Rust f32::asinh

Time bar (total: 1.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.6%0.4%0%0%0%0
100%99.6%0%0.4%0%0%0%1
Compiler

Compiled 4 to 4 computations (0% saved)

sample440.0ms (26.5%)

Memory
37.0MiB live, 508.4MiB allocated; 115ms collecting garbage
Samples
296.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-asinh: 130.0ms (98.5% of total)
adjust: 1.0ms (0.8% of total)
Bogosity

preprocess6.0ms (0.3%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
Stop Event
saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 18 to 18 computations (0% saved)

series6.0ms (0.4%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
9 → 44
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
2.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
2.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)

rewrite238.0ms (14.3%)

Memory
-20.1MiB live, 253.4MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02261103
0237896
11372753
08240702
Stop Event
iter-limit
node-limit
iter-limit
Counts
53 → 119
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(copysign.f32 (asinh.f32 x) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(-.f32 (log.f32 (fma.f32 (*.f32 x x) x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(asinh.f32 x)
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))
(/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (fma.f32 (*.f32 x x) x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 (/.f32 (*.f32 (*.f32 x x) x) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
x
x
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(cosh.f32 (neg.f32 (asinh.f32 x)))
(cosh.f32 (asinh.f32 (neg.f32 x)))
(cosh.f32 (asinh.f32 x))
(*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x) #s(literal 1 binary32))) (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(-.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))))
(+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x)))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 x) x))
(fabs.f32 (*.f32 x (neg.f32 x)))
(fabs.f32 (*.f32 x x))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 x) #s(literal 2 binary32) #s(literal 0 binary32)))
(exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
#s(literal 1 binary32)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 30 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 45 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))) (*.f32 (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (fabs x) x)
#s(approx (fabs x) x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (+ (* x x) 1) #s(literal 1 binary32))
#s(approx (+ (* x x) 1) (fma.f32 x x #s(literal 1 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 x x) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x x)) #s(literal 1/2 binary32) (/.f32 x x)) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) (*.f32 (*.f32 x x) x)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x x)) #s(literal 1/2 binary32) (/.f32 x x))) (log.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (/.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (+ (* x x) 1) (*.f32 x x))
#s(approx (+ (* x x) 1) (fma.f32 x x #s(literal 1 binary32)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (neg.f32 (log.f32 (neg.f32 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (log.f32 (neg.f32 x))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 x)))) (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/2 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32))) x))) x)) (neg.f32 (neg.f32 (log.f32 (neg.f32 x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (/.f32 (neg.f32 x) x) #s(literal 1 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) x)) #s(literal 1 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x)) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))))

eval12.0ms (0.7%)

Memory
30.0MiB live, 30.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 307 to 661 computations (49.4% saved)

prune8.0ms (0.5%)

Memory
-30.0MiB live, 14.3MiB allocated; 7ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1076113
Fresh000
Picked101
Done000
Total1086114
Accuracy
100.0%
Counts
114 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
29.5%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
20.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))) x)
13.3%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
13.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
99.6%
(copysign.f32 (asinh.f32 x) x)
Compiler

Compiled 114 to 114 computations (0% saved)

series6.0ms (0.4%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Counts
20 → 58
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))
(+.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))
(fabs.f32 x)
#s(approx (sqrt (+ (* x x) 1)) x)
Outputs
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary32 x))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ 1 x) #s(hole binary32 1))
#s(approx (+ 1 x) #s(hole binary32 (+ 1 x)))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (+ 1 x) #s(hole binary32 x))
#s(approx (+ 1 x) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ 1 x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)))
1.0ms
x
@0
((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ 1 x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)))
1.0ms
x
@inf
((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ 1 x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)))

rewrite199.0ms (12%)

Memory
13.5MiB live, 208.5MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02981485
03121193
118231052
087071000
Stop Event
iter-limit
node-limit
iter-limit
Counts
78 → 110
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))
(+.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))
(fabs.f32 x)
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary32 x))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ 1 x) #s(hole binary32 1))
#s(approx (+ 1 x) #s(hole binary32 (+ 1 x)))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (+ 1 x) #s(hole binary32 x))
#s(approx (+ 1 x) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(copysign.f32 (asinh.f32 x) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 x))))
(-.f32 (log.f32 (-.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (*.f32 x x) (neg.f32 x)))) (log.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 x))))))
(-.f32 (log.f32 (fma.f32 (*.f32 x x) x (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(asinh.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)
(*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(/.f32 (fma.f32 (*.f32 x x) x (pow.f32 (*.f32 x (/.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (*.f32 x (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal 1 binary32) x))) (*.f32 x (*.f32 x (/.f32 #s(literal 1 binary32) x))))))
(/.f32 (fma.f32 (*.f32 x x) x #s(literal 1 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) x)))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) x))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (neg.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) x)))
(pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) x))) (/.f32 (*.f32 (*.f32 x x) x) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) x))))
(+.f32 #s(literal 1 binary32) x)
(+.f32 x (*.f32 x (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))
(-.f32 (log.f32 (fma.f32 (*.f32 x x) x (*.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x)))) (log.f32 (fma.f32 x x (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(/.f32 (fma.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x) (*.f32 (*.f32 x x) x)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)))) (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) x (*.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x)))) (neg.f32 (fma.f32 x x (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(/.f32 (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))
(/.f32 (fma.f32 (*.f32 x x) x (*.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x))) (fma.f32 x x (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x))) (/.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))
(+.f32 (/.f32 (*.f32 (*.f32 x x) x) (fma.f32 x x (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))) (/.f32 (*.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x)) (fma.f32 x x (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) x))
x
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 3/40 binary32) (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (fabs x) x)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 30 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 45 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))) (*.f32 (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (neg x) (neg.f32 x))
#s(approx (+ 1 x) #s(literal 1 binary32))
#s(approx (+ 1 x) (+.f32 #s(literal 1 binary32) x))
#s(approx (fabs x) x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 x #s(literal 2 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 (*.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (*.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (*.f32 x #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 x x) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x x)) #s(literal 1/2 binary32) (/.f32 x x)) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) (*.f32 (*.f32 x x) x)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x x)) #s(literal 1/2 binary32) (/.f32 x x))) (log.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (/.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (+.f32 #s(literal 1 binary32) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 5/96 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (neg.f32 (log.f32 (neg.f32 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (log.f32 (neg.f32 x))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 x)))) (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/2 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32))) x))) x)) (neg.f32 (neg.f32 (log.f32 (neg.f32 x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (/.f32 (neg.f32 x) x) #s(literal 1 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) x)) #s(literal 1 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x)) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))))

eval23.0ms (1.4%)

Memory
-50.3MiB live, 18.2MiB allocated; 10ms collecting garbage
Compiler

Compiled 1 318 to 521 computations (60.5% saved)

prune3.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New92294
Fresh011
Picked235
Done000
Total946100
Accuracy
100.0%
Counts
100 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
26.7%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
13.3%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
13.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
99.6%
(copysign.f32 (asinh.f32 x) x)
55.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
Compiler

Compiled 54 to 54 computations (0% saved)

series4.0ms (0.2%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Counts
13 → 66
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
x
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
(fabs.f32 x)
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(neg.f32 x)
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (neg x))
1.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (neg x))
1.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (neg x))

rewrite181.0ms (10.9%)

Memory
24.0MiB live, 252.9MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03281751
03381397
120611177
0100371116
Stop Event
iter-limit
node-limit
iter-limit
Counts
79 → 101
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
x
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
(fabs.f32 x)
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(neg.f32 x)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
Outputs
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) x) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) x)
x
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(-.f32 (log.f32 (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)))
(-.f32 (log.f32 (fma.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x) (*.f32 (*.f32 x x) x))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)))))
(/.f32 (fma.f32 (*.f32 x x) x (*.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x))) (fma.f32 x x (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f32 x x))) (neg.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)))
(/.f32 (neg.f32 (fma.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x) (*.f32 (*.f32 x x) x))) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)))))
(/.f32 (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f32 x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(/.f32 (fma.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x) (*.f32 (*.f32 x x) x)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))))
(-.f32 (/.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)))
(+.f32 (/.f32 (*.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)))) (/.f32 (*.f32 (*.f32 x x) x) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))
(-.f32 (log.f32 (fma.f32 (*.f32 x x) x (*.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))) (log.f32 (fma.f32 x x (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))))
(/.f32 (fma.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (*.f32 (*.f32 x x) x)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) x))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))) (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) x (*.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))) (neg.f32 (fma.f32 x x (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))))
(/.f32 (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(/.f32 (fma.f32 (*.f32 x x) x (*.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) (fma.f32 x x (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) (/.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))
(+.f32 (/.f32 (*.f32 (*.f32 x x) x) (fma.f32 x x (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))) (/.f32 (*.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) (fma.f32 x x (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) x)
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
x
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (+.f32 #s(literal 1 binary32) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 30 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 45 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))) (*.f32 (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (fabs x) x)
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 (fma.f32 (fma.f32 #s(literal 3/40 binary32) (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(literal 1 binary32))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (+.f32 #s(literal 1 binary32) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) x #s(literal 1 binary32)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (+.f32 #s(literal 1 binary32) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (+.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (+.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (+.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (fabs x) x)
#s(approx (neg x) (neg.f32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (/.f32 x x) (log.f32 x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x x)) #s(literal 1/2 binary32) (/.f32 x x)) (log.f32 x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) (*.f32 (*.f32 x x) x)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x x)) #s(literal 1/2 binary32) (/.f32 x x))) (log.f32 x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (+.f32 x x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (+.f32 x x)) (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (+.f32 x x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) x)
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (+.f32 (/.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 x x)) #s(literal 1 binary32)) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (neg.f32 (neg.f32 (log.f32 (neg.f32 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (/.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (log.f32 (neg.f32 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 x)))) (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) x) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/2 binary32))) x))) x)) (neg.f32 (neg.f32 (log.f32 (neg.f32 x))))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 5/96 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 5/128 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (*.f32 (+.f32 (/.f32 (neg.f32 x) x) #s(literal 1 binary32)) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) x)) #s(literal 1 binary32)) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (neg.f32 x) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x)) #s(literal 1 binary32))))

eval26.0ms (1.6%)

Memory
-29.4MiB live, 17.8MiB allocated; 1ms collecting garbage
Compiler

Compiled 1 576 to 503 computations (68.1% saved)

prune3.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New92193
Fresh000
Picked123
Done033
Total93699
Accuracy
100.0%
Counts
99 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
26.3%
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))) x)
13.3%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
13.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
99.6%
(copysign.f32 (asinh.f32 x) x)
55.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
Compiler

Compiled 54 to 54 computations (0% saved)

series3.0ms (0.2%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Counts
6 → 28
Calls
Call 1
Inputs
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
x
Outputs
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (/ -1/2 x) #s(hole binary32 (/ -1/2 x)))
#s(approx x #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (/ -1/2 x) -1/2 x)
1.0ms
x
@inf
((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (/ -1/2 x) -1/2 x)
1.0ms
x
@0
((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (/ -1/2 x) -1/2 x)

rewrite176.0ms (10.6%)

Memory
2.9MiB live, 233.9MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148675
0150533
1903454
08297432
Stop Event
iter-limit
node-limit
iter-limit
Counts
34 → 38
Calls
Call 1
Inputs
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
x
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (/ -1/2 x) #s(hole binary32 (/ -1/2 x)))
#s(approx x #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
Outputs
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))
(*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1/2 binary32) (neg.f32 x))
(/.f32 #s(literal -1/2 binary32) x)
(neg.f32 (/.f32 #s(literal 1/2 binary32) x))
#s(literal -1/2 binary32)
x
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 (fma.f32 (fma.f32 #s(literal 3/40 binary32) (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(literal 1 binary32))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (-.f32 x #s(literal -1 binary32)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) x #s(literal 1 binary32)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x #s(literal 1 binary32)))
#s(approx (/ -1/2 x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx x x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (+.f32 x x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 (+.f32 x x))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (+.f32 x x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (-.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x))) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal -1/2 binary32))) x))

eval3.0ms (0.2%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 382 to 177 computations (53.7% saved)

prune3.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New30131
Fresh000
Picked011
Done055
Total30737
Accuracy
100.0%
Counts
37 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
26.3%
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))) x)
20.5%
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (-.f32 x #s(literal -1 binary32)))) x)
13.3%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
13.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
99.6%
(copysign.f32 (asinh.f32 x) x)
55.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
Compiler

Compiled 151 to 118 computations (21.9% saved)

regimes10.0ms (0.6%)

Memory
-38.5MiB live, 17.9MiB allocated; 6ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (-.f32 x #s(literal -1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(copysign.f32 (asinh.f32 x) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Outputs
(copysign.f32 (asinh.f32 x) x)
Calls

2 calls:

6.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
3.0ms
x
Results
AccuracySegmentsBranch
99.6%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
99.6%1x
Compiler

Compiled 10 to 10 computations (0% saved)

regimes5.0ms (0.3%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (-.f32 x #s(literal -1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
Outputs
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
83.9%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
83.9%3x
Compiler

Compiled 10 to 10 computations (0% saved)

regimes4.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (-.f32 x #s(literal -1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))) x)
Outputs
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (-.f32 x #s(literal -1 binary32)))) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
70.8%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
70.8%3x
Compiler

Compiled 10 to 10 computations (0% saved)

regimes3.0ms (0.2%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
Outputs
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
Calls

2 calls:

1.0ms
x
1.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
70.7%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
70.7%3x
Compiler

Compiled 10 to 10 computations (0% saved)

regimes5.0ms (0.3%)

Memory
-36.5MiB live, 8.9MiB allocated; 2ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
Calls

2 calls:

3.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
1.0ms
x
Results
AccuracySegmentsBranch
63.3%2(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
63.3%2x
Compiler

Compiled 10 to 10 computations (0% saved)

regimes2.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x)
Calls

2 calls:

1.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
1.0ms
x
Results
AccuracySegmentsBranch
55.0%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
55.0%1x
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0066354842856526375
2.783283233642578
0.0ms
-3.8336873054504395
-1.9926000833511353
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0066354842856526375
2.783283233642578
0.0ms
-3.8336873054504395
-1.9926000833511353
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.783283233642578
4.135584354400635
0.0ms
-3.8336873054504395
-1.9926000833511353
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
2.783283233642578
4.135584354400635
Compiler

Compiled 15 to 11 computations (26.7% saved)

derivations241.0ms (14.5%)

Memory
-36.7MiB live, 228.3MiB allocated; 79ms collecting garbage
Stop Event
fuel
Compiler

Compiled 66 to 41 computations (37.9% saved)

preprocess48.0ms (2.9%)

Memory
32.4MiB live, 128.0MiB allocated; 9ms collecting garbage
Compiler

Compiled 91 to 60 computations (34.1% saved)

end0.0ms (0%)

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

Profiling

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