Metrics for Linear.Quaternion:$csin from linear-1.19.1.3

analyze18.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample2.3s (38.2%)

Results

668.0ms	2678×	body	256	valid
459.0ms	2510×	body	256	infinite
437.0ms	1053×	body	1024	valid
417.0ms	1003×	body	1024	infinite
139.0ms	529×	body	512	valid
123.0ms	478×	body	512	infinite
4.0ms	5×	body	2048	valid

Bogosity

preprocess241.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1576×	`div-sub`
1272×	`times-frac`
944×	`fma-neg`
914×	`distribute-lft-neg-in`
836×	`distribute-rgt-neg-in`

Problems

256×

No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	150
1	51	150
2	117	150
3	332	150
4	1093	150
5	4801	150

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) (/.f64 x (cos.f64 y)))

Symmetry

(abs x)

(abs y)

Compiler

Compiled 29 to 13 computations (55.2% saved)

eval1.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize93.0ms (1.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	100.0%	(sinh.f64 y)
✓	100.0%	(cos.f64 x)

Compiler

Compiled 20 to 7 computations (65% saved)

series19.0ms (0.3%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	y	@	inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	x	@	inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	x	@	0	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	y	@	inf	(sinh.f64 y)

rewrite198.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`unpow-prod-down`
718×	`log-prod`
670×	`log1p-expm1-u`
670×	`expm1-log1p-u`
490×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	135	46
2	1755	46

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs
(cos.f64 x)
(sinh.f64 y)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Outputs
(+.f64 0 (cos.f64 x))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(*.f64 (cos.f64 x) 1)
(*.f64 (cos.f64 x) (log.f64 (exp.f64 1)))
(*.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(+.f64 0 (sinh.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(-.f64 (.f64 (sinh.f64 (exp.f64 (log1p.f64 y))) (cosh.f64 1)) (.f64 (cosh.f64 (exp.f64 (log1p.f64 y))) (sinh.f64 1)))
(*.f64 (sinh.f64 y) 1)
(*.f64 (sinh.f64 y) (log.f64 (exp.f64 1)))
(.f64 (.f64 2 (sinh.f64 y)) 1/2)
(*.f64 1 (sinh.f64 y))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 1 1/3) (sinh.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (sinh.f64 y) (cbrt.f64 (sinh.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 y) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
(pow.f64 (sinh.f64 y) 1)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(pow.f64 (pow.f64 (sinh.f64 y) 2) 1/2)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(pow.f64 (/.f64 2 (*.f64 2 (sinh.f64 y))) -1)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(log.f64 (exp.f64 (sinh.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y))))
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sinh.f64 y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (sinh.f64 y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sinh.f64 y))) 2))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(+.f64 0 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1)
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (cos.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) 1) y)
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2)
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) -1)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))

simplify190.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

776×	`log-prod`
526×	`associate-r`
520×	`cube-prod`
472×	`cancel-sign-sub-inv`
458×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	4151
1	818	4002
2	3597	3974

Stop Event

1×	node limit

Counts

149 → 179

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))
(+.f64 y (+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))))
(+.f64 (cos.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (cos.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(+.f64 0 (cos.f64 x))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(*.f64 (cos.f64 x) 1)
(*.f64 (cos.f64 x) (log.f64 (exp.f64 1)))
(*.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(+.f64 0 (sinh.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(-.f64 (.f64 (sinh.f64 (exp.f64 (log1p.f64 y))) (cosh.f64 1)) (.f64 (cosh.f64 (exp.f64 (log1p.f64 y))) (sinh.f64 1)))
(*.f64 (sinh.f64 y) 1)
(*.f64 (sinh.f64 y) (log.f64 (exp.f64 1)))
(.f64 (.f64 2 (sinh.f64 y)) 1/2)
(*.f64 1 (sinh.f64 y))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 1 1/3) (sinh.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (sinh.f64 y) (cbrt.f64 (sinh.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 y) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
(pow.f64 (sinh.f64 y) 1)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(pow.f64 (pow.f64 (sinh.f64 y) 2) 1/2)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(pow.f64 (/.f64 2 (*.f64 2 (sinh.f64 y))) -1)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(log.f64 (exp.f64 (sinh.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y))))
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sinh.f64 y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (sinh.f64 y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sinh.f64 y))) 2))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(+.f64 0 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1)
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (cos.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) 1) y)
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2)
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) -1)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (*.f64 1/24 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6))))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))
(+.f64 y (fma.f64 1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(+.f64 y (fma.f64 1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5))))
(+.f64 y (+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))))
(+.f64 y (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3)))))
(+.f64 y (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (fma.f64 1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5))) (fma.f64 1/6 (pow.f64 y 3) y))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 -1/4 (.f64 (/.f64 (pow.f64 x 2) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 -1/4 (.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) (fma.f64 1/48 (/.f64 (pow.f64 x 4) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (.f64 (/.f64 (pow.f64 x 2) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 1/48 (*.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) (fma.f64 -1/1440 (/.f64 (pow.f64 x 6) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 1/48 (/.f64 (pow.f64 x 4) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (.f64 (/.f64 (pow.f64 x 2) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/1440 (.f64 (/.f64 (pow.f64 x 6) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 1/48 (.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(+.f64 (cos.f64 x) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 1))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 1) 1))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 3))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1/3))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 2))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))

eval125.0ms (2.1%)

Compiler: Compiled 2649 to 1203 computations (54.6% saved)

prune50.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	176	3	179
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	176	4	180

Accuracy

100.0%

Counts

180 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (expm1.f64 (log1p.f64 (cos.f64 x))) (/.f64 (sinh.f64 y) y))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	67.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
▶	56.4%	(cos.f64 x)
▶	99.9%	(*.f64 (expm1.f64 (log1p.f64 (cos.f64 x))) (/.f64 (sinh.f64 y) y))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	67.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
▶	56.4%	(cos.f64 x)

Compiler

Compiled 64 to 46 computations (28.1% saved)

localize168.0ms (2.8%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
	100.0%	(sinh.f64 y)
	100.0%	(cos.f64 x)
✓	99.8%	(expm1.f64 (log1p.f64 (cos.f64 x)))
✓	99.6%	(log1p.f64 (cos.f64 x))
	100.0%	(sinh.f64 y)
	100.0%	(cos.f64 x)

Compiler

Compiled 46 to 12 computations (73.9% saved)

series97.0ms (1.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	x	@	inf	(log1p.f64 (cos.f64 x))
43.0ms	x	@	-inf	(log1p.f64 (cos.f64 x))
1.0ms	x	@	0	(log1p.f64 (cos.f64 x))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (cos.f64 x)))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 (cos.f64 x)))

rewrite154.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`expm1-udef`
552×	`associate-r`
460×	`associate-l`
306×	`unpow-prod-down`
252×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	66	20
2	658	20
3	7633	20

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs
(log1p.f64 (cos.f64 x))
(expm1.f64 (log1p.f64 (cos.f64 x)))

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

simplify484.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

1214×	`log-prod`
988×	`unswap-sqr`
866×	`fma-neg`
556×	`*-commutative`
514×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	4069
1	711	4008
2	2295	3530
3	7912	3530

Stop Event

1×	node limit

Counts

145 → 184

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/96 (pow.f64 x 4)) (*.f64 -1/1440 (pow.f64 x 6)))))
(log.f64 (+.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (cos.f64 x)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(+.f64 (+.f64 (log1p.f64 (cos.f64 x)) 1) -1)
(+.f64 0 (log1p.f64 (cos.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(-.f64 (+.f64 (log1p.f64 (cos.f64 x)) 1) 1)
(-.f64 (log1p.f64 (pow.f64 (cos.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (log.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (log1p.f64 (cos.f64 x)) 1)
(*.f64 (log1p.f64 (cos.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (log1p.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (sqrt.f64 (log1p.f64 (cos.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (cos.f64 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (cos.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)))
(.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 1/6) (.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (cos.f64 x)))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x)))))
(*.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3/2)))
(.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 1/4) (.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (cos.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (cbrt.f64 (log1p.f64 (cos.f64 x)))) (pow.f64 (log1p.f64 (cos.f64 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (cos.f64 x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (cos.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 5/2)) (pow.f64 (log1p.f64 (cos.f64 x)) 1/6))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (log1p.f64 (cos.f64 x)) 1/4)) (pow.f64 (log1p.f64 (cos.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3/2)) (pow.f64 (log1p.f64 (cos.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 5)) (pow.f64 (log1p.f64 (cos.f64 x)) 1/6))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (cos.f64 x)))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (cos.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (pow.f64 (log1p.f64 (cos.f64 x)) 1/6)) (pow.f64 (log1p.f64 (cos.f64 x)) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (cos.f64 x)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) 1) (+.f64 (log1p.f64 (cos.f64 x)) 1)) (+.f64 1 (+.f64 (log1p.f64 (cos.f64 x)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) 1) (+.f64 (log1p.f64 (cos.f64 x)) 1)) 1) (+.f64 (+.f64 (log1p.f64 (cos.f64 x)) 1) 1))
(pow.f64 (log1p.f64 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (cos.f64 x))) 2))) (cbrt.f64 (log.f64 (log1p.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (cos.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2))
(fabs.f64 (log1p.f64 (cos.f64 x)))
(log.f64 (+.f64 (cos.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (cos.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) 2))
(+.f64 (cos.f64 x) 0)
(+.f64 (+.f64 (cos.f64 x) 1) -1)
(+.f64 1 (-.f64 (cos.f64 x) 1))
(+.f64 1 (+.f64 (cos.f64 x) -1))
(+.f64 0 (cos.f64 x))
(+.f64 -1 (+.f64 (cos.f64 x) 1))
(+.f64 (.f64 (cos.f64 (+.f64 x 1)) (cos.f64 1)) (.f64 (sin.f64 (+.f64 x 1)) (sin.f64 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 (cos.f64 x) 1) 1)
(-.f64 (+.f64 (cos.f64 x) 1) (log.f64 (E.f64)))
(-.f64 (+.f64 (cos.f64 x) 2) 2)
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (+.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (+.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (+.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) 2)))
(*.f64 (cos.f64 x) 1)
(*.f64 (cos.f64 x) (log.f64 (E.f64)))
(*.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) (cbrt.f64 (cos.f64 x))))
(.f64 (pow.f64 (cos.f64 x) 1/6) (.f64 (pow.f64 (cos.f64 x) 1/6) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (pow.f64 (cos.f64 x) 1/4) (sqrt.f64 (pow.f64 (cos.f64 x) 3/2)))
(.f64 (pow.f64 (cos.f64 x) 1/4) (.f64 (pow.f64 (cos.f64 x) 1/4) (sqrt.f64 (cos.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (+.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) -1) (/.f64 1 (+.f64 (cos.f64 x) 2)))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x))) (pow.f64 (cos.f64 x) 1/6))
(*.f64 (pow.f64 1 1/3) (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) 5/2) 1/3) (pow.f64 (cos.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 5/2)) (pow.f64 (cos.f64 x) 1/6))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cos.f64 x) 1/4)) (pow.f64 (cos.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 3/2)) (pow.f64 (cos.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 5)) (pow.f64 (cos.f64 x) 1/6))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1))
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cos.f64 x) 1/6)) (pow.f64 (cos.f64 x) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (+.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (+.f64 (cos.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) -1) (+.f64 (cos.f64 x) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) -1) (-.f64 (+.f64 (cos.f64 x) 1) -1))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 x 2)) (cos.f64 0))) (sqrt.f64 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (+.f64 (cos.f64 x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) -1)) (neg.f64 (+.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) -1) 1) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (+.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) -1) 1) (+.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (cos.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 x))) 2)) (cbrt.f64 (log.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 x)))) (sqrt.f64 (log.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(fabs.f64 (cos.f64 x))
(log.f64 (exp.f64 (cos.f64 x)))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(fma.f64 1 (+.f64 (cos.f64 x) 1) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)) -1)

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (pow.f64 x 2) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/96 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) (log.f64 2)) (*.f64 -1/96 (pow.f64 x 4)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/96 (pow.f64 x 4)) (*.f64 -1/1440 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/96 (pow.f64 x 4) (*.f64 -1/1440 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) (log.f64 2)) (fma.f64 -1/96 (pow.f64 x 4) (*.f64 -1/1440 (pow.f64 x 6))))
(log.f64 (+.f64 1 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(log.f64 (+.f64 1 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(log.f64 (+.f64 1 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(log.f64 (+.f64 1 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(log.f64 (+.f64 1 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(log.f64 (+.f64 1 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(log.f64 (+.f64 1 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(log.f64 (+.f64 1 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 2) -1/2 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/24)))
(+.f64 (fma.f64 (pow.f64 x 2) -1/2 1) (*.f64 (pow.f64 x 4) 1/24))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/24))))
(+.f64 (fma.f64 (pow.f64 x 2) -1/2 1) (fma.f64 (pow.f64 x 6) -1/720 (*.f64 (pow.f64 x 4) 1/24)))
(+.f64 (fma.f64 (pow.f64 x 2) -1/2 1) (fma.f64 (pow.f64 x 4) 1/24 (*.f64 (pow.f64 x 6) -1/720)))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(+.f64 (+.f64 (log1p.f64 (cos.f64 x)) 1) -1)
(log1p.f64 (cos.f64 x))
(+.f64 0 (log1p.f64 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(log1p.f64 (cos.f64 x))
(-.f64 (+.f64 (log1p.f64 (cos.f64 x)) 1) 1)
(log1p.f64 (cos.f64 x))
(-.f64 (log1p.f64 (pow.f64 (cos.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (cos.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (log.f64 (-.f64 1 (cos.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))) (log1p.f64 (neg.f64 (cos.f64 x))))
(*.f64 (log1p.f64 (cos.f64 x)) 1)
(log1p.f64 (cos.f64 x))
(*.f64 (log1p.f64 (cos.f64 x)) (log.f64 (E.f64)))
(log1p.f64 (cos.f64 x))
(*.f64 1 (log1p.f64 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2))
(log1p.f64 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (cos.f64 x))
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(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4)) (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2)))
(.f64 (cbrt.f64 (cos.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(cos.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cos.f64 x) 1/6)) (pow.f64 (cos.f64 x) 1/6))
(cos.f64 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (+.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) -1)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (cos.f64 x)) 2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (cos.f64 x)) 2)))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 2 (+.f64 (cos.f64 x) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) (/.f64 -1 (+.f64 2 (+.f64 (cos.f64 x) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) -1)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 2 (cos.f64 x))) (/.f64 1 (+.f64 2 (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 2 (cos.f64 x))) (/.f64 -1 (+.f64 2 (cos.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 2 (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (+.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (cos.f64 x)) 2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (cos.f64 x)) 2)))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 2 (+.f64 (cos.f64 x) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) (/.f64 -1 (+.f64 2 (+.f64 (cos.f64 x) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) -1))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (cos.f64 x)) 2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (cos.f64 x)) 2)))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 2 (+.f64 (cos.f64 x) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) (/.f64 -1 (+.f64 2 (+.f64 (cos.f64 x) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) -1) (+.f64 (cos.f64 x) 2))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 2 (cos.f64 x))) (/.f64 1 (+.f64 2 (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 2 (cos.f64 x))) (/.f64 -1 (+.f64 2 (cos.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 2 (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) -1) (-.f64 (+.f64 (cos.f64 x) 1) -1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 2 (cos.f64 x))) (/.f64 1 (+.f64 2 (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 2 (cos.f64 x))) (/.f64 -1 (+.f64 2 (cos.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 2 (cos.f64 x)))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 x 2)) (cos.f64 0))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (+.f64 1 (cos.f64 (*.f64 2 x)))) (sqrt.f64 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (+.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (cos.f64 x)) 2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (cos.f64 x)) 2)))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 2 (+.f64 (cos.f64 x) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) (/.f64 -1 (+.f64 2 (+.f64 (cos.f64 x) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) -1)) (neg.f64 (+.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 2 (cos.f64 x))) (/.f64 1 (+.f64 2 (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 2 (cos.f64 x))) (/.f64 -1 (+.f64 2 (cos.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 2 (cos.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) -1) 1) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (+.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (cos.f64 x)) 2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (cos.f64 x)) 2)))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 2 (+.f64 (cos.f64 x) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) (/.f64 -1 (+.f64 2 (+.f64 (cos.f64 x) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) -1) 1) (+.f64 (cos.f64 x) 2))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 2 (cos.f64 x))) (/.f64 1 (+.f64 2 (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 2 (cos.f64 x))) (/.f64 -1 (+.f64 2 (cos.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 2 (cos.f64 x)))
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(cos.f64 x)
(pow.f64 (E.f64) (log.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 x))) 2)) (cbrt.f64 (log.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 x)))) (sqrt.f64 (log.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(cos.f64 x)
(fabs.f64 (cos.f64 x))
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) 3)) 1/3))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)
(fma.f64 1 (+.f64 (cos.f64 x) 1) -1)
(cos.f64 x)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))) -1)
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)) -1)
(cos.f64 x)

eval277.0ms (4.7%)

Compiler: Compiled 9711 to 4724 computations (51.4% saved)

prune112.0ms (1.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	661	3	664
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	662	6	668

Accuracy

100.0%

Counts

668 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.3%	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	67.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
▶	56.3%	(expm1.f64 (log1p.f64 (cos.f64 x)))
✓	56.4%	(cos.f64 x)
	33.3%	1
▶	37.3%	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	67.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
▶	56.3%	(expm1.f64 (log1p.f64 (cos.f64 x)))
✓	56.4%	(cos.f64 x)
	33.3%	1

Compiler

Compiled 78 to 62 computations (20.5% saved)

localize200.0ms (3.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(cos.f64 x)
	99.8%	(expm1.f64 (log1p.f64 (cos.f64 x)))
	99.6%	(log1p.f64 (cos.f64 x))

Compiler

Compiled 32 to 21 computations (34.4% saved)

eval175.0ms (2.9%)

Compiler: Compiled 2915 to 1715 computations (41.2% saved)

prune136.0ms (2.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	238	1	239
Fresh	0	1	1
Picked	0	2	2
Done	0	3	3
Total	238	7	245

Accuracy

100.0%

Counts

245 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.9%	(-.f64 (+.f64 (cos.f64 x) 2) 2)
✓	37.3%	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	67.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
✓	56.3%	(expm1.f64 (log1p.f64 (cos.f64 x)))
✓	56.4%	(cos.f64 x)
	33.3%	1
▶	55.9%	(-.f64 (+.f64 (cos.f64 x) 2) 2)
✓	37.3%	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	67.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
✓	56.3%	(expm1.f64 (log1p.f64 (cos.f64 x)))
✓	56.4%	(cos.f64 x)
	33.3%	1

Compiler

Compiled 94 to 76 computations (19.1% saved)

localize81.0ms (1.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(cos.f64 x)
✓	99.9%	(+.f64 (cos.f64 x) 2)
✓	99.1%	(-.f64 (+.f64 (cos.f64 x) 2) 2)

Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (cos.f64 x) 2)
0.0ms	x	@	0	(-.f64 (+.f64 (cos.f64 x) 2) 2)
0.0ms	x	@	inf	(+.f64 (cos.f64 x) 2)
0.0ms	x	@	-inf	(+.f64 (cos.f64 x) 2)
0.0ms	x	@	inf	(-.f64 (+.f64 (cos.f64 x) 2) 2)

rewrite96.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`unpow-prod-down`
515×	`log1p-expm1-u`
515×	`expm1-log1p-u`
490×	`fma-def`
482×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	113	22
2	1537	22

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(-.f64 (+.f64 (cos.f64 x) 2) 2)
(+.f64 (cos.f64 x) 2)

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

simplify114.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

976×	`unswap-sqr`
810×	`associate-/l*`
648×	`cancel-sign-sub-inv`
630×	`associate-+r+`
598×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	3700
1	631	3483
2	2077	3274

Stop Event

1×	node limit

Counts

138 → 169

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
3
(+.f64 3 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 3 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 3 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 2 (cos.f64 x))
(+.f64 2 (cos.f64 x))
(+.f64 2 (cos.f64 x))
(+.f64 2 (cos.f64 x))
(+.f64 2 (cos.f64 x))
(+.f64 2 (cos.f64 x))
(+.f64 2 (cos.f64 x))
(+.f64 2 (cos.f64 x))
(+.f64 (cos.f64 x) 0)
(+.f64 2 (+.f64 (cos.f64 x) -2))
(+.f64 (+.f64 (cos.f64 x) 2) -2)
(+.f64 (+.f64 (cos.f64 x) 2) (log.f64 (exp.f64 -2)))
(+.f64 -2 (+.f64 (cos.f64 x) 2))
(+.f64 0 (cos.f64 x))
(+.f64 (.f64 (cos.f64 (+.f64 1 x)) (cos.f64 1)) (.f64 (sin.f64 (+.f64 1 x)) (sin.f64 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 (cos.f64 x) 1)
(*.f64 (cos.f64 x) (log.f64 (E.f64)))
(*.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) (fma.f64 2 (+.f64 (cos.f64 x) 2) 4))))
(*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) -4) (/.f64 1 (+.f64 (cos.f64 x) 4)))
(*.f64 (pow.f64 1 1/3) (cos.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) 3) (cbrt.f64 (cos.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) (fma.f64 2 (+.f64 (cos.f64 x) 2) 4)) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3) -8)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) 4) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) -4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) (fma.f64 2 (+.f64 (cos.f64 x) 2) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) (-.f64 4 (*.f64 (+.f64 (cos.f64 x) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) -4) (+.f64 (cos.f64 x) 4))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3) -8)) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) (fma.f64 2 (+.f64 (cos.f64 x) 2) 4))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) -4)) (neg.f64 (+.f64 (cos.f64 x) 4)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 0) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 0 (*.f64 (cos.f64 x) 0))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 0) (cos.f64 x))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (cos.f64 x)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) (fma.f64 2 (+.f64 (cos.f64 x) 2) 4)) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3) -8)) -1)
(pow.f64 (/.f64 (+.f64 (cos.f64 x) 4) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) -4)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 x))) 2)) (cbrt.f64 (log.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 x)))) (sqrt.f64 (log.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(fma.f64 (cos.f64 x) 1 0)
(fma.f64 (+.f64 (cos.f64 x) 2) 1 -2)
(fma.f64 1 (cos.f64 x) 0)
(fma.f64 1 (+.f64 (cos.f64 x) 2) -2)
(fma.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) 2) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 2)) -2)
(fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 0)
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 x) 2)) -2)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 0)
(fma.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 4) (*.f64 (cos.f64 x) 2))) -2)
(fma.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) (fma.f64 2 (+.f64 (cos.f64 x) 2) 4))) 0)
(fma.f64 (+.f64 (pow.f64 (cos.f64 x) 2) -4) (/.f64 1 (+.f64 (cos.f64 x) -2)) -2)
(fma.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) -4) (/.f64 1 (+.f64 (cos.f64 x) 4)) 0)
(-.f64 (+.f64 1 (+.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -2)) (/.f64 4 (+.f64 (cos.f64 x) -2)))
(*.f64 (+.f64 (cos.f64 x) 2) 1)
(*.f64 (+.f64 (cos.f64 x) 2) (log.f64 (E.f64)))
(*.f64 1 (+.f64 (cos.f64 x) 2))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 2)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 x) 2)))
(.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 4) (.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) -4) (/.f64 1 (+.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 1 1/3) (+.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2))) 2) 3) (cbrt.f64 (+.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2))) 3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) 2) (cbrt.f64 (+.f64 (cos.f64 x) 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 x) 2))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 4) (*.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (cos.f64 x) 3) 8)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) -2) (+.f64 (pow.f64 (cos.f64 x) 2) -4)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 4) (*.f64 (cos.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (+.f64 4 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) -4) (+.f64 (cos.f64 x) -2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8)) (neg.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 4) (*.f64 (cos.f64 x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 2) -4)) (neg.f64 (+.f64 (cos.f64 x) -2)))
(/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (-.f64 2 (cos.f64 x)))
(pow.f64 (+.f64 (cos.f64 x) 2) 1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 2)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 (cos.f64 x) 2)))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 4) (*.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (cos.f64 x) 3) 8)) -1)
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -2) (+.f64 (pow.f64 (cos.f64 x) 2) -4)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (cos.f64 x) 2))) 2)) (cbrt.f64 (log.f64 (+.f64 (cos.f64 x) 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (cos.f64 x) 2)))) (sqrt.f64 (log.f64 (+.f64 (cos.f64 x) 2))))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 2)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 2)))
(exp.f64 (log.f64 (+.f64 (cos.f64 x) 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 2))) 2))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 2)))
(fma.f64 (cos.f64 x) 1 2)
(fma.f64 1 (cos.f64 x) 2)
(fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 2)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 2)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 2)
(fma.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) (fma.f64 2 (+.f64 (cos.f64 x) 2) 4))) 2)
(fma.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) -4) (/.f64 1 (+.f64 (cos.f64 x) 4)) 2)

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (*.f64 1/24 (pow.f64 x 4)))
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(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
3
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(+.f64 (+.f64 (cos.f64 x) 2) (log.f64 (exp.f64 -2)))
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(+.f64 -2 (+.f64 (cos.f64 x) 2))
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(+.f64 (.f64 (cos.f64 (+.f64 1 x)) (cos.f64 1)) (.f64 (sin.f64 (+.f64 1 x)) (sin.f64 1)))
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(*.f64 (cos.f64 x) (log.f64 (E.f64)))
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(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) 2) (cbrt.f64 (+.f64 (cos.f64 x) 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 (cos.f64 x)))) (cbrt.f64 (pow.f64 (.f64 (+.f64 2 (cos.f64 x)) (cbrt.f64 (+.f64 2 (cos.f64 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 (cos.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 (cos.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (cos.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 2 (cos.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 4) (*.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (cos.f64 x) 3) 8)))
(.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 4 (.f64 2 (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (+.f64 4 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) -2) (+.f64 (pow.f64 (cos.f64 x) 2) -4)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -2)) (/.f64 4 (+.f64 (cos.f64 x) -2)))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -2)) (/.f64 -4 (+.f64 (cos.f64 x) -2)))
(/.f64 (+.f64 -4 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) -2))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 4) (*.f64 (cos.f64 x) 2)))
(.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 4 (.f64 2 (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (+.f64 4 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (+.f64 4 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) 2))))
(.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 4 (.f64 2 (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (+.f64 4 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) -4) (+.f64 (cos.f64 x) -2))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -2)) (/.f64 4 (+.f64 (cos.f64 x) -2)))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -2)) (/.f64 -4 (+.f64 (cos.f64 x) -2)))
(/.f64 (+.f64 -4 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) -2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8)) (neg.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 4) (*.f64 (cos.f64 x) 2))))
(.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 4 (.f64 2 (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (+.f64 4 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 2) -4)) (neg.f64 (+.f64 (cos.f64 x) -2)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -2)) (/.f64 4 (+.f64 (cos.f64 x) -2)))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -2)) (/.f64 -4 (+.f64 (cos.f64 x) -2)))
(/.f64 (+.f64 -4 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) -2))
(/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (-.f64 2 (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -2)) (/.f64 4 (+.f64 (cos.f64 x) -2)))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -2)) (/.f64 -4 (+.f64 (cos.f64 x) -2)))
(/.f64 (+.f64 -4 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) -2))
(pow.f64 (+.f64 (cos.f64 x) 2) 1)
(+.f64 2 (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) 3)
(+.f64 2 (cos.f64 x))
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) 1/2)
(+.f64 2 (cos.f64 x))
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3) 1/3)
(+.f64 2 (cos.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 2)) 2)
(+.f64 2 (cos.f64 x))
(pow.f64 (E.f64) (log.f64 (+.f64 (cos.f64 x) 2)))
(+.f64 2 (cos.f64 x))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 4) (*.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (cos.f64 x) 3) 8)) -1)
(.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 4 (.f64 2 (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (+.f64 4 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 8) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2))))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -2) (+.f64 (pow.f64 (cos.f64 x) 2) -4)) -1)
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -2)) (/.f64 4 (+.f64 (cos.f64 x) -2)))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -2)) (/.f64 -4 (+.f64 (cos.f64 x) -2)))
(/.f64 (+.f64 -4 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) -2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (cos.f64 x) 2))) 2)) (cbrt.f64 (log.f64 (+.f64 (cos.f64 x) 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (cos.f64 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 2 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (cos.f64 x) 2)))) (sqrt.f64 (log.f64 (+.f64 (cos.f64 x) 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 2 (cos.f64 x))))) (sqrt.f64 (log.f64 (+.f64 2 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2))
(+.f64 2 (cos.f64 x))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 2)))
(+.f64 2 (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3))
(+.f64 2 (cos.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 2)))
(+.f64 2 (cos.f64 x))
(exp.f64 (log.f64 (+.f64 (cos.f64 x) 2)))
(+.f64 2 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2))) 3))
(+.f64 2 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3)) 1/3))
(+.f64 2 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 2))) 2))
(+.f64 2 (cos.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 2)))
(+.f64 2 (cos.f64 x))
(fma.f64 (cos.f64 x) 1 2)
(+.f64 2 (cos.f64 x))
(fma.f64 1 (cos.f64 x) 2)
(+.f64 2 (cos.f64 x))
(fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 2)
(+.f64 2 (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 2)
(+.f64 2 (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 2)
(+.f64 2 (cos.f64 x))
(fma.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) (fma.f64 2 (+.f64 (cos.f64 x) 2) 4))) 2)
(fma.f64 (+.f64 (pow.f64 (+.f64 2 (cos.f64 x)) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (cos.f64 x)) 2) (fma.f64 2 (+.f64 2 (cos.f64 x)) 4))) 2)
(+.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 2 (cos.f64 x)) 3) -8) (+.f64 (pow.f64 (+.f64 2 (cos.f64 x)) 2) (fma.f64 2 (+.f64 2 (cos.f64 x)) 4))))
(+.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 2 (cos.f64 x)) 3) -8) (+.f64 4 (*.f64 (+.f64 2 (cos.f64 x)) (+.f64 4 (cos.f64 x))))))
(fma.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) 2) 2) -4) (/.f64 1 (+.f64 (cos.f64 x) 4)) 2)
(fma.f64 (+.f64 (pow.f64 (+.f64 2 (cos.f64 x)) 2) -4) (/.f64 1 (+.f64 4 (cos.f64 x))) 2)
(+.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 2 (cos.f64 x)) 2) -4) (+.f64 4 (cos.f64 x))))
(+.f64 2 (/.f64 (-.f64 4 (pow.f64 (+.f64 2 (cos.f64 x)) 2)) (-.f64 -4 (cos.f64 x))))

eval126.0ms (2.1%)

Compiler: Compiled 2917 to 2028 computations (30.5% saved)

prune151.0ms (2.5%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	223	8	231

Accuracy

100.0%

Counts

231 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.9%	(-.f64 (+.f64 (cos.f64 x) 2) 2)
	56.0%	(+.f64 2 (+.f64 (cos.f64 x) -2))
✓	37.3%	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	67.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
✓	56.3%	(expm1.f64 (log1p.f64 (cos.f64 x)))
✓	56.4%	(cos.f64 x)
	33.3%	1

Compiler

Compiled 105 to 71 computations (32.4% saved)

regimes68.0ms (1.1%)

Counts

9 → 1

Calls

Call 1

Inputs
1
(cos.f64 x)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(+.f64 2 (+.f64 (cos.f64 x) -2))
(-.f64 (+.f64 (cos.f64 x) 2) 2)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 x))) (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Calls

5 calls:

13.0ms	y
12.0ms	x
9.0ms	(cos.f64 x)
8.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
100.0%	1	`(cos.f64 x)`
100.0%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 75 to 43 computations (42.7% saved)

regimes87.0ms (1.5%)

Counts

6 → 2

Calls

Call 1

Inputs
1
(cos.f64 x)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(+.f64 2 (+.f64 (cos.f64 x) -2))
(-.f64 (+.f64 (cos.f64 x) 2) 2)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))

Outputs
(cos.f64 x)
(*.f64 1 (/.f64 (sinh.f64 y) y))

Calls

4 calls:

27.0ms	x
26.0ms	(/.f64 (sinh.f64 y) y)
17.0ms	y
14.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
79.2%	2	`x`
90.6%	2	`y`
82.4%	2	`(cos.f64 x)`
90.6%	2	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes23.0ms (0.4%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(cos.f64 x)

Outputs
(cos.f64 x)

Calls

3 calls:

10.0ms	y
6.0ms	x
5.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
56.4%	1	`x`
56.4%	1	`(cos.f64 x)`
56.4%	1	`y`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes13.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

2 calls:

7.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
33.3%	1	`y`
33.3%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.0	1.0000000001037357

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
2×	`*-lft-identity`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
1	24	89

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 1) (cos.f64 x) (*.f64 1 (/.f64 (sinh.f64 y) y)))
(cos.f64 x)
1

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 1) (cos.f64 x) (*.f64 1 (/.f64 (sinh.f64 y) y)))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 1) (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
1

Compiler

Compiled 31 to 20 computations (35.5% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess163.0ms (2.7%)

Remove

(abs y)

(abs x)

Compiler

Compiled 104 to 56 computations (46.2% saved)

analyze18.0ms (0.3%)

sample2.3s (38.2%)

preprocess241.0ms (4.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize93.0ms (1.6%)

series19.0ms (0.3%)

rewrite198.0ms (3.3%)

simplify190.0ms (3.2%)

eval125.0ms (2.1%)

prune50.0ms (0.8%)

localize168.0ms (2.8%)

series97.0ms (1.6%)

rewrite154.0ms (2.6%)

simplify484.0ms (8.2%)

eval277.0ms (4.7%)

prune112.0ms (1.9%)

localize200.0ms (3.4%)

eval175.0ms (2.9%)

prune136.0ms (2.3%)

localize81.0ms (1.4%)

series1.0ms (0%)

rewrite96.0ms (1.6%)

simplify114.0ms (1.9%)

eval126.0ms (2.1%)

prune151.0ms (2.5%)

regimes68.0ms (1.1%)

regimes87.0ms (1.5%)

regimes23.0ms (0.4%)

regimes13.0ms (0.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess163.0ms (2.7%)

Profiling