Metrics for sqrtexp (problem 3.4.4)

start0.0ms (0.0%)

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

analyze2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	1
50.0%	50.0%	50.0%	0.0%	0.0%	0.0%	0.0%	2
75.0%	75.0%	25.0%	0.0%	0.0%	0.0%	0.0%	3
87.5%	87.5%	12.5%	0.0%	0.0%	0.0%	0.0%	4
93.8%	93.7%	6.2%	0.0%	0.0%	0.0%	0.0%	5
96.9%	96.8%	3.1%	0.0%	0.0%	0.0%	0.0%	6
98.4%	98.4%	1.6%	0.0%	0.0%	0.0%	0.0%	7
99.2%	99.2%	0.8%	0.0%	0.0%	0.0%	0.0%	8
99.6%	99.6%	0.4%	0.0%	0.0%	0.0%	0.0%	9
99.8%	99.8%	0.2%	0.0%	0.0%	0.0%	0.0%	10
99.9%	99.9%	0.1%	0.0%	0.0%	0.0%	0.0%	11
100.0%	99.9%	0.0%	0.0%	0.0%	0.0%	0.0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.1s (27.9%)

Memory

40.4MiB live, 1 388.3MiB allocated; 214ms collecting garbage

Samples

569.0ms	8 256×	0	valid
196.0ms	2 663×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 448.0ms

ival-expm1: 179.0ms (39.9% of total)

ival-sqrt: 128.0ms (28.5% of total)

ival-mult!: 65.0ms (14.5% of total)

ival-div!: 63.0ms (14.0% of total)

adjust: 14.0ms (3.1% of total)

Bogosity

preprocess42.0ms (1.1%)

Memory

-28.8MiB live, 16.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	82	39
2	337	39
3	2270	39

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.2%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Compiler

Compiled 24 to 20 computations (16.7% saved)

series17.0ms (0.4%)

Memory

22.0MiB live, 22.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	500

Stop Event

1×	iter-limit

Counts

10 → 29

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (exp (* 2 x)) #s(literal 1 binary64))
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))
#s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (exp (* 2 x)) (exp.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp (* 2 x)) 1) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))

Calls

3 calls:

Time	Variable	Point
2.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite199.0ms (5.2%)

Memory

22.4MiB live, 265.2MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
0	17	45
1	85	45
2	351	45
3	1904	45
0	5449	45

Stop Event

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

Counts

10 → 668

Calls

Call 1

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

Outputs
#s(literal 2 binary64)
x
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 1 binary64) (+.f64 x x))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 x) (neg.f64 x))) (+.f64 x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (.f64 x x) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 x (*.f64 #s(literal -1 binary64) x))
(-.f64 x (neg.f64 x))
(+.f64 x (neg.f64 (neg.f64 x)))
(+.f64 x x)
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (exp.f64 (+.f64 x x)))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 x (+.f64 x x)))) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 0 binary64)) (exp.f64 (+.f64 x x)))
(*.f64 (pow.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 (+.f64 x (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (E.f64)) x) (pow.f64 (neg.f64 (E.f64)) x))
(*.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (+.f64 x (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))) (sinh.f64 (+.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (cosh.f64 (+.f64 x x)))) (cosh.f64 (+.f64 x x)))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (+.f64 x (+.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)))) (cosh.f64 (+.f64 x x)))
(.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (E.f64) (E.f64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(.f64 (exp.f64 (+.f64 x x)) (pow.f64 (.f64 (E.f64) (E.f64)) (*.f64 x #s(literal 0 binary64))))
(.f64 (exp.f64 (+.f64 x x)) (pow.f64 (.f64 (E.f64) (E.f64)) (*.f64 #s(literal 0 binary64) x)))
(*.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) #s(literal 0 binary64)))
(*.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 0 binary64)))
(pow.f64 (exp.f64 (.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (+.f64 x x))
(pow.f64 (*.f64 (E.f64) (E.f64)) x)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (+.f64 x x)) #s(literal -2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (+.f64 (.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))) #s(literal 4 binary64))
(/.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 0 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (+.f64 (.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) (.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)))) (-.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))))
(/.f64 (-.f64 (.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (sinh.f64 (.f64 #s(literal -2 binary64) x)))) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) (-.f64 (.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (*.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))))))
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(134-z0z1z2z3z4 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 2 binary64) (.f64 (sinh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 2 binary64))) (sinh.f64 (-.f64 #s(literal 0 binary64) x))))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (exp.f64 (+.f64 (+.f64 x x) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (exp.f64 (+.f64 (+.f64 x x) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 (exp.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 (exp.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 x) (/.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 (+.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 (+.f64 x x)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 (+.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 (+.f64 x x)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(134-z0z1z2z3z4 #s(literal 1 binary64) (exp.f64 x) (*.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(134-z0z1z2z3z4 #s(literal 1 binary64) (exp.f64 x) (*.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (exp.f64 x) (*.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(134-z0z1z2z3z4 #s(literal 1 binary64) (exp.f64 x) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(134-z0z1z2z3z4 #s(literal 1 binary64) (exp.f64 x) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (exp.f64 x) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x) (/.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
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(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (+.f64 x x) #s(literal 0 binary64)))) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(fabs.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (cosh.f64 (+.f64 x x))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(+.f64 (/.f64 (cosh.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (/.f64 (sinh.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(+.f64 (/.f64 (cosh.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (/.f64 (sinh.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (/.f64 (cosh.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (/.f64 (cosh.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (+.f64 x x) #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 (+.f64 x x) #s(literal 0 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(pow.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) (fabs.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 (+.f64 x x) #s(literal 0 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) (sqrt.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 (+.f64 x x) #s(literal 0 binary64))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))

eval1.1s (29.2%)

Memory

51.9MiB live, 1 392.1MiB allocated; 270ms collecting garbage

Samples

549.0ms	9 826×	0	invalid
314.0ms	4 954×	0	valid
5.0ms	68×	1	valid

Compiler

Compiled 15 923 to 2 990 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-mult!: 197.0ms (76.3% of total)

ival-sub!: 41.0ms (15.9% of total)

adjust: 20.0ms (7.7% of total)

prune17.0ms (0.4%)

Memory

-23.4MiB live, 21.9MiB allocated; 6ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	677	11	688
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	678	11	689

Accuracy

100.0%

Counts

689 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.3%	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
▶	37.2%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
	37.2%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) #s(literal 1 binary64))))
▶	4.4%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	5.4%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))))
	37.9%	(sqrt.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
▶	64.8%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
	66.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
▶	64.2%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
▶	70.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
	64.6%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 396 to 306 computations (22.7% saved)

series19.0ms (0.5%)

Memory

-19.6MiB live, 26.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	951

Stop Event

1×	iter-limit

Counts

33 → 52

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/6 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x (+ 1/2 (* 1/6 x))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) #s(literal 1 binary64))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))
#s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))))))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
#s(approx (+ 2 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1/2 (* 1/6 x)) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1/2 (* 1/6 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
#s(approx (exp (* 2 x)) (exp.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp (* 2 x)) 1) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)))))
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1/6 binary64)))))
#s(approx (exp (+ x x)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))

Calls

3 calls:

Time	Variable	Point
4.0ms	x	-inf
3.0ms	x	inf
1.0ms	x	0

rewrite152.0ms (4.0%)

Memory

13.6MiB live, 211.7MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	268
0	64	268
1	317	268
2	1138	268
0	4167	264

Stop Event

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

Counts

33 → 678

Calls

Call 1

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

Outputs
x
#s(literal 2 binary64)
(.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))
(pow.f64 (.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
(sqrt.f64 (.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))))
(fabs.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(fabs.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal -2 binary64) #s(literal -2 binary64))) (+.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64))) (+.f64 (.f64 x x) (+.f64 (.f64 #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x x))))
(/.f64 (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 (.f64 x x) (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x)) (+.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x)) (-.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 (.f64 x x) (+.f64 x x))))
(neg.f64 (+.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal -2 binary64) x))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 x #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (neg.f64 x))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)
(.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))
(pow.f64 (.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
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eval251.0ms (6.5%)

Memory

4.0MiB live, 327.1MiB allocated; 43ms collecting garbage

Samples

124.0ms	2 144×	0	invalid
22.0ms	416×	0	valid

Compiler

Compiled 17 651 to 3 014 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult!: 35.0ms (77.4% of total)

ival-sub!: 7.0ms (15.5% of total)

adjust: 3.0ms (6.6% of total)

prune16.0ms (0.4%)

Memory

29.7MiB live, 29.7MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	592	10	602
Fresh	3	3	6
Picked	5	0	5
Done	-3	3	0
Total	597	16	613

Accuracy

100.0%

Counts

613 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.8%	(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))))))
▶	69.6%	(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
	37.3%	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
▶	37.2%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) #s(literal 1 binary64))))
✓	37.2%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
	4.4%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
	5.4%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))))
	37.9%	(sqrt.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
	2.5%	(sqrt.f64 (/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	64.8%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
	64.8%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
▶	66.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))))))))
✓	64.2%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
	64.6%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) #s(literal -2 binary64)) x)) x)))
✓	70.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
▶	64.6%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 714 to 482 computations (32.5% saved)

series27.0ms (0.7%)

Memory

-7.7MiB live, 38.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	1693

Stop Event

1×	iter-limit

Counts

41 → 68

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))))))
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (+.f64 (.f64 x (+.f64 (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/6 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x (+ 1/2 (* 1/6 x))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) #s(literal 1 binary64))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (/ x (sqrt 2)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 1/2 (/ x (sqrt 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))))))
#s(approx (sqrt (exp (+ x x))) (+.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (exp (+ x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (sqrt (exp (+ x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))))
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (+ 1/2 (* 1/6 x)) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1/2 (* 1/6 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
#s(approx (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
#s(approx (exp (+ x x)) (exp.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp (+ x x)) 1) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
#s(approx (sqrt (exp (+ x x))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (sqrt (exp (+ x x))) 1) (-.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (- (sqrt (exp (+ x x))) 1)) (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (sqrt (exp (+ x x))) 1))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)))))
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1/6 binary64)))))
#s(approx (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (exp (+ x x)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
#s(approx (sqrt (exp (+ x x))) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (- (sqrt (exp (+ x x))) 1) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (- (sqrt (exp (+ x x))) 1)) (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (sqrt (exp (+ x x))) 1))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))))

Calls

3 calls:

Time	Variable	Point
6.0ms	x	inf
4.0ms	x	-inf
3.0ms	x	0

rewrite203.0ms (5.3%)

Memory

-14.7MiB live, 318.7MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	469
0	78	423
1	400	411
2	1465	409
0	4088	409

Stop Event

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

Counts

41 → 905

Calls

Call 1

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

Outputs
x
#s(literal 2 binary64)
(.f64 (pow.f64 (.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) #s(literal 1 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))))
(.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))
(.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(literal 0 binary64)))
(pow.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(literal -1 binary64)))
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(*.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 1/2 binary64)))

eval92.0ms (2.4%)

Memory: 9.4MiB live, 145.9MiB allocated; 23ms collecting garbage
Compiler: Compiled 47 831 to 4 661 computations (90.3% saved)

prune20.0ms (0.5%)

Memory

-12.3MiB live, 34.2MiB allocated; 3ms collecting garbage

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	832	4	836
Fresh	3	5	8
Picked	5	0	5
Done	-5	8	3
Total	835	17	852

Accuracy

100.0%

Counts

852 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.2%	(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1/2 binary64)))
	64.5%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
✓	63.8%	(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))))))
✓	69.6%	(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
▶	37.3%	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
✓	37.2%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) #s(literal 1 binary64))))
✓	37.2%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
	4.4%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (exp (+ x x))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
▶	5.4%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))))
▶	2.5%	(sqrt.f64 (/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
▶	64.8%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
▶	64.8%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
✓	66.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))))))))
✓	64.2%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
	64.6%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) #s(literal -2 binary64)) x)) x)))
✓	70.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
✓	64.6%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 697 to 456 computations (34.6% saved)

series35.0ms (0.9%)

Memory

4.4MiB live, 49.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	2349

Stop Event

1×	iter-limit

Counts

54 → 114

Calls

Call 1

Inputs
x
#s(literal -2 binary64)
(-.f64 x #s(literal -2 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/6 binary64) x)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(literal 2 binary64)
(-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(+.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(literal 4/3 binary64)
#s(literal 2/3 binary64)
(*.f64 #s(literal 2/3 binary64) x)
(+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) x))
(.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) x)))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) x))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))
#s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 x x)
(exp.f64 (+.f64 x x))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1/24 binary64)
(*.f64 #s(literal 1/24 binary64) x)
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))
#s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))))
(exp.f64 x)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Outputs
#s(approx x x)
#s(approx (- x -2) #s(literal 2 binary64))
#s(approx (- x -2) (+.f64 #s(literal 2 binary64) x))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (- -1/2 (* 1/6 x)) #s(literal -1/2 binary64))
#s(approx (- -1/2 (* 1/6 x)) (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* (* x x) (- -1/2 (* 1/6 x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* x x) (- -1/2 (* 1/6 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64))))
#s(approx (- (- x -2) (* (* x x) (- -1/2 (* 1/6 x)))) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (- x -2) (* (* x x) (- -1/2 (* 1/6 x)))) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (- x (* (* x x) (- -1/2 (* 1/6 x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- x (* (* x x) (- -1/2 (* 1/6 x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (* 2/3 x) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (+ 4/3 (* 2/3 x)) #s(literal 4/3 binary64))
#s(approx (+ 4/3 (* 2/3 x)) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) x)))
#s(approx (* x (+ 4/3 (* 2/3 x))) (*.f64 #s(literal 4/3 binary64) x))
#s(approx (* x (+ 4/3 (* 2/3 x))) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))
#s(approx (+ 2 (* x (+ 4/3 (* 2/3 x)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))
#s(approx (+ 2 (* x (+ 4/3 (* 2/3 x)))) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))
#s(approx (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))) (*.f64 #s(literal 2 binary64) x))
#s(approx (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4/3 binary64) x))))
#s(approx (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) x))))))
#s(approx (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4/3 binary64) x)))))
#s(approx (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) x)))))))
#s(approx (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
#s(approx (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))
#s(approx (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))))))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (* 1/24 x) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ 1/6 (* 1/24 x)) #s(literal 1/6 binary64))
#s(approx (+ 1/6 (* 1/24 x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))
#s(approx (* x (+ 1/6 (* 1/24 x))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
#s(approx (- x -2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- -1/2 (* 1/6 x)) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (- -1/2 (* 1/6 x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* (* x x) (- -1/2 (* 1/6 x))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (* x x) (- -1/2 (* 1/6 x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (- x -2) (* (* x x) (- -1/2 (* 1/6 x)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (- x -2) (* (* x x) (- -1/2 (* 1/6 x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (- x -2) (* (* x x) (- -1/2 (* 1/6 x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (- x -2) (* (* x x) (- -1/2 (* 1/6 x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
#s(approx (+ 4/3 (* 2/3 x)) (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 4/3 (* 2/3 x))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 4/3 (* 2/3 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 2 (* x (+ 4/3 (* 2/3 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/3 binary64) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/3 binary64) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* 2 x)) 1) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (exp.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ 1/6 (* 1/24 x)) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1/6 (* 1/24 x))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1/6 (* 1/24 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (- (sqrt (exp (+ x x))) 1) (-.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (- (sqrt (exp (+ x x))) 1)) (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (sqrt (exp (+ x x))) 1))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))))
#s(approx (pow (exp x) 2) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (- (pow (exp x) 2) 1) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (exp x) 2) 1) (- (exp x) 1)) (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (pow (exp x) 2) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
#s(approx (- (- x -2) (* (* x x) (- -1/2 (* 1/6 x)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)))))
#s(approx (- (- x -2) (* (* x x) (- -1/2 (* 1/6 x)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1/6 binary64)))))
#s(approx (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2/3 binary64)))))
#s(approx (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 2/3 binary64)))))
#s(approx (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 4/3 binary64)) x)))))
#s(approx (exp (+ x x)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/24 binary64)))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1/24 binary64)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)) x)))))
#s(approx (- (sqrt (exp (+ x x))) 1) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (- (sqrt (exp (+ x x))) 1)) (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (sqrt (exp (+ x x))) 1))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))))

Calls

3 calls:

Time	Variable	Point
6.0ms	x	inf
6.0ms	x	0
6.0ms	x	-inf

rewrite217.0ms (5.6%)

Memory

6.6MiB live, 336.8MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	536
0	104	536
1	579	527
2	2230	527
0	4616	527

Stop Event

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

Counts

54 → 906

Calls

Call 1

Inputs
x
#s(literal -2 binary64)
(-.f64 x #s(literal -2 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/6 binary64) x)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(literal 2 binary64)
(-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(+.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(literal 4/3 binary64)
#s(literal 2/3 binary64)
(*.f64 #s(literal 2/3 binary64) x)
(+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) x))
(.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) x)))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) x))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))
#s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 x x)
(exp.f64 (+.f64 x x))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1/24 binary64)
(*.f64 #s(literal 1/24 binary64) x)
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))
#s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))))
(exp.f64 x)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Outputs
x
#s(literal -2 binary64)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 (.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x)) (-.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x x))))
(/.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 (.f64 x x) (+.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal -2 binary64) #s(literal -2 binary64))) (+.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64))) (+.f64 (.f64 x x) (+.f64 (.f64 #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64)))))
(neg.f64 (-.f64 #s(literal -2 binary64) x))
(-.f64 x #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (neg.f64 x))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 x x))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 x x) #s(literal -2 binary64)) (/.f64 (+.f64 x x) #s(literal -2 binary64)))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) #s(literal 4 binary64))
(/.f64 (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)) #s(literal -4 binary64))
(/.f64 (*.f64 (+.f64 x x) (neg.f64 (+.f64 x x))) #s(literal -4 binary64))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #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))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/6 binary64) x)) (-.f64 (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) (neg.f64 (.f64 #s(literal -1/6 binary64) x))) (.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal -1/6 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/6 binary64) x))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(/.f64 (+.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/6 binary64) x)) (.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (-.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(-.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal -1/6 binary64) x)))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))
(.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 x (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x))) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x)) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x))))))
(neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x)))) (-.f64 x (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) x) x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x)) (-.f64 x #s(literal -2 binary64)))) (-.f64 x #s(literal -2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x) x) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x))) x)) x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x)) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x) (-.f64 x #s(literal -2 binary64)))) (-.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 (-.f64 x (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (+.f64 (-.f64 x (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 x (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x)) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 x (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x))) (-.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -2 binary64))) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x)) (-.f64 x #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x))) (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x)))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) x) x)))))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x) x)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x) x)) (-.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x) x))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) x) x) x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 2 binary64)) (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x))) (+.f64 #s(literal 2 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x)))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x)) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x)) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x))) (.f64 x (-.f64 #s(literal 2 binary64) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) x) x))))))
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(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(pow.f64 (*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (-.f64 (.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (.f64 (neg.f64 (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (sinh.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(sqrt.f64 (*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(fabs.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(+.f64 (/.f64 (cosh.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(+.f64 (/.f64 (cosh.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))

eval104.0ms (2.7%)

Memory: 20.2MiB live, 157.8MiB allocated; 36ms collecting garbage
Compiler: Compiled 38 568 to 5 681 computations (85.3% saved)

prune21.0ms (0.5%)

Memory

-7.4MiB live, 39.1MiB allocated; 3ms collecting garbage

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	913	7	920
Fresh	4	0	4
Picked	5	0	5
Done	-3	11	8
Total	919	18	937

Accuracy

100.0%

Counts

937 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.2%	(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
	63.8%	(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) x) x))))))
✓	69.6%	(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
✓	37.3%	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
✓	37.2%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) #s(literal 1 binary64))))
✓	37.2%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
✓	5.4%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))))
	5.4%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x))) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x))))))
	4.9%	(sqrt.f64 (/.f64 (-.f64 #s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))))
	2.4%	(sqrt.f64 (/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) #s(approx (+ 1 x) #s(literal 1 binary64))) #s(literal 1 binary64))))
✓	64.8%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
	63.4%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 #s(approx (- x -2) #s(literal 2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
✓	64.8%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
✓	66.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))))))))
✓	64.2%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
	64.6%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x))) x)) x)))
✓	70.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
✓	64.6%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 481 to 324 computations (32.6% saved)

regimes95.0ms (2.5%)

Memory

9.1MiB live, 153.4MiB allocated; 13ms collecting garbage

Counts

24 → 1

30 → 2

32 → 2

33 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 #s(approx (- x -2) #s(literal 2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) #s(literal -2 binary64)) x)) x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x))) x)) x)))
(sqrt.f64 (/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) #s(approx (+ 1 x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) x) x))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (exp (+ x x))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x))) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x))))))

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

Call 2

Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 #s(approx (- x -2) #s(literal 2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) #s(literal -2 binary64)) x)) x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x))) x)) x)))
(sqrt.f64 (/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) #s(approx (+ 1 x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) x) x))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (exp (+ x x))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x))) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Outputs

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

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

Call 3

Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 #s(approx (- x -2) #s(literal 2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) #s(literal -2 binary64)) x)) x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x))) x)) x)))
(sqrt.f64 (/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) #s(approx (+ 1 x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) x) x))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (exp (+ x x))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x))) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))

Outputs

(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1/2 binary64)))

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

Call 4

Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 #s(approx (- x -2) #s(literal 2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (-.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) #s(literal -2 binary64)) x)) x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 x x))) x)) x)))
(sqrt.f64 (/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) #s(approx (+ 1 x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(approx (- (exp (* 2 x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x)))))))) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) x) x))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) x) x))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (exp (+ x x))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (- (sqrt (exp (+ x x))) 1) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x))) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Outputs

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

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

Calls

12 calls:

11.0ms	x
9.0ms	x
8.0ms	x
8.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
7.0ms	x

Results

Accuracy	Segments	Branch
70.5%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
70.5%	1	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
70.5%	1	`x`
99.4%	2	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
99.4%	2	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
99.4%	2	`x`
99.4%	2	`x`
99.4%	2	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
99.4%	2	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
99.6%	2	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
99.6%	2	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
99.4%	2	`x`

Compiler

Compiled 961 to 287 computations (70.1% saved)

bsearch1.0ms (0.0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4581592383283752	NaN

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3306217372676608	1.4140758189896874

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch14.0ms (0.4%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-0.2606452727846729	-0.00038965405387823317

Samples

7.0ms

128×

valid

Compiler

Compiled 319 to 259 computations (18.8% saved)

Precisions

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

ival-expm1: 2.0ms (46.7% of total)

ival-sqrt: 1.0ms (23.3% of total)

ival-mult!: 1.0ms (23.3% of total)

ival-div!: 1.0ms (23.3% of total)

adjust: 0.0ms (0.0% of total)

derivations77.0ms (2.0%)

Memory

-33.8MiB live, 58.2MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 170 to 59 computations (65.3% saved)

preprocess32.0ms (0.8%)

Memory: 18.5MiB live, 65.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 182 to 69 computations (62.1% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze2.0ms (0.1%)

sample1.1s (27.9%)

preprocess42.0ms (1.1%)

series17.0ms (0.4%)

rewrite199.0ms (5.2%)

eval1.1s (29.2%)

prune17.0ms (0.4%)

series19.0ms (0.5%)

rewrite152.0ms (4.0%)

eval251.0ms (6.5%)

prune16.0ms (0.4%)

series27.0ms (0.7%)

rewrite203.0ms (5.3%)

eval92.0ms (2.4%)

prune20.0ms (0.5%)

series35.0ms (0.9%)

rewrite217.0ms (5.6%)

eval104.0ms (2.7%)

prune21.0ms (0.5%)

regimes95.0ms (2.5%)

bsearch1.0ms (0.0%)

bsearch0.0ms (0.0%)

bsearch14.0ms (0.4%)

derivations77.0ms (2.0%)

preprocess32.0ms (0.8%)

end0.0ms (0.0%)

Profiling