Metrics for Hyperbolic sine

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample2.6s (66.2%)

Memory

-78.6MiB live, 1 812.6MiB allocated; 1.4s collecting garbage

Samples

1.4s	1 780×	2	valid
568.0ms	2 311×	1	valid
273.0ms	4 165×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-exp: 1.1s (55.1% of total)

ival-neg: 658.0ms (32.3% of total)

adjust: 95.0ms (4.7% of total)

ival-sub!: 93.0ms (4.6% of total)

ival-div!: 69.0ms (3.4% of total)

Bogosity

preprocess55.0ms (1.4%)

Memory

-25.5MiB live, 65.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	62	7
2	240	7
3	2676	7

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(/.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

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

7 → 23

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 (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	@	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)

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

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)

rewrite206.0ms (5.3%)

Memory

1.4MiB live, 156.0MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	346
0	109	269
1	694	262
2	5989	262
0	8515	240
1	25658	240

Stop Event

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

Counts

30 → 119

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 (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)))
(/.f64 (sinh.f64 (+.f64 x x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 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 -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(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 (.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 #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) (.f64 (sinh.f64 x) (cosh.f64 (/.f64 (-.f64 x 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))
(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 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 x)) (-.f64 (sinh.f64 x) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (sinh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) (sinh.f64 (neg.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 (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))))
(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))
(sqrt.f64 (exp.f64 (+.f64 x 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 (neg.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
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 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 (-.f64 #s(literal 0 binary64) x)) (sinh.f64 (-.f64 #s(literal 0 binary64) 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)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(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 (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)))

eval11.0ms (0.3%)

Memory: 16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 686 to 371 computations (45.9% saved)

prune4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	4	111

Accuracy

100.0%

Counts

111 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(/.f64 (sinh.f64 (+.f64 x x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
▶	100.0%	(sinh.f64 x)
▶	89.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
▶	53.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 34 to 33 computations (2.9% saved)

series32.0ms (0.8%)

Memory

-17.5MiB live, 27.8MiB allocated; 2ms collecting garbage

Counts

17 → 49

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 (sinh.f64 (+.f64 x x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(sinh.f64 (+.f64 x x))
(+.f64 x x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))
(cosh.f64 (+.f64 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 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 x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) #s(hole binary64 (* 2 (/ (* x (sqrt 1/2)) (sqrt 2)))))
#s(approx (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) #s(hole binary64 (* x (+ (* 2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (- (* 4/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ 1 (* (sqrt 1/2) (sqrt 2))))))))))
#s(approx (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) #s(hole binary64 (* x (+ (* 2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (- (+ (* 4/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (- (* 4/15 (/ (sqrt 1/2) (sqrt 2))) (* 1/16 (/ 1 (* (pow (sqrt 1/2) 3) (sqrt 2))))))) (* 1/2 (/ 1 (* (sqrt 1/2) (sqrt 2))))))))))
#s(approx (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) #s(hole binary64 (* x (+ (* 2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (- (+ (* 4/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (- (+ (* 4/15 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (- (+ (* -1 (/ (+ 17/90 (* -1/4 (/ (- 1/3 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (sqrt 2)))) (+ (* 8/315 (/ (sqrt 1/2) (sqrt 2))) (* 2/3 (/ (- 1/3 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (sqrt 2)))))) (* 1/15 (/ 1 (* (sqrt 1/2) (sqrt 2))))))) (* 1/16 (/ 1 (* (pow (sqrt 1/2) 3) (sqrt 2))))))) (* 1/2 (/ 1 (* (sqrt 1/2) (sqrt 2))))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 2 x)))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* 4/3 (pow x 2))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) #s(hole binary64 (pow (sqrt 2) 2)))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) #s(hole binary64 (+ (pow x 2) (pow (sqrt 2) 2))))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) #s(hole binary64 (+ (* (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 2/3 (/ 1 (pow (sqrt 2) 2))))))) (pow (sqrt 2) 2))))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) #s(hole binary64 (+ (* (pow x 2) (+ 1 (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (+ 4/45 (/ 1 (pow (sqrt 2) 4))) (* 2/3 (/ 1 (pow (sqrt 2) 2)))))) (* 1/2 (- 2/3 (/ 1 (pow (sqrt 2) 2)))))))) (pow (sqrt 2) 2))))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) #s(hole binary64 4))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) #s(hole binary64 (+ 4 (* 4 (pow x 2)))))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) #s(hole binary64 (+ 4 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) #s(hole binary64 (+ 4 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))))
#s(approx (+ (cosh (+ x x)) 1) #s(hole binary64 2))
#s(approx (+ (cosh (+ x x)) 1) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (+ (cosh (+ x x)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2/3 (pow x 2)))))))
#s(approx (+ (cosh (+ x x)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2/3 (* 4/45 (pow x 2)))))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (cosh (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 2/3 (pow x 2)))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2/3 (* 4/45 (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 (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) #s(hole binary64 (* 1/2 (* (/ (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))) (sqrt 2)) (sqrt (/ 1 (+ 1 (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) #s(hole binary64 (* (sqrt 2) (sqrt (+ 1 (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) #s(hole binary64 (* 2 (+ 1 (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))))
#s(approx (+ (cosh (+ x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) #s(hole binary64 (* 1/2 (* (/ (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) #s(hole binary64 (* (sqrt 2) (sqrt (+ 1 (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) #s(hole binary64 (* 2 (+ 1 (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))))
#s(approx (+ (cosh (+ x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	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) (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) (sinh (+ x x)) (+ x x) (sqrt (* 2 (+ (cosh (+ x x)) 1))) (* 2 (+ (cosh (+ x x)) 1)) 2 (+ (cosh (+ x x)) 1) (cosh (+ x x)))
6.0ms	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) (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) (sinh (+ x x)) (+ x x) (sqrt (* 2 (+ (cosh (+ x x)) 1))) (* 2 (+ (cosh (+ x x)) 1)) 2 (+ (cosh (+ x x)) 1) (cosh (+ x x)))
5.0ms	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) (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) (sinh (+ x x)) (+ x x) (sqrt (* 2 (+ (cosh (+ x x)) 1))) (* 2 (+ (cosh (+ x x)) 1)) 2 (+ (cosh (+ x x)) 1) (cosh (+ x x)))

Time

Variable

Point

Expression

9.0ms

-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) (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) (sinh (+ x x)) (+ x x) (sqrt (* 2 (+ (cosh (+ x x)) 1))) (* 2 (+ (cosh (+ x x)) 1)) 2 (+ (cosh (+ x x)) 1) (cosh (+ x x)))

6.0ms

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) (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) (sinh (+ x x)) (+ x x) (sqrt (* 2 (+ (cosh (+ x x)) 1))) (* 2 (+ (cosh (+ x x)) 1)) 2 (+ (cosh (+ x x)) 1) (cosh (+ x x)))

5.0ms

((/ (- (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) (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) (sinh (+ x x)) (+ x x) (sqrt (* 2 (+ (cosh (+ x x)) 1))) (* 2 (+ (cosh (+ x x)) 1)) 2 (+ (cosh (+ x x)) 1) (cosh (+ x x)))

rewrite225.0ms (5.8%)

Memory

36.2MiB live, 161.7MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	1331
0	294	976
1	2237	916
0	9763	853
1	24108	853

Stop Event

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

Counts

66 → 177

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 (sinh.f64 (+.f64 x x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(sinh.f64 (+.f64 x x))
(+.f64 x x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))
(cosh.f64 (+.f64 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 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 x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) #s(hole binary64 (* 2 (/ (* x (sqrt 1/2)) (sqrt 2)))))
#s(approx (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) #s(hole binary64 (* x (+ (* 2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (- (* 4/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ 1 (* (sqrt 1/2) (sqrt 2))))))))))
#s(approx (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) #s(hole binary64 (* x (+ (* 2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (- (+ (* 4/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (- (* 4/15 (/ (sqrt 1/2) (sqrt 2))) (* 1/16 (/ 1 (* (pow (sqrt 1/2) 3) (sqrt 2))))))) (* 1/2 (/ 1 (* (sqrt 1/2) (sqrt 2))))))))))
#s(approx (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) #s(hole binary64 (* x (+ (* 2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (- (+ (* 4/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (- (+ (* 4/15 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (- (+ (* -1 (/ (+ 17/90 (* -1/4 (/ (- 1/3 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (sqrt 2)))) (+ (* 8/315 (/ (sqrt 1/2) (sqrt 2))) (* 2/3 (/ (- 1/3 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (sqrt 2)))))) (* 1/15 (/ 1 (* (sqrt 1/2) (sqrt 2))))))) (* 1/16 (/ 1 (* (pow (sqrt 1/2) 3) (sqrt 2))))))) (* 1/2 (/ 1 (* (sqrt 1/2) (sqrt 2))))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 2 x)))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* 4/3 (pow x 2))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) #s(hole binary64 (pow (sqrt 2) 2)))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) #s(hole binary64 (+ (pow x 2) (pow (sqrt 2) 2))))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) #s(hole binary64 (+ (* (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 2/3 (/ 1 (pow (sqrt 2) 2))))))) (pow (sqrt 2) 2))))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) #s(hole binary64 (+ (* (pow x 2) (+ 1 (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (+ 4/45 (/ 1 (pow (sqrt 2) 4))) (* 2/3 (/ 1 (pow (sqrt 2) 2)))))) (* 1/2 (- 2/3 (/ 1 (pow (sqrt 2) 2)))))))) (pow (sqrt 2) 2))))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) #s(hole binary64 4))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) #s(hole binary64 (+ 4 (* 4 (pow x 2)))))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) #s(hole binary64 (+ 4 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) #s(hole binary64 (+ 4 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))))
#s(approx (+ (cosh (+ x x)) 1) #s(hole binary64 2))
#s(approx (+ (cosh (+ x x)) 1) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (+ (cosh (+ x x)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2/3 (pow x 2)))))))
#s(approx (+ (cosh (+ x x)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2/3 (* 4/45 (pow x 2)))))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (cosh (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 2/3 (pow x 2)))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2/3 (* 4/45 (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 (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) #s(hole binary64 (* 1/2 (* (/ (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))) (sqrt 2)) (sqrt (/ 1 (+ 1 (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) #s(hole binary64 (* (sqrt 2) (sqrt (+ 1 (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) #s(hole binary64 (* 2 (+ 1 (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))))
#s(approx (+ (cosh (+ x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) #s(hole binary64 (* 1/2 (* (/ (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) #s(hole binary64 (* (sqrt 2) (sqrt (+ 1 (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) #s(hole binary64 (* 2 (+ 1 (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))))
#s(approx (+ (cosh (+ x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))

Outputs
#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)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sinh.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 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 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(*.f64 (sinh.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sinh.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (exp.f64 (neg.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (sinh.f64 (neg.f64 (+.f64 x x))) (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (sinh.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))
(sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (sinh.f64 x) (cosh.f64 x)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (.f64 (cosh.f64 x) (sinh.f64 x)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(sinh.f64 (+.f64 x x))
(neg.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)))
(fma.f64 (sinh.f64 x) (cosh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
(-.f64 (.f64 (sinh.f64 x) (cosh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
(+.f64 (.f64 (sinh.f64 x) (cosh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 x (neg.f64 x))
(+.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(pow.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (+.f64 x x)) #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (+.f64 x x)) #s(literal 0 binary64)) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (+.f64 x x) #s(literal 0 binary64)) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x x))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x x))) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 2 binary64))
(+.f64 (*.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64))
(+.f64 (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
#s(literal 2 binary64)
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (+.f64 x x)) #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (+.f64 x x)) #s(literal 0 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (+.f64 x x) #s(literal 0 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x x))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x x))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal -1 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))
(+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cosh.f64 (+.f64 x x)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64))
(fma.f64 (fabs.f64 (sinh.f64 x)) (fabs.f64 (sinh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(fma.f64 (fabs.f64 (cosh.f64 x)) (fabs.f64 (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x)))
(fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x)))
(fma.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(fma.f64 (cosh.f64 x) (cosh.f64 x) (*.f64 (sinh.f64 x) (sinh.f64 x)))
(fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(cosh.f64 (neg.f64 (neg.f64 (+.f64 x x))))
(cosh.f64 (neg.f64 (+.f64 x x)))
(cosh.f64 (*.f64 #s(literal -2 binary64) x))
(cosh.f64 (+.f64 x x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
(-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 (neg.f64 x))))
(+.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
(+.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (cosh.f64 x)))
(+.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x)))
#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 (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) #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 (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2/15 binary64) (.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh (+ x x)) (+.f64 x x))
#s(approx (sinh (+ x x)) (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sinh (+ x x)) (.f64 (fma.f64 (fma.f64 #s(literal 4/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sinh (+ x x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/315 binary64) (.f64 x x) #s(literal 4/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) #s(literal 2 binary64))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/180 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) #s(literal 4 binary64))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 4 binary64)))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 4 binary64)) (.f64 x x) #s(literal 4 binary64)))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 4 binary64)) (*.f64 x x) #s(literal 4 binary64)))
#s(approx (+ (cosh (+ x x)) 1) #s(literal 2 binary64))
#s(approx (+ (cosh (+ x x)) 1) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (+ (cosh (+ x x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cosh (+ x x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (cosh (+ x x)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (cosh (+ x x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x 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) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) 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) (exp (neg x))) 2) (sinh.f64 x))
#s(approx (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (sinh (+ x x)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) (sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (+ (cosh (+ x x)) 1) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh (+ x x)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (sinh.f64 x))
#s(approx (/ (sinh (+ x x)) (sqrt (* 2 (+ (cosh (+ x x)) 1)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (sinh (+ x x)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 2 (+ (cosh (+ x x)) 1))) (sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* 2 (+ (cosh (+ x x)) 1)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (+ (cosh (+ x x)) 1) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh (+ x x)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1/2 binary64)))

eval16.0ms (0.4%)

Memory: -17.5MiB live, 29.4MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 334 to 699 computations (47.6% saved)

prune5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	148	4	152
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	149	7	156

Accuracy

100.0%

Counts

156 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(/.f64 (sinh.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))
✓	100.0%	(sinh.f64 x)
✓	89.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
▶	89.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
▶	41.2%	#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))
▶	41.2%	#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))))
✓	53.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 82 to 81 computations (1.2% saved)

series30.0ms (0.8%)

Memory

-31.2MiB live, 26.6MiB allocated; 16ms collecting garbage

Counts

23 → 40

Calls

Call 1

Inputs
#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)
(*.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 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1 binary64)
(/.f64 (sinh.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))
(sinh.f64 (+.f64 x x))
(+.f64 x x)
(sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))
(cosh.f64 (+.f64 x 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) 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) #s(hole binary64 (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) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x 1/6) #s(hole binary64 (* 1/6 x)))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 2 x)))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* 4/3 (pow x 2))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) #s(hole binary64 2))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (cosh (+ x x)) 2) 2) #s(hole binary64 4))
#s(approx (+ (* (cosh (+ x x)) 2) 2) #s(hole binary64 (+ 4 (* 4 (pow x 2)))))
#s(approx (+ (* (cosh (+ x x)) 2) 2) #s(hole binary64 (+ 4 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))))
#s(approx (+ (* (cosh (+ x x)) 2) 2) #s(hole binary64 (+ 4 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (cosh (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 2/3 (pow x 2)))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2/3 (* 4/45 (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 (* (pow x 3) (+ 1/6 (/ 1 (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 x)) (sqrt (+ (* (cosh (+ x x)) 2) 2))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (+ 2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) #s(hole binary64 (sqrt (+ 2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))
#s(approx (+ (* (cosh (+ x x)) 2) 2) #s(hole binary64 (+ 2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (sinh (+ x x)) (sqrt (+ (* (cosh (+ x x)) 2) 2))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (+ 2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) #s(hole binary64 (sqrt (+ 2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))
#s(approx (+ (* (cosh (+ x x)) 2) 2) #s(hole binary64 (+ 2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))

Calls

3 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* 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) (* (+ (* x (* x 1/6)) 1) x) (+ (* x (* x 1/6)) 1) (* x 1/6) 1 (/ (sinh (+ x x)) (sqrt (+ (* (cosh (+ x x)) 2) 2))) (sinh (+ x x)) (+ x x) (sqrt (+ (* (cosh (+ x x)) 2) 2)) (+ (* (cosh (+ x x)) 2) 2) (cosh (+ x x)) 2)
5.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* 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) (* (+ (* x (* x 1/6)) 1) x) (+ (* x (* x 1/6)) 1) (* x 1/6) 1 (/ (sinh (+ x x)) (sqrt (+ (* (cosh (+ x x)) 2) 2))) (sinh (+ x x)) (+ x x) (sqrt (+ (* (cosh (+ x x)) 2) 2)) (+ (* (cosh (+ x x)) 2) 2) (cosh (+ x x)) 2)
3.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* 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) (* (+ (* x (* x 1/6)) 1) x) (+ (* x (* x 1/6)) 1) (* x 1/6) 1 (/ (sinh (+ x x)) (sqrt (+ (* (cosh (+ x x)) 2) 2))) (sinh (+ x x)) (+ x x) (sqrt (+ (* (cosh (+ x x)) 2) 2)) (+ (* (cosh (+ x x)) 2) 2) (cosh (+ x x)) 2)

Time

Variable

Point

Expression

21.0ms

inf

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

5.0ms

-inf

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

3.0ms

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

rewrite174.0ms (4.5%)

Memory

30.3MiB live, 215.8MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	948
0	223	827
1	1277	755
0	8292	725
1	26330	725

Stop Event

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

Counts

63 → 216

Calls

Call 1

Inputs
#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)
(*.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 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1 binary64)
(/.f64 (sinh.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))
(sinh.f64 (+.f64 x x))
(+.f64 x x)
(sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))
(cosh.f64 (+.f64 x 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) 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) #s(hole binary64 (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) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x 1/6) #s(hole binary64 (* 1/6 x)))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 2 x)))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* 4/3 (pow x 2))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) #s(hole binary64 2))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (cosh (+ x x)) 2) 2) #s(hole binary64 4))
#s(approx (+ (* (cosh (+ x x)) 2) 2) #s(hole binary64 (+ 4 (* 4 (pow x 2)))))
#s(approx (+ (* (cosh (+ x x)) 2) 2) #s(hole binary64 (+ 4 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))))
#s(approx (+ (* (cosh (+ x x)) 2) 2) #s(hole binary64 (+ 4 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (cosh (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 2/3 (pow x 2)))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2/3 (* 4/45 (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 (* (pow x 3) (+ 1/6 (/ 1 (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 x)) (sqrt (+ (* (cosh (+ x x)) 2) 2))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (+ 2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) #s(hole binary64 (sqrt (+ 2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))
#s(approx (+ (* (cosh (+ x x)) 2) 2) #s(hole binary64 (+ 2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (sinh (+ x x)) (sqrt (+ (* (cosh (+ x x)) 2) 2))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (+ 2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) #s(hole binary64 (sqrt (+ 2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))
#s(approx (+ (* (cosh (+ x x)) 2) 2) #s(hole binary64 (+ 2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))
#s(approx (cosh (+ x x)) #s(hole binary64 (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))

Outputs
#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) (*.f64 #s(literal 1/6 binary64) x))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.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 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) 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 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.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)
(.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 x x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/6 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))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(-.f64 (.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(-.f64 (.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x))
(-.f64 (.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x)))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (*.f64 x x)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1 binary64)
(.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 (sinh.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (sinh.f64 (+.f64 x x)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 (sinh.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))
(neg.f64 (/.f64 (sinh.f64 (+.f64 x x)) (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 (sinh.f64 x) (cosh.f64 x)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (.f64 (cosh.f64 x) (sinh.f64 x)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(sinh.f64 (+.f64 x x))
(neg.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 1/2 binary64)))
(neg.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(neg.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)))
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64) (.f64 (neg.f64 (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64) (/.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (+.f64 x x)) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)))))
(fma.f64 (sinh.f64 x) (cosh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))
(-.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (sinh.f64 x) (cosh.f64 x)) (.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x)))
(-.f64 (.f64 (sinh.f64 x) (cosh.f64 x)) (neg.f64 (.f64 (cosh.f64 x) (sinh.f64 x))))
(-.f64 (.f64 (sinh.f64 x) (cosh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
(+.f64 (.f64 (sinh.f64 x) (cosh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(-.f64 x (neg.f64 x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))
(+.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 x (neg.f64 (neg.f64 x)))
(+.f64 x (*.f64 #s(literal 1 binary64) x))
(+.f64 x x)
(pow.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) #s(literal -2 binary64)))
(neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64))))
(fma.f64 (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(-.f64 (*.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (cosh.f64 (+.f64 x x))) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (+.f64 x x))))
(-.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64))))
(+.f64 (.f64 (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (*.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64)))
(.f64 (.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (.f64 (cosh.f64 x) (cosh.f64 x)))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/4 binary64) (.f64 (cosh.f64 x) (cosh.f64 x)))
(fma.f64 (fabs.f64 (cosh.f64 x)) (fabs.f64 (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x)))
(fma.f64 (fabs.f64 (sinh.f64 x)) (fabs.f64 (sinh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x)))
(fma.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(fma.f64 (cosh.f64 x) (cosh.f64 x) (*.f64 (sinh.f64 x) (sinh.f64 x)))
(fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)) (.f64 #s(literal 1/2 binary64) (exp.f64 (+.f64 x x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (+.f64 x x)) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(cosh.f64 (*.f64 #s(literal -2 binary64) x))
(cosh.f64 (+.f64 x x))
(-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (+.f64 x x))) (.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(-.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
(-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 x)))
(-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (neg.f64 (.f64 (sinh.f64 x) (sinh.f64 x))))
(-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 (neg.f64 x))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (+.f64 x x))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (+.f64 x x))) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (cosh.f64 x)))
(+.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.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 (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) 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) (*.f64 x 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) 1/6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* x 1/6) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (sinh (+ x x)) (+.f64 x x))
#s(approx (sinh (+ x x)) (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sinh (+ x x)) (.f64 (fma.f64 (fma.f64 #s(literal 4/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sinh (+ x x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/315 binary64) (.f64 x x) #s(literal 4/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) #s(literal 2 binary64))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (cosh (+ x x)) 2) 2) #s(literal 4 binary64))
#s(approx (+ (* (cosh (+ x x)) 2) 2) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 4 binary64)))
#s(approx (+ (* (cosh (+ x x)) 2) 2) (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 4 binary64)) (.f64 x x) #s(literal 4 binary64)))
#s(approx (+ (* (cosh (+ x x)) 2) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 4 binary64)) (*.f64 x x) #s(literal 4 binary64)))
#s(approx (cosh (+ x x)) (fma.f64 x (+.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh (+ x x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x 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 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh (+ x x)) (sqrt (+ (* (cosh (+ x x)) 2) 2))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (sinh (+ x x)) (sinh.f64 (+.f64 x x)))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))
#s(approx (+ (* (cosh (+ x x)) 2) 2) (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (cosh (+ x x)) (cosh.f64 (+.f64 x x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (sinh.f64 x))
#s(approx (/ (sinh (+ x x)) (sqrt (+ (* (cosh (+ x x)) 2) 2))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (sinh (+ x x)) (sinh.f64 (+.f64 x x)))
#s(approx (sqrt (+ (* (cosh (+ x x)) 2) 2)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))
#s(approx (+ (* (cosh (+ x x)) 2) 2) (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (cosh (+ x x)) (cosh.f64 (+.f64 x x)))

eval23.0ms (0.6%)

Memory: -7.5MiB live, 37.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 696 to 886 computations (47.8% saved)

prune7.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	206	2	208
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	208	7	215

Accuracy

100.0%

Counts

215 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.6%	(/.f64 (sinh.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))
✓	100.0%	(sinh.f64 x)
✓	89.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
▶	41.2%	#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))
✓	41.2%	#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))))
▶	41.2%	#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))))
✓	53.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 88 to 87 computations (1.1% saved)

series9.0ms (0.2%)

Memory

-33.2MiB live, 12.6MiB allocated; 5ms collecting garbage

Counts

11 → 14

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)

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 x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ (- (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 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 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
6.0ms	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))
2.0ms	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))
1.0ms	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))

Time

Variable

Point

Expression

6.0ms

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))

2.0ms

-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))

1.0ms

((/ (- (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))

rewrite186.0ms (4.8%)

Memory

31.2MiB live, 180.6MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	334
0	76	267
1	382	245
2	2782	245
0	9259	227
1	24102	227

Stop Event

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

Counts

25 → 84

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)
#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 x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ (- (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 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 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) #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 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 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 #s(literal 1/6 binary64) (.f64 (*.f64 x x) x))
(.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 (.f64 (neg.f64 x) #s(literal -1 binary64))) x)
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) 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 (fabs.f64 (.f64 #s(literal -1 binary64) (neg.f64 x))))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (neg.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))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
x
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(fabs.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(fabs.f64 (*.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 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 (fabs.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x))) x)
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 x (fabs.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))))
(.f64 x (.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))
(fabs.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(fabs.f64 (.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) (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 x) (* 1/6 x)) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (* x x) (*.f64 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) (sinh.f64 x))
#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) (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))

eval11.0ms (0.3%)

Memory: -23.4MiB live, 22.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 568 to 340 computations (40.1% saved)

prune6.0ms (0.2%)

Memory

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

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	0	0
Picked	0	2	2
Done	1	4	5
Total	79	7	86

Accuracy

100.0%

Counts

86 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.6%	(/.f64 (sinh.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))))
✓	100.0%	(sinh.f64 x)
	89.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
✓	41.2%	#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))
✓	41.2%	#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))))
✓	41.2%	#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))))
✓	53.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 168 to 145 computations (13.7% saved)

regimes13.0ms (0.3%)

Memory

-22.8MiB live, 23.2MiB allocated; 5ms collecting garbage

Counts

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

Outputs
(sinh.f64 x)

Calls

3 calls:

6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms	x
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)

regimes7.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

8 → 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 x (.f64 x #s(literal 1/6 binary64)) #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 (.f64 x x) x) #s(literal 1/6 binary64) x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) 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
89.3%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
89.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
89.3%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB 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 x (.f64 x #s(literal 1/6 binary64)) #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 x (.f64 x #s(literal 1/6 binary64)) #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
89.3%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
89.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
89.3%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes16.0ms (0.4%)

Memory

-37.5MiB live, 13.0MiB allocated; 15ms 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:

12.0ms	x
2.0ms	(/.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
88.8%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
88.8%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
88.8%	2	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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
53.4%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
53.4%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
53.4%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch13.0ms (0.3%)

Memory

26.5MiB live, 26.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.06911277808823318	5338.632843186603

Samples

7.0ms

144×

valid

Compiler

Compiled 254 to 272 computations (-7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 3.0ms (70.8% of total)

ival-neg: 1.0ms (23.6% of total)

ival-div!: 1.0ms (23.6% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

derivations208.0ms (5.3%)

Memory

-36.5MiB live, 150.0MiB allocated; 33ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 43 to 32 computations (25.6% saved)

preprocess52.0ms (1.3%)

Memory: 10.0MiB live, 103.1MiB allocated; 11ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 176 to 155 computations (11.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.6s (66.2%)

preprocess55.0ms (1.4%)

series3.0ms (0.1%)

rewrite206.0ms (5.3%)

eval11.0ms (0.3%)

prune4.0ms (0.1%)

series32.0ms (0.8%)

rewrite225.0ms (5.8%)

eval16.0ms (0.4%)

prune5.0ms (0.1%)

series30.0ms (0.8%)

rewrite174.0ms (4.5%)

eval23.0ms (0.6%)

prune7.0ms (0.2%)

series9.0ms (0.2%)

rewrite186.0ms (4.8%)

eval11.0ms (0.3%)

prune6.0ms (0.2%)

regimes13.0ms (0.3%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes16.0ms (0.4%)

regimes3.0ms (0.1%)

bsearch13.0ms (0.3%)

derivations208.0ms (5.3%)

preprocess52.0ms (1.3%)

end0.0ms (0%)

Profiling