Metrics for Hyperbolic sine

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.6s (55.1%)

Memory

75.0MiB live, 1 453.7MiB allocated; 312ms collecting garbage

Samples

679.0ms	1 732×	2	valid
409.0ms	2 310×	1	valid
234.0ms	4 214×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-exp: 824.0ms (73.8% of total)

adjust: 124.0ms (11.1% of total)

ival-div!: 71.0ms (6.4% of total)

ival-neg: 62.0ms (5.6% of total)

ival-sub!: 36.0ms (3.2% of total)

Bogosity

preprocess49.0ms (1.7%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	59	7
2	225	7
3	2678	7

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Symmetry

(negabs x)

Compiler

Compiled 14 to 14 computations (0% saved)

series3.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Counts

7 → 25

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)
1.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)
1.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

Time

Variable

Point

Expression

1.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

1.0ms

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

1.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

rewrite232.0ms (7.9%)

Memory

-11.8MiB live, 134.7MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	354
0	111	277
1	690	270
0	6589	248

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

32 → 150

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Outputs
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(sinh.f64 x)
(neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x))))
(neg.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(neg.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
(neg.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64))))
(neg.f64 (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))))
(.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(neg.f64 (-.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64) (sinh.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (sinh.f64 x))
(fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(-.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (-.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (sinh.f64 x) (sinh.f64 (neg.f64 x))))
(+.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64) (cosh.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (cosh.f64 x))
(fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(-.f64 (+.f64 (cosh.f64 x) (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (cosh.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 x) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 x)
x
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(neg.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 (neg.f64 x))))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (-.f64 (cosh.f64 x) (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 x) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (sinh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (sinh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval29.0ms (1%)

Memory: -23.3MiB live, 22.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 091 to 478 computations (56.2% saved)

prune3.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	137	4	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	4	142

Accuracy

100.0%

Counts

142 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.8%	(/.f64 (+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x)) #s(literal 2 binary64))
▶	100.0%	(sinh.f64 x)
▶	80.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
▶	52.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 31 to 31 computations (0% saved)

series10.0ms (0.3%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

15 → 46

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sinh.f64 x)
(/.f64 (+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x)) #s(literal 2 binary64))
(+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (exp.f64 x) (cosh.f64 x))
(exp.f64 x)
(cosh.f64 x)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) #s(hole binary64 x))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (- (exp x) (cosh x)) #s(hole binary64 x))
#s(approx (- (exp x) (cosh x)) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (- (exp x) (cosh x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (- (exp x) (cosh x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) #s(hole binary64 (* 1/2 (- (+ (exp x) (* 1/2 (- (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) #s(hole binary64 (- (+ (exp x) (* 1/2 (- (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (- (exp x) (cosh x)) #s(hole binary64 (- (exp x) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (+ (- (exp x) (cosh x)) (sinh x)) (- (exp x) (cosh x)) (exp x) (cosh x) 2)
3.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (+ (- (exp x) (cosh x)) (sinh x)) (- (exp x) (cosh x)) (exp x) (cosh x) 2)
2.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (+ (- (exp x) (cosh x)) (sinh x)) (- (exp x) (cosh x)) (exp x) (cosh x) 2)

Time

Variable

Point

Expression

4.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (+ (- (exp x) (cosh x)) (sinh x)) (- (exp x) (cosh x)) (exp x) (cosh x) 2)

3.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (+ (- (exp x) (cosh x)) (sinh x)) (- (exp x) (cosh x)) (exp x) (cosh x) 2)

2.0ms

((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (+ (- (exp x) (cosh x)) (sinh x)) (- (exp x) (cosh x)) (exp x) (cosh x) 2)

rewrite187.0ms (6.4%)

Memory

-7.3MiB live, 141.6MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	823
0	171	637
1	963	587
0	8722	538

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

61 → 518

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sinh.f64 x)
(/.f64 (+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x)) #s(literal 2 binary64))
(+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (exp.f64 x) (cosh.f64 x))
(exp.f64 x)
(cosh.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) #s(hole binary64 x))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (- (exp x) (cosh x)) #s(hole binary64 x))
#s(approx (- (exp x) (cosh x)) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (- (exp x) (cosh x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (- (exp x) (cosh x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) #s(hole binary64 (* 1/2 (- (+ (exp x) (* 1/2 (- (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) #s(hole binary64 (- (+ (exp x) (* 1/2 (- (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (- (exp x) (cosh x)) #s(hole binary64 (- (exp x) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))

Outputs
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) x)
x
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))
(.f64 (.f64 (.f64 x x) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)))
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(fma.f64 (exp.f64 x) #s(literal 1 binary64) (neg.f64 (cosh.f64 x)))
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(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (.f64 (cosh.f64 x) (+.f64 (cosh.f64 x) (exp.f64 x))))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) (+.f64 (cosh.f64 x) (exp.f64 x))))))
(-.f64 (exp.f64 x) (cosh.f64 x))
(+.f64 (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) (-.f64 (sinh.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(+.f64 (-.f64 (cosh.f64 x) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (-.f64 (sinh.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(+.f64 (exp.f64 x) (neg.f64 (cosh.f64 x)))
(.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64) (.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(neg.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (cosh.f64 x) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 1/2 binary64) (exp.f64 x))) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (sinh.f64 x))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(neg.f64 (-.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(neg.f64 (-.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(neg.f64 (neg.f64 (cosh.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
#s(literal 2 binary64)
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) x)
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) x)
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) x)
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) (+.f64 x x))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (cosh x)) x)
#s(approx (- (exp x) (cosh x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (- (exp x) (cosh x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (exp x) (cosh x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (sinh.f64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (sinh.f64 x))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (sinh.f64 x))
#s(approx (+ (- (exp x) (cosh x)) (sinh x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (- (exp x) (cosh x)) (-.f64 (exp.f64 x) (cosh.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (/ (+ (- (exp x) (cosh x)) (sinh x)) 2) (sinh.f64 x))

eval54.0ms (1.8%)

Memory: 18.8MiB live, 64.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 606 to 1 723 computations (69.3% saved)

prune14.0ms (0.5%)

Memory

-20.9MiB live, 23.1MiB allocated; 6ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	487	6	493
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	489	8	497

Accuracy

100.0%

Counts

497 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.8%	(/.f64 (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) (exp.f64 x))) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)
▶	80.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
▶	80.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
▶	80.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
▶	34.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
▶	34.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
✓	52.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 176 to 176 computations (0% saved)

series8.0ms (0.3%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

23 → 38

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
x
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(.f64 #s(literal -1/6 binary64) (.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- x (* (* -1/6 (* x x)) x)) #s(hole binary64 x))
#s(approx (- x (* (* -1/6 (* x x)) x)) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* -1/6 (* x x)) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* -1/6 (* x x)) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (* (* x x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 x))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (- x (* (* -1/6 (* x x)) x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (* (* -1/6 (* x x)) x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (- x (* (* -1/6 (* x x)) x)) x (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) -1/6 (* x x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) (* 1/6 x) 1 (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x))
3.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (- x (* (* -1/6 (* x x)) x)) x (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) -1/6 (* x x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) (* 1/6 x) 1 (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x))
2.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (- x (* (* -1/6 (* x x)) x)) x (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) -1/6 (* x x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) (* 1/6 x) 1 (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x))

Time

Variable

Point

Expression

3.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (- x (* (* -1/6 (* x x)) x)) x (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) -1/6 (* x x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) (* 1/6 x) 1 (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x))

3.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (- x (* (* -1/6 (* x x)) x)) x (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) -1/6 (* x x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) (* 1/6 x) 1 (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x))

2.0ms

((/ (- (exp x) (exp (neg x))) 2) (- x (* (* -1/6 (* x x)) x)) x (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) -1/6 (* x x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) (* 1/6 x) 1 (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x))

rewrite121.0ms (4.1%)

Memory

9.9MiB live, 110.2MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	772
0	138	610
1	519	592
0	3554	554

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

61 → 414

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
x
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(.f64 #s(literal -1/6 binary64) (.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- x (* (* -1/6 (* x x)) x)) #s(hole binary64 x))
#s(approx (- x (* (* -1/6 (* x x)) x)) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* -1/6 (* x x)) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* -1/6 (* x x)) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (* (* x x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 x))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (- x (* (* -1/6 (* x x)) x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (* (* -1/6 (* x x)) x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) x) (.f64 x x))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64))))
(.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)))
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64) (.f64 x (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))))
(.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x) (.f64 x x))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)
(.f64 (.f64 (.f64 x x) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64))))
(.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x x) x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) x) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64))) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64) (.f64 x (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64) (.f64 x (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))))
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(.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64) (.f64 x (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))))
(.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x) (.f64 x x))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)
(.f64 (.f64 (.f64 x x) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64))))
(.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x x) x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) x) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64))) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64) (.f64 x (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64) (.f64 x (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64) (.f64 x (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))) (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal 1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x) (.f64 x x)) (-.f64 (.f64 (.f64 x x) x) (.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/216 binary64)))))
(neg.f64 (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
(neg.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)) x))
(neg.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(neg.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(neg.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
(neg.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x)) x))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (neg.f64 (.f64 (.f64 x x) x)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x x) x)
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x x)
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) x)
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x)
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (.f64 (.f64 x x) x)) x)
(fma.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x) (.f64 x x))) (/.f64 (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x) (*.f64 x x))))
(-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (*.f64 x x) x)))
(-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x)))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64) (.f64 x (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64) (.f64 x (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))))
(+.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)
(+.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (- x (* (* -1/6 (* x x)) x)) x)
#s(approx (- x (* (* -1/6 (* x x)) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx x x)
#s(approx (* (* -1/6 (* x x)) x) (.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x)))
#s(approx (* -1/6 (* x x)) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- x (* (* -1/6 (* x x)) x)) x)
#s(approx (- x (* (* -1/6 (* x x)) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (* (* (* x x) x) 1/6) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (* x x) 1/6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (- x (* (* -1/6 (* x x)) x)) x)
#s(approx (- x (* (* -1/6 (* x x)) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (- x (* (* -1/6 (* x x)) x)) x)
#s(approx (- x (* (* -1/6 (* x x)) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (sinh.f64 x))
#s(approx (- x (* (* -1/6 (* x x)) x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (- x (* (* -1/6 (* x x)) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (- x (* (* -1/6 (* x x)) x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (- x (* (* -1/6 (* x x)) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (+ (* (* x x) 1/6) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (- x (* (* -1/6 (* x x)) x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (- x (* (* -1/6 (* x x)) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (+ (* (* x x) 1/6) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (- x (* (* -1/6 (* x x)) x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (- x (* (* -1/6 (* x x)) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (sinh.f64 x))

eval45.0ms (1.5%)

Memory: -16.8MiB live, 70.4MiB allocated; 19ms collecting garbage
Compiler: Compiled 2 842 to 1 321 computations (53.5% saved)

prune10.0ms (0.3%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	349	2	351
Fresh	0	1	1
Picked	1	4	5
Done	0	2	2
Total	350	9	359

Accuracy

100.0%

Counts

359 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.8%	(/.f64 (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) (exp.f64 x))) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)
✓	80.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
✓	80.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
✓	80.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
✓	34.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
▶	34.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
▶	34.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
✓	52.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 111 to 111 computations (0% saved)

series19.0ms (0.7%)

Memory

-31.6MiB live, 22.5MiB allocated; 13ms collecting garbage

Counts

18 → 49

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 x x)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(/.f64 (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) (exp.f64 x))) #s(literal 2 binary64))
(-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) (exp.f64 x)))
(sinh.f64 x)
(-.f64 (cosh.f64 x) (exp.f64 x))
(cosh.f64 x)
(exp.f64 x)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (* x x) (* 1/6 x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (sinh x) (- (cosh x) (exp x))) 2) #s(hole binary64 x))
#s(approx (/ (- (sinh x) (- (cosh x) (exp x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (sinh x) (- (cosh x) (exp x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (sinh x) (- (cosh x) (exp x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (sinh x) (- (cosh x) (exp x))) #s(hole binary64 (* 2 x)))
#s(approx (- (sinh x) (- (cosh x) (exp x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (sinh x) (- (cosh x) (exp x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (sinh x) (- (cosh x) (exp x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (cosh x) (exp x)) #s(hole binary64 (* -1 x)))
#s(approx (- (cosh x) (exp x)) #s(hole binary64 (* x (- (* -1/6 (pow x 2)) 1))))
#s(approx (- (cosh x) (exp x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1))))
#s(approx (- (cosh x) (exp x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (sinh x) (- (cosh x) (exp x))) 2) #s(hole binary64 (* 1/2 (- (+ (exp x) (* 1/2 (- (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (- (sinh x) (- (cosh x) (exp x))) #s(hole binary64 (- (+ (exp x) (* 1/2 (- (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (- (cosh x) (exp x)) #s(hole binary64 (- (* 1/2 (+ (exp x) (/ 1 (exp x)))) (exp x))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (sinh x) (- (cosh x) (exp x))) 2) (- (sinh x) (- (cosh x) (exp x))) (sinh x) (- (cosh x) (exp x)) (cosh x) (exp x) 2)
3.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (sinh x) (- (cosh x) (exp x))) 2) (- (sinh x) (- (cosh x) (exp x))) (sinh x) (- (cosh x) (exp x)) (cosh x) (exp x) 2)
3.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (sinh x) (- (cosh x) (exp x))) 2) (- (sinh x) (- (cosh x) (exp x))) (sinh x) (- (cosh x) (exp x)) (cosh x) (exp x) 2)

Time

Variable

Point

Expression

13.0ms

((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (sinh x) (- (cosh x) (exp x))) 2) (- (sinh x) (- (cosh x) (exp x))) (sinh x) (- (cosh x) (exp x)) (cosh x) (exp x) 2)

3.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (sinh x) (- (cosh x) (exp x))) 2) (- (sinh x) (- (cosh x) (exp x))) (sinh x) (- (cosh x) (exp x)) (cosh x) (exp x) 2)

3.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (sinh x) (- (cosh x) (exp x))) 2) (- (sinh x) (- (cosh x) (exp x))) (sinh x) (- (cosh x) (exp x)) (cosh x) (exp x) 2)

rewrite135.0ms (4.6%)

Memory

29.3MiB live, 165.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	932
0	200	777
1	1077	729
0	8406	671

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

67 → 323

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 x x)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(/.f64 (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) (exp.f64 x))) #s(literal 2 binary64))
(-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) (exp.f64 x)))
(sinh.f64 x)
(-.f64 (cosh.f64 x) (exp.f64 x))
(cosh.f64 x)
(exp.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (* x x) (* 1/6 x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (sinh x) (- (cosh x) (exp x))) 2) #s(hole binary64 x))
#s(approx (/ (- (sinh x) (- (cosh x) (exp x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (sinh x) (- (cosh x) (exp x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (sinh x) (- (cosh x) (exp x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (sinh x) (- (cosh x) (exp x))) #s(hole binary64 (* 2 x)))
#s(approx (- (sinh x) (- (cosh x) (exp x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (sinh x) (- (cosh x) (exp x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (sinh x) (- (cosh x) (exp x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (cosh x) (exp x)) #s(hole binary64 (* -1 x)))
#s(approx (- (cosh x) (exp x)) #s(hole binary64 (* x (- (* -1/6 (pow x 2)) 1))))
#s(approx (- (cosh x) (exp x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1))))
#s(approx (- (cosh x) (exp x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (sinh x) (- (cosh x) (exp x))) 2) #s(hole binary64 (* 1/2 (- (+ (exp x) (* 1/2 (- (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (- (sinh x) (- (cosh x) (exp x))) #s(hole binary64 (- (+ (exp x) (* 1/2 (- (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (- (cosh x) (exp x)) #s(hole binary64 (- (* 1/2 (+ (exp x) (/ 1 (exp x)))) (exp x))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)
(.f64 x #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (cosh.f64 x))
(/.f64 (-.f64 (.f64 (.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (.f64 (sinh.f64 x) #s(literal 1/2 binary64))) (.f64 (.f64 (-.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 1/2 binary64)) (.f64 (-.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 1/2 binary64)))) (fma.f64 (sinh.f64 x) #s(literal 1/2 binary64) (*.f64 (-.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (fma.f64 (.f64 (-.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 1/2 binary64)) (.f64 (-.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (cosh.f64 x) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (+.f64 (+.f64 (sinh.f64 x) (exp.f64 x)) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (sinh.f64 x) (exp.f64 x)) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (+.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 x))))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (sinh.f64 x) (exp.f64 x)) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (sinh.f64 x) (exp.f64 x)) (cosh.f64 x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (+.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 x)))))))
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(neg.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (cosh.f64 x) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (* (* x x) (* 1/6 x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (* 1/6 x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sinh x) (- (cosh x) (exp x))) (+.f64 x x))
#s(approx (- (sinh x) (- (cosh x) (exp x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (sinh x) (- (cosh x) (exp x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (sinh x) (- (cosh x) (exp x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (cosh x) (exp x)) (neg.f64 x))
#s(approx (- (cosh x) (exp x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1 binary64)) x))
#s(approx (- (cosh x) (exp x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (- (cosh x) (exp x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal -1 binary64)) x))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (sinh.f64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (sinh.f64 x))
#s(approx (- (sinh x) (- (cosh x) (exp x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (sinh.f64 x))
#s(approx (- (cosh x) (exp x)) (-.f64 (cosh.f64 x) (exp.f64 x)))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (sinh.f64 x))

eval43.0ms (1.5%)

Memory: -7.5MiB live, 45.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 747 to 1 045 computations (62% saved)

prune28.0ms (0.9%)

Memory

-30.5MiB live, 15.5MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	248	9	257

Accuracy

100.0%

Counts

257 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	10.8%	(/.f64 (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) (exp.f64 x))) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)
✓	80.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
✓	80.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
✓	80.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
✓	34.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
✓	34.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
✓	34.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
✓	52.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 192 to 171 computations (10.9% saved)

regimes10.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) (exp.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x)) #s(literal 2 binary64))

Outputs
(sinh.f64 x)

Calls

3 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
3.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
100.0%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.3%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
80.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
80.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
80.6%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
80.6%	1	`x`
80.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
80.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))

Calls

3 calls:

2.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
80.3%	2	`x`
80.3%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
80.3%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
52.2%	1	`x`
52.2%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
52.2%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0526505044255039	68530.03334865265

Compiler

Compiled 10 to 11 computations (-10% saved)

derivations230.0ms (7.8%)

Memory

-69.4MiB live, 99.4MiB allocated; 141ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 44 to 36 computations (18.2% saved)

preprocess64.0ms (2.2%)

Memory: 7.7MiB live, 102.2MiB allocated; 22ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 189 to 171 computations (9.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (55.1%)

preprocess49.0ms (1.7%)

series3.0ms (0.1%)

rewrite232.0ms (7.9%)

eval29.0ms (1%)

prune3.0ms (0.1%)

series10.0ms (0.3%)

rewrite187.0ms (6.4%)

eval54.0ms (1.8%)

prune14.0ms (0.5%)

series8.0ms (0.3%)

rewrite121.0ms (4.1%)

eval45.0ms (1.5%)

prune10.0ms (0.3%)

series19.0ms (0.7%)

rewrite135.0ms (4.6%)

eval43.0ms (1.5%)

prune28.0ms (0.9%)

regimes10.0ms (0.3%)

regimes8.0ms (0.3%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

derivations230.0ms (7.8%)

preprocess64.0ms (2.2%)

end0.0ms (0%)

Profiling