Metrics for tanhf (example 3.4)

analyze85.0ms (1.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample3.7s (77.5%)

Results

2.3s	2071×	body	2048	valid
854.0ms	4543×	body	256	valid
341.0ms	1037×	body	1024	valid
102.0ms	114×	body	4096	valid
81.0ms	489×	body	512	valid
3.0ms	2×	body	8192	valid

Bogosity

preprocess219.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def`
410×	`div-sub`
200×	`associate-/r*`
176×	`associate-/l*`
118×	`sub-neg`

Problems

107×	No Errors
89×	`(-.f64 1 (cos.f64 x))`
60×	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	41	60
2	66	56
3	140	56
4	323	56
5	730	56
6	1382	56
7	1766	56
8	1847	56
9	1924	56
10	1975	56
11	1987	56

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(tan.f64 (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(tan.f64 (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(tan.f64 (/.f64 (neg.f64 x) 2))
(tan.f64 (*.f64 -1/2 x))
(tan.f64 (*.f64 x -1/2))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x))))
(tan.f64 (/.f64 x 2))
(tan.f64 (*.f64 x 1/2))

Symmetry

(negabs x)

Compiler

Compiled 27 to 16 computations (40.7% saved)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(tan.f64 (/.f64 x 2))
▶	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 10 to 8 computations (20% saved)

localize25.0ms (0.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(tan.f64 (/.f64 x 2))
0.0ms	x	@	-inf	(tan.f64 (/.f64 x 2))
0.0ms	x	@	0	(tan.f64 (/.f64 x 2))

rewrite119.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`frac-times`
400×	`unpow-prod-down`
328×	`cbrt-prod`
324×	`log-prod`
314×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	76	14
2	867	14

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(tan.f64 (/.f64 x 2))

Outputs
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (tan.f64 (.f64 x 1/2)) (log.f64 (E.f64)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2)))
(.f64 (pow.f64 1 1/3) (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2) 1/3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 5)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (-.f64 (sin.f64 (+.f64 1 x)) (sin.f64 1)) (+.f64 (cos.f64 (+.f64 1 x)) (cos.f64 1)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(neg.f64 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(fabs.f64 (tan.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

926×	`associate-r`
814×	`associate-l`
736×	`associate-+r+`
732×	`associate-+l+`
676×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1671
1	291	1608
2	827	1586
3	4352	1586

Stop Event

1×	node limit

Counts

58 → 78

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (tan.f64 (.f64 x 1/2)) (log.f64 (E.f64)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2)))
(.f64 (pow.f64 1 1/3) (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2) 1/3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 5)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (-.f64 (sin.f64 (+.f64 1 x)) (sin.f64 1)) (+.f64 (cos.f64 (+.f64 1 x)) (cos.f64 1)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(neg.f64 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(fabs.f64 (tan.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(tan.f64 (*.f64 1/2 x))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(tan.f64 (*.f64 1/2 x))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(.f64 (tan.f64 (.f64 x 1/2)) (log.f64 (E.f64)))
(tan.f64 (*.f64 1/2 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2)))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 1 1/3) (tan.f64 (.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 1/2 x)) (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 8)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2) 1/3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 5/2)) (pow.f64 (tan.f64 (*.f64 1/2 x)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 1/2 x)) (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 8)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 5/2)) (pow.f64 (tan.f64 (*.f64 1/2 x)) 1/6))
(.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(tan.f64 (*.f64 1/2 x))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 5)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 5)))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 1/6) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 5/2))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (-.f64 (sin.f64 (+.f64 1 x)) (sin.f64 1)) (+.f64 (cos.f64 (+.f64 1 x)) (cos.f64 1)))
(tan.f64 (/.f64 (-.f64 (+.f64 x 1) 1) 2))
(tan.f64 (/.f64 (+.f64 x 0) 2))
(tan.f64 (/.f64 x 2))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (tan.f64 (.f64 1/2 x)) 2))) (cbrt.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))) (sqrt.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))) (sqrt.f64 (cos.f64 (.f64 1/2 x))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -1)
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 1/2 x))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 1/2 x)))))
(neg.f64 (tan.f64 (*.f64 x 1/2)))
(neg.f64 (tan.f64 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(tan.f64 (*.f64 1/2 x))
(fabs.f64 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 3))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) 2))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))

eval23.0ms (0.5%)

Compiler: Compiled 888 to 741 computations (16.6% saved)

prune11.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Accuracy

100.0%

Counts

79 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.1%	(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
▶	50.5%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))
▶	43.1%	(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
▶	50.5%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 36 to 30 computations (16.7% saved)

localize66.0ms (1.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(tan.f64 (*.f64 x 1/2))
✓	99.7%	(pow.f64 (tan.f64 (*.f64 x 1/2)) 3)
✓	69.6%	(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)

Compiler

Compiled 32 to 25 computations (21.9% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
2.0ms	x	@	inf	(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
1.0ms	x	@	0	(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
0.0ms	x	@	0	(pow.f64 (tan.f64 (*.f64 x 1/2)) 3)
0.0ms	x	@	inf	(pow.f64 (tan.f64 (*.f64 x 1/2)) 3)

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`unpow-prod-down`
428×	`log-prod`
372×	`cbrt-prod`
357×	`log1p-expm1-u`
357×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	107	48
2	1071	48

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (tan.f64 (*.f64 x 1/2)) 3)
(tan.f64 (*.f64 x 1/2))

Outputs
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 4) 1/6))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5) 1/6))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9/2) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) (pow.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) 3/2))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2) 1/3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8)) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5) 1/6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 4) 1/6) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9/2) 1/6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 3/2))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 3))
(exp.f64 (.f64 (.f64 6 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/6))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) 3/2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(+.f64 0 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))))
(-.f64 (+.f64 1 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1)
(.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4) 3/2))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 1)
(.f64 1 (pow.f64 (tan.f64 (.f64 x 1/2)) 3))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (tan.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2) 3/2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4) 3/2) (tan.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2) 3/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/4))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5)) 3/2) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9)) 1/3))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 7) 1/3) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8) 1/3) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 15/2) 1/3) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 7)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (cos.f64 (.f64 x 1/2)) 3))
(/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))) (cos.f64 (.f64 x 1/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (cos.f64 (.f64 x 1/2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 6))
(log.f64 (exp.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(exp.f64 (.f64 3 (log.f64 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (tan.f64 (*.f64 x 1/2)))) 3/2))
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 4) 1/6))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5) 1/6))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9/2) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) (pow.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) 3/2))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2) 1/3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8)) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5) 1/6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 4) 1/6) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9/2) 1/6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 3/2))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 3/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 6) 1/6)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9) 1/9)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2) 2/3)
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -1)
(pow.f64 (exp.f64 1/3) (.f64 3 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 3))
(exp.f64 (.f64 (.f64 6 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/6))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) 3/2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))

simplify115.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1164×	`fma-def`
698×	`sqr-pow`
580×	`associate-*r/`
488×	`exp-prod`
476×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	258	5911
1	545	5812
2	1470	5720
3	4771	5618

Stop Event

1×	node limit

Counts

170 → 155

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 3))
(+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 11/1920 (pow.f64 x 7)) (+.f64 (.f64 1/32 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (.f64 11/12096 (pow.f64 x 9)) (+.f64 (.f64 11/1920 (pow.f64 x 7)) (+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 4) 1/6))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5) 1/6))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9/2) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) (pow.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) 3/2))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2) 1/3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8)) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5) 1/6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 4) 1/6) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9/2) 1/6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 3/2))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 3))
(exp.f64 (.f64 (.f64 6 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/6))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) 3/2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(+.f64 0 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))))
(-.f64 (+.f64 1 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1)
(.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4) 3/2))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 1)
(.f64 1 (pow.f64 (tan.f64 (.f64 x 1/2)) 3))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (tan.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2) 3/2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4) 3/2) (tan.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2) 3/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/4))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5)) 3/2) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9)) 1/3))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 7) 1/3) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8) 1/3) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 15/2) 1/3) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 7)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (cos.f64 (.f64 x 1/2)) 3))
(/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))) (cos.f64 (.f64 x 1/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (cos.f64 (.f64 x 1/2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 6))
(log.f64 (exp.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(exp.f64 (.f64 3 (log.f64 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (tan.f64 (*.f64 x 1/2)))) 3/2))
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 4) 1/6))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5) 1/6))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9/2) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) (pow.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) 3/2))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2) 1/3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8)) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5) 1/6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 4) 1/6) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9/2) 1/6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 3/2))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 3/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 6) 1/6)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9) 1/9)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2) 2/3)
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -1)
(pow.f64 (exp.f64 1/3) (.f64 3 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 3))
(exp.f64 (.f64 (.f64 6 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/6))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) 3/2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/8)
(+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/32 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/8))
(fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 5) 1/32))
(+.f64 (.f64 11/1920 (pow.f64 x 7)) (+.f64 (.f64 1/32 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 11/1920 (pow.f64 x 7) (fma.f64 1/32 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/8)))
(fma.f64 (pow.f64 x 7) 11/1920 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 5) 1/32)))
(fma.f64 (pow.f64 x 5) 1/32 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 7) 11/1920)))
(fma.f64 (pow.f64 x 3) 1/8 (fma.f64 (pow.f64 x 5) 1/32 (*.f64 (pow.f64 x 7) 11/1920)))
(+.f64 (.f64 11/12096 (pow.f64 x 9)) (+.f64 (.f64 11/1920 (pow.f64 x 7)) (+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))))
(fma.f64 11/12096 (pow.f64 x 9) (fma.f64 11/1920 (pow.f64 x 7) (fma.f64 1/32 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/8))))
(fma.f64 11/12096 (pow.f64 x 9) (fma.f64 (pow.f64 x 7) 11/1920 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 5) 1/32))))
(fma.f64 11/12096 (pow.f64 x 9) (fma.f64 (pow.f64 x 5) 1/32 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 7) 11/1920))))
(fma.f64 11/12096 (pow.f64 x 9) (fma.f64 (pow.f64 x 3) 1/8 (fma.f64 (pow.f64 x 5) 1/32 (*.f64 (pow.f64 x 7) 11/1920))))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))) 3)
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))) 3)
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))) 3)
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))) 3)
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))) 3)
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))) 3)
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))) 3)
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))) 3)
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(tan.f64 (*.f64 1/2 x))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(tan.f64 (*.f64 1/2 x))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(tan.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 4) 1/6))
(.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) (pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 4) 1/6))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 1/6) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 5/2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5) 1/6))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 5) 1/6))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2)))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 1/6) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 5/2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9/2) 1/6))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 1/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 9/2) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) (pow.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 2) (cbrt.f64 (.f64 (tan.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 4))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 7)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 2) (cbrt.f64 (.f64 (tan.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 4))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 7)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) 3/2))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2) 1/3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 1/6) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 5/2)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8)) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 8))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5) 1/6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 5) 1/6))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 4) 1/6) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) (pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 4) 1/6))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9/2) 1/6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 1/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 9/2) 1/6))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 3/2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 4)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))) 2) 3/2))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 1/6) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 5/2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 8))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 8))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
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(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (tan.f64 (.f64 1/2 x)) 2))) (cbrt.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (tan.f64 (.f64 1/2 x)) 2))) (cbrt.f64 (cos.f64 (.f64 1/2 x))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 3/2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 6) 1/6)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9) 1/9)
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 9) 1/18) (pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 9) 1/18))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2) 2/3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -1)
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(pow.f64 (exp.f64 1/3) (.f64 3 (log.f64 (tan.f64 (.f64 x 1/2)))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 1/2 x))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(tan.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 3))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (.f64 6 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/6))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) 2))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) 3/2))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))

eval101.0ms (2.1%)

Compiler: Compiled 2215 to 1912 computations (13.7% saved)

prune19.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	155	3	158

Accuracy

100.0%

Counts

158 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.1%	(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
✓	50.5%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 41 to 33 computations (19.5% saved)

regimes8.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)

Outputs
(tan.f64 (/.f64 x 2))

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
50.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	12	24

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(tan.f64 (/.f64 x 2))
(*.f64 1/2 x)

Outputs
(tan.f64 (/.f64 x 2))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness113.0ms (2.4%)

Rules

750×	`fma-def`
410×	`div-sub`
200×	`associate-/r*`
176×	`associate-/l*`
118×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	41	60
2	66	56
3	140	56
4	323	56
5	730	56
6	1382	56
7	1766	56
8	1847	56
9	1924	56
10	1975	56
11	1987	56

Stop Event

1×

saturated

Compiler

Compiled 12 to 9 computations (25% saved)

end0.0ms (0%)

preprocess37.0ms (0.8%)

Remove: (negabs x)
Compiler: Compiled 72 to 56 computations (22.2% saved)

analyze85.0ms (1.8%)

sample3.7s (77.5%)

preprocess219.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize25.0ms (0.5%)

series2.0ms (0%)

rewrite119.0ms (2.5%)

simplify50.0ms (1.1%)

eval23.0ms (0.5%)

prune11.0ms (0.2%)

localize66.0ms (1.4%)

series7.0ms (0.1%)

rewrite63.0ms (1.3%)

simplify115.0ms (2.4%)

eval101.0ms (2.1%)

prune19.0ms (0.4%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

simplify2.0ms (0%)

soundness113.0ms (2.4%)

end0.0ms (0%)

preprocess37.0ms (0.8%)

Profiling