Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze15.0ms (0.3%)

Memory

-40.5MiB live, 5.1MiB allocated; 15ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
50%	37.6%	37.6%	24.8%	0%	0%	0%	2
75%	56.4%	18.8%	24.8%	0%	0%	0%	3
87.5%	65.8%	9.4%	24.8%	0%	0%	0%	4
93.8%	70.5%	4.7%	24.8%	0%	0%	0%	5
96.9%	72.8%	2.3%	24.8%	0%	0%	0%	6
98.4%	74%	1.2%	24.8%	0%	0%	0%	7
99.2%	74.6%	0.6%	24.8%	0%	0%	0%	8
99.6%	74.9%	0.3%	24.8%	0%	0%	0%	9
99.8%	75%	0.1%	24.8%	0%	0%	0%	10
99.9%	75.1%	0.1%	24.8%	0%	0%	0%	11
100%	75.1%	0%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.0s (23.5%)

Memory

38.3MiB live, 926.2MiB allocated; 300ms collecting garbage

Samples

664.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

ival-exp: 162.0ms (42.9% of total)

ival-expm1: 137.0ms (36.3% of total)

ival-div!: 76.0ms (20.1% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess40.0ms (0.9%)

Memory

-11.9MiB live, 33.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	43	25
2	176	25
3	894	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.1%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

series5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

5 → 15

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
2.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
1.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)

rewrite276.0ms (6.3%)

Memory

36.1MiB live, 180.1MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	203
0	67	203
1	244	203
2	927	197
3	4052	197
0	8155	157

Stop Event

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

Counts

20 → 267

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))

Outputs
(.f64 (.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (expm1.f64 x) (sinh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x))) (expm1.f64 x))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (expm1.f64 x) (sinh.f64 x)))) (neg.f64 (.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) (expm1.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (expm1.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (expm1.f64 x) (sinh.f64 x))) (.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (+.f64 (/.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x)) (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (exp.f64 x)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (.f64 (exp.f64 x) #s(literal 0 binary64)) (expm1.f64 x)))
(fma.f64 (.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (.f64 (exp.f64 x) #s(literal 0 binary64)) (expm1.f64 x)))
(fma.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (expm1.f64 x) (sinh.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) (expm1.f64 x))) (/.f64 (*.f64 (exp.f64 x) #s(literal 0 binary64)) (expm1.f64 x)))
(fma.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (expm1.f64 x) (sinh.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) (expm1.f64 x))) (/.f64 (*.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (.f64 (exp.f64 x) #s(literal 0 binary64)) (expm1.f64 x)))
(fma.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (sinh.f64 (neg.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (neg.f64 (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 x)) (/.f64 (*.f64 (exp.f64 x) #s(literal 0 binary64)) (expm1.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 x)) (/.f64 (*.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (expm1.f64 x))) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (expm1.f64 x))) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x) (/.f64 (*.f64 (exp.f64 x) #s(literal 0 binary64)) (expm1.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x) (/.f64 (*.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (*.f64 (exp.f64 x) #s(literal 0 binary64)) (expm1.f64 x)))
(fma.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (*.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (*.f64 (exp.f64 x) #s(literal 0 binary64)) (expm1.f64 x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (*.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)) (/.f64 (*.f64 (exp.f64 x) #s(literal 0 binary64)) (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)) (/.f64 (*.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 x)))
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x))))
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x))))
(-.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (neg.f64 (/.f64 (cosh.f64 x) (expm1.f64 x))))
(-.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x))))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)))
(+.f64 (/.f64 (.f64 (cosh.f64 x) (expm1.f64 x)) (.f64 (expm1.f64 x) (expm1.f64 x))) (/.f64 (.f64 (expm1.f64 x) (sinh.f64 x)) (.f64 (expm1.f64 x) (expm1.f64 x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (/.f64 (*.f64 (exp.f64 x) #s(literal 0 binary64)) (expm1.f64 x)))
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (/.f64 (*.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 x)))
(.f64 (.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (exp.f64 x))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (exp.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))))
(.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 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)))) #s(literal 1/4 binary64))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 0 binary64))))
(.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal 0 binary64) x)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) x)
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.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))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.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))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (exp.f64 x))) (.f64 #s(literal -1 binary64) (sqrt.f64 (exp.f64 x))) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (exp.f64 x))) (.f64 #s(literal -1 binary64) (sqrt.f64 (exp.f64 x))) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64) (.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (exp.f64 x)))
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(fma.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)))) #s(literal 1/4 binary64) (.f64 (exp.f64 x) #s(literal 0 binary64)))
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(fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 1/4 binary64) (.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 1/4 binary64) (.f64 #s(literal 0 binary64) (exp.f64 x)))
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(fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1/2 binary64) (sinh.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (cosh.f64 x))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (sinh.f64 x))
(fma.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 0 binary64))) (.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 0 binary64))) (.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal 0 binary64) x)) (.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
(sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (sinh.f64 (neg.f64 x)))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (neg.f64 (*.f64 (exp.f64 x) #s(literal 0 binary64))))
(-.f64 (exp.f64 x) (neg.f64 (*.f64 #s(literal 0 binary64) (exp.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))))
(fabs.f64 (.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)))
(fabs.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (+.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (-.f64 x #s(literal 0 binary64))))
(exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (-.f64 x #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (-.f64 x #s(literal 0 binary64))) (sinh.f64 (-.f64 x #s(literal 0 binary64))))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(+.f64 (exp.f64 x) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
x
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)))
(.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (fma.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) (cosh.f64 x) (fma.f64 #s(literal 2 binary64) (sinh.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.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)))) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (fma.f64 (exp.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (exp.f64 x))) (.f64 #s(literal -1 binary64) (sqrt.f64 (exp.f64 x))) #s(literal -1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))) #s(literal -1 binary64))
(fma.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 x) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.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)))) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 (cosh.f64 x) #s(literal 0 binary64)))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64) (cosh.f64 x))
(fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))
(fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) #s(literal 0 binary64)))
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 0 binary64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (+.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) (-.f64 x #s(literal 0 binary64))))
(expm1.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)))
(expm1.f64 (-.f64 x #s(literal 0 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) x))
(expm1.f64 x)
(-.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (-.f64 #s(literal 0 binary64) (sinh.f64 x)))
(-.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (sinh.f64 (neg.f64 x)))
(-.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 0 binary64))))
(-.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (-.f64 #s(literal 1 binary64) (sinh.f64 x)))
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (cosh.f64 x) #s(literal 0 binary64))))
(-.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(-.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (neg.f64 (cosh.f64 x)))
(-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(-.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) (-.f64 #s(literal 1 binary64) (sinh.f64 x)))
(-.f64 (expm1.f64 x) #s(literal 0 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 0 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (cosh.f64 x) #s(literal 0 binary64)))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (expm1.f64 x) #s(literal 0 binary64))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))

eval83.0ms (1.9%)

Memory: -12.9MiB live, 74.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 2 410 to 760 computations (68.5% saved)

prune15.0ms (0.3%)

Memory

-15.4MiB live, 28.5MiB allocated; 7ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	256	7	263
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	7	264

Accuracy

100.0%

Counts

264 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))
	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	69.1%	(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
▶	69.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶	69.7%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶	69.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	69.6%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))

Compiler

Compiled 144 to 132 computations (8.3% saved)

series11.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Counts

23 → 48

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))
(exp.f64 x)
x
(.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 1/2 binary64) x)))
(+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64))
(sqrt.f64 (exp.f64 x))
#s(literal 1 binary64)
(expm1.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)

Outputs
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (sqrt (exp x)) 1) #s(hole binary64 2))
#s(approx (+ (sqrt (exp x)) 1) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ (sqrt (exp x)) 1) #s(hole binary64 (+ 2 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (sqrt (exp x)) 1) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (+ 1/8 (* 1/48 x))))))))
#s(approx (sqrt (exp x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (exp x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (sqrt (exp x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* 1/48 x))))))))
#s(approx (- (exp (* 1/2 x)) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (- (exp (* 1/2 x)) 1) #s(hole binary64 (* x (+ 1/2 (* 1/8 x)))))
#s(approx (- (exp (* 1/2 x)) 1) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* 1/48 x)))))))
#s(approx (- (exp (* 1/2 x)) 1) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* x (+ 1/48 (* 1/384 x)))))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) #s(hole binary64 (/ (exp x) (* (+ 1 (sqrt (exp x))) (- (exp (* 1/2 x)) 1)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) #s(hole binary64 (* (+ 1 (sqrt (exp x))) (- (exp (* 1/2 x)) 1))))
#s(approx (+ (sqrt (exp x)) 1) #s(hole binary64 (+ 1 (sqrt (exp x)))))
#s(approx (sqrt (exp x)) #s(hole binary64 (sqrt (exp x))))
#s(approx (- (exp (* 1/2 x)) 1) #s(hole binary64 (- (exp (* 1/2 x)) 1)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 1/2))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (exp x) x (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) (+ (sqrt (exp x)) 1) (sqrt (exp x)) 1 (- (exp (* 1/2 x)) 1) (* 1/2 x) 1/2 (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) -1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720)
3.0ms	x	@	inf	((/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (exp x) x (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) (+ (sqrt (exp x)) 1) (sqrt (exp x)) 1 (- (exp (* 1/2 x)) 1) (* 1/2 x) 1/2 (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) -1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720)
2.0ms	x	@	0	((/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (exp x) x (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) (+ (sqrt (exp x)) 1) (sqrt (exp x)) 1 (- (exp (* 1/2 x)) 1) (* 1/2 x) 1/2 (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) -1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720)

Time

Variable

Point

Expression

4.0ms

-inf

((/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (exp x) x (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) (+ (sqrt (exp x)) 1) (sqrt (exp x)) 1 (- (exp (* 1/2 x)) 1) (* 1/2 x) 1/2 (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) -1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720)

3.0ms

inf

((/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (exp x) x (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) (+ (sqrt (exp x)) 1) (sqrt (exp x)) 1 (- (exp (* 1/2 x)) 1) (* 1/2 x) 1/2 (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) -1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720)

2.0ms

((/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (exp x) x (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) (+ (sqrt (exp x)) 1) (sqrt (exp x)) 1 (- (exp (* 1/2 x)) 1) (* 1/2 x) 1/2 (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) -1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720)

rewrite279.0ms (6.3%)

Memory

0.5MiB live, 189.3MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	968
0	221	932
1	714	924
2	2919	914
0	8109	861

Stop Event

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

Counts

71 → 392

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))
(exp.f64 x)
x
(.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 1/2 binary64) x)))
(+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64))
(sqrt.f64 (exp.f64 x))
#s(literal 1 binary64)
(expm1.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (sqrt (exp x)) 1) #s(hole binary64 2))
#s(approx (+ (sqrt (exp x)) 1) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ (sqrt (exp x)) 1) #s(hole binary64 (+ 2 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (sqrt (exp x)) 1) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (+ 1/8 (* 1/48 x))))))))
#s(approx (sqrt (exp x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (exp x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (sqrt (exp x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* 1/48 x))))))))
#s(approx (- (exp (* 1/2 x)) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (- (exp (* 1/2 x)) 1) #s(hole binary64 (* x (+ 1/2 (* 1/8 x)))))
#s(approx (- (exp (* 1/2 x)) 1) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* 1/48 x)))))))
#s(approx (- (exp (* 1/2 x)) 1) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* x (+ 1/48 (* 1/384 x)))))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) #s(hole binary64 (/ (exp x) (* (+ 1 (sqrt (exp x))) (- (exp (* 1/2 x)) 1)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) #s(hole binary64 (* (+ 1 (sqrt (exp x))) (- (exp (* 1/2 x)) 1))))
#s(approx (+ (sqrt (exp x)) 1) #s(hole binary64 (+ 1 (sqrt (exp x)))))
#s(approx (sqrt (exp x)) #s(hole binary64 (sqrt (exp x))))
#s(approx (- (exp (* 1/2 x)) 1) #s(hole binary64 (- (exp (* 1/2 x)) 1)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 1/2))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))

Outputs
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))))
(.f64 (/.f64 (exp.f64 x) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)))) (exp.f64 x))
(.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)))))
(.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (cosh.f64 x) (.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))) (.f64 (.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))) (sinh.f64 x))) (.f64 (.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))) (.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)))))
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(fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 x #s(literal 1/12 binary64) (fma.f64 (.f64 #s(literal -1/720 binary64) x) (.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (-.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal -1/720 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
(-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 (neg.f64 x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))))
(-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))
(+.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(+.f64 (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/720 binary64)))
(+.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1/12 binary64) x) (fma.f64 (.f64 #s(literal -1/720 binary64) x) (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (.f64 #s(literal 1/12 binary64) x) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (-.f64 #s(literal -1/12 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))
(neg.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 #s(literal -1/720 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal -1/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 #s(literal -1/720 binary64) x) #s(literal 1/12 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64))
(-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.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 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
#s(literal -1/720 binary64)
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (sqrt (exp x)) 1) #s(literal 2 binary64))
#s(approx (+ (sqrt (exp x)) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (sqrt (exp x)) 1) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (sqrt (exp x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (sqrt (exp x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (exp x)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp (* 1/2 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (exp (* 1/2 x)) 1) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (- (exp (* 1/2 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (- (exp (* 1/2 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/384 binary64) x #s(literal 1/48 binary64)) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) -1/720) 1/12) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 (exp.f64 x) (.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)))))
#s(approx (exp x) (exp.f64 x))
#s(approx (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1)) (.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))))
#s(approx (+ (sqrt (exp x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)))
#s(approx (sqrt (exp x)) (sqrt.f64 (exp.f64 x)))
#s(approx (- (exp (* 1/2 x)) 1) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/720 binary64)) x) (.f64 x x)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)) (.f64 x x)) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) -1/720) 1/12) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* (* x x) -1/720) 1/12) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) x))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/720 binary64)) x) (.f64 x x)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)) (.f64 x x)) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x)))

eval257.0ms (5.8%)

Memory: -54.5MiB live, 133.0MiB allocated; 188ms collecting garbage
Compiler: Compiled 3 970 to 1 572 computations (60.4% saved)

prune23.0ms (0.5%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	535	5	540
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	537	10	547

Accuracy

100.0%

Counts

547 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	69.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	69.7%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))
✓	69.7%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	69.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	69.6%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	52.9%	#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
▶	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
▶	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
▶	69.7%	#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Compiler

Compiled 207 to 193 computations (6.8% saved)

series12.0ms (0.3%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

20 → 30

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) #s(hole binary64 (/ (exp x) (* (+ 1 (sqrt (exp x))) (- (exp (* 1/2 x)) 1)))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (* (/ 1 (* x x)) x) (/ 1 (* x x)) 1 (* x x) (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2))
4.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (* (/ 1 (* x x)) x) (/ 1 (* x x)) 1 (* x x) (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2))
3.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (* (/ 1 (* x x)) x) (/ 1 (* x x)) 1 (* x x) (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2))

Time

Variable

Point

Expression

5.0ms

-inf

((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (* (/ 1 (* x x)) x) (/ 1 (* x x)) 1 (* x x) (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2))

4.0ms

inf

((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (* (/ 1 (* x x)) x) (/ 1 (* x x)) 1 (* x x) (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2))

3.0ms

((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (* (/ 1 (* x x)) x) (/ 1 (* x x)) 1 (* x x) (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2))

rewrite359.0ms (8.1%)

Memory

-39.9MiB live, 243.0MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	546
0	134	501
1	447	488
2	1653	450
0	8463	437

Stop Event

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

Counts

50 → 1 149

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) #s(hole binary64 (/ (exp x) (* (+ 1 (sqrt (exp x))) (- (exp (* 1/2 x)) 1)))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))

Outputs
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (/.f64 (neg.f64 (exp.f64 x)) (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 (.f64 (/.f64 (neg.f64 (exp.f64 x)) (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) x))) (exp.f64 x)) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 x))
(/.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (expm1.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (expm1.f64 x) (sinh.f64 x))) (.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (neg.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (neg.f64 (exp.f64 x)) (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))) (expm1.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (exp.f64 x)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(fma.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x))))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (neg.f64 (expm1.f64 x))))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) x)
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 x x))
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(neg.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (neg.f64 (sinh.f64 (neg.f64 x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 (sinh.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (exp.f64 x)) (.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (exp.f64 x))))
(fma.f64 (cosh.f64 (.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (exp.f64 x)) (.f64 (sinh.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (exp.f64 x))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sinh.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (exp.f64 x)) (cosh.f64 (*.f64 #s(literal -1/2 binary64) x))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (cosh.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 (sqrt.f64 (exp.f64 x)) (sinh.f64 (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (sinh.f64 (neg.f64 x)))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x))))
(fabs.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (neg.f64 (sqrt.f64 (exp.f64 x)))))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(exp.f64 x)
(+.f64 (.f64 (sqrt.f64 (exp.f64 x)) (sinh.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (sqrt.f64 (exp.f64 x)) (cosh.f64 (.f64 #s(literal -1/2 binary64) x))))
(+.f64 (.f64 (sqrt.f64 (exp.f64 x)) (cosh.f64 (.f64 #s(literal -1/2 binary64) x))) (.f64 (sqrt.f64 (exp.f64 x)) (sinh.f64 (.f64 #s(literal 1/2 binary64) x))))
(+.f64 (.f64 #s(literal 1 binary64) (exp.f64 x)) (.f64 #s(literal 0 binary64) (exp.f64 x)))
(+.f64 (.f64 (sinh.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (exp.f64 x))) (.f64 (cosh.f64 (.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (exp.f64 x))))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (exp.f64 x))) (.f64 (sinh.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (exp.f64 x))))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (neg.f64 (sinh.f64 (neg.f64 x))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
x
(.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64)) #s(literal -1 binary64) (.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (exp.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
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(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (/.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x)
(.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(.f64 x (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)))
(.f64 x (.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))))
(*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) x)) (fabs.f64 x))
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)
(/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (*.f64 (-.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(neg.f64 (*.f64 x (-.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (fabs.f64 x)) x) (/.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/12 binary64)) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) x) x) (/.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/12 binary64) x) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/12 binary64) x) (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) x) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) x) x) (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (fabs.f64 x)) (/.f64 (fabs.f64 x) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fabs.f64 x) x) (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1 binary64) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/12 binary64)) x) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/12 binary64) x) x) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/12 binary64) x) x) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) x))
(-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (neg.f64 x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

eval203.0ms (4.6%)

Memory: 35.0MiB live, 171.7MiB allocated; 20ms collecting garbage
Compiler: Compiled 8 952 to 3 368 computations (62.4% saved)

prune49.0ms (1.1%)

Memory

12.3MiB live, 62.5MiB allocated; 11ms collecting garbage

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	1 123	7	1 130
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	1 123	17	1 140

Accuracy

100.0%

Counts

1 140 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	69.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶	69.7%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))
✓	69.7%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	26.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (.f64 x x) (.f64 (*.f64 x x) x)))
▶	53.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 x x)))
✓	69.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	69.6%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
	24.9%	#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (*.f64 x x) x) x)) x))
✓	52.9%	#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
▶	46.6%	#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))) x))
▶	51.7%	#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x))
▶	46.9%	#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
✓	69.7%	#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
	69.7%	#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 331 to 301 computations (9.1% saved)

series19.0ms (0.4%)

Memory

-29.3MiB live, 17.3MiB allocated; 4ms collecting garbage

Counts

28 → 28

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 x x)))
(/.f64 x (*.f64 x x))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))) x))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x)))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/720) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (* x x) -1/720) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* -1/720 (pow x 2))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ 1 x) (/ 1 x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (/ 1 x) (/ 1 (* x x))) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) (+ (* 1/2 x) 1) 1/2 x 1 (/ 1 x) (* (+ (* (* x x) -1/720) 1/12) x) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (/ x (* x x)) (/ (exp x) (- (exp x) 1)) (* (* (/ 1 x) (/ 1 x)) x) (* (/ 1 x) (/ 1 x)) (/ (exp x) (- (exp x) 1)) (* (/ 1 (sqrt (* (* (* x x) x) x))) x) (/ 1 (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (/ (exp x) (- (exp x) 1)) (* (* (* (/ 1 x) (/ 1 (* x x))) x) x) (* (* (/ 1 x) (/ 1 (* x x))) x) (* (/ 1 x) (/ 1 (* x x))) (/ 1 (* x x)))
5.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) (+ (* 1/2 x) 1) 1/2 x 1 (/ 1 x) (* (+ (* (* x x) -1/720) 1/12) x) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (/ x (* x x)) (/ (exp x) (- (exp x) 1)) (* (* (/ 1 x) (/ 1 x)) x) (* (/ 1 x) (/ 1 x)) (/ (exp x) (- (exp x) 1)) (* (/ 1 (sqrt (* (* (* x x) x) x))) x) (/ 1 (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (/ (exp x) (- (exp x) 1)) (* (* (* (/ 1 x) (/ 1 (* x x))) x) x) (* (* (/ 1 x) (/ 1 (* x x))) x) (* (/ 1 x) (/ 1 (* x x))) (/ 1 (* x x)))
5.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) (+ (* 1/2 x) 1) 1/2 x 1 (/ 1 x) (* (+ (* (* x x) -1/720) 1/12) x) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (/ x (* x x)) (/ (exp x) (- (exp x) 1)) (* (* (/ 1 x) (/ 1 x)) x) (* (/ 1 x) (/ 1 x)) (/ (exp x) (- (exp x) 1)) (* (/ 1 (sqrt (* (* (* x x) x) x))) x) (/ 1 (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (/ (exp x) (- (exp x) 1)) (* (* (* (/ 1 x) (/ 1 (* x x))) x) x) (* (* (/ 1 x) (/ 1 (* x x))) x) (* (/ 1 x) (/ 1 (* x x))) (/ 1 (* x x)))

Time

Variable

Point

Expression

6.0ms

((/ (exp x) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) (+ (* 1/2 x) 1) 1/2 x 1 (/ 1 x) (* (+ (* (* x x) -1/720) 1/12) x) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (/ x (* x x)) (/ (exp x) (- (exp x) 1)) (* (* (/ 1 x) (/ 1 x)) x) (* (/ 1 x) (/ 1 x)) (/ (exp x) (- (exp x) 1)) (* (/ 1 (sqrt (* (* (* x x) x) x))) x) (/ 1 (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (/ (exp x) (- (exp x) 1)) (* (* (* (/ 1 x) (/ 1 (* x x))) x) x) (* (* (/ 1 x) (/ 1 (* x x))) x) (* (/ 1 x) (/ 1 (* x x))) (/ 1 (* x x)))

5.0ms

-inf

((/ (exp x) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) (+ (* 1/2 x) 1) 1/2 x 1 (/ 1 x) (* (+ (* (* x x) -1/720) 1/12) x) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (/ x (* x x)) (/ (exp x) (- (exp x) 1)) (* (* (/ 1 x) (/ 1 x)) x) (* (/ 1 x) (/ 1 x)) (/ (exp x) (- (exp x) 1)) (* (/ 1 (sqrt (* (* (* x x) x) x))) x) (/ 1 (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (/ (exp x) (- (exp x) 1)) (* (* (* (/ 1 x) (/ 1 (* x x))) x) x) (* (* (/ 1 x) (/ 1 (* x x))) x) (* (/ 1 x) (/ 1 (* x x))) (/ 1 (* x x)))

5.0ms

inf

((/ (exp x) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) (+ (* 1/2 x) 1) 1/2 x 1 (/ 1 x) (* (+ (* (* x x) -1/720) 1/12) x) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (/ x (* x x)) (/ (exp x) (- (exp x) 1)) (* (* (/ 1 x) (/ 1 x)) x) (* (/ 1 x) (/ 1 x)) (/ (exp x) (- (exp x) 1)) (* (/ 1 (sqrt (* (* (* x x) x) x))) x) (/ 1 (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (/ (exp x) (- (exp x) 1)) (* (* (* (/ 1 x) (/ 1 (* x x))) x) x) (* (* (/ 1 x) (/ 1 (* x x))) x) (* (/ 1 x) (/ 1 (* x x))) (/ 1 (* x x)))

rewrite251.0ms (5.7%)

Memory

16.4MiB live, 205.7MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	748
0	161	609
1	468	577
2	1941	577
0	8337	535

Stop Event

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

Counts

56 → 1 047

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 x x)))
(/.f64 x (*.f64 x x))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))) x))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x)))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/720) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (* x x) -1/720) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* -1/720 (pow x 2))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ 1 x) (/ 1 x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (/ 1 x) (/ 1 (* x x))) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) x #s(literal -1/2 binary64))))
(neg.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))
(neg.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)))
(neg.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) x)))
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (fabs.f64 x)) (fabs.f64 x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x) (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (neg.f64 x)))
(fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x) (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x))
(fma.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (neg.f64 x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 x (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 x (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (neg.f64 x)))
(fma.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 x (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (neg.f64 x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 x (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
(fma.f64 (+.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 (+.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (neg.f64 x)))
(fma.f64 (+.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (neg.f64 x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 (+.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x))
(fma.f64 (.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (neg.f64 x)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (neg.f64 x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (neg.f64 x)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 (neg.f64 x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
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(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))))
(.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (fabs.f64 x))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (*.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) x)
(.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) 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 (.f64 (*.f64 x x) x) x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (.f64 #s(literal -1 binary64) x) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 x x)))
(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (.f64 (.f64 x x) x))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 #s(literal -1 binary64) x)))
(neg.f64 (.f64 x (/.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (fabs.f64 x))) (.f64 x x) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (fabs.f64 x) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal -3 binary64) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (+ (* (* x x) -1/720) 1/12) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (+ (* (* x x) -1/720) 1/12) x) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) -1/720) 1/12) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (/ 1 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (* (* (* x x) x) x) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* (/ 1 x) (/ 1 (* x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/720 binary64)) x) (.f64 x x)))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) (.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (.f64 x x)) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (* x x) -1/720) 1/12) (.f64 #s(literal -1/720 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) -1/720) 1/12) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) x))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/720 binary64)) x) (.f64 x x)))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) (/ 1 x)) (* (+ (* (* x x) -1/720) 1/12) x)) (.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (.f64 x x)) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x)))

eval172.0ms (3.9%)

Memory: 30.3MiB live, 164.4MiB allocated; 70ms collecting garbage
Compiler: Compiled 6 367 to 2 992 computations (53% saved)

prune27.0ms (0.6%)

Memory

-13.6MiB live, 33.0MiB allocated; 8ms collecting garbage

Pruning

20 alts after pruning (8 fresh and 12 done)

	Pruned	Kept	Total
New	755	5	760
Fresh	0	3	3
Picked	2	3	5
Done	0	9	9
Total	757	20	777

Accuracy

100.0%

Counts

777 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	69.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	69.7%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))
✓	69.7%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	26.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (.f64 x x) (.f64 (*.f64 x x) x)))
	47.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (.f64 (.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) x))))
	47.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (fabs.f64 x) (*.f64 x x))))))
✓	53.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 x x)))
	46.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))
✓	69.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	69.6%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
	24.9%	#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (*.f64 x x) x) x)) x))
✓	52.9%	#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
	49.7%	#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (+.f64 (/.f64 #s(literal -3 binary64) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))) x))
	46.9%	#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x))
✓	51.7%	#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
✓	69.7%	#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
	69.7%	#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 437 to 351 computations (19.7% saved)

regimes25.0ms (0.6%)

Memory

-25.3MiB live, 21.0MiB allocated; 4ms collecting garbage

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (.f64 x x) (.f64 (*.f64 x x) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (.f64 (.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (*.f64 x x) x) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (fabs.f64 x) (*.f64 x x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (+.f64 (/.f64 #s(literal -3 binary64) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))) x))
(/.f64 (exp.f64 x) (expm1.f64 x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))

Outputs
(/.f64 (exp.f64 x) (.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 1/2 binary64) x))))

Calls

3 calls:

10.0ms	(exp.f64 x)
7.0ms	x
5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes23.0ms (0.5%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (.f64 x x) (.f64 (*.f64 x x) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (.f64 (.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (*.f64 x x) x) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (fabs.f64 x) (*.f64 x x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (+.f64 (/.f64 #s(literal -3 binary64) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))) x))
(/.f64 (exp.f64 x) (expm1.f64 x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))

Calls

3 calls:

11.0ms	x
7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes25.0ms (0.6%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (.f64 x x) (.f64 (*.f64 x x) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (.f64 (.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (* (+ (sqrt (exp x)) 1) (- (exp (* 1/2 x)) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (*.f64 x x) x) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (fabs.f64 x) (*.f64 x x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (.f64 (+.f64 (/.f64 #s(literal -3 binary64) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))) x))

Outputs

#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))))

#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

Calls

3 calls:

10.0ms	x
7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
6.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
95.8%	2	`(exp.f64 x)`
95.4%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
95.8%	2	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes19.0ms (0.4%)

Memory

-32.1MiB live, 14.4MiB allocated; 3ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))))

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

Calls

2 calls:

11.0ms	x
6.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
95.8%	2	`(exp.f64 x)`
95.8%	2	`x`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes13.0ms (0.3%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))))

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

Calls

2 calls:

7.0ms	x
5.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
95.8%	2	`(exp.f64 x)`
95.8%	2	`x`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes15.0ms (0.3%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 x x)))

#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))

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

Calls

3 calls:

6.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
88.2%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
88.6%	2	`(exp.f64 x)`
92.8%	3	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes6.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 x x)))

#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
92.7%	3	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes18.0ms (0.4%)

Memory

-41.5MiB live, 7.7MiB allocated; 15ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	(exp.f64 x)
4.0ms	x

Results

Accuracy	Segments	Branch
88.6%	2	`(exp.f64 x)`
88.6%	2	`x`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes11.0ms (0.2%)

Memory

9.9MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
87.9%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
88.2%	2	`(exp.f64 x)`
88.2%	2	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes9.0ms (0.2%)

Memory

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

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
69.8%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
69.8%	1	`(exp.f64 x)`
69.8%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes6.0ms (0.1%)

Memory

6.7MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

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

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

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
3.2%	1	`(exp.f64 x)`
3.2%	1	`x`
3.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

Calls

3 calls:

2.0ms	x
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
3.2%	1	`(exp.f64 x)`
3.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.2%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch23.0ms (0.5%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-15581.997238709753	-0.00029398738678114043

Samples

12.0ms

144×

valid

Compiler

Compiled 262 to 260 computations (0.8% saved)

Precisions

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

ival-exp: 3.0ms (43.6% of total)

ival-expm1: 2.0ms (29% of total)

ival-div!: 1.0ms (14.5% of total)

adjust: 0.0ms (0% of total)

bsearch11.0ms (0.3%)

Memory

-41.6MiB live, 5.9MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-15581.997238709753	-0.00029398738678114043

Samples

4.0ms

48×

valid

Compiler

Compiled 298 to 296 computations (0.7% saved)

Precisions

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

ival-exp: 1.0ms (45.5% of total)

ival-expm1: 1.0ms (45.5% of total)

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-15581.997238709753	-0.00029398738678114043

Compiler

Compiled 289 to 287 computations (0.7% saved)

bsearch23.0ms (0.5%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-15581.997238709753	-0.00029398738678114043
19.0ms	-1.5757962054912975e+158	-3.301058823331692e+143

Samples

10.0ms

160×

valid

Compiler

Compiled 480 to 459 computations (4.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (38.7% of total)

ival-expm1: 2.0ms (38.7% of total)

ival-div!: 2.0ms (38.7% of total)

adjust: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-15581.997238709753	-0.00029398738678114043
1.0ms	-1.5757962054912975e+158	-3.301058823331692e+143

Compiler

Compiled 426 to 405 computations (4.9% saved)

bsearch2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-15581.997238709753	-0.00029398738678114043

Compiler

Compiled 208 to 206 computations (1% saved)

bsearch16.0ms (0.4%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-15581.997238709753	-0.00029398738678114043

Samples

8.0ms

128×

valid

Compiler

Compiled 190 to 188 computations (1.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (43.3% of total)

ival-expm1: 2.0ms (43.3% of total)

ival-div!: 1.0ms (21.7% of total)

adjust: 0.0ms (0% of total)

derivations739.0ms (16.7%)

Memory

-6.0MiB live, 270.8MiB allocated; 35ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 122 to 80 computations (34.4% saved)

preprocess284.0ms (6.4%)

Memory: 8.3MiB live, 194.7MiB allocated; 94ms collecting garbage
Compiler: Compiled 134 to 91 computations (32.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze15.0ms (0.3%)

sample1.0s (23.5%)

preprocess40.0ms (0.9%)

series5.0ms (0.1%)

rewrite276.0ms (6.3%)

eval83.0ms (1.9%)

prune15.0ms (0.3%)

series11.0ms (0.2%)

rewrite279.0ms (6.3%)

eval257.0ms (5.8%)

prune23.0ms (0.5%)

series12.0ms (0.3%)

rewrite359.0ms (8.1%)

eval203.0ms (4.6%)

prune49.0ms (1.1%)

series19.0ms (0.4%)

rewrite251.0ms (5.7%)

eval172.0ms (3.9%)

prune27.0ms (0.6%)

regimes25.0ms (0.6%)

regimes23.0ms (0.5%)

regimes25.0ms (0.6%)

regimes19.0ms (0.4%)

regimes13.0ms (0.3%)

regimes15.0ms (0.3%)

regimes6.0ms (0.1%)

regimes18.0ms (0.4%)

regimes11.0ms (0.2%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch23.0ms (0.5%)

bsearch11.0ms (0.3%)

bsearch2.0ms (0%)

bsearch23.0ms (0.5%)

bsearch3.0ms (0.1%)

bsearch2.0ms (0%)

bsearch16.0ms (0.4%)

derivations739.0ms (16.7%)

preprocess284.0ms (6.4%)

end0.0ms (0%)

Profiling