21.0ms (0.2%)

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 (*.f64 (tan.f64 x) (tan.f64 x)))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.3b	(log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`log-pow_binary64`
19×	`exp-prod_binary64`
15×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
15×	`add-sqr-sqrt_binary64`

Counts

2 → 44

Calls

2 calls:

11.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
1.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) 1)

series2.1s (15.5%)

Counts

2 → 24

Calls

2 calls:

2.0s	(log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
61.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) 1)

simplify201.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

421×	`fma-def_binary64`
368×	`associate-l_binary64`
341×	`unswap-sqr_binary64`
329×	`associate-r_binary64`
175×	`cancel-sign-sub-inv_binary64`

Counts

68 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1606
1	213	1513
2	428	1471
3	983	1469
4	3293	1469
5	4652	1469
6	4955	1469
7	4917	1469

prune632.0ms (4.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	288	4	292
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	292	12	304

Error

0.0b

Counts

304 → 12

Alt Table

Status	Error	Program
	0.5b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))))
	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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
	0.5b	(cbrt.f64 (.f64 (.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (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 (-.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)))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	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 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (log.f64 (exp.f64 (/.f64 (+.f64 1 (tan.f64 x)) 1))))
	0.8b	(.f64 (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (log.f64 (exp.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)))))))
	0.4b	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x))))
	0.7b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))
	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 4526 to 2341 computations (48.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
20×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
15×	`add-exp-log_binary64`

Counts

2 → 86

Calls

2 calls:

16.0ms	(.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
4.0ms	(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))

series335.0ms (2.5%)

Counts

2 → 24

Calls

2 calls:

194.0ms	(.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
141.0ms	(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))

simplify245.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-neg_binary64`
369×	`cancel-sign-sub-inv_binary64`
294×	`fma-def_binary64`
264×	`associate-l_binary64`
233×	`associate-r_binary64`

Counts

110 → 188

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	2905
1	317	2529
2	860	2453
3	2573	2387
4	4505	2259
5	4997	2259
6	4864	2259

prune806.0ms (6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	541	1	542
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	543	11	554

Error

0.0b

Counts

554 → 11

Alt Table

Status	Error	Program
	0.4b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
	0.5b	(cbrt.f64 (.f64 (.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (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 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	16.2b	(exp.f64 (+.f64 (log.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (log.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
✓	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 (-.f64 1 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (log.f64 (exp.f64 (/.f64 (+.f64 1 (tan.f64 x)) 1))))
	0.8b	(.f64 (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (log.f64 (exp.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)))))))
	0.4b	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x))))
	0.5b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))))
	0.7b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))
	0.4b	(/.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)))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 5272 to 2760 computations (47.6% saved)

regimes3.2s (24%)

Accuracy

Total 0.3b remaining (77.4%)

Threshold costs 0.3b (77.4%)

Compiler

Compiled 33204 to 20223 computations (39.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	23	47
2	27	47
3	29	47
4	28	47

end1.0ms (0%)

Compiler: Compiled 30 to 13 computations (56.7% saved)

sample2.6s (19.2%)

Algorithm

1×

intervals

Results

896.0ms	1963×	body	1024	valid
468.0ms	4579×	body	128	valid
322.0ms	968×	body	512	valid
107.0ms	487×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 382 to 227 computations (40.6% saved)

Details

analyze1.4s (10%)

sample67.0ms (0.5%)

simplify118.0ms (0.9%)

prune6.0ms (0%)

localize12.0ms (0.1%)

rewrite32.0ms (0.2%)

series249.0ms (1.8%)

simplify204.0ms (1.5%)

prune571.0ms (4.2%)

localize20.0ms (0.1%)

rewrite10.0ms (0.1%)

series18.0ms (0.1%)

simplify112.0ms (0.8%)

prune498.0ms (3.7%)

localize21.0ms (0.2%)

rewrite18.0ms (0.1%)

series2.1s (15.5%)

simplify201.0ms (1.5%)

prune632.0ms (4.7%)

localize17.0ms (0.1%)

rewrite32.0ms (0.2%)

series335.0ms (2.5%)

simplify245.0ms (1.8%)

prune806.0ms (6%)

regimes3.2s (24%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample2.6s (19.2%)

Profiling