Metrics for sqrtexp (problem 3.4.4)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.1s (54.1%)

Memory

50.8MiB live, 784.0MiB allocated; 782ms collecting garbage

Samples

453.0ms	2 724×	0	exit
384.0ms	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 621.0ms

ival-expm1: 436.0ms (70.2% of total)

ival-sqrt: 70.0ms (11.3% of total)

ival-mult!: 60.0ms (9.7% of total)

ival-div!: 53.0ms (8.5% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess47.0ms (2.3%)

Memory

-30.5MiB live, 14.3MiB 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
▶	38.2%	(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)

series13.0ms (0.6%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	430

Stop Event

1×	iter-limit

Counts

10 → 29

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite113.0ms (5.5%)

Memory

9.9MiB live, 107.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
0	17	45
1	51	45
2	180	45
3	1116	45
0	4276	33

Stop Event

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

Counts

10 → 563

Calls

Call 1

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

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

eval48.0ms (2.3%)

Memory: 17.0MiB live, 62.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 11 722 to 2 479 computations (78.9% saved)

prune14.0ms (0.7%)

Memory

-31.0MiB live, 15.4MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	578	8	586
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	579	8	587

Accuracy

100.0%

Counts

587 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.8%	(sqrt.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
	5.0%	(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))))
▶	99.6%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
▶	64.2%	(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))))))))
	65.8%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
	63.7%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
▶	70.1%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
▶	64.1%	#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 272 to 214 computations (21.3% saved)

series20.0ms (1%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	894

Stop Event

1×	iter-limit

Counts

31 → 52

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
x
(expm1.f64 x)
(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 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 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 x (sqrt.f64 #s(literal 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 (+.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)))))))
(+.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 x (+.f64 #s(literal 1 binary64) (.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))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(sqrt.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
#s(literal -1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))

Outputs
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (+ x 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 (+ x x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.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 (+ x x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 x (fma.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 (+ x x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (exp (+ x 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 (+ x 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 (- (exp (+ x x)) 1) (*.f64 #s(literal 2 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 x 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 (* 1/2 (/ x (sqrt 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ x (sqrt 2)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
#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 (+ 1/2 (* 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 (+ 1/2 (* 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 (* 1/6 x) (*.f64 #s(literal 1/6 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 (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (*.f64 x (fma.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 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#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) (fma.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) (fma.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 (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* 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) (fma.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 (+ 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 (sqrt (/ (+ (* (exp x) (exp x)) -1) (- (exp x) 1))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (expm1.f64 x))))
#s(approx (/ (+ (* (exp x) (exp x)) -1) (- (exp x) 1)) (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (expm1.f64 x)))
#s(approx (+ (* (exp x) (exp x)) -1) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
#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 (+ 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 #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)))))

Calls

3 calls:

Time	Variable	Point
5.0ms	x	inf
5.0ms	x	-inf
2.0ms	x	0

rewrite111.0ms (5.4%)

Memory

3.7MiB live, 98.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	218
0	63	202
1	179	202
2	582	173
3	3103	173
0	4222	156

Stop Event

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

Counts

31 → 987

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
x
(expm1.f64 x)
(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 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 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 x (sqrt.f64 #s(literal 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 (+.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)))))))
(+.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 x (+.f64 #s(literal 1 binary64) (.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))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(sqrt.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
#s(literal -1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))

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

eval74.0ms (3.6%)

Memory: 13.7MiB live, 102.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 14 986 to 2 773 computations (81.5% saved)

prune19.0ms (0.9%)

Memory

-20.7MiB live, 24.2MiB allocated; 6ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	697	6	703
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	703	8	711

Accuracy

100.0%

Counts

711 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
▶	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
	65.8%	(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
▶	63.7%	(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
✓	70.1%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
▶	64.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
▶	63.2%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	64.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 230 to 184 computations (20% saved)

series15.0ms (0.7%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	565

Stop Event

1×	iter-limit

Counts

20 → 37

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- (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 x) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.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 x) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 x (fma.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 x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x))
#s(approx (- (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 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 (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (* (+ (* 1/2 x) 2) (sqrt 1/2)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (+ (* 1/2 x) 2) (sqrt 1/2)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 x) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (* (sqrt 1/2) x) 1/2) (sqrt 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (* (sqrt 1/2) x) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (- (exp x) -1) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
#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 x) 2) (sqrt 1/2)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (* (+ (* 1/2 x) 2) (sqrt 1/2)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (+ (* 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 2) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (+ (* (* (sqrt 1/2) x) 1/2) (sqrt 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x)))
#s(approx (* (+ (* 1/2 x) 2) (sqrt 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (+ (* (* (sqrt 1/2) x) 1/2) (sqrt 2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))

Calls

3 calls:

Time	Variable	Point
5.0ms	x	-inf
2.0ms	x	inf
2.0ms	x	0

rewrite111.0ms (5.4%)

Memory

17.2MiB live, 113.1MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	144
0	46	142
1	128	142
2	398	142
3	2212	142
0	4238	116

Stop Event

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

Counts

20 → 646

Calls

Call 1

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

Outputs
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(fabs.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64)))) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))) (sinh.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (sinh.f64 x) (-.f64 #s(literal -1 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (cosh.f64 x))))
(fabs.f64 (-.f64 (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)) (cosh.f64 x)))
(fabs.f64 (-.f64 (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)) (cosh.f64 x)))
(fabs.f64 (-.f64 (neg.f64 (-.f64 (sinh.f64 x) #s(literal -1 binary64))) (cosh.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(fabs.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(fabs.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (-.f64 (sinh.f64 x) #s(literal -1 binary64)) (cosh.f64 x))
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 0 binary64))))
(.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal 0 binary64) x)))
(pow.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (E.f64) x)
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
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(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) x)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 x (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(-.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 x)))
(+.f64 (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) x)) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 x (sqrt.f64 #s(literal 2 binary64)))

eval73.0ms (3.5%)

Memory: -8.6MiB live, 81.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 13 231 to 1 848 computations (86% saved)

prune41.0ms (2%)

Memory

-50.3MiB live, 20.3MiB allocated; 15ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	584	6	590
Fresh	0	1	1
Picked	4	1	5
Done	0	2	2
Total	588	10	598

Accuracy

100.0%

Counts

598 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
✓	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
▶	63.7%	(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
▶	63.7%	(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
	65.8%	(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
✓	70.1%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
▶	64.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
	64.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
▶	2.9%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (.f64 #s(approx (+ ( 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
▶	69.2%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 323 to 251 computations (22.3% saved)

series11.0ms (0.5%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	541

Stop Event

1×	iter-limit

Counts

25 → 33

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (.f64 #s(approx (+ ( 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/8 binary64))
#s(literal 1/8 binary64)

Outputs
#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 (fma.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 (fma.f64 x (fma.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 (/ (+ (* 1/2 x) 2) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (exp (+ x 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 (+ x 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 x x)
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (* (+ (* 1/2 x) 2) (sqrt 1/2)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (+ (* 1/2 x) 2) (sqrt 1/2)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 x) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (sqrt 1/8) x) (sqrt 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/8 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
#s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 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 (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (* 1/2 x) 2) (sqrt 1/2)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (* (+ (* 1/2 x) 2) (sqrt 1/2)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (+ (* 1/2 x) 2) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (sqrt 1/8) x) (sqrt 2)) (*.f64 x (sqrt.f64 #s(literal 1/8 binary64))))
#s(approx (+ (* (sqrt 1/8) x) (sqrt 2)) (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x)))
#s(approx (* (+ (* 1/2 x) 2) (sqrt 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (+ (* (sqrt 1/8) x) (sqrt 2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))

Calls

3 calls:

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

rewrite101.0ms (4.9%)

Memory

26.5MiB live, 118.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	206
0	54	202
1	141	202
2	416	194
3	2247	190
0	4074	159

Stop Event

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

Counts

25 → 399

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (.f64 #s(approx (+ ( 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/8 binary64))
#s(literal 1/8 binary64)

Outputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal -2 binary64))
(/.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(cosh.f64 (neg.f64 (asinh.f64 #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 #s(literal -1 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal -2 binary64))
(/.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(cosh.f64 (neg.f64 (asinh.f64 #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 #s(literal -1 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (*.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(fabs.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(*.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))
(pow.f64 (*.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))))
(fabs.f64 (neg.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))))
(fabs.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))))
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(/.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 8 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 8 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 8 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 x (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 8 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -2 binary64))))
(neg.f64 (/.f64 (-.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64)))) x))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64)))) x))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64)))) x))
(fma.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64)))) x))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64)))) x))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(fma.f64 x (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64)))) x))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64)))) x))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64)))) x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/8 binary64))))
(+.f64 (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64)))) x))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/8 binary64)))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/8 binary64))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(fabs.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fabs.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(fabs.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fabs.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 1/8 binary64)))
#s(literal 1/8 binary64)

eval32.0ms (1.5%)

Memory: 10.2MiB live, 55.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 8 347 to 1 088 computations (87% saved)

prune13.0ms (0.6%)

Memory

-33.5MiB live, 16.9MiB allocated; 6ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	318	1	319
Fresh	0	2	2
Picked	1	4	5
Done	0	3	3
Total	319	10	329

Accuracy

100.0%

Counts

329 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
✓	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	63.7%	(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
✓	63.7%	(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
	65.8%	(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
✓	70.1%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
✓	64.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
	64.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
✓	69.2%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	2.9%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (sqrt 1/8) x) (sqrt 2)) (*.f64 x (sqrt.f64 #s(literal 1/8 binary64)))))

Compiler

Compiled 175 to 138 computations (21.1% saved)

regimes34.0ms (1.6%)

Memory

11.2MiB live, 56.2MiB allocated; 3ms collecting garbage

Accuracy

Total -43.3b remaining (-226.4%)

Threshold costs -43.3b (-226.4%)

Counts

16 → 1

22 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #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 (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (sqrt 1/8) x) (sqrt 2)) (*.f64 x (sqrt.f64 #s(literal 1/8 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (.f64 #s(approx (+ ( 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 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 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #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 #s(literal 1/2 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #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 (+ x x)) 1) (- (exp x) 1)) (-.f64 x #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 (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (sqrt 1/8) x) (sqrt 2)) (*.f64 x (sqrt.f64 #s(literal 1/8 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ (* 1/2 x) 2) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (.f64 #s(approx (+ ( 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 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 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #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 #s(literal 1/2 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (+ x 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 (-.f64 (exp.f64 x) #s(literal -1 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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(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 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

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

Calls

6 calls:

7.0ms	x
6.0ms	x
4.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
4.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
70.1%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
70.1%	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))))`
70.1%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
100.0%	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))))`
100.0%	1	`x`

Compiler

Compiled 451 to 151 computations (66.5% saved)

derivations42.0ms (2%)

Memory

-11.1MiB live, 32.0MiB allocated; 9ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 19 to 16 computations (15.8% saved)

preprocess14.0ms (0.7%)

Memory: 32.3MiB live, 32.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 31 to 26 computations (16.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.1s (54.1%)

preprocess47.0ms (2.3%)

series13.0ms (0.6%)

rewrite113.0ms (5.5%)

eval48.0ms (2.3%)

prune14.0ms (0.7%)

series20.0ms (1%)

rewrite111.0ms (5.4%)

eval74.0ms (3.6%)

prune19.0ms (0.9%)

series15.0ms (0.7%)

rewrite111.0ms (5.4%)

eval73.0ms (3.5%)

prune41.0ms (2%)

series11.0ms (0.5%)

rewrite101.0ms (4.9%)

eval32.0ms (1.5%)

prune13.0ms (0.6%)

regimes34.0ms (1.6%)

derivations42.0ms (2%)

preprocess14.0ms (0.7%)

end0.0ms (0%)

Profiling