Metrics for sqrtexp (problem 3.4.4)

start0.0ms (0.0%)

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

analyze2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.1s (48.6%)

Memory

48.0MiB live, 857.9MiB allocated; 871ms collecting garbage

Samples

455.0ms	8 256×	0	valid
390.0ms	2 664×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 381.0ms

ival-expm1: 127.0ms (33.3% of total)

ival-mult!: 117.0ms (30.7% of total)

ival-sqrt: 76.0ms (20.0% of total)

ival-div!: 59.0ms (15.5% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess41.0ms (1.8%)

Memory

29.7MiB live, 29.7MiB allocated; 0ms 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
▶	38.4%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
2
1

Outputs
#s(literal 2 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series18.0ms (0.8%)

Memory

-31.2MiB live, 14.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	430

Stop Event

1×	iter-limit

Counts

10 → 29

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite181.0ms (7.9%)

Memory

9.5MiB live, 160.0MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
0	17	45
1	85	45
2	351	45
3	1904	45
0	5449	33

Stop Event

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

Counts

10 → 717

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
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))))
(*.f64 (sqrt.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(.f64 (sqrt.f64 (-.f64 (.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x)) (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (expm1.f64 x))) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 (exp.f64 (+.f64 x x))) (expm1.f64 x) (.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x))))) (sqrt.f64 (.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x))))
(/.f64 (sqrt.f64 (fma.f64 (expm1.f64 x) (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) (expm1.f64 x)))) (fabs.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 (exp.f64 (+.f64 x x))) (expm1.f64 x) (.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)))) (sqrt.f64 (.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x))))
(/.f64 (sqrt.f64 (fma.f64 (expm1.f64 x) (exp.f64 (+.f64 x x)) (*.f64 (expm1.f64 x) #s(literal -1 binary64)))) (fabs.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) (.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)))) (fabs.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (+.f64 x x))) (expm1.f64 x)) (.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))) (.f64 (expm1.f64 x) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x)))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x)))) (sqrt.f64 (neg.f64 (.f64 (expm1.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x))) (fabs.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)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (fabs.f64 (neg.f64 (expm1.f64 (+.f64 x x)))))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (fabs.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (fabs.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(.f64 (fabs.f64 (-.f64 (.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x)))))
(*.f64 (fabs.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (fabs.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 (fabs.f64 (expm1.f64 (+.f64 x x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 0 binary64)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.f64 (expm1.f64 x) #s(literal 0 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(+.f64 (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 0 binary64))))
(.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal 0 binary64) x)))
(pow.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (E.f64) x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (fma.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 4 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 4 binary64)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))))) (sqrt.f64 #s(literal 4 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))) (sqrt.f64 #s(literal 4 binary64)))
(/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.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 (neg.f64 x))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.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 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (neg.f64 (sinh.f64 (neg.f64 x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (*.f64 x #s(literal -1 binary64))))
(-.f64 (cosh.f64 x) (sinh.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (neg.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (sinh.f64 x))

eval69.0ms (3.0%)

Memory: -13.3MiB live, 80.2MiB allocated; 15ms collecting garbage
Compiler: Compiled 15 049 to 3 166 computations (79.0% saved)

prune11.0ms (0.5%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	733	7	740
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	734	7	741

Accuracy

100.0%

Counts

741 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.7%	(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
▶	100.0%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
	62.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
▶	64.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
▶	62.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
▶	69.8%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
▶	62.9%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 234 to 188 computations (19.7% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2
(sqrt 2)
1/2
1

Outputs
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series16.0ms (0.7%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	559

Stop Event

1×	iter-limit

Counts

25 → 35

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
5.0ms	x	-inf
3.0ms	x	inf
2.0ms	x	0

rewrite144.0ms (6.2%)

Memory

-20.5MiB live, 115.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	185
0	50	171
1	264	171
2	900	169
3	3840	169
0	4021	159

Stop Event

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

Counts

25 → 566

Calls

Call 1

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

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

eval74.0ms (3.2%)

Memory: 1.8MiB live, 95.2MiB allocated; 20ms collecting garbage
Compiler: Compiled 13 071 to 2 361 computations (81.9% saved)

prune12.0ms (0.5%)

Memory

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

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	582	5	587
Fresh	1	1	2
Picked	3	2	5
Done	0	0	0
Total	586	8	594

Accuracy

100.0%

Counts

594 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.7%	(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
▶	68.9%	(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
✓	100.0%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
▶	62.5%	(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
▶	64.5%	(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))))
▶	62.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
✓	69.8%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
▶	62.9%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))))

Compiler

Compiled 266 to 190 computations (28.6% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2
-2
6369051672525773/4503599627370496
1/2
1
1/6

Outputs
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 8 to 8 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series27.0ms (1.2%)

Memory

-19.6MiB live, 25.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	1274

Stop Event

1×	iter-limit

Counts

30 → 53

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
#s(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))
x
#s(literal -2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))))
(+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64))))
#s(literal 6369051672525773/4503599627370496 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
#s(literal 1/2 binary64)
(/.f64 x #s(literal 6369051672525773/4503599627370496 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)
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)

Outputs
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))))))
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64))
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)))
#s(approx (* 1/2 (/ x 6369051672525773/4503599627370496)) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))
#s(approx (/ x 6369051672525773/4503599627370496) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) x))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x (+ 1/2 (* 1/6 x))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
#s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/6 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))) #s(literal 2 binary64)))
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
#s(approx (- x -2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) (.f64 x (+.f64 #s(literal 2251799813685248/6369051672525773 binary64) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* 1/2 x) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/2 (* 1/6 x)) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x)))
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)))))
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1/6 binary64)))))

Calls

3 calls:

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

rewrite166.0ms (7.2%)

Memory

-0.7MiB live, 145.9MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	298
0	61	281
1	345	275
2	1252	275
0	4070	214

Stop Event

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

Counts

30 → 586

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
#s(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))
x
#s(literal -2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))))
(+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64))))
#s(literal 6369051672525773/4503599627370496 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
#s(literal 1/2 binary64)
(/.f64 x #s(literal 6369051672525773/4503599627370496 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)
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)

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

eval68.0ms (3.0%)

Memory: 22.8MiB live, 112.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 22 371 to 2 805 computations (87.5% saved)

prune19.0ms (0.8%)

Memory

-41.3MiB live, 23.0MiB allocated; 15ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	574	3	577
Fresh	0	1	1
Picked	1	4	5
Done	1	1	2
Total	576	9	585

Accuracy

100.0%

Counts

585 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.7%	(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
✓	68.9%	(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
✓	100.0%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
▶	62.5%	(sqrt.f64 #s(approx (/ (- (exp (+ x 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))))
✓	64.5%	(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))))
✓	62.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
▶	62.9%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64)))
✓	62.9%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))))
▶	69.8%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64)))

Compiler

Compiled 166 to 121 computations (27.1% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
6369051672525773/4503599627370496
2251799813685248/6369051672525773
1/6
1/2
1
2

Outputs
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 1592262918131443/4503599627370496 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 8 to 8 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series18.0ms (0.8%)

Memory

28.3MiB live, 28.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1252

Stop Event

1×	iter-limit

Counts

22 → 60

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64)))
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64))
#s(literal 6369051672525773/4503599627370496 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64)))
(fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64))
x
#s(literal 2251799813685248/6369051672525773 binary64)
(sqrt.f64 #s(approx (/ (- (exp (+ x 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 (+ x 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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(sqrt.f64 (expm1.f64 (+.f64 x x)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(sqrt.f64 (expm1.f64 x))
(expm1.f64 x)

Outputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64))
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)))
#s(approx x x)
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 x (-.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 1/12 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))) (.f64 #s(literal 1/12 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt (- (exp (+ x x)) 1)) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))))))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))))))
#s(approx (sqrt (- (exp x) 1)) (sqrt.f64 x))
#s(approx (sqrt (- (exp x) 1)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))
#s(approx (sqrt (- (exp x) 1)) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (/.f64 x (sqrt.f64 x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (- (exp x) 1)) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (sqrt.f64 x)) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) (.f64 x (+.f64 #s(literal 2251799813685248/6369051672525773 binary64) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (expm1.f64 x))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (sqrt.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt (- (exp x) 1)) (sqrt.f64 (expm1.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1/6 binary64)))))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (/.f64 (sqrt.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))) (sqrt.f64 (expm1.f64 x))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (sqrt.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))

Calls

3 calls:

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

rewrite151.0ms (6.6%)

Memory

-7.5MiB live, 179.7MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	139
0	53	134
1	284	128
2	875	128
3	3932	128
0	4053	128

Stop Event

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

Counts

22 → 417

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64)))
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64))
#s(literal 6369051672525773/4503599627370496 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64)))
(fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64))
x
#s(literal 2251799813685248/6369051672525773 binary64)
(sqrt.f64 #s(approx (/ (- (exp (+ x 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 (+ x 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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(sqrt.f64 (expm1.f64 (+.f64 x x)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(sqrt.f64 (expm1.f64 x))
(expm1.f64 x)

Outputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64)))
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64))
#s(literal 6369051672525773/4503599627370496 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64))) #s(literal 6369051672525773/4503599627370496 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -6369051672525773/4503599627370496 binary64) (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2251799813685248/6369051672525773 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64))) #s(literal 6369051672525773/4503599627370496 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 4503599627370496/6369051672525773 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))
(/.f64 (+.f64 #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal -6369051672525773/4503599627370496 binary64))
(/.f64 (-.f64 #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -6369051672525773/4503599627370496 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -6369051672525773/4503599627370496 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 6369051672525773/4503599627370496 binary64))
(/.f64 (-.f64 (.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 6369051672525773/4503599627370496 binary64)) (.f64 (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))) (-.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)) (.f64 #s(literal -6369051672525773/4503599627370496 binary64) #s(literal -6369051672525773/4503599627370496 binary64))) (+.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 6369051672525773/4503599627370496 binary64)) (.f64 (.f64 #s(literal -2251799813685248/6369051672525773 binary64) x) (.f64 #s(literal -2251799813685248/6369051672525773 binary64) x))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal -2251799813685248/6369051672525773 binary64) x)))
(/.f64 (+.f64 (pow.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 6369051672525773/4503599627370496 binary64) (-.f64 (.f64 (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal -6369051672525773/4503599627370496 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) (fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) #s(literal -6369051672525773/4503599627370496 binary64) (.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2251799813685248/6369051672525773 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 (.f64 #s(literal -2251799813685248/6369051672525773 binary64) x) (.f64 #s(literal -2251799813685248/6369051672525773 binary64) x) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal -2251799813685248/6369051672525773 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 6369051672525773/4503599627370496 binary64))) (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) (-.f64 (.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 6369051672525773/4503599627370496 binary64)) (.f64 (.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))
(neg.f64 (fma.f64 #s(literal -2251799813685248/6369051672525773 binary64) x #s(literal -6369051672525773/4503599627370496 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 4503599627370496/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64))
(fma.f64 (*.f64 #s(literal -4503599627370496/6369051672525773 binary64) x) #s(literal -1/2 binary64) #s(literal 6369051672525773/4503599627370496 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -4503599627370496/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4503599627370496/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -4503599627370496/6369051672525773 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64))
(fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64))
(fma.f64 (neg.f64 x) #s(literal -2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64))
(fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64))
(fma.f64 (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) x) #s(literal 1/2 binary64) #s(literal 6369051672525773/4503599627370496 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64))
(fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64))
(-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64))
(-.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal -2251799813685248/6369051672525773 binary64) x))
(+.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64))
(+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))
x
#s(literal 2251799813685248/6369051672525773 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x 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))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x 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))))))
(*.f64 (pow.f64 #s(approx (/ (- (exp (+ x 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))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (/ (- (exp (+ x 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))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 #s(approx (/ (- (exp (+ x 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(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (exp (+ x 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(literal -1/2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (+ x 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))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x 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)))))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x 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))))))
(fabs.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x 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)))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (+ x 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(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x 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))))) (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x 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))))))
(*.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x 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)))) (sqrt.f64 #s(approx (/ (- (exp (+ x 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)))))
(pow.f64 (*.f64 #s(approx (/ (- (exp (+ x 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 (+ x 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(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x 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(literal 2 binary64))
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(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(+.f64 (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))

eval45.0ms (2.0%)

Memory: 28.6MiB live, 73.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 10 638 to 1 986 computations (81.3% saved)

prune30.0ms (1.3%)

Memory

-30.2MiB live, 15.0MiB allocated; 9ms collecting garbage

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	456	2	458
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	456	11	467

Accuracy

100.0%

Counts

467 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.7%	(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
✓	68.9%	(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
✓	100.0%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
✓	62.5%	(sqrt.f64 #s(approx (/ (- (exp (+ x 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))))
	62.5%	(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
✓	64.5%	(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))))
✓	62.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
✓	62.9%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64)))
✓	62.9%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))))
	2.8%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)))
✓	69.8%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64)))

Compiler

Compiled 218 to 161 computations (26.1% saved)

regimes28.0ms (1.2%)

Memory

35.8MiB live, 35.8MiB allocated; 0ms collecting garbage

Counts

15 → 1

18 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (+ x 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))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))

Outputs

#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64)))

Call 2

Inputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp ( 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (+ x 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))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(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 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))

Calls

6 calls:

5.0ms	x
5.0ms	x
4.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
4.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
69.8%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
69.8%	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))))`
69.8%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
100.0%	1	`x`

Compiler

Compiled 404 to 140 computations (65.3% saved)

derivations51.0ms (2.2%)

Memory

-39.7MiB live, 6.2MiB allocated; 4ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 30 to 23 computations (23.3% saved)

preprocess12.0ms (0.5%)

Memory: 29.3MiB live, 29.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 42 to 33 computations (21.4% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze2.0ms (0.1%)

sample1.1s (48.6%)

preprocess41.0ms (1.8%)

sample0.0ms (0.0%)

series18.0ms (0.8%)

rewrite181.0ms (7.9%)

eval69.0ms (3.0%)

prune11.0ms (0.5%)

sample0.0ms (0.0%)

series16.0ms (0.7%)

rewrite144.0ms (6.2%)

eval74.0ms (3.2%)

prune12.0ms (0.5%)

sample0.0ms (0.0%)

series27.0ms (1.2%)

rewrite166.0ms (7.2%)

eval68.0ms (3.0%)

prune19.0ms (0.8%)

sample0.0ms (0.0%)

series18.0ms (0.8%)

rewrite151.0ms (6.6%)

eval45.0ms (2.0%)

prune30.0ms (1.3%)

regimes28.0ms (1.2%)

derivations51.0ms (2.2%)

preprocess12.0ms (0.5%)

end0.0ms (0.0%)

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