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

analyze16.0ms (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 (46.5%)

Results

524.0ms	1050×	body	1024	infinite
519.0ms	2630×	body	256	infinite
496.0ms	2601×	body	256	valid
350.0ms	972×	body	1024	valid
162.0ms	501×	body	512	valid
143.0ms	498×	body	512	infinite
48.0ms	4×	body	2048	valid

Bogosity

preprocess107.0ms (2.2%)

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
▶	99.9%	(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
▶	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	99.9%	(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
▶	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize64.0ms (1.3%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sinh.f64 y)
✓	99.8%	(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
✓	99.8%	(/.f64 (cos.f64 x) y)
✓	100.0%	(sinh.f64 y)
✓	100.0%	(/.f64 (sinh.f64 y) y)

Compiler

Compiled 37 to 9 computations (75.7% saved)

series13.0ms (0.3%)

Counts

5 → 64

Calls

21 calls:

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

rewrite135.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`log-prod`
826×	`log1p-expm1-u`
826×	`expm1-log1p-u`
604×	`pow-prod-down`
382×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	80
1	159	80
2	2167	80

Stop Event

1×	node limit

Counts

5 → 199

Calls

Call 1

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

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

simplify104.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

946×	`log-prod`
572×	`associate-r`
566×	`cube-prod`
502×	`associate-/l*`
502×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	461	7152
1	1066	6929
2	4431	6929

Stop Event

1×	node limit

Counts

263 → 247

Calls

Call 1

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

eval67.0ms (1.4%)

Compiler: Compiled 4178 to 1784 computations (57.3% saved)

prune284.0ms (5.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	298	2	300
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	299	3	302

Accuracy

100.0%

Counts

302 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(*.f64 (/.f64 1 y) (sinh.f64 y))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	50.8%	(cos.f64 x)
▶	64.2%	(*.f64 (/.f64 1 y) (sinh.f64 y))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	50.8%	(cos.f64 x)

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize145.0ms (3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	100.0%	(sinh.f64 y)
✓	99.9%	(*.f64 (/.f64 1 y) (sinh.f64 y))

Compiler

Compiled 19 to 11 computations (42.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (/.f64 1 y) (sinh.f64 y))
0.0ms	y	@	-inf	(*.f64 (/.f64 1 y) (sinh.f64 y))
0.0ms	y	@	inf	(*.f64 (/.f64 1 y) (sinh.f64 y))

rewrite224.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`unpow-prod-down`
450×	`log-prod`
442×	`cbrt-prod`
422×	`log1p-expm1-u`
422×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	97	17
2	1186	17

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(*.f64 (/.f64 1 y) (sinh.f64 y))

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

simplify144.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1694×	`log-div`
972×	`associate-r`
912×	`associate-l`
788×	`fma-neg`
674×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	2159
1	325	2121
2	989	1094
3	6900	1094

Stop Event

1×	node limit

Counts

53 → 60

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(*.f64 1/2 (/.f64 (-.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 (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 (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 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 0 (/.f64 (sinh.f64 y) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 2 (sinh.f64 y)) (.f64 y 2))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (.f64 -1 (.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) 1) (*.f64 2 y))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) -1) (*.f64 2 (neg.f64 y)))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (.f64 (/.f64 1 y) (.f64 2 (sinh.f64 y))) 2)
(/.f64 (*.f64 (sinh.f64 y) -1) (neg.f64 y))
(/.f64 (*.f64 -1 (sinh.f64 y)) (neg.f64 y))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (/.f64 1 y)) 2)
(/.f64 (/.f64 (sinh.f64 y) 1) y)
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2) (sinh.f64 y))) (cbrt.f64 y))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (E.f64) (log.f64 (/.f64 (sinh.f64 y) y)))
(pow.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (sinh.f64 y) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sinh.f64 y) y)))) (sqrt.f64 (log.f64 (/.f64 (sinh.f64 y) y))))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) 2))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))

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

eval36.0ms (0.7%)

Compiler: Compiled 1210 to 707 computations (41.6% saved)

prune20.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	110	6	116

Accuracy

100.0%

Counts

116 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.3%	(/.f64 (sinh.f64 y) y)
✓	64.2%	(*.f64 (/.f64 1 y) (sinh.f64 y))
▶	26.5%	(*.f64 (/.f64 1 y) y)
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	50.8%	(cos.f64 x)
	26.5%	1
▶	64.3%	(/.f64 (sinh.f64 y) y)
✓	64.2%	(*.f64 (/.f64 1 y) (sinh.f64 y))
▶	26.5%	(*.f64 (/.f64 1 y) y)
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	50.8%	(cos.f64 x)
	26.5%	1

Compiler

Compiled 74 to 54 computations (27% saved)

localize33.0ms (0.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(sinh.f64 y)
	100.0%	(/.f64 (sinh.f64 y) y)
✓	99.7%	(*.f64 (/.f64 1 y) y)

Compiler

Compiled 20 to 11 computations (45% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`associate-r`
418×	`associate-l`
376×	`frac-times`
300×	`unpow-prod-down`
220×	`cbrt-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	1
1	86	1
2	655	1

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(*.f64 (/.f64 1 y) y)

Outputs
-6
-4
-3
-5/2
-2
-3/2
-1
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
5
6
8
9

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	42
1	33	42

Stop Event

1×

saturated

Counts

42 → 30

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
-6
-4
-3
-5/2
-2
-3/2
-1
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
5
6
8
9

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
-6
-4
-3
-5/2
-2
-3/2
-1
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
5
6
8
9

eval34.0ms (0.7%)

Compiler: Compiled 1209 to 637 computations (47.3% saved)

prune33.0ms (0.7%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	134	14	148
Fresh	0	1	1
Picked	1	1	2
Done	0	3	3
Total	135	19	154

Accuracy

100.0%

Counts

154 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.3%	(/.f64 (sinh.f64 y) y)
✓	64.2%	(*.f64 (/.f64 1 y) (sinh.f64 y))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	50.8%	(cos.f64 x)
	7.0%	9
	26.5%	1
	8.3%	2/3
	8.1%	1/2
	7.8%	1/3
	7.6%	1/4
	7.4%	1/6
	7.2%	1/9
	3.9%	-1/6
	4.0%	-1/4
	4.1%	-1/3
	4.2%	-1/2
	4.2%	-2/3
	4.2%	-1
	3.6%	-6
✓	64.3%	(/.f64 (sinh.f64 y) y)
✓	64.2%	(*.f64 (/.f64 1 y) (sinh.f64 y))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	50.8%	(cos.f64 x)
	7.0%	9
	26.5%	1
	8.3%	2/3
	8.1%	1/2
	7.8%	1/3
	7.6%	1/4
	7.4%	1/6
	7.2%	1/9
	3.9%	-1/6
	4.0%	-1/4
	4.1%	-1/3
	4.2%	-1/2
	4.2%	-2/3
	4.2%	-1
	3.6%	-6

Compiler

Compiled 144 to 128 computations (11.1% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune8.0ms (0.2%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	15	15
Picked	0	0
Done	4	4
Total	19	19

Accuracy

100.0%

Counts

19 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.3%	(/.f64 (sinh.f64 y) y)
✓	64.2%	(*.f64 (/.f64 1 y) (sinh.f64 y))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	50.8%	(cos.f64 x)
	7.0%	9
	26.5%	1
	8.3%	2/3
	8.1%	1/2
	7.8%	1/3
	7.6%	1/4
	7.4%	1/6
	7.2%	1/9
	3.9%	-1/6
	4.0%	-1/4
	4.1%	-1/3
	4.2%	-1/2
	4.2%	-2/3
	4.2%	-1
	3.6%	-6

Compiler

Compiled 120 to 93 computations (22.5% saved)

regimes57.0ms (1.2%)

Counts

21 → 1

Calls

Call 1

Inputs
-6
-1
-2/3
-1/2
-1/3
-1/4
-1/6
1/9
1/6
1/4
1/3
1/2
2/3
1
9
(*.f64 (/.f64 1 y) y)
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))

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

Calls

5 calls:

14.0ms	(cos.f64 x)
14.0ms	y
13.0ms	x
7.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.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 73 to 46 computations (37% saved)

regimes102.0ms (2.1%)

Counts

19 → 2

Calls

Call 1

Inputs
-6
-1
-2/3
-1/2
-1/3
-1/4
-1/6
1/9
1/6
1/4
1/3
1/2
2/3
1
9
(*.f64 (/.f64 1 y) y)
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 y) (sinh.f64 y))

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

Calls

4 calls:

37.0ms	(cos.f64 x)
33.0ms	x
24.0ms	y
4.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
75.4%	2	`x`
88.3%	2	`y`
81.1%	4	`(cos.f64 x)`
88.3%	2	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 50 to 37 computations (26% saved)

regimes31.0ms (0.6%)

Counts

18 → 2

Calls

Call 1

Inputs
-6
-1
-2/3
-1/2
-1/3
-1/4
-1/6
1/9
1/6
1/4
1/3
1/2
2/3
1
9
(*.f64 (/.f64 1 y) y)
(cos.f64 x)
(/.f64 (sinh.f64 y) y)

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

Calls

2 calls:

22.0ms	y
6.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
88.2%	2	`y`
88.2%	2	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 37 to 29 computations (21.6% saved)

regimes35.0ms (0.7%)

Counts

17 → 1

Calls

Call 1

Inputs
-6
-1
-2/3
-1/2
-1/3
-1/4
-1/6
1/9
1/6
1/4
1/3
1/2
2/3
1
9
(*.f64 (/.f64 1 y) y)
(cos.f64 x)

Outputs
(cos.f64 x)

Calls

3 calls:

12.0ms	y
10.0ms	(cos.f64 x)
10.0ms	x

Results

Accuracy	Segments	Branch
50.8%	1	`x`
50.8%	1	`(cos.f64 x)`
50.8%	1	`y`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes25.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

Inputs
-6
-1
-2/3
-1/2
-1/3
-1/4
-1/6
1/9
1/6
1/4
1/3
1/2
2/3
1
9
(*.f64 (/.f64 1 y) y)

Outputs
1

Calls

2 calls:

11.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
26.5%	1	`x`
26.5%	1	`y`

Compiler

Compiled 28 to 24 computations (14.3% saved)

regimes21.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

Inputs
-6
-1
-2/3
-1/2
-1/3
-1/4
-1/6
1/9
1/6
1/4
1/3
1/2
2/3

Outputs
2/3

Calls

2 calls:

10.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
8.3%	1	`y`
8.3%	1	`x`

Compiler

Compiled 21 to 19 computations (9.5% saved)

regimes23.0ms (0.5%)

Counts

12 → 1

Calls

Call 1

Inputs
-6
-1
-2/3
-1/2
-1/3
-1/4
-1/6
1/9
1/6
1/4
1/3
1/2

Outputs
1/2

Calls

2 calls:

9.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
8.1%	1	`x`
8.1%	1	`y`

Compiler

Compiled 20 to 18 computations (10% saved)

regimes19.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
-6
-1
-2/3
-1/2
-1/3
-1/4
-1/6
1/9
1/6
1/4
1/3

Outputs
1/3

Calls

2 calls:

8.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
7.8%	1	`y`
7.8%	1	`x`

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes18.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

Inputs
-6
-1
-2/3
-1/2
-1/3
-1/4
-1/6
1/9
1/6
1/4

Outputs
1/4

Calls

2 calls:

9.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
7.6%	1	`y`
7.6%	1	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes16.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
-6
-1
-2/3
-1/2
-1/3
-1/4
-1/6
1/9
1/6

Outputs
1/6

Calls

2 calls:

8.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
7.4%	1	`x`
7.4%	1	`y`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes15.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
-6
-1
-2/3
-1/2
-1/3
-1/4
-1/6
1/9

Outputs
1/9

Calls

2 calls:

8.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
7.2%	1	`x`
7.2%	1	`y`

Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes14.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
-6
-1
-2/3
-1/2
-1/3
-1/4
-1/6

Outputs
-1

Calls

2 calls:

7.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
4.2%	1	`x`
4.2%	1	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-6

Outputs
-6

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
3.6%	1	`y`
3.6%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.03001561955783	4.5671553572298575e+35

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.03001561955783	4.5671553572298575e+35

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	153
1	34	153

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) 2) (cos.f64 x) (*.f64 (/.f64 1 y) (sinh.f64 y)))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 2) (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
1
2/3
1/2
1/3
1/4
1/6
1/9
-1
-6

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 2) (cos.f64 x) (*.f64 (/.f64 1 y) (sinh.f64 y)))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 2) (cos.f64 x) (*.f64 (sinh.f64 y) (/.f64 1 y)))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 2) (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
1
2/3
1/2
1/3
1/4
1/6
1/9
-1
-6

Compiler

Compiled 72 to 55 computations (23.6% saved)

soundness600.0ms (12.4%)

Rules

1694×	`log-div`
1576×	`div-sub`
1272×	`times-frac`
972×	`associate-r`
944×	`fma-neg`

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
0	8	1
1	86	1
2	655	1
0	8	1
1	86	1
2	655	1
0	8	1
1	86	1
2	655	1
0	8	1
1	86	1
2	655	1
0	8	1
1	86	1
2	655	1
0	8	1
1	86	1
2	655	1
0	8	1
1	86	1
2	655	1
0	8	1
1	86	1
2	655	1
0	135	2159
1	325	2121
2	989	1094
3	6900	1094

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 133 to 75 computations (43.6% saved)

end0.0ms (0%)

preprocess79.0ms (1.6%)

Remove

(abs y)

(abs x)

Compiler

Compiled 150 to 84 computations (44% saved)

analyze16.0ms (0.3%)

sample2.3s (46.5%)

preprocess107.0ms (2.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize64.0ms (1.3%)

series13.0ms (0.3%)

rewrite135.0ms (2.8%)

simplify104.0ms (2.1%)

eval67.0ms (1.4%)

prune284.0ms (5.9%)

localize145.0ms (3%)

series0.0ms (0%)

rewrite224.0ms (4.6%)

simplify144.0ms (3%)

eval36.0ms (0.7%)

prune20.0ms (0.4%)

localize33.0ms (0.7%)

series0.0ms (0%)

rewrite47.0ms (1%)

simplify5.0ms (0.1%)

eval34.0ms (0.7%)

prune33.0ms (0.7%)

localize0.0ms (0%)

eval0.0ms (0%)

prune8.0ms (0.2%)

regimes57.0ms (1.2%)

regimes102.0ms (2.1%)

regimes31.0ms (0.6%)

regimes35.0ms (0.7%)

regimes25.0ms (0.5%)

regimes21.0ms (0.4%)

regimes23.0ms (0.5%)

regimes19.0ms (0.4%)

regimes18.0ms (0.4%)

regimes16.0ms (0.3%)

regimes15.0ms (0.3%)

regimes14.0ms (0.3%)

regimes7.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness600.0ms (12.4%)

end0.0ms (0%)

preprocess79.0ms (1.6%)

Profiling