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

analyze50.0ms (1.8%)

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)

sample1.4s (51.5%)

Results

772.0ms	4098×	body	256	infinite
649.0ms	4158×	body	256	valid

Bogosity

preprocess243.0ms (8.7%)

Algorithm

1×	egg-herbie

Rules

1586×	`fma-neg`
896×	`associate-/r/`
778×	`div-sub`
674×	`associate-r`
622×	`sub-neg`

Problems

255×	No Errors
1×	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	218
1	65	218
2	163	218
3	504	218
4	1981	218
5	6261	218

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

Symmetry

(abs x)

(abs y)

Compiler

Compiled 29 to 13 computations (55.2% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (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)

localize98.0ms (3.5%)

Localize:

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series10.0ms (0.4%)

Counts

3 → 40

Calls

12 calls:

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

rewrite245.0ms (8.8%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`unpow-prod-down`
718×	`log-prod`
668×	`log1p-expm1-u`
668×	`expm1-log1p-u`
490×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	135	46
2	1758	46

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

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

simplify86.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

712×	`log-prod`
506×	`associate-r`
496×	`exp-prod`
492×	`cancel-sign-sub-inv`
478×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	4169
1	816	4020
2	3517	3992

Stop Event

1×	node limit

Counts

149 → 190

Calls

Call 1

Inputs
(*.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))
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 0 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 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 y (sinh.f64 y))) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))) 2)
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) -1)
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) 3))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))))) 2))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 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)))

Outputs
(*.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 1/2 (/.f64 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 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (pow.f64 x 2) (/.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 1/2 (/.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 (pow.f64 x 2)) (/.f64 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 1/48 (/.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 (pow.f64 x 2) (/.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 1/2 (/.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)))))))
(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 (.f64 1/48 (pow.f64 x 4)) (/.f64 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 (pow.f64 x 2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 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))))))))
(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 (*.f64 1/48 (pow.f64 x 4)) (/.f64 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 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(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)))))
(+.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 (cos.f64 x) (fma.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6)) (fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4)))) (.f64 (cos.f64 x) (+.f64 1 (*.f64 1/5040 (pow.f64 y 6)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(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)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(cos.f64 x)
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) 1) 1))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(cos.f64 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 x))) 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)
(+.f64 0 (sinh.f64 y))
(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 3 (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 2 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1)
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(sinh.f64 y)
(-.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)
(sinh.f64 y)
(*.f64 (sinh.f64 y) (log.f64 (exp.f64 1)))
(sinh.f64 y)
(.f64 (.f64 2 (sinh.f64 y)) 1/2)
(sinh.f64 y)
(*.f64 1 (sinh.f64 y))
(sinh.f64 y)
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (pow.f64 1 1/3) (sinh.f64 y))
(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))
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) 3))
(sinh.f64 y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) 3))
(sinh.f64 y)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) 3))
(sinh.f64 y)
(*.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 (cbrt.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) 3))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3/2)) (cbrt.f64 (pow.f64 (sinh.f64 y) 3/2)))
(.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 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (.f64 (sinh.f64 y) (cbrt.f64 (sinh.f64 y))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 8)))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 y) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) 5/2)))
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
(sinh.f64 y)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
(/.f64 (*.f64 -2 (sinh.f64 y)) -2)
(neg.f64 (/.f64 (sinh.f64 y) -1))
(/.f64 (neg.f64 (sinh.f64 y)) -1)
(pow.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) 2) 1/2)
(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(sinh.f64 y)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(sinh.f64 y)
(pow.f64 (/.f64 2 (*.f64 2 (sinh.f64 y))) -1)
(sinh.f64 y)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(sinh.f64 y)
(log.f64 (exp.f64 (sinh.f64 y)))
(sinh.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y))))
(sinh.f64 y)
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(sinh.f64 y)
(exp.f64 (log.f64 (sinh.f64 y)))
(sinh.f64 y)
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) 1))
(sinh.f64 y)
(exp.f64 (.f64 (.f64 (log.f64 (sinh.f64 y)) 1) 1))
(sinh.f64 y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) 3))
(sinh.f64 y)
(exp.f64 (.f64 (.f64 3 (log.f64 (sinh.f64 y))) 1/3))
(sinh.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sinh.f64 y))) 2))
(sinh.f64 y)
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(sinh.f64 y)

eval49.0ms (1.8%)

Compiler: Compiled 2865 to 1288 computations (55% saved)

prune26.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	3	191

Accuracy

100.0%

Counts

191 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	64.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
▶	51.2%	(cos.f64 x)
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	64.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
▶	51.2%	(cos.f64 x)

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize39.0ms (1.4%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 9 computations (55% saved)

eval30.0ms (1.1%)

Compiler: Compiled 1379 to 851 computations (38.3% saved)

prune27.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	122	5	127

Accuracy

100.0%

Counts

127 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.6%	(+.f64 1 (*.f64 (pow.f64 x 2) -1/2))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	64.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
✓	51.2%	(cos.f64 x)
	31.8%	1
▶	37.6%	(+.f64 1 (*.f64 (pow.f64 x 2) -1/2))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	64.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
✓	51.2%	(cos.f64 x)
	31.8%	1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize79.0ms (2.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (pow.f64 x 2) -1/2)

Compiler

Compiled 22 to 18 computations (18.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite169.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`associate-r`
756×	`expm1-udef`
738×	`associate-l`
410×	`unpow-prod-down`
286×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	69	16
2	713	16
3	7665	16

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 2) -1/2)

Outputs
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/2) 1) -1)
(+.f64 0 (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/2) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) 1) (+.f64 (.f64 (pow.f64 x 2) -1/2) 1)) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -1/2) 1))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) 1) (+.f64 (.f64 (pow.f64 x 2) -1/2) 1)) 1) (+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) 1) 1))
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2)) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 x 2) -1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2))) 2)) (cbrt.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2)))) (sqrt.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(fabs.f64 (*.f64 (pow.f64 x 2) -1/2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -1/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x 2) -1/2))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) -1/8)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) -1/2)))

simplify54.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

772×	`times-frac`
698×	`distribute-lft-out`
648×	`fma-neg`
496×	`fma-def`
470×	`distribute-rgt-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	725
1	208	723
2	589	723
3	2706	115

Stop Event

1×	node limit

Counts

37 → 34

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/2) 1) -1)
(+.f64 0 (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/2) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) 1) (+.f64 (.f64 (pow.f64 x 2) -1/2) 1)) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -1/2) 1))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) 1) (+.f64 (.f64 (pow.f64 x 2) -1/2) 1)) 1) (+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) 1) 1))
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2)) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 x 2) -1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2))) 2)) (cbrt.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2)))) (sqrt.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(fabs.f64 (*.f64 (pow.f64 x 2) -1/2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -1/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x 2) -1/2))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) -1/8)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) -1/2)))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
0
(*.f64 -1/2 (pow.f64 x 2))
0
(*.f64 -1/2 (pow.f64 x 2))
0
(*.f64 -1/2 (pow.f64 x 2))
0
(*.f64 -1/2 (pow.f64 x 2))
0
(*.f64 -1/2 (pow.f64 x 2))
0
(*.f64 -1/2 (pow.f64 x 2))
0
(*.f64 -1/2 (pow.f64 x 2))
0
(*.f64 -1/2 (pow.f64 x 2))
0
(*.f64 -1/2 (pow.f64 x 2))
0
(*.f64 -1/2 (pow.f64 x 2))
0
(*.f64 -1/2 (pow.f64 x 2))
0
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/2) 1) -1)
(*.f64 -1/2 (pow.f64 x 2))
0
(+.f64 0 (*.f64 (pow.f64 x 2) -1/2))
(*.f64 -1/2 (pow.f64 x 2))
0
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 0 (log.f64 (cbrt.f64 (pow.f64 1 -1/2))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))
(*.f64 -1/2 (pow.f64 x 2))
0
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/2) 1) 1)
(*.f64 -1/2 (pow.f64 x 2))
0
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) 1) (+.f64 (.f64 (pow.f64 x 2) -1/2) 1)) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -1/2) 1))))
(*.f64 -1/2 (pow.f64 x 2))
0
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) 1) (+.f64 (.f64 (pow.f64 x 2) -1/2) 1)) 1) (+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) 1) 1))
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2)) 3)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 x 2) -1/2)))
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2))) 2)) (cbrt.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -1/2 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 0)) 2)) (cbrt.f64 (log.f64 0)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2)))) (sqrt.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -1/2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 0))) (sqrt.f64 (log.f64 0)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(*.f64 -1/2 (pow.f64 x 2))
0
(fabs.f64 (*.f64 (pow.f64 x 2) -1/2))
(*.f64 -1/2 (pow.f64 x 2))
0
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(*.f64 -1/2 (pow.f64 x 2))
0
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(*.f64 -1/2 (pow.f64 x 2))
0
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -1/2)))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x 2) -1/2))) 3))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) -1/8)) 1/3))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 -1/2))) 2))
(*.f64 -1/2 (pow.f64 x 2))
0
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) -1/2)))
(*.f64 -1/2 (pow.f64 x 2))
0

eval12.0ms (0.4%)

Compiler: Compiled 439 to 396 computations (9.8% saved)

prune8.0ms (0.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	34	5	39

Accuracy

100.0%

Counts

39 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.6%	(+.f64 1 (*.f64 (pow.f64 x 2) -1/2))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	64.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
✓	51.2%	(cos.f64 x)
	31.8%	1
✓	37.6%	(+.f64 1 (*.f64 (pow.f64 x 2) -1/2))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	64.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
✓	51.2%	(cos.f64 x)
	31.8%	1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.6%	(+.f64 1 (*.f64 (pow.f64 x 2) -1/2))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	64.9%	(*.f64 1 (/.f64 (sinh.f64 y) y))
✓	51.2%	(cos.f64 x)
	31.8%	1

Compiler

Compiled 58 to 41 computations (29.3% saved)

regimes26.0ms (0.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	x
5.0ms	y
4.0ms	(cos.f64 x)
3.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	(/.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 50 to 32 computations (36% saved)

regimes36.0ms (1.3%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	x
10.0ms	(cos.f64 x)
8.0ms	y
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
75.9%	4	`x`
83.9%	2	`y`
76.3%	2	`(cos.f64 x)`
83.9%	2	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes11.0ms (0.4%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(cos.f64 x)

Outputs
(cos.f64 x)

Calls

3 calls:

4.0ms	x
3.0ms	y
3.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
51.2%	1	`x`
51.2%	1	`(cos.f64 x)`
51.2%	1	`y`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes6.0ms (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:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
31.8%	1	`x`
31.8%	1	`y`

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	1.0000000000586067	1.0198804235822596

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
3×	`1-exp`
2×	`*-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	89
1	28	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) 4548635623644201/4503599627370496) (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) 4548635623644201/4503599627370496) (cos.f64 x) (*.f64 1 (/.f64 (sinh.f64 y) y)))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 4548635623644201/4503599627370496) (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%)

preprocess38.0ms (1.4%)

Remove

(abs y)

(abs x)

Compiler

Compiled 212 to 128 computations (39.6% saved)

analyze50.0ms (1.8%)

sample1.4s (51.5%)

preprocess243.0ms (8.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize98.0ms (3.5%)

series10.0ms (0.4%)

rewrite245.0ms (8.8%)

simplify86.0ms (3.1%)

eval49.0ms (1.8%)

prune26.0ms (0.9%)

localize39.0ms (1.4%)

eval30.0ms (1.1%)

prune27.0ms (1%)

localize79.0ms (2.8%)

series1.0ms (0%)

rewrite169.0ms (6.1%)

simplify54.0ms (1.9%)

eval12.0ms (0.4%)

prune8.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes26.0ms (0.9%)

regimes36.0ms (1.3%)

regimes11.0ms (0.4%)

regimes6.0ms (0.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess38.0ms (1.4%)

Profiling