sqrtexp (problem 3.4.4)

Time bar (total: 2.5s)

start0.0ms (0.0%)

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

analyze2.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB 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 (45.0%)

Memory
22.5MiB live, 842.1MiB allocated; 792ms collecting garbage
Samples
698.0ms8 256×0valid
134.0ms2 631×0exit
Precisions
Click to see histograms. Total time spent on operations: 625.0ms
ival-expm1: 425.0ms (68.0% of total)
ival-sqrt: 74.0ms (11.8% of total)
ival-div!: 71.0ms (11.4% of total)
ival-mult!: 53.0ms (8.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess41.0ms (1.7%)

Memory
30.9MiB live, 30.9MiB allocated; 0ms 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
32.7%
(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)

series17.0ms (0.7%)

Memory
-31.1MiB live, 14.7MiB allocated; 5ms 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

rewrite173.0ms (7.0%)

Memory
19.7MiB live, 161.9MiB allocated; 14ms 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)))
(expm1.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(expm1.f64 (neg.f64 (neg.f64 x)))
(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)))
(-.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 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (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 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.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 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (neg.f64 (sinh.f64 (neg.f64 x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (*.f64 x #s(literal -1 binary64))))
(-.f64 (cosh.f64 x) (sinh.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (neg.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (sinh.f64 x))

eval69.0ms (2.8%)

Memory
-10.1MiB live, 83.3MiB allocated; 14ms collecting garbage
Compiler

Compiled 15 031 to 3 166 computations (78.9% saved)

prune13.0ms (0.5%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New73010740
Fresh000
Picked101
Done000
Total73110741
Accuracy
100.0%
Counts
741 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.7%
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
4.6%
(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))))
99.2%
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
35.2%
(sqrt.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
99.1%
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x x))))
69.1%
(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))))))))
70.2%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
68.5%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
74.1%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
98.2%
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1/2 binary64)))
Compiler

Compiled 290 to 230 computations (20.7% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
1
1/2
Outputs
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

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

series22.0ms (0.9%)

Memory
-26.2MiB live, 20.1MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02521105
Stop Event
iter-limit
Counts
28 → 56
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) (*.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)
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(sqrt.f64 (expm1.f64 (+.f64 x x)))
(sqrt.f64 (expm1.f64 x))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.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)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 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 (* 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)) (sqrt (- (exp x) 1))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/12 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/12 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt (- (exp (+ x x)) 1)) (+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (sqrt (- (exp x) 1)) (sqrt.f64 x))
#s(approx (sqrt (- (exp x) 1)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))
#s(approx (sqrt (- (exp x) 1)) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (/.f64 x (sqrt.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (- (exp x) 1)) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (sqrt.f64 x)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ 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)) (sqrt (- (exp x) 1))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (expm1.f64 x))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (sqrt.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (- (exp x) 1)) (sqrt.f64 (expm1.f64 x)))
#s(approx (exp (* 2 x)) (exp.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 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 (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (/.f64 (sqrt.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))) (sqrt.f64 (expm1.f64 x))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (sqrt.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))
Calls

3 calls:

TimeVariablePoint
4.0ms
x
inf
3.0ms
x
-inf
2.0ms
x
0

rewrite138.0ms (5.5%)

Memory
9.3MiB live, 149.6MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034192
056177
1281177
2956177
04172169
Stop Event
iter-limit
node-limit
iter-limit
Counts
28 → 863
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) (*.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)
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(sqrt.f64 (expm1.f64 (+.f64 x x)))
(sqrt.f64 (expm1.f64 x))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.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)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 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)) (sqrt.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.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))) (expm1.f64 x))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.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)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(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 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x)))) (expm1.f64 (+.f64 x 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)))
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(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(-.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 (neg.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))))
(+.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))
(+.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval93.0ms (3.7%)

Memory
31.4MiB live, 119.8MiB allocated; 17ms collecting garbage
Compiler

Compiled 20 622 to 3 460 computations (83.2% saved)

prune22.0ms (0.9%)

Memory
-19.3MiB live, 27.5MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New9208928
Fresh415
Picked235
Done000
Total92612938
Accuracy
100.0%
Counts
938 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.7%
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
34.9%
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) #s(approx (sqrt (- (exp x) 1)) (sqrt.f64 x)))
73.0%
(*.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)))))
99.2%
(sqrt.f64 (/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x)) (expm1.f64 x)))
99.2%
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
99.1%
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x x))))
69.1%
(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))))))))
68.5%
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
70.2%
(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))))
70.2%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64)))))
74.1%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
69.2%
(exp.f64 (*.f64 (log.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(literal 1/2 binary64)))
Compiler

Compiled 375 to 271 computations (27.7% saved)

sample0.0ms (0.0%)

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

Compiled 6 to 6 computations (0.0% saved)

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

series17.0ms (0.7%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02881216
Stop Event
iter-limit
Counts
27 → 62
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x)) (expm1.f64 x))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
(expm1.f64 x)
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(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 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) #s(approx (sqrt (- (exp x) 1)) (sqrt.f64 x)))
(sqrt.f64 (expm1.f64 (+.f64 x x)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
#s(approx (sqrt (- (exp x) 1)) (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
Outputs
#s(approx (sqrt (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (* (- (exp x) -1) (- (exp 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) -1) (- (exp 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) -1) (- (exp 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) -1) (- (exp x) 1)) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (* (- (exp x) -1) (- (exp 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) -1) (- (exp 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) -1) (- (exp x) 1)) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (- (exp x) -1) (- (exp x) 1)) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
#s(approx (* (- (exp x) -1) (- (exp 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) -1) (- (exp x) 1)) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) x))))))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (- (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) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/12 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/12 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt (- (exp (+ x x)) 1)) (+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (sqrt (- (exp x) 1)) (sqrt.f64 x))
#s(approx (sqrt (- (exp x) 1)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))
#s(approx (sqrt (- (exp x) 1)) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (/.f64 x (sqrt.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (- (exp x) 1)) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (sqrt.f64 x)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)))) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) x))
#s(approx (sqrt (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (* (- (exp x) -1) (- (exp x) 1)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
#s(approx (+ 2 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* 1/2 x) 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 (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (expm1.f64 x))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (sqrt.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt (- (exp x) 1)) (sqrt.f64 (expm1.f64 x)))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x)))
#s(approx (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (- (exp x) 1))) (/.f64 (sqrt.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))) (sqrt.f64 (expm1.f64 x))))
#s(approx (sqrt (- (exp (+ x x)) 1)) (sqrt.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

TimeVariablePoint
3.0ms
x
-inf
3.0ms
x
inf
1.0ms
x
0

rewrite167.0ms (6.7%)

Memory
-27.8MiB live, 180.6MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038168
062169
1277143
2884143
04254135
Stop Event
iter-limit
node-limit
iter-limit
Counts
27 → 1 133
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x)) (expm1.f64 x))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
(expm1.f64 x)
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(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 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) #s(approx (sqrt (- (exp x) 1)) (sqrt.f64 x)))
(sqrt.f64 (expm1.f64 (+.f64 x x)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
#s(approx (sqrt (- (exp x) 1)) (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
Outputs
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 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 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1 binary64)))
(*.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)) (sqrt.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (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 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) #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 (fma.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 (exp.f64 (+.f64 x x)) (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal -1 binary64)))) (expm1.f64 x))
(/.f64 (sqrt.f64 (fma.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 (+.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 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (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 (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (fma.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (fma.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (expm1.f64 x) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x)))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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 (-.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 (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 (neg.f64 (expm1.f64 x)) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) (fma.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) (fma.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (expm1.f64 x)) (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x)))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x)))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 (+.f64 x x))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (*.f64 (expm1.f64 x) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x) #s(literal -1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (*.f64 (expm1.f64 x) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (*.f64 (expm1.f64 x) (fma.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal -1 binary64)))) (*.f64 (expm1.f64 x) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (*.f64 (expm1.f64 x) (fma.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 1 binary64)))) (*.f64 (expm1.f64 x) (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x)))))
(/.f64 (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (+.f64 x x)))) (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))
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(+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (exp.f64 x) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (expm1.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 x) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (expm1.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 x) (expm1.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (/.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (expm1.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (expm1.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))

eval97.0ms (3.9%)

Memory
12.0MiB live, 151.6MiB allocated; 19ms collecting garbage
Compiler

Compiled 17 918 to 3 375 computations (81.2% saved)

prune21.0ms (0.8%)

Memory
-1.4MiB live, 42.0MiB allocated; 5ms collecting garbage
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New8565861
Fresh134
Picked325
Done123
Total86112873
Accuracy
100.0%
Counts
873 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.5%
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
73.0%
(*.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)))))
99.2%
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
68.5%
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
69.1%
(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))))))))
68.5%
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
70.2%
(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))))
70.2%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64)))))
69.3%
(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))))
74.1%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
100.0%
(sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
67.5%
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
Compiler

Compiled 448 to 294 computations (34.4% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1
2
-2
1/2
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 7 computations (0.0% saved)

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

series92.0ms (3.7%)

Memory
-8.4MiB live, 128.6MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02141164
Stop Event
iter-limit
Counts
26 → 46
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.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)
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (log.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(log.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
#s(literal 1/2 binary64)
Outputs
#s(approx (sqrt (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (* (- (exp x) -1) (- (exp 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) -1) (- (exp 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) -1) (- (exp 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) -1) (- (exp x) 1)) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (* (- (exp x) -1) (- (exp 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) -1) (- (exp 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) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (* (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 (* (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) 1/2) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (* (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) 1/2) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
#s(approx (* (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) x)))))
#s(approx (* (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/384 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
#s(approx (- (- x -1) -1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (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 (* (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) 1/2) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (log.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x)))
#s(approx (* (sqrt (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))))) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x)))) #s(literal 2 binary64)))
#s(approx (sqrt (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x)))))
#s(approx (* (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) 1/2) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x)))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (log.f64 (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x))))
Calls

3 calls:

TimeVariablePoint
43.0ms
x
inf
33.0ms
x
-inf
3.0ms
x
0

rewrite186.0ms (7.5%)

Memory
27.3MiB live, 219.7MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039306
056261
1278179
2953179
04071179
Stop Event
iter-limit
node-limit
iter-limit
Counts
26 → 890
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.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)
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (log.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(log.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
#s(literal 1/2 binary64)
Outputs
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(*.f64 (pow.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(fabs.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(pow.f64 (*.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(sqrt.f64 (*.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(fabs.f64 (*.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(fabs.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (+.f64 #s(literal 1 binary64) (cosh.f64 x)))) (+.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 x) #s(literal -1 binary64)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (exp.f64 x))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 x) (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 x))) (neg.f64 (expm1.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) (expm1.f64 x)) (expm1.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (+.f64 #s(literal 1 binary64) (cosh.f64 x))) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x)))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (-.f64 (sinh.f64 x) #s(literal -1 binary64)) (-.f64 (sinh.f64 x) #s(literal -1 binary64)))) (-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (expm1.f64 x))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (-.f64 (sinh.f64 x) #s(literal -1 binary64)) (-.f64 (sinh.f64 x) #s(literal -1 binary64))) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (expm1.f64 x))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (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 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64)))) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))) (sinh.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (sinh.f64 x) (-.f64 #s(literal -1 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) #s(literal -1 binary64))))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 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 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.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))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
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(exp.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
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(+.f64 (*.f64 (+.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))
(*.f64 (log.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 (log.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))
(*.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(+.f64 (log.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))) (log.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))) (log.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (log.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))
(log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))) (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(*.f64 #s(literal 4 binary64) (log.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))
(*.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(*.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (*.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))) (-.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (*.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(fma.f64 (log.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(-.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal -1/2 binary64) (log.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(-.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (*.f64 (neg.f64 (log.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
(-.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (neg.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))
(+.f64 (log.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))) (log.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))) (log.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (log.f64 (neg.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))
(+.f64 (log.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (log.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (log.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))) (log.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))) (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(log.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
#s(literal 1/2 binary64)

eval86.0ms (3.4%)

Memory
-26.7MiB live, 122.5MiB allocated; 33ms collecting garbage
Compiler

Compiled 30 959 to 1 898 computations (93.9% saved)

prune11.0ms (0.5%)

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

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New5201521
Fresh033
Picked235
Done044
Total52211533
Accuracy
100.0%
Counts
533 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.0%
(*.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)))))
99.2%
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
68.5%
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
68.6%
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64))))
69.1%
(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))))))))
68.5%
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
70.2%
(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))))
70.2%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64)))))
69.3%
(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))))
74.1%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
100.0%
(sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
Compiler

Compiled 221 to 157 computations (29.0% saved)

regimes49.0ms (2.0%)

Memory
-39.1MiB live, 53.5MiB allocated; 4ms collecting garbage
Counts
10 → 1
25 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 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))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64))))
Outputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
Call 2
Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 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))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64))))
(sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) #s(approx (sqrt (- (exp x) 1)) (sqrt.f64 x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))))
(sqrt.f64 #s(approx (/ (- (exp (+ 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))))))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x 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))))
(exp.f64 (*.f64 (log.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(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x)) (expm1.f64 x)))
(sqrt.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1/2 binary64)))
Outputs
(sqrt.f64 #s(approx (/ (* (- (exp x) -1) (- (exp x) 1)) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
Calls

6 calls:

7.0ms
x
5.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
5.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
74.1%1(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
74.1%1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
74.1%1x
100.0%1(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
100.0%1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
100.0%1x
Compiler

Compiled 506 to 165 computations (67.4% saved)

derivations36.0ms (1.5%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 34 to 21 computations (38.2% saved)

preprocess17.0ms (0.7%)

Memory
-24.9MiB live, 27.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 46 to 31 computations (32.6% saved)

end0.0ms (0.0%)

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

Profiling

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