Details

analyze716.0ms (10.8%)

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 (26.1%)

Results

758.0ms	2092×	body	1024	valid
481.0ms	4668×	body	128	valid
272.0ms	993×	body	512	valid
97.0ms	496×	body	256	valid
3.0ms	7×	body	2048	valid

Compiler

Compiled 50 to 26 computations (48% saved)

simplify90.0ms (1.4%)

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 (0.1%)

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)))
✓	0.2b	(/.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))

series112.0ms (1.7%)

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

rewrite18.0ms (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)))

simplify124.0ms (1.9%)

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

prune325.0ms (4.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	223	12	235
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	225	12	237

Error

0.0b

Counts

237 → 12

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 (+.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)))
	0.7b	(/.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))))) (cbrt.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.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 (tan.f64 x)) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x))))
	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	(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.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))))))
	0.7b	(.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (cbrt.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
▶	0.3b	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	0.5b	(/.f64 (-.f64 1 (expm1.f64 (log1p.f64 (.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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.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)))))

Compiler

Compiled 5901 to 2615 computations (55.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (tan.f64 x) (tan.f64 x) 1)
✓	0.2b	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
✓	0.3b	(fma.f64 (tan.f64 x) (tan.f64 x) -1)

series128.0ms (1.9%)

Counts

3 → 36

Calls

3 calls:

98.0ms	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
15.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) 1)
15.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) -1)

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`times-frac_binary64`
26×	`*-un-lft-identity_binary64`
26×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64`
12×	`distribute-lft-neg-in_binary64`

Counts

3 → 77

Calls

3 calls:

3.0ms	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
0.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) -1)
0.0ms	(fma.f64 (tan.f64 x) (tan.f64 x) 1)

simplify116.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1007×	`div-sub_binary64`
732×	`fma-def_binary64`
452×	`fma-neg_binary64`
249×	`cancel-sign-sub-inv_binary64`
189×	`associate-/r*_binary64`

Counts

113 → 138

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	3188
1	290	3046
2	762	2949
3	2228	2939
4	4348	2939
5	6050	2939

prune198.0ms (3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	139	11	150

Error

0.0b

Counts

150 → 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 (+.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)))
	0.7b	(/.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))))) (cbrt.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.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 (tan.f64 x)) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x))))
	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))))
	0.5b	(/.f64 (-.f64 1 (expm1.f64 (log1p.f64 (.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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
▶	0.4b	(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
	0.4b	(/.f64 1 (/.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (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) 6))) (+.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))))))

Compiler

Compiled 3862 to 2001 computations (48.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 (tan.f64 x) (tan.f64 x) 1)
	0.2b	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
	0.3b	(fma.f64 (tan.f64 x) (tan.f64 x) -1)
✓	0.6b	(expm1.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))

series109.0ms (1.6%)

Counts

1 → 12

Calls

1 calls:

108.0ms

(expm1.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`log1p-expm1-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

(expm1.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))

simplify97.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

474×	`associate-l_binary64`
445×	`fma-def_binary64`
398×	`cancel-sign-sub-inv_binary64`
370×	`associate-r_binary64`
335×	`unswap-sqr_binary64`

Counts

23 → 22

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	744
1	125	687
2	308	677
3	907	660
4	3609	660
5	4873	660
6	4954	660
7	4943	660

prune226.0ms (3.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	161	10	171

Error

0.0b

Counts

171 → 10

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 (+.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)))
	0.5b	(/.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 (tan.f64 x)) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x))))
	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))))
	0.5b	(/.f64 (-.f64 1 (expm1.f64 (log1p.f64 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	0.4b	(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
	0.5b	(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))
▶	0.4b	(/.f64 1 (/.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (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) 6))) (+.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))))))

Compiler

Compiled 4506 to 2505 computations (44.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series191.0ms (2.9%)

Counts

2 → 24

Calls

2 calls:

96.0ms	(/.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (fma.f64 (tan.f64 x) (tan.f64 x) -1))
95.0ms	(/.f64 1 (/.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (fma.f64 (tan.f64 x) (tan.f64 x) -1)))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

252×	`times-frac_binary64`
140×	`*-un-lft-identity_binary64`
140×	`add-sqr-sqrt_binary64`
140×	`add-cube-cbrt_binary64`
48×	`distribute-lft-neg-in_binary64`

Counts

2 → 221

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (fma.f64 (tan.f64 x) (tan.f64 x) -1)))
3.0ms	(/.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (fma.f64 (tan.f64 x) (tan.f64 x) -1))

simplify225.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

800×	`times-frac_binary64`
712×	`fma-def_binary64`
336×	`associate-/r*_binary64`
315×	`associate-/l*_binary64`
278×	`associate-/r/_binary64`

Counts

245 → 304

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	9969
1	418	9240
2	1214	8872
3	4084	8872
4	4955	8872

prune480.0ms (7.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	343	1	344
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	343	11	354

Error

0.0b

Counts

354 → 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 (+.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)))
	0.5b	(/.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 (tan.f64 x)) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x))))
	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))))
	0.5b	(/.f64 (-.f64 1 (expm1.f64 (log1p.f64 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(log.f64 (exp.f64 (/.f64 1 (/.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (fma.f64 (tan.f64 x) (tan.f64 x) -1)))))
✓	0.4b	(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))
	0.5b	(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))
✓	0.4b	(/.f64 1 (/.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (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) 6))) (+.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))))))

Compiler

Compiled 10662 to 5993 computations (43.8% saved)

regimes1.5s (22.3%)

Accuracy

Total 0.2b remaining (74.4%)

Threshold costs 0.2b (74.4%)

Counts

349 → 1

Compiler

Compiled 32552 to 19239 computations (40.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
1×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	15	22
2	18	22
3	21	22
4	24	22
5	25	22
6	22	22

end160.0ms (2.4%)

Compiler: Compiled 275 to 154 computations (44% saved)

Details

analyze716.0ms (10.8%)

sample1.7s (26.1%)

simplify90.0ms (1.4%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

series112.0ms (1.7%)

rewrite18.0ms (0.3%)

simplify124.0ms (1.9%)

prune325.0ms (4.9%)

localize9.0ms (0.1%)

series128.0ms (1.9%)

rewrite9.0ms (0.1%)

simplify116.0ms (1.8%)

prune198.0ms (3%)

localize11.0ms (0.2%)

series109.0ms (1.6%)

rewrite1.0ms (0%)

simplify97.0ms (1.5%)

prune226.0ms (3.4%)

localize10.0ms (0.1%)

series191.0ms (2.9%)

rewrite39.0ms (0.6%)

simplify225.0ms (3.4%)

prune480.0ms (7.3%)

regimes1.5s (22.3%)

simplify2.0ms (0%)

end160.0ms (2.4%)

Profiling