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

2.2MiB live, 2.2MiB 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)

sample1.7s (61.1%)

Memory

-74.4MiB live, 1 132.6MiB allocated; 1.2s collecting garbage

Samples

915.0ms	2 618×	0	exit
445.0ms	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 938.0ms

ival-sqrt: 652.0ms (69.5% of total)

ival-expm1: 167.0ms (17.8% of total)

ival-mult!: 60.0ms (6.4% of total)

ival-div!: 57.0ms (6.1% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess50.0ms (1.8%)

Memory

-30.4MiB live, 15.1MiB allocated; 18ms 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 22 to 20 computations (9.1% saved)

series5.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))
2.0ms	x	@	inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))
1.0ms	x	@	0	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite140.0ms (5.1%)

Memory

30.9MiB live, 118.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	548
0	130	506
1	949	400
0	8238	341

Stop Event

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

Counts

39 → 149

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

Outputs
(*.f64 (pow.f64 (-.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 1/4 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(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))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 (neg.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x)) #s(literal 1 binary64)) (expm1.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))) (expm1.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 (+.f64 x x)))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (exp.f64 (+.f64 x x)))
(.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))) (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (+.f64 x x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)))) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(expm1.f64 (+.f64 x x))
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)))) (cosh.f64 (+.f64 x x)))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))) (-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (-.f64 (.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) (.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))))))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 (+.f64 x x)) (neg.f64 (sinh.f64 (+.f64 x x))))
(fabs.f64 (neg.f64 (exp.f64 (+.f64 x x))))
(fabs.f64 (exp.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(exp.f64 (+.f64 x x))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x))))
(-.f64 x (neg.f64 x))
(+.f64 x x)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (exp.f64 x))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (exp.f64 x))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 7/96 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (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 x #s(literal -2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp (* 2 x)) 1) (+.f64 x x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (exp (* 2 x)) #s(literal 1 binary64))
#s(approx (exp (* 2 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (exp (* 2 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (- (exp (* 2 x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (exp (* 2 x)) (exp.f64 (+.f64 x x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))

eval35.0ms (1.3%)

Memory: -39.9MiB live, 19.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 280 to 622 computations (51.4% saved)

prune9.0ms (0.3%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	137	6	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	6	144

Accuracy

100.0%

Counts

144 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
▶	65.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
▶	63.4%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
▶	70.4%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
	65.0%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
▶	62.9%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 166 to 164 computations (1.2% saved)

series6.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

23 → 31

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

Outputs
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) #s(hole binary64 (/ 2 (sqrt 2))))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) #s(hole binary64 (+ (* 1/2 (/ x (sqrt 2))) (* 2 (/ 1 (sqrt 2))))))
#s(approx (+ 2 (* 1/2 x)) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt (+ 1 (exp x)))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) #s(hole binary64 (* 1/2 (/ x (sqrt 2)))))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (sqrt 2))) (* 2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ 2 (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite145.0ms (5.3%)

Memory

35.6MiB live, 119.0MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	644
0	155	581
1	1008	483
0	8369	457

Stop Event

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

Counts

54 → 459

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

Outputs
(*.f64 (pow.f64 (-.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 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x #s(literal 0 binary64)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))))
(/.f64 (sqrt.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(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))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x #s(literal 0 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x)) #s(literal 1 binary64)) (expm1.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (expm1.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))) (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal -1 binary64)
(*.f64 (pow.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))
(fabs.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 #s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(pow.f64 #s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 #s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64)))) (sqrt.f64 #s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64))))))
(sqrt.f64 #s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64))))))
(fabs.f64 (sqrt.f64 #s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (/.f64 #s(literal 2 binary64) x)) x)) x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))
(.f64 (-.f64 (.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (+.f64 x x)))))
(.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (/.f64 #s(literal 2 binary64) x)) (.f64 x (/.f64 #s(literal 2 binary64) x)))) (-.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) x))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 x x))
(fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x #s(literal -1 binary64)) (/.f64 x x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (/.f64 x x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 x x))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 x x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- (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 x) -1)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (- (exp x) -1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 7/96 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ 2 (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (- x -2) (-.f64 x #s(literal -2 binary64)))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
#s(approx (+ 2 (* 1/2 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (+.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))

eval62.0ms (2.3%)

Memory: -41.4MiB live, 63.1MiB allocated; 14ms collecting garbage
Compiler: Compiled 4 103 to 1 824 computations (55.5% saved)

prune9.0ms (0.3%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	437	3	440
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	438	8	446

Accuracy

100.0%

Counts

446 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	65.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
✓	63.4%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
▶	4.1%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
▶	4.8%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	70.4%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
▶	65.0%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
▶	62.9%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 122 to 121 computations (0.8% saved)

series9.0ms (0.3%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

22 → 37

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 3/8 binary64) x)
#s(literal 3/8 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)

Outputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (/ 2 (sqrt 2))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (+ (* 1/2 (/ x (sqrt 2))) (* 2 (/ 1 (sqrt 2))))))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 2))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) #s(hole binary64 (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* 1/2 (* 3/8 x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/2 (* 3/8 x)) 1/2) #s(hole binary64 (+ 1/2 (* 3/16 x))))
#s(approx (* 3/8 x) #s(hole binary64 (* 3/8 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (* 1/2 (/ x (sqrt 2)))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (sqrt 2))) (* 2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2)))))))
#s(approx (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) #s(hole binary64 (* 3/16 (/ x (sqrt 2)))))
#s(approx (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) #s(hole binary64 (* x (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* 1/2 (* 3/8 x)) 1/2) #s(hole binary64 (* 3/16 x)))
#s(approx (+ (* 1/2 (* 3/8 x)) 1/2) #s(hole binary64 (* x (+ 3/16 (* 1/2 (/ 1 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) x 1/2 2 (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) (+ (* 1/2 (* 3/8 x)) 1/2) (* 3/8 x) 3/8 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (* (* x x) 1/2) (* x x) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* x x) 1/2) x))
3.0ms	x	@	inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) x 1/2 2 (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) (+ (* 1/2 (* 3/8 x)) 1/2) (* 3/8 x) 3/8 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (* (* x x) 1/2) (* x x) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* x x) 1/2) x))
3.0ms	x	@	-inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) x 1/2 2 (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) (+ (* 1/2 (* 3/8 x)) 1/2) (* 3/8 x) 3/8 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (* (* x x) 1/2) (* x x) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* x x) 1/2) x))

Time

Variable

Point

Expression

3.0ms

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) x 1/2 2 (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) (+ (* 1/2 (* 3/8 x)) 1/2) (* 3/8 x) 3/8 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (* (* x x) 1/2) (* x x) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* x x) 1/2) x))

3.0ms

inf

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) x 1/2 2 (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) (+ (* 1/2 (* 3/8 x)) 1/2) (* 3/8 x) 3/8 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (* (* x x) 1/2) (* x x) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* x x) 1/2) x))

3.0ms

-inf

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) x 1/2 2 (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) (+ (* 1/2 (* 3/8 x)) 1/2) (* 3/8 x) 3/8 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (* (* x x) 1/2) (* x x) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* x x) 1/2) x))

rewrite148.0ms (5.4%)

Memory

24.0MiB live, 67.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	997
0	197	885
1	1338	744
0	8101	698

Stop Event

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

Counts

59 → 336

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 3/8 binary64) x)
#s(literal 3/8 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (/ 2 (sqrt 2))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (+ (* 1/2 (/ x (sqrt 2))) (* 2 (/ 1 (sqrt 2))))))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 2))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) #s(hole binary64 (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* 1/2 (* 3/8 x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/2 (* 3/8 x)) 1/2) #s(hole binary64 (+ 1/2 (* 3/16 x))))
#s(approx (* 3/8 x) #s(hole binary64 (* 3/8 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (* 1/2 (/ x (sqrt 2)))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (sqrt 2))) (* 2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2)))))))
#s(approx (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) #s(hole binary64 (* 3/16 (/ x (sqrt 2)))))
#s(approx (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) #s(hole binary64 (* x (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* 1/2 (* 3/8 x)) 1/2) #s(hole binary64 (* 3/16 x)))
#s(approx (+ (* 1/2 (* 3/8 x)) 1/2) #s(hole binary64 (* x (+ 3/16 (* 1/2 (/ 1 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))))))

Outputs
#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 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 8 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 8 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 #s(literal 2 binary64))))
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#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 x (*.f64 #s(literal 1/2 binary64) x) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) x)))) (.f64 x (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x x))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 #s(literal 1/2 binary64) x)))) (-.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)))) (fma.f64 x x (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 #s(literal 1/2 binary64) x))) (.f64 x (.f64 x (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 #s(literal 1/2 binary64) x)) (fma.f64 x x (.f64 (.f64 x (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 #s(literal 1/2 binary64) x))) (.f64 x x))) (neg.f64 (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 x x) (.f64 (.f64 x (*.f64 #s(literal 1/2 binary64) x)) x)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 #s(literal 1/2 binary64) x))) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 #s(literal 1/2 binary64) x))) (.f64 x x)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 x x) (.f64 (.f64 x (*.f64 #s(literal 1/2 binary64) x)) x))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) x)
(-.f64 (/.f64 (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 #s(literal 1/2 binary64) x))) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) x)))
(-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) x)))))
(+.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) x)
(+.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (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 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 7/96 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* x 1/2) 2) #s(literal 2 binary64))
#s(approx (+ (* x 1/2) 2) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/2 (* 3/8 x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/2 (* 3/8 x)) 1/2) (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)))
#s(approx (* 3/8 x) (*.f64 #s(literal 3/8 binary64) x))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 x #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (* (* x x) 1/2) (.f64 x (.f64 #s(literal 1/2 binary64) x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (* x x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
#s(approx (+ (* x 1/2) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x)))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))) (*.f64 x x)))
#s(approx (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) (*.f64 #s(literal 3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
#s(approx (+ (* 1/2 (* 3/8 x)) 1/2) (*.f64 #s(literal 3/16 binary64) x))
#s(approx (+ (* 1/2 (* 3/8 x)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3/16 binary64)) x))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 x (*.f64 #s(literal 1/2 binary64) x) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (+.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x)) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x)))

eval43.0ms (1.6%)

Memory: 9.3MiB live, 53.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 348 to 1 600 computations (63.2% saved)

prune17.0ms (0.6%)

Memory

-24.8MiB live, 18.4MiB allocated; 6ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	372	3	375
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	373	10	383

Accuracy

100.0%

Counts

383 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	65.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
✓	63.4%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
✓	4.1%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
✓	4.8%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	70.4%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
▶	65.0%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
✓	62.9%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	69.4%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	4.0%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 167 to 165 computations (1.2% saved)

series7.0ms (0.3%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

17 → 29

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 3/16 binary64) (.f64 x x))
#s(literal 3/16 binary64)
(*.f64 x x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* x 1/2) 2) #s(literal 2 binary64))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

Outputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (* 3/16 (* x x)) (sqrt 2)) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (* 3/16 (* x x)) #s(hole binary64 (* 3/16 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (/ 2 (sqrt 2))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (+ (* 1/2 (/ x (sqrt 2))) (* 2 (/ 1 (sqrt 2))))))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 2))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (+ (* x 3/16) 1/2) (sqrt 2)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (/ (+ (* x 3/16) 1/2) (sqrt 2)) #s(hole binary64 (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* x 3/16) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* x 3/16) 1/2) #s(hole binary64 (+ 1/2 (* 3/16 x))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2)))))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (* 1/2 (/ x (sqrt 2)))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (sqrt 2))) (* 2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (/ (+ (* x 3/16) 1/2) (sqrt 2)) #s(hole binary64 (* 3/16 (/ x (sqrt 2)))))
#s(approx (/ (+ (* x 3/16) 1/2) (sqrt 2)) #s(hole binary64 (* x (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* x 3/16) 1/2) #s(hole binary64 (* 3/16 x)))
#s(approx (+ (* x 3/16) 1/2) #s(hole binary64 (* x (+ 3/16 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (* 3/16 (* x x)) (sqrt 2)) (* 3/16 (* x x)) 3/16 (* x x) x (sqrt 2) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* x 3/16) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* x 3/16) 1/2) (sqrt 2)) (+ (* x 3/16) 1/2) 1/2)
2.0ms	x	@	-inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (* 3/16 (* x x)) (sqrt 2)) (* 3/16 (* x x)) 3/16 (* x x) x (sqrt 2) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* x 3/16) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* x 3/16) 1/2) (sqrt 2)) (+ (* x 3/16) 1/2) 1/2)
2.0ms	x	@	0	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (* 3/16 (* x x)) (sqrt 2)) (* 3/16 (* x x)) 3/16 (* x x) x (sqrt 2) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* x 3/16) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* x 3/16) 1/2) (sqrt 2)) (+ (* x 3/16) 1/2) 1/2)

Time

Variable

Point

Expression

2.0ms

inf

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (* 3/16 (* x x)) (sqrt 2)) (* 3/16 (* x x)) 3/16 (* x x) x (sqrt 2) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* x 3/16) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* x 3/16) 1/2) (sqrt 2)) (+ (* x 3/16) 1/2) 1/2)

2.0ms

-inf

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (* 3/16 (* x x)) (sqrt 2)) (* 3/16 (* x x)) 3/16 (* x x) x (sqrt 2) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* x 3/16) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* x 3/16) 1/2) (sqrt 2)) (+ (* x 3/16) 1/2) 1/2)

2.0ms

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (* 3/16 (* x x)) (sqrt 2)) (* 3/16 (* x x)) 3/16 (* x x) x (sqrt 2) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* x 3/16) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* x 3/16) 1/2) (sqrt 2)) (+ (* x 3/16) 1/2) 1/2)

rewrite215.0ms (7.9%)

Memory

-38.8MiB live, 230.7MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	761
0	162	645
1	1099	561
0	8237	544

Stop Event

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

Counts

46 → 311

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 3/16 binary64) (.f64 x x))
#s(literal 3/16 binary64)
(*.f64 x x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* x 1/2) 2) #s(literal 2 binary64))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (* 3/16 (* x x)) (sqrt 2)) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (* 3/16 (* x x)) #s(hole binary64 (* 3/16 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (/ 2 (sqrt 2))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (+ (* 1/2 (/ x (sqrt 2))) (* 2 (/ 1 (sqrt 2))))))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 2))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (+ (* x 3/16) 1/2) (sqrt 2)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (/ (+ (* x 3/16) 1/2) (sqrt 2)) #s(hole binary64 (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* x 3/16) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* x 3/16) 1/2) #s(hole binary64 (+ 1/2 (* 3/16 x))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2)))))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (* 1/2 (/ x (sqrt 2)))))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (sqrt 2))) (* 2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* x 1/2) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (/ (+ (* x 3/16) 1/2) (sqrt 2)) #s(hole binary64 (* 3/16 (/ x (sqrt 2)))))
#s(approx (/ (+ (* x 3/16) 1/2) (sqrt 2)) #s(hole binary64 (* x (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* x 3/16) 1/2) #s(hole binary64 (* 3/16 x)))
#s(approx (+ (* x 3/16) 1/2) #s(hole binary64 (* x (+ 3/16 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))))))

Outputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 (.f64 #s(literal 3/16 binary64) x) x) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 (.f64 #s(literal 3/16 binary64) x) x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (neg.f64 (.f64 (*.f64 #s(literal 3/16 binary64) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64))
(.f64 (.f64 (.f64 #s(literal 3/16 binary64) x) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 3/16 binary64) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 #s(literal 3/16 binary64) x) x) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3/16 binary64) x) x)) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -3/8 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 3/8 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 16/3 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal -3/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 16/3 binary64)))
(/.f64 (.f64 #s(literal -3/8 binary64) (neg.f64 (.f64 x x))) (*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal -3/8 binary64) (.f64 x x)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 3/8 binary64) (neg.f64 (.f64 x x))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))) (*.f64 #s(literal 16/3 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 #s(literal 16/3 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 3/16 binary64) x) x))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3/16 binary64) x) x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -3/8 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) #s(literal -2 binary64)))
(/.f64 #s(literal -3/8 binary64) (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3/16 binary64) x) x))))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 16/3 binary64))
(/.f64 (.f64 (.f64 #s(literal 3/16 binary64) x) x) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 3/8 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) #s(literal 2 binary64)))
(/.f64 #s(literal 3/8 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))))
(/.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3/16 binary64) x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) #s(literal 16/3 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal 16/3 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3/16 binary64) x) x)))
(.f64 (.f64 #s(literal 3/16 binary64) x) x)
(.f64 (.f64 x x) #s(literal 3/16 binary64))
(.f64 #s(literal 3/16 binary64) (.f64 x x))
(/.f64 (*.f64 x x) #s(literal 16/3 binary64))
#s(literal 3/16 binary64)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #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 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 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 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #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))))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (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) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/2 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))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #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))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 0 binary64) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (neg.f64 #s(approx (+ ( x 1/2) 2) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(approx (+ ( x 1/2) 2) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( x 1/2) 2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64))))
#s(approx (+ (* x 1/2) 2) #s(literal 2 binary64))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))) (*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
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(+.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 3/16 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (+.f64 (/.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/16 binary64) x))) (*.f64 #s(literal 3/16 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/16 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 3/16 binary64) x))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 9/256 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/16 binary64) x))))
(.f64 (-.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 3/16 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/16 binary64) x))))))
(.f64 (fma.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 3/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 3/16 binary64) x) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -3/16 binary64) x) (.f64 #s(literal -3/16 binary64) x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/16 binary64) x)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -3/16 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal -3/16 binary64) x) (.f64 #s(literal -3/16 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/16 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 3/16 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 9/256 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/16 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 3/16 binary64) x)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/16 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 3/16 binary64) x) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 9/256 binary64) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 3/16 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 9/256 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/16 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 3/16 binary64) x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 3/16 binary64) x))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/16 binary64) x)))))
(/.f64 (fma.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 3/16 binary64) x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/16 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 3/16 binary64) x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/16 binary64) x)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 9/256 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 9/256 binary64) (*.f64 x x)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/16 binary64) x)))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 3/16 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 3/16 binary64) x) #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/16 binary64) x))) (/.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/16 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 3/16 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/16 binary64) x))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 3/16 binary64) x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/16 binary64) x))))) (/.f64 (.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 3/16 binary64) x)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/16 binary64) x))))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (.f64 #s(literal 3/16 binary64) x)) (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/16 binary64) x))
#s(literal 1/2 binary64)
#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 (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))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 7/96 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* 3/16 (* x x)) (sqrt 2)) (/.f64 (.f64 (.f64 #s(literal 3/16 binary64) x) x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 3/16 (* x x)) (.f64 (.f64 #s(literal 3/16 binary64) x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* x 1/2) 2) #s(literal 2 binary64))
#s(approx (+ (* x 1/2) 2) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (/ (+ (* x 3/16) 1/2) (sqrt 2)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* x 3/16) 1/2) (sqrt 2)) (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* x 3/16) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* x 3/16) 1/2) (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x)))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))) (*.f64 x x)))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* x 1/2) 2) (sqrt 2)) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
#s(approx (+ (* x 1/2) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) x))
#s(approx (/ (+ (* x 3/16) 1/2) (sqrt 2)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64)))
#s(approx (/ (+ (* x 3/16) 1/2) (sqrt 2)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
#s(approx (+ (* x 3/16) 1/2) (*.f64 #s(literal 3/16 binary64) x))
#s(approx (+ (* x 3/16) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) x))
#s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x)) (/.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x)))

eval63.0ms (2.3%)

Memory: 22.6MiB live, 114.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 130 to 1 606 computations (61.1% saved)

prune16.0ms (0.6%)

Memory

-15.8MiB live, 29.3MiB allocated; 4ms collecting garbage

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	390	1	391
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	390	11	401

Accuracy

100.0%

Counts

401 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	65.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
✓	63.4%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
✓	4.1%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
✓	4.8%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	70.4%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
✓	65.0%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
✓	62.9%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	69.4%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	4.0%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 16/3 binary64))))
✓	4.0%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 322 to 280 computations (13% saved)

regimes10.0ms (0.4%)

Memory

24.7MiB live, 24.7MiB allocated; 0ms collecting garbage

Counts

14 → 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 (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 16/3 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

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

Calls

3 calls:

4.0ms

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))))

3.0ms

(/.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
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 22 to 20 computations (9.1% saved)

regimes14.0ms (0.5%)

Memory

-29.2MiB live, 20.3MiB allocated; 9ms collecting garbage

Accuracy

Total -44.1b remaining (-232.5%)

Threshold costs -44.1b (-232.5%)

Counts

10 → 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 (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(approx (+ (* x 1/2) 2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 1/2 (* 3/8 x)) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 16/3 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))

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

Calls

3 calls:

8.0ms

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

3.0ms

2.0ms

(/.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
70.4%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
70.4%	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))))`
70.4%	1	`x`

Compiler

Compiled 22 to 20 computations (9.1% saved)

derivations42.0ms (1.6%)

Memory

-5.1MiB live, 39.3MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 16 to 16 computations (0% saved)

preprocess14.0ms (0.5%)

Memory: 35.5MiB live, 35.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 27 to 26 computations (3.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.7s (61.1%)

preprocess50.0ms (1.8%)

series5.0ms (0.2%)

rewrite140.0ms (5.1%)

eval35.0ms (1.3%)

prune9.0ms (0.3%)

series6.0ms (0.2%)

rewrite145.0ms (5.3%)

eval62.0ms (2.3%)

prune9.0ms (0.3%)

series9.0ms (0.3%)

rewrite148.0ms (5.4%)

eval43.0ms (1.6%)

prune17.0ms (0.6%)

series7.0ms (0.3%)

rewrite215.0ms (7.9%)

eval63.0ms (2.3%)

prune16.0ms (0.6%)

regimes10.0ms (0.4%)

regimes14.0ms (0.5%)

derivations42.0ms (1.6%)

preprocess14.0ms (0.5%)

end0.0ms (0%)

Profiling