Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample2.8s (35.6%)

Memory

71.5MiB live, 1 571.6MiB allocated; 341ms collecting garbage

Samples

2.1s	5 793×	2	valid
316.0ms	2 323×	1	valid
7.0ms	140×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-exp: 1.7s (78.6% of total)

adjust: 299.0ms (13.8% of total)

ival-sub!: 70.0ms (3.2% of total)

ival-add!: 60.0ms (2.8% of total)

ival-neg: 36.0ms (1.7% of total)

Bogosity

preprocess49.0ms (0.6%)

Memory

-33.1MiB live, 19.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	54	24
2	202	18
3	1364	18

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.1%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Symmetry

(abs x)

Compiler

Compiled 14 to 14 computations (0% saved)

series90.0ms (1.1%)

Memory

28.8MiB live, 28.8MiB allocated; 0ms collecting garbage

Counts

7 → 23

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(approx (- (exp x) 2) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (- (exp x) 2) (-.f64 (exp.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) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

1.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

rewrite801.0ms (10%)

Memory

1.8MiB live, 239.5MiB allocated; 134ms collecting garbage

Counts

7 → 162

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 #s(literal 2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (neg.f64 #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64)))
(+.f64 (neg.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(+.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (sinh.f64 (neg.f64 x)))
(+.f64 (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (sinh.f64 x)) (cosh.f64 x))
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (-.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))
(+.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (sinh.f64 x)))
(+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (cosh.f64 x) (-.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))))
(+.f64 (/.f64 (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(-.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (sinh.f64 x))
(-.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 x)))
(-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)) #s(literal 1 binary64))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(-.f64 (exp.f64 x) (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(-.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (exp.f64 x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (exp.f64 x))) #s(literal 1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (fma.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) (neg.f64 #s(literal 2 binary64)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(fma.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (cosh.f64 x) (-.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (sinh.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (cosh.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (cosh.f64 x) (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 x))))
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (cosh.f64 x)))
(+.f64 (exp.f64 x) (neg.f64 #s(literal 2 binary64)))
(+.f64 (expm1.f64 x) (neg.f64 #s(literal 1 binary64)))
(+.f64 (neg.f64 #s(literal 2 binary64)) (exp.f64 x))
(+.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x))
(+.f64 (+.f64 (neg.f64 #s(literal 2 binary64)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (neg.f64 #s(literal 1 binary64)) (+.f64 (neg.f64 #s(literal 1 binary64)) (exp.f64 x)))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 2 binary64)))
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) (neg.f64 #s(literal 2 binary64))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(-.f64 (+.f64 (neg.f64 #s(literal 2 binary64)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 (exp.f64 x)))
(-.f64 (sinh.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (neg.f64 #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (cosh.f64 x) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (cosh.f64 x) (neg.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x)))
(fabs.f64 (exp.f64 x))
(fabs.f64 (neg.f64 (exp.f64 x)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(exp.f64 x)
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (sinh.f64 x))
(neg.f64 (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(sqrt.f64 (exp.f64 (+.f64 x x)))
x
(neg.f64 (neg.f64 x))
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (neg.f64 (neg.f64 #s(literal 1 binary64))) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(literal 0 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(neg.f64 (neg.f64 #s(literal 2 binary64)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (exp.f64 (neg.f64 x)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(+.f64 (.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)) (.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))) (.f64 #s(literal 1 binary64) (cosh.f64 x)))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (sinh.f64 (neg.f64 x)))
(+.f64 (.f64 (cosh.f64 x) #s(literal 1 binary64)) (.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (neg.f64 #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(neg.f64 x)

eval25.0ms (0.3%)

Memory: -32.5MiB live, 14.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 1 153 to 521 computations (54.8% saved)

prune7.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	173	6	179
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	6	180

Accuracy

100.0%

Counts

180 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.1%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
▶	59.3%	(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
▶	55.2%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶	97.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
▶	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
	98.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))

Compiler

Compiled 132 to 126 computations (4.5% saved)

series158.0ms (2%)

Memory

-9.9MiB live, 36.5MiB allocated; 4ms collecting garbage

Counts

25 → 56

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/360 binary64)
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(cosh.f64 x)
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 (expm1.f64 x))
(expm1.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx x x)
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) #s(literal 1 binary64))
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1/12 (* 1/360 (pow x 2))) #s(literal 1/12 binary64))
#s(approx (+ 1/12 (* 1/360 (pow x 2))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/360 (pow x 2)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(approx (- (exp x) 2) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) #s(literal 1 binary64)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 2 (cosh x)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* 2 (cosh x)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
#s(approx (neg (- (exp x) 1)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (neg (- (exp x) 1)) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (neg (- (exp x) 1)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ 1/12 (* 1/360 (pow x 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp x) 2) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (- (* 2 (cosh x)) 2) (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))
#s(approx (* 2 (cosh x)) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (neg (- (exp x) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) x)))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (pow x 2) x 2 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) (+ 1/12 (* 1/360 (pow x 2))) 1/12 (* 1/360 (pow x 2)) 1/360 (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (- (exp (neg x)) 1) (neg (- (exp x) 1)) (- (exp x) 1))
3.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (pow x 2) x 2 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) (+ 1/12 (* 1/360 (pow x 2))) 1/12 (* 1/360 (pow x 2)) 1/360 (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (- (exp (neg x)) 1) (neg (- (exp x) 1)) (- (exp x) 1))
2.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (pow x 2) x 2 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) (+ 1/12 (* 1/360 (pow x 2))) 1/12 (* 1/360 (pow x 2)) 1/360 (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (- (exp (neg x)) 1) (neg (- (exp x) 1)) (- (exp x) 1))

Time

Variable

Point

Expression

4.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (pow x 2) x 2 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) (+ 1/12 (* 1/360 (pow x 2))) 1/12 (* 1/360 (pow x 2)) 1/360 (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (- (exp (neg x)) 1) (neg (- (exp x) 1)) (- (exp x) 1))

3.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (pow x 2) x 2 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) (+ 1/12 (* 1/360 (pow x 2))) 1/12 (* 1/360 (pow x 2)) 1/360 (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (- (exp (neg x)) 1) (neg (- (exp x) 1)) (- (exp x) 1))

2.0ms

((+ (- (exp x) 2) (exp (neg x))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (pow x 2) x 2 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) (+ 1/12 (* 1/360 (pow x 2))) 1/12 (* 1/360 (pow x 2)) 1/360 (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (- (exp (neg x)) 1) (neg (- (exp x) 1)) (- (exp x) 1))

rewrite1.3s (16.2%)

Memory

8.7MiB live, 487.1MiB allocated; 55ms collecting garbage

Counts

25 → 1 233

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/360 binary64)
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(cosh.f64 x)
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 (expm1.f64 x))
(expm1.f64 x)

Outputs
#s(approx (- (* 2 (cosh x)) 2) (.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))
(.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x)
(.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(.f64 x (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))))
(.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))) (.f64 x x))
(+.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(+.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))))
(+.f64 (fma.f64 x x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x))))
(+.f64 (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 x x)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 x x)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))) (neg.f64 (.f64 x x)))
(-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))
(fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) x) (.f64 x (.f64 x x)) (*.f64 x x))
(fma.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) x) (*.f64 x x))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))) (.f64 x x) (*.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))) #s(literal 1 binary64) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 x x)) #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (fabs.f64 x)) (fabs.f64 x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x)) x (*.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x) x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (neg.f64 x)) (neg.f64 x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 x #s(literal 1/12 binary64)) x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (.f64 x x)))
(fma.f64 x (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x)) (*.f64 x x))
(fma.f64 x (.f64 x (.f64 (.f64 x #s(literal 1/12 binary64)) x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 x #s(literal 1/12 binary64)) x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x))))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x))))
(fma.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/12 binary64)) x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) x) (.f64 x #s(literal 1/12 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))))
(fma.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))))
(fma.f64 x x (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64))) x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))))
(fma.f64 x (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))))
(fma.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))) (fabs.f64 x)) (fabs.f64 x) (*.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))) (neg.f64 x)) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)))) (*.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)))) (*.f64 x x))
(fma.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 x x)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 x #s(literal 1/12 binary64)) x)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) x) (.f64 x #s(literal 1/12 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 x x)) #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (fabs.f64 x)) (fabs.f64 x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 x (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x x)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 x (.f64 x (.f64 (.f64 x #s(literal 1/12 binary64)) x)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 x #s(literal 1/12 binary64)) x)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64))) x (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x) x (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (neg.f64 x)) (neg.f64 x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 x x)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 x #s(literal 1/12 binary64)) x)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 x x) x) (.f64 x #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (.f64 x x)) #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(fma.f64 x (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x x)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(fma.f64 x (.f64 x (.f64 (.f64 x #s(literal 1/12 binary64)) x)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 x #s(literal 1/12 binary64)) x)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64))) x (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1 binary64))))
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(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(expm1.f64 x)
(expm1.f64 (+.f64 #s(literal 0 binary64) x))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (neg.f64 #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (cosh.f64 x) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cosh.f64 x) (neg.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))

eval162.0ms (2%)

Memory: 35.3MiB live, 177.8MiB allocated; 65ms collecting garbage
Compiler: Compiled 10 617 to 3 830 computations (63.9% saved)

prune23.0ms (0.3%)

Memory

-3.1MiB live, 41.6MiB allocated; 7ms collecting garbage

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 239	4	1 243
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 243	6	1 249

Accuracy

100.0%

Counts

1 249 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.1%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
▶	55.3%	(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
▶	59.3%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
✓	55.2%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶	97.8%	#s(approx (- (* 2 (cosh x)) 2) (*.f64 x x))
▶	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))

Compiler

Compiled 49 to 49 computations (0% saved)

series119.0ms (1.5%)

Memory

-4.4MiB live, 86.2MiB allocated; 13ms collecting garbage

Counts

18 → 38

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
(.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x)
(fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(approx (- (* 2 (cosh x)) 2) (*.f64 x x))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(expm1.f64 x)
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x)
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* (* x 1/360) x) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x 1/360) x) 1/12) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x 1/360) (*.f64 #s(literal 1/360 binary64) x))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 2 (cosh x)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* 2 (cosh x)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (* x 1/360) x) 1/12) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x 1/360) x) 1/12) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* 2 (cosh x)) 2) (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (* 2 (cosh x)) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/360 binary64)))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) x)))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (+ (* (* x 1/360) x) 1/12) (* x 1/360) x 1/360 1/12 (* (* x x) x) (* x x) (- (* 2 (cosh x)) 2) (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (neg x) (- (exp x) 1) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) 2)
2.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (+ (* (* x 1/360) x) 1/12) (* x 1/360) x 1/360 1/12 (* (* x x) x) (* x x) (- (* 2 (cosh x)) 2) (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (neg x) (- (exp x) 1) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) 2)
2.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (+ (* (* x 1/360) x) 1/12) (* x 1/360) x 1/360 1/12 (* (* x x) x) (* x x) (- (* 2 (cosh x)) 2) (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (neg x) (- (exp x) 1) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) 2)

Time

Variable

Point

Expression

3.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (+ (* (* x 1/360) x) 1/12) (* x 1/360) x 1/360 1/12 (* (* x x) x) (* x x) (- (* 2 (cosh x)) 2) (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (neg x) (- (exp x) 1) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) 2)

2.0ms

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (+ (* (* x 1/360) x) 1/12) (* x 1/360) x 1/360 1/12 (* (* x x) x) (* x x) (- (* 2 (cosh x)) 2) (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (neg x) (- (exp x) 1) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) 2)

2.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (+ (* (* x 1/360) x) 1/12) (* x 1/360) x 1/360 1/12 (* (* x x) x) (* x x) (- (* 2 (cosh x)) 2) (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (neg x) (- (exp x) 1) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) 2)

rewrite1.1s (14.1%)

Memory

-1.8MiB live, 677.7MiB allocated; 197ms collecting garbage

Counts

18 → 523

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
(.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x)
(fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(approx (- (* 2 (cosh x)) 2) (*.f64 x x))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(expm1.f64 x)
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (- (* 2 (cosh x)) 2) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
(.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))
(.f64 x (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x))
(+.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
(-.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (neg.f64 (.f64 x x)))
(-.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))))
(-.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x))))
(-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (neg.f64 (.f64 (.f64 x x) x))) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x))))
(-.f64 (.f64 x x) (neg.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 x x) x) x))))
(fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 x x) x) x) (*.f64 x x))
(fma.f64 (.f64 x (.f64 (.f64 x x) x)) (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 x x)) (.f64 x x) (*.f64 x x))
(fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x)) x (*.f64 x x))
(fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x) (*.f64 x x))
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x
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(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.f64 (+.f64 (neg.f64 #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 (expm1.f64 (neg.f64 x)) #s(literal 0 binary64))
(-.f64 (sinh.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 x)) (exp.f64 x))
(/.f64 (fma.f64 (neg.f64 #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (expm1.f64 x) (neg.f64 (exp.f64 x)))
(/.f64 (fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (exp.f64 x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64))) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (neg.f64 x))
(expm1.f64 (*.f64 x #s(literal -1 binary64)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (neg.f64 #s(literal 1 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (cosh.f64 x) (neg.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cosh.f64 x) (neg.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))))
(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))) (neg.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(neg.f64 x)
(neg.f64 (-.f64 x #s(literal 0 binary64)))
(+.f64 (exp.f64 x) (neg.f64 #s(literal 1 binary64)))
(+.f64 (neg.f64 #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 (+.f64 (neg.f64 #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) (neg.f64 #s(literal 1 binary64))))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (expm1.f64 x) #s(literal 0 binary64))
(-.f64 (+.f64 (neg.f64 #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (exp.f64 x)))
(-.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(expm1.f64 x)
(expm1.f64 (+.f64 #s(literal 0 binary64) x))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (neg.f64 #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (cosh.f64 x) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (*.f64 (cosh.f64 x) (neg.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(neg.f64 (neg.f64 #s(literal 2 binary64)))

eval57.0ms (0.7%)

Memory: 3.7MiB live, 48.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 704 to 1 518 computations (67.7% saved)

prune16.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	558	2	560
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	558	8	566

Accuracy

100.0%

Counts

566 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.1%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	55.3%	(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	59.3%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
▶	57.2%	(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
✓	55.2%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
✓	97.8%	#s(approx (- (* 2 (cosh x)) 2) (*.f64 x x))
✓	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
▶	98.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))

Compiler

Compiled 78 to 78 computations (0% saved)

series115.0ms (1.4%)

Memory

-15.4MiB live, 31.6MiB allocated; 2ms collecting garbage

Counts

13 → 31

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
(.f64 (fma.f64 #s(approx (+ ( (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x)
(fma.f64 #s(approx (+ (* (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x)
#s(approx (+ (* (* x 1/360) x) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(expm1.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x)
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* (* x 1/360) x) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x 1/360) x) 1/12) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (* x 1/360) x) 1/12) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x 1/360) x) 1/12) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/360 binary64)))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) x)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (+ (* (* x 1/360) x) 1/12) 1/12 (* (* x x) x) (* x x) x (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (* -1 x) -1 (- (exp x) 1))
2.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (+ (* (* x 1/360) x) 1/12) 1/12 (* (* x x) x) (* x x) x (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (* -1 x) -1 (- (exp x) 1))
1.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (+ (* (* x 1/360) x) 1/12) 1/12 (* (* x x) x) (* x x) x (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (* -1 x) -1 (- (exp x) 1))

Time

Variable

Point

Expression

2.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (+ (* (* x 1/360) x) 1/12) 1/12 (* (* x x) x) (* x x) x (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (* -1 x) -1 (- (exp x) 1))

2.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (+ (* (* x 1/360) x) 1/12) 1/12 (* (* x x) x) (* x x) x (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (* -1 x) -1 (- (exp x) 1))

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x 1/360) x) 1/12) (* (* x x) x)) x) (+ (* (* x 1/360) x) 1/12) 1/12 (* (* x x) x) (* x x) x (+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (* -1 x) -1 (- (exp x) 1))

rewrite871.0ms (10.9%)

Memory

22.5MiB live, 453.9MiB allocated; 79ms collecting garbage

Counts

13 → 103

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
(.f64 (fma.f64 #s(approx (+ ( (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x)
(fma.f64 #s(approx (+ (* (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x)
#s(approx (+ (* (* x 1/360) x) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(expm1.f64 x)

Outputs
#s(approx (- (* 2 (cosh x)) 2) (.f64 (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
(.f64 (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x)
(fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x)
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(neg.f64 (neg.f64 #s(literal 1/12 binary64)))
(.f64 (.f64 x x) x)
(.f64 (neg.f64 #s(literal -1 binary64)) (.f64 (*.f64 x x) x))
(.f64 (.f64 (*.f64 x x) x) (neg.f64 #s(literal -1 binary64)))
(.f64 x (.f64 x x))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 x))
(.f64 (neg.f64 (.f64 (*.f64 x x) x)) #s(literal -1 binary64))
(.f64 (.f64 (fabs.f64 x) x) (fabs.f64 x))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 (*.f64 x x) x)))
(.f64 (neg.f64 x) (neg.f64 (.f64 x x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (.f64 x (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) x))
(neg.f64 (neg.f64 (.f64 (.f64 x x) x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x (+.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 x x)
(.f64 (neg.f64 #s(literal -1 binary64)) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) (fabs.f64 #s(literal -1 binary64)))
(.f64 (.f64 x x) (neg.f64 #s(literal -1 binary64)))
(.f64 (fabs.f64 #s(literal -1 binary64)) (.f64 x x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 (neg.f64 #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x x)))
(.f64 (.f64 (neg.f64 #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64))
(.f64 (neg.f64 (.f64 x x)) (*.f64 #s(literal -1 binary64) (neg.f64 #s(literal -1 binary64))))
(.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)))
(.f64 (fabs.f64 (neg.f64 #s(literal -1 binary64))) (.f64 x x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 #s(literal -1 binary64))))
(.f64 (.f64 x x) (fabs.f64 (neg.f64 #s(literal -1 binary64))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (neg.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))))
(.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 #s(literal -1 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (neg.f64 #s(literal -1 binary64)) (neg.f64 (*.f64 x x))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (*.f64 x x)) (neg.f64 #s(literal -1 binary64))))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal -1 binary64))))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(neg.f64 (.f64 (neg.f64 #s(literal -1 binary64)) (neg.f64 (.f64 x x))))
(neg.f64 (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))))
(neg.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 #s(literal -1 binary64))))
(pow.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 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
x
(*.f64 (neg.f64 #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 x (neg.f64 #s(literal -1 binary64)))
(neg.f64 (neg.f64 x))
(+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (expm1.f64 x))
#s(approx (- (exp (neg x)) 1) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))) (neg.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1 binary64))) (neg.f64 x))
(neg.f64 x)
(neg.f64 (-.f64 x #s(literal 0 binary64)))
#s(literal -1 binary64)
(+.f64 (exp.f64 x) (neg.f64 #s(literal 1 binary64)))
(+.f64 (neg.f64 #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (+.f64 (neg.f64 #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) (neg.f64 #s(literal 1 binary64))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (expm1.f64 x) #s(literal 0 binary64))
(-.f64 (+.f64 (neg.f64 #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (exp.f64 x)))
(-.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(expm1.f64 x)
(expm1.f64 (+.f64 #s(literal 0 binary64) x))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (neg.f64 #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (cosh.f64 x) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))

eval14.0ms (0.2%)

Memory: -12.7MiB live, 34.1MiB allocated; 1ms collecting garbage
Compiler: Compiled 1 118 to 626 computations (44% saved)

prune7.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	130	8	138

Accuracy

100.0%

Counts

138 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.1%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	55.3%	(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	59.3%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
	57.2%	(+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (expm1.f64 x))
✓	55.2%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
✓	97.8%	#s(approx (- (* 2 (cosh x)) 2) (*.f64 x x))
✓	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
✓	98.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))

Compiler

Compiled 173 to 145 computations (16.2% saved)

regimes19.0ms (0.2%)

Memory

-19.5MiB live, 17.1MiB allocated; 12ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (- (* 2 (cosh x)) 2) (*.f64 x x))
(+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (expm1.f64 x))
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.5%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
98.5%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (- (* 2 (cosh x)) 2) (*.f64 x x))
(+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (expm1.f64 x))
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (- (* 2 (cosh x)) 2) (*.f64 x x))
(+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (expm1.f64 x))
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))

Outputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) x) x) x))

(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes24.0ms (0.3%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (- (* 2 (cosh x)) 2) (*.f64 x x))
(+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (expm1.f64 x))
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* x 1/360) x) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x) x))

Calls

2 calls:

19.0ms	x
4.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.4%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
98.4%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes28.0ms (0.3%)

Memory

-27.5MiB live, 11.7MiB allocated; 24ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (- (* 2 (cosh x)) 2) (*.f64 x x))
(+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (expm1.f64 x))
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))

Outputs
#s(approx (- (* 2 (cosh x)) 2) (*.f64 x x))

Calls

2 calls:

25.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
97.8%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
97.8%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes2.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))

Outputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
55.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
55.3%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch17.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.0004876371099859393	0.1009314436752876

Samples

9.0ms	96×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 179 to 193 computations (-7.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 4.0ms (54.5% of total)

adjust: 2.0ms (27.3% of total)

ival-sub!: 1.0ms (13.6% of total)

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

ival-neg: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.0004876371099859393	0.1009314436752876

Samples

4.0ms

80×

valid

Compiler

Compiled 179 to 193 computations (-7.8% saved)

Precisions

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

ival-exp: 1.0ms (45.4% of total)

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

adjust: 0.0ms (0% of total)

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

ival-neg: 0.0ms (0% of total)

derivations62.0ms (0.8%)

Memory

-73.9MiB live, 2.1MiB allocated; 126ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 48 to 45 computations (6.3% saved)

preprocess49.0ms (0.6%)

Memory: 2.7MiB live, 51.8MiB allocated; 9ms collecting garbage
Remove: (abs x)
Compiler: Compiled 267 to 261 computations (2.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.8s (35.6%)

preprocess49.0ms (0.6%)

series90.0ms (1.1%)

rewrite801.0ms (10%)

eval25.0ms (0.3%)

prune7.0ms (0.1%)

series158.0ms (2%)

rewrite1.3s (16.2%)

eval162.0ms (2%)

prune23.0ms (0.3%)

series119.0ms (1.5%)

rewrite1.1s (14.1%)

eval57.0ms (0.7%)

prune16.0ms (0.2%)

series115.0ms (1.4%)

rewrite871.0ms (10.9%)

eval14.0ms (0.2%)

prune7.0ms (0.1%)

regimes19.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes24.0ms (0.3%)

regimes28.0ms (0.3%)

regimes2.0ms (0%)

bsearch17.0ms (0.2%)

bsearch8.0ms (0.1%)

derivations62.0ms (0.8%)

preprocess49.0ms (0.6%)

end0.0ms (0%)

Profiling