Details

analyze736.0ms (7.3%)

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 (17.9%)

Results

805.0ms	2134×	body	1024	valid
490.0ms	4559×	body	128	valid
294.0ms	1055×	body	512	valid
101.0ms	502×	body	256	valid
3.0ms	6×	body	2048	valid

Compiler

Compiled 50 to 26 computations (48% saved)

simplify91.0ms (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

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)

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	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.2b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))

series113.0ms (1.1%)

Counts

4 → 48

Calls

4 calls:

80.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
12.0ms	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
11.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
10.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite19.0ms (0.2%)

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)))

simplify133.0ms (1.3%)

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

prune350.0ms (3.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	224	11	235
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	226	11	237

Error

0.0b

Counts

237 → 11

Alt Table

Status	Error	Program
	0.6b	(/.f64 (log.f64 (exp.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 (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))))
	0.4b	(.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))))
	0.7b	(.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))))
▶	0.3b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
	0.7b	(/.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	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3))
	0.7b	(.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 (*.f64 (tan.f64 x) (tan.f64 x))) (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))))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (cbrt.f64 (.f64 (tan.f64 x) (tan.f64 x))))))
	0.4b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))

Compiler

Compiled 5828 to 2577 computations (55.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (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	(log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))

series1.8s (18%)

Counts

3 → 36

Calls

3 calls:

1.7s

(log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))

83.0ms

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

83.0ms

(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

4.0ms

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

4.0ms

(log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))

0.0ms

(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))

simplify133.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

668×	`fma-neg_binary64`
422×	`cancel-sign-sub-inv_binary64`
339×	`distribute-rgt-in_binary64`
285×	`distribute-lft-in_binary64`
214×	`fma-def_binary64`

Counts

98 → 119

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	134	3247
1	283	2827
2	715	2817
3	2030	2815
4	4496	2687
5	4994	2687
6	4947	2687

prune299.0ms (3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	161	11	172

Error

0.0b

Counts

172 → 11

Alt Table

Status	Error	Program
	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))))
	0.7b	(.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))))
	0.4b	(expm1.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
	0.7b	(/.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	(expm1.f64 (log1p.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 (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))))
	0.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3))
	0.7b	(.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 (*.f64 (tan.f64 x) (tan.f64 x))) (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))))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (cbrt.f64 (.f64 (tan.f64 x) (tan.f64 x))))))
	0.4b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))

Compiler

Compiled 4383 to 2480 computations (43.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series149.0ms (1.5%)

Counts

4 → 16

Calls

4 calls:

115.0ms	(/.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))))
27.0ms	(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
3.0ms	(pow.f64 (sin.f64 x) 2)
3.0ms	(pow.f64 (cos.f64 x) 2)

rewrite119.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

376×	`times-frac_binary64`
343×	`add-sqr-sqrt_binary64`
261×	`*-un-lft-identity_binary64`
170×	`difference-of-squares_binary64`
140×	`unpow-prod-down_binary64`

Counts

4 → 355

Calls

4 calls:

48.0ms	(/.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))))
6.0ms	(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
2.0ms	(pow.f64 (sin.f64 x) 2)
2.0ms	(pow.f64 (cos.f64 x) 2)

simplify350.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

851×	`times-frac_binary64`
511×	`associate-/l*_binary64`
337×	`associate-/l/_binary64`
312×	`fma-def_binary64`
142×	`fma-neg_binary64`

Counts

371 → 417

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	421	17589
1	714	13717
2	1550	12960
3	4447	12940
4	4974	12940

prune1.2s (11.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	604	2	606
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	607	10	617

Error

0.0b

Counts

617 → 10

Alt Table

Status	Error	Program
	0.4b	(expm1.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
	0.7b	(/.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	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))
	0.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3))
✓	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 (/.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))))
	0.7b	(.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 (*.f64 (tan.f64 x) (tan.f64 x))) (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))))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (cbrt.f64 (.f64 (tan.f64 x) (tan.f64 x))))))
▶	0.4b	(/.f64 (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))

Compiler

Compiled 22273 to 14417 computations (35.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
✓	0.2b	(/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))
	0.2b	(pow.f64 (cos.f64 x) 2)
	0.3b	(pow.f64 (sin.f64 x) 2)

series144.0ms (1.4%)

Counts

2 → 24

Calls

2 calls:

115.0ms

(/.f64 (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))

28.0ms

(/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))

rewrite102.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

334×	`times-frac_binary64`
273×	`add-sqr-sqrt_binary64`
187×	`*-un-lft-identity_binary64`
113×	`add-cube-cbrt_binary64`
60×	`difference-of-squares_binary64`

Counts

2 → 237

Calls

2 calls:

53.0ms

(/.f64 (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))

7.0ms

(/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))

simplify301.0ms (3%)

Algorithm

1×	egg-herbie

Rules

453×	`*-commutative_binary64`
320×	`unswap-sqr_binary64`
285×	`fma-neg_binary64`
281×	`fma-def_binary64`
274×	`associate-/l/_binary64`

Counts

261 → 341

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	406	12162
1	840	9993
2	2331	9266
3	3386	9130
4	4665	9130
5	4975	9130

prune728.0ms (7.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	432	0	432
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	432	10	442

Error

0.0b

Counts

442 → 10

Alt Table

Status	Error	Program
	0.4b	(expm1.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
	0.7b	(/.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	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))
	0.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3))
✓	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 (/.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))))
	0.7b	(.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 (*.f64 (tan.f64 x) (tan.f64 x))) (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))))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (cbrt.f64 (.f64 (tan.f64 x) (tan.f64 x))))))
✓	0.4b	(/.f64 (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))

Compiler

Compiled 16249 to 9210 computations (43.3% saved)

regimes1.3s (13.3%)

Accuracy

Total 0.2b remaining (67%)

Threshold costs 0.2b (67%)

Counts

296 → 1

Compiler

Compiled 28707 to 17693 computations (38.4% 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

end152.0ms (1.5%)

Compiler: Compiled 273 to 148 computations (45.8% saved)

Details

analyze736.0ms (7.3%)

sample1.8s (17.9%)

simplify91.0ms (0.9%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series113.0ms (1.1%)

rewrite19.0ms (0.2%)

simplify133.0ms (1.3%)

prune350.0ms (3.5%)

localize11.0ms (0.1%)

series1.8s (18%)

rewrite11.0ms (0.1%)

simplify133.0ms (1.3%)

prune299.0ms (3%)

localize9.0ms (0.1%)

series149.0ms (1.5%)

rewrite119.0ms (1.2%)

simplify350.0ms (3.5%)

prune1.2s (11.5%)

localize12.0ms (0.1%)

series144.0ms (1.4%)

rewrite102.0ms (1%)

simplify301.0ms (3%)

prune728.0ms (7.2%)

regimes1.3s (13.3%)

simplify2.0ms (0%)

end152.0ms (1.5%)

Profiling