sqrtexp (problem 3.4.4)

Time bar (total: 2.2s)

start0.0ms (0.0%)

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

analyze2.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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 (50.2%)

Memory
46.0MiB live, 779.6MiB allocated; 768ms collecting garbage
Samples
652.0ms8 256×0valid
138.0ms2 652×0exit
Precisions
Click to see histograms. Total time spent on operations: 580.0ms
ival-mult!: 320.0ms (55.2% of total)
ival-expm1: 134.0ms (23.1% of total)
ival-sqrt: 72.0ms (12.4% of total)
ival-div!: 52.0ms (9.0% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess46.0ms (2.1%)

Memory
-21.4MiB live, 23.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01941
18239
233739
3227039
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.2%
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
1
Outputs
#s(literal 2 binary64)
#s(literal 1 binary64)
Samples
0.0ms0valid
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)

series13.0ms (0.6%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112430
Stop Event
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:

TimeVariablePoint
2.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite156.0ms (7.1%)

Memory
-6.8MiB live, 136.1MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01045
01745
18545
235145
3190445
0544933
Stop Event
iter-limit
node-limit
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)))
(*.f64 (pow.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 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
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(/.f64 (-.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) x)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 0 binary64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(expm1.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(expm1.f64 (neg.f64 (neg.f64 x)))
(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))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (*.f64 x #s(literal -1 binary64))))
(-.f64 (cosh.f64 x) (sinh.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(exp.f64 (*.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))

eval62.0ms (2.8%)

Memory
36.3MiB live, 80.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 15 049 to 3 166 computations (79.0% saved)

prune15.0ms (0.7%)

Memory
-28.5MiB live, 17.5MiB allocated; 3ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New7337740
Fresh000
Picked101
Done000
Total7347741
Accuracy
100.0%
Counts
741 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.9%
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
99.6%
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
66.0%
(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))))))))
67.7%
(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))))))
65.6%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
71.9%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
66.0%
#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 248 to 198 computations (20.2% 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
0.0ms0valid
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)

series17.0ms (0.8%)

Memory
16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145559
Stop Event
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:

TimeVariablePoint
5.0ms
x
-inf
3.0ms
x
inf
2.0ms
x
0

rewrite139.0ms (6.4%)

Memory
-12.4MiB live, 126.0MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032185
050171
1264171
2900169
33840169
04021159
Stop Event
iter-limit
node-limit
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)))
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#s(literal 1 binary64)
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eval76.0ms (3.5%)

Memory
-0.6MiB live, 97.0MiB allocated; 25ms collecting garbage
Compiler

Compiled 13 080 to 2 362 computations (81.9% saved)

prune13.0ms (0.6%)

Memory
21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New5817588
Fresh202
Picked325
Done000
Total5869595
Accuracy
100.0%
Counts
595 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.9%
(*.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)))))
99.6%
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
66.4%
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
66.0%
(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))))))))
67.7%
(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))))
67.7%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
65.6%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
71.9%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
66.0%
#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 328 to 238 computations (27.4% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
-2
6369051672525773/4503599627370496
1/2
1
-1
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 -1 binary64)
Samples
0.0ms0valid
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)

series14.0ms (0.7%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0173930
Stop Event
iter-limit
Counts
26 → 37
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 (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
#s(literal -1 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 (+ (* (+ (* 1/2 x) 1) x) 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
0
2.0ms
x
inf
2.0ms
x
-inf

rewrite156.0ms (7.1%)

Memory
9.1MiB live, 101.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033258
049235
1250229
2880229
33826229
04032183
Stop Event
iter-limit
node-limit
iter-limit
Counts
26 → 470
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 (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
#s(literal -1 binary64)
Outputs
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
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(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(literal -1 binary64)

eval57.0ms (2.6%)

Memory
-26.3MiB live, 85.0MiB allocated; 23ms collecting garbage
Compiler

Compiled 14 446 to 1 723 computations (88.1% saved)

prune15.0ms (0.7%)

Memory
-24.6MiB live, 22.0MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New4065411
Fresh022
Picked145
Done112
Total40812420
Accuracy
100.0%
Counts
420 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.9%
(*.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)))))
99.6%
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
66.4%
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
66.0%
(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))))))))
67.7%
(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))))
66.7%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64))))
67.7%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
65.6%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
66.0%
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64)))
66.0%
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))))
66.0%
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64)))
71.9%
#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 391 to 302 computations (22.8% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
6369051672525773/4503599627370496
2251799813685248/6369051672525773
-6369051672525773/4503599627370496
1/2
2
1
40564819207303346393761349247529/20282409603651670423947251286016
Outputs
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 1592262918131443/4503599627370496 binary64)
#s(literal -6369051672525773/4503599627370496 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 4503599627370497/2251799813685248 binary64)
Samples
0.0ms0valid
Compiler

Compiled 9 to 9 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series15.0ms (0.7%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176591
Stop Event
iter-limit
Counts
24 → 36
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)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64)))
(-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64))
(*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)
#s(literal -6369051672525773/4503599627370496 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 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))))
#s(literal 1 binary64)
(/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
#s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)
Outputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (+ 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 (* 2251799813685248/6369051672525773 x) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (+ (* 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 (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) #s(literal 4503599627370496/6369051672525773 binary64))
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (+.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 #s(literal -45671926166590716193865151022383844364247891968/258359429617980979649462394137437605196409064917 binary64) x)))
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (+.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 463168356949264781694283940034751631413079938662562256157830336031652518559744/10480303552955411917114041908381475441470465943738841148938548616208432462840093 binary64) x) #s(literal 45671926166590716193865151022383844364247891968/258359429617980979649462394137437605196409064917 binary64)))))
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (+.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 463168356949264781694283940034751631413079938662562256157830336031652518559744/10480303552955411917114041908381475441470465943738841148938548616208432462840093 binary64) (*.f64 #s(literal -4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952/425131618863295197238257659133319676920901333405230880776093235293548164742994913425864574015942470059802380197 binary64) x))) #s(literal 45671926166590716193865151022383844364247891968/258359429617980979649462394137437605196409064917 binary64)))))
#s(approx (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
#s(approx (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016) (+.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal 1/2 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 x (+.f64 #s(literal 2251799813685248/6369051672525773 binary64) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 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 (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (/.f64 #s(literal 6369051672525773/2251799813685248 binary64) x))
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (/.f64 (-.f64 #s(literal 6369051672525773/2251799813685248 binary64) (*.f64 #s(literal 258359429617980979649462394137437605196409064917/22835963083295358096932575511191922182123945984 binary64) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (/.f64 (-.f64 (+.f64 #s(literal 6369051672525773/2251799813685248 binary64) (/.f64 #s(literal 10480303552955411917114041908381475441470465943738841148938548616208432462840093/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 258359429617980979649462394137437605196409064917/22835963083295358096932575511191922182123945984 binary64) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (/.f64 (-.f64 (+.f64 #s(literal 6369051672525773/2251799813685248 binary64) (/.f64 #s(literal 10480303552955411917114041908381475441470465943738841148938548616208432462840093/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 258359429617980979649462394137437605196409064917/22835963083295358096932575511191922182123945984 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 425131618863295197238257659133319676920901333405230880776093235293548164742994913425864574015942470059802380197/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x))
#s(approx (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 258359429617980979649462394137437605196409064917/22835963083295358096932575511191922182123945984 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 6369051672525773/2251799813685248 binary64)) x)))
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 10480303552955411917114041908381475441470465943738841148938548616208432462840093/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 258359429617980979649462394137437605196409064917/22835963083295358096932575511191922182123945984 binary64)) x)) #s(literal 6369051672525773/2251799813685248 binary64)) x)))
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 425131618863295197238257659133319676920901333405230880776093235293548164742994913425864574015942470059802380197/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 10480303552955411917114041908381475441470465943738841148938548616208432462840093/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) x)) #s(literal 258359429617980979649462394137437605196409064917/22835963083295358096932575511191922182123945984 binary64)) x)) #s(literal 6369051672525773/2251799813685248 binary64)) x)))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
-inf
2.0ms
x
inf
1.0ms
x
0

rewrite156.0ms (7.2%)

Memory
18.4MiB live, 156.7MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036198
047188
1256182
2824182
33513182
04017154
Stop Event
iter-limit
node-limit
iter-limit
Counts
24 → 707
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)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64)))
(-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64))
(*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)
#s(literal -6369051672525773/4503599627370496 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 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))))
#s(literal 1 binary64)
(/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
#s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)
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 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal 4503599627370496/6369051672525773 binary64)) #s(literal -1 binary64)) (pow.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal -1 binary64)) (pow.f64 #s(literal 4503599627370496/6369051672525773 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 6369051672525773/4503599627370496 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 6369051672525773/4503599627370496 binary64))
(*.f64 #s(literal 20282409603651670423947251286016/40564819207303346393761349247529 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 -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))) #s(literal 4503599627370496/6369051672525773 binary64))
(*.f64 (pow.f64 #s(literal 4503599627370496/6369051672525773 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 4503599627370496/6369051672525773 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4503599627370496/6369051672525773 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64)) (pow.f64 #s(literal -6369051672525773/4503599627370496 binary64) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal -6369051672525773/4503599627370496 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -4503599627370496/6369051672525773 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))))
(*.f64 #s(literal -4503599627370496/6369051672525773 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))))
(*.f64 #s(literal -4503599627370496/6369051672525773 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))
(*.f64 (fma.f64 #s(literal -2251799813685248/6369051672525773 binary64) x #s(literal -6369051672525773/4503599627370496 binary64)) #s(literal -1 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 (*.f64 #s(literal -2251799813685248/6369051672525773 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64))) #s(literal 6369051672525773/4503599627370496 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64)) (pow.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))))
(*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))))
(*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 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 #s(literal -6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal -4503599627370496/6369051672525773 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2251799813685248/6369051672525773 binary64) x #s(literal -6369051672525773/4503599627370496 binary64)))
(*.f64 (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 4503599627370496/6369051672525773 binary64))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)))
(pow.f64 (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal -1 binary64)) #s(literal -6369051672525773/4503599627370496 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 1 binary64)) #s(literal -6369051672525773/4503599627370496 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -6369051672525773/4503599627370496 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -6369051672525773/4503599627370496 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 6369051672525773/4503599627370496 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64)) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 6369051672525773/4503599627370496 binary64))
(/.f64 (+.f64 #s(literal -258359429617980979649462394137437605196409064917/91343852333181432387730302044767688728495783936 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64))) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(/.f64 (+.f64 #s(literal 258359429617980979649462394137437605196409064917/91343852333181432387730302044767688728495783936 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64))) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 4503599627370496/6369051672525773 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 4503599627370496/6369051672525773 binary64)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))) #s(literal 6369051672525773/4503599627370496 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64) #s(literal -258359429617980979649462394137437605196409064917/91343852333181432387730302044767688728495783936 binary64)) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 258359429617980979649462394137437605196409064917/91343852333181432387730302044767688728495783936 binary64)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(/.f64 (+.f64 #s(literal -258359429617980979649462394137437605196409064917/91343852333181432387730302044767688728495783936 binary64) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(/.f64 (+.f64 #s(literal 258359429617980979649462394137437605196409064917/91343852333181432387730302044767688728495783936 binary64) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(/.f64 (-.f64 #s(literal 258359429617980979649462394137437605196409064917/91343852333181432387730302044767688728495783936 binary64) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(/.f64 (-.f64 #s(literal -258359429617980979649462394137437605196409064917/91343852333181432387730302044767688728495783936 binary64) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64)) #s(literal 258359429617980979649462394137437605196409064917/91343852333181432387730302044767688728495783936 binary64)) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64)) #s(literal -258359429617980979649462394137437605196409064917/91343852333181432387730302044767688728495783936 binary64)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)) #s(literal 0 binary64)))
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(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))
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(fma.f64 #s(literal 6369051672525773/4503599627370496 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) (*.f64 (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)) #s(literal 0 binary64)))
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(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)) (*.f64 (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)) #s(literal 0 binary64)))
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(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2251799813685248/6369051672525773 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 -4503599627370496/6369051672525773 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal -2251799813685248/6369051672525773 binary64) x))
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(fma.f64 (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) x) #s(literal 1/2 binary64) #s(literal 6369051672525773/4503599627370496 binary64))
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(-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64))
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(-.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal -2251799813685248/6369051672525773 binary64) x))
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#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal 4503599627370496/6369051672525773 binary64)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 4503599627370496/6369051672525773 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -6369051672525773/4503599627370496 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal 6369051672525773/4503599627370496 binary64))
(*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))))
(*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))
(*.f64 (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))))
(*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (/.f64 #s(literal 4503599627370496/6369051672525773 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))
(*.f64 #s(literal -6369051672525773/4503599627370496 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 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))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 6369051672525773/4503599627370496 binary64))
(/.f64 (*.f64 #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))) #s(literal 6369051672525773/4503599627370496 binary64))
(/.f64 (*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))) #s(literal 6369051672525773/4503599627370496 binary64))
(/.f64 #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 6369051672525773/4503599627370496 binary64)))
(/.f64 #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))))
(/.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 6369051672525773/4503599627370496 binary64)))
(/.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))
(/.f64 #s(literal -6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))
(/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)))
(neg.f64 (/.f64 #s(literal -6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 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 -40564819207303346393761349247529/20282409603651670423947251286016 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 -40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 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 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(-.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
(+.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))
#s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)

eval43.0ms (2.0%)

Memory
-30.1MiB live, 60.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 10 083 to 1 361 computations (86.5% saved)

prune10.0ms (0.5%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New3661367
Fresh022
Picked145
Done055
Total36712379
Accuracy
100.0%
Counts
379 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.9%
(*.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)))))
99.6%
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
66.4%
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
66.0%
(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))))))))
67.7%
(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))))
66.7%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64))))
67.7%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
65.6%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
66.0%
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64)))
67.6%
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (+.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 #s(literal -45671926166590716193865151022383844364247891968/258359429617980979649462394137437605196409064917 binary64) x)))))
66.0%
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64)))
71.9%
#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 251 to 190 computations (24.3% saved)

regimes35.0ms (1.6%)

Memory
14.2MiB live, 58.6MiB allocated; 7ms collecting garbage
Counts
17 → 1
21 → 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)))
(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 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #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)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (+.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 #s(literal -45671926166590716193865151022383844364247891968/258359429617980979649462394137437605196409064917 binary64) x)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 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 (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
(sqrt.f64 #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)))
(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 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #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)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (+.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 #s(literal -45671926166590716193865151022383844364247891968/258359429617980979649462394137437605196409064917 binary64) x)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 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 (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
(sqrt.f64 #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)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Outputs
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
Calls

6 calls:

8.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
6.0ms
x
5.0ms
x
4.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
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))))
Results
AccuracySegmentsBranch
71.9%1(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
71.9%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))))
71.9%1x
99.6%1(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
99.6%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))))
99.6%1x
Compiler

Compiled 468 to 159 computations (66.0% saved)

derivations33.0ms (1.5%)

Memory
-43.1MiB live, 9.4MiB allocated; 11ms collecting garbage
Stop Event
fuel
Compiler

Compiled 30 to 23 computations (23.3% saved)

preprocess13.0ms (0.6%)

Memory
19.2MiB live, 19.2MiB 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

Profiling

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