Rust f64::asinh

Time bar (total: 2.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 4 to 4 computations (0% saved)

sample460.0ms (23.1%)

Memory
31.6MiB live, 664.0MiB allocated; 191ms collecting garbage
Samples
297.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-asinh: 86.0ms (98.1% of total)
adjust: 1.0ms (1.1% of total)
Bogosity

preprocess48.0ms (2.4%)

Memory
-5.7MiB live, 47.1MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1167
2447
3997
42167
59447
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Symmetry

(negabs x)

Compiler

Compiled 18 to 18 computations (0% saved)

series6.0ms (0.3%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
9 → 39
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* 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 binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -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)

rewrite160.0ms (8.1%)

Memory
15.6MiB live, 246.1MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211058
0231865
11336725
08449678
Stop Event
iter-limit
node-limit
iter-limit
Counts
48 → 106
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* 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 binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(copysign.f64 (asinh.f64 x) x)
(asinh.f64 x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
x
x
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 30 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 45 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal 1 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)))
#s(approx (fabs x) x)
#s(approx (fabs x) x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 x x) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 x x)) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 x x))) (log.f64 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x x)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (+ (* x x) 1) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (neg.f64 x) x) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x) #s(literal -1/2 binary64) x) x)) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) x)) x) #s(literal -1/6 binary64) (*.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) x)) x) x)) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 x) x) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x) x)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))

eval18.0ms (0.9%)

Memory
-10.6MiB live, 32.7MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 223 to 606 computations (50.4% saved)

prune5.0ms (0.3%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New947101
Fresh000
Picked101
Done000
Total957102
Accuracy
100.0%
Counts
102 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
1.7%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))) x)
20.2%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))) x)
55.8%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x))) x)
0.0%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))) x)
99.8%
(copysign.f64 (asinh.f64 x) x)
19.5%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
Compiler

Compiled 152 to 152 computations (0% saved)

series69.0ms (3.5%)

Memory
-6.0MiB live, 109.1MiB allocated; 37ms collecting garbage
Counts
21 → 45
Calls
Call 1
Inputs
(copysign.f64 (asinh.f64 x) x)
(asinh.f64 x)
x
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
(log.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))
(neg.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x)
(+.f64 (/.f64 x x) #s(literal 1 binary64))
(/.f64 x x)
Outputs
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 (log x) #s(hole binary64 (log x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (* (+ (/ x x) 1) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (/ x x) 1) #s(hole binary64 2))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
Calls

3 calls:

TimeVariablePointExpression
33.0ms
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)))) (log x) (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))) (* (+ (/ x x) 1) x) (+ (/ x x) 1) (/ x x))
28.0ms
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)))) (log x) (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))) (* (+ (/ x x) 1) x) (+ (/ x x) 1) (/ x x))
7.0ms
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)))) (log x) (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))) (* (+ (/ x x) 1) x) (+ (/ x x) 1) (/ x x))

rewrite184.0ms (9.3%)

Memory
11.0MiB live, 239.7MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02781259
02931001
11633840
09532805
Stop Event
iter-limit
node-limit
iter-limit
Counts
66 → 95
Calls
Call 1
Inputs
(copysign.f64 (asinh.f64 x) x)
(asinh.f64 x)
x
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
(log.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))
(neg.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x)
(+.f64 (/.f64 x x) #s(literal 1 binary64))
(/.f64 x x)
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 (log x) #s(hole binary64 (log x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (* (+ (/ x x) 1) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (/ x x) 1) #s(hole binary64 2))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
Outputs
(copysign.f64 (asinh.f64 x) x)
(asinh.f64 x)
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))))
(-.f64 (log.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (neg.f64 x)))) (log.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
x
(copysign.f64 #s(approx (asinh x) (log.f64 x)) x)
#s(approx (asinh x) (log.f64 x))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) x)
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (asinh x) x)
#s(approx (asinh x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (asinh x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (asinh x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (asinh x) (log.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (asinh x) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (asinh x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (asinh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 30 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 45 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (log x) (log.f64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal 1 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (* (+ (/ x x) 1) x) (+.f64 x x))
#s(approx (+ (/ x x) 1) #s(literal 2 binary64))
#s(approx (asinh x) (log.f64 (+.f64 x x)))
#s(approx (asinh x) (+.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (+.f64 x x)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (asinh x) (log.f64 x))
#s(approx (asinh x) (+.f64 (log.f64 x) #s(literal 1 binary64)))
#s(approx (asinh x) (+.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
#s(approx (asinh x) (+.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (asinh x) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (asinh x) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (asinh x) (-.f64 (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
#s(approx (asinh x) (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))))
#s(approx (asinh x) (-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 1 binary64)))
#s(approx (asinh x) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x) #s(literal -1/2 binary64) x) x)) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))))
#s(approx (asinh x) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) x)) x) #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x x))))) x)) x) x)) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))))
#s(approx (log x) (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))))

eval8.0ms (0.4%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 768 to 427 computations (44.4% saved)

prune9.0ms (0.4%)

Memory
-39.1MiB live, 7.4MiB allocated; 4ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New72375
Fresh202
Picked235
Done000
Total76682
Accuracy
100.0%
Counts
82 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
0.0%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))) x)
99.8%
(copysign.f64 (asinh.f64 x) x)
19.5%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
0.0%
(copysign.f64 #s(approx (asinh x) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) x)
48.0%
(copysign.f64 #s(approx (asinh x) x) x)
Compiler

Compiled 49 to 49 computations (0% saved)

series56.0ms (2.8%)

Memory
-2.3MiB live, 96.5MiB allocated; 16ms collecting garbage
Counts
14 → 43
Calls
Call 1
Inputs
(copysign.f64 #s(approx (asinh x) x) x)
#s(approx (asinh x) x)
x
(copysign.f64 #s(approx (asinh x) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) x)
#s(approx (asinh x) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
Outputs
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (log (* (/ -1 x) 1/2)) #s(hole binary64 (+ (log -1/2) (* -1 (log x)))))
#s(approx (* (/ -1 x) 1/2) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ -1 x) #s(hole binary64 (/ -1 x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 (* (/ -1 x) 1/2)) #s(hole binary64 (+ (log -1/2) (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
Calls

3 calls:

TimeVariablePointExpression
32.0ms
x
@-inf
((copysign (asinh x) x) (asinh x) x (copysign (asinh x) x) (asinh x) (log (* (/ -1 x) 1/2)) (* (/ -1 x) 1/2) (/ -1 x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ x x))
12.0ms
x
@0
((copysign (asinh x) x) (asinh x) x (copysign (asinh x) x) (asinh x) (log (* (/ -1 x) 1/2)) (* (/ -1 x) 1/2) (/ -1 x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ x x))
11.0ms
x
@inf
((copysign (asinh x) x) (asinh x) x (copysign (asinh x) x) (asinh x) (log (* (/ -1 x) 1/2)) (* (/ -1 x) 1/2) (/ -1 x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ x x))

rewrite174.0ms (8.7%)

Memory
30.8MiB live, 216.7MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02661156
0276938
11599806
08850771
Stop Event
iter-limit
node-limit
iter-limit
Counts
57 → 101
Calls
Call 1
Inputs
(copysign.f64 #s(approx (asinh x) x) x)
#s(approx (asinh x) x)
x
(copysign.f64 #s(approx (asinh x) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) x)
#s(approx (asinh x) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (log (* (/ -1 x) 1/2)) #s(hole binary64 (+ (log -1/2) (* -1 (log x)))))
#s(approx (* (/ -1 x) 1/2) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ -1 x) #s(hole binary64 (/ -1 x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 (* (/ -1 x) 1/2)) #s(hole binary64 (+ (log -1/2) (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
Outputs
(copysign.f64 #s(approx (asinh x) x) x)
#s(approx (asinh x) x)
x
(copysign.f64 #s(approx (asinh x) (log.f64 (/.f64 #s(literal -1/2 binary64) x))) x)
#s(approx (asinh x) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (*.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))))) (neg.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64))) (*.f64 (log.f64 x) (log.f64 x)))) (neg.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 x)))))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64))) (*.f64 (log.f64 x) (log.f64 x))) (log.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))) (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (/.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))) (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(-.f64 (/.f64 (*.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (pow.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 x)))))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 x x)
#s(approx (copysign (asinh x) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (asinh x) x)
#s(approx (asinh x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (asinh x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (asinh x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (log (* (/ -1 x) 1/2)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (* (/ -1 x) 1/2) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x))
#s(approx (copysign (asinh x) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (asinh x) (log.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (asinh x) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (asinh x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (asinh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 30 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 45 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (asinh x) (log.f64 (+.f64 x x)))
#s(approx (asinh x) (+.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (+.f64 x x)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (log (* (/ -1 x) 1/2)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (asinh x) (log.f64 x))
#s(approx (asinh x) (+.f64 (/.f64 x x) (log.f64 x)))
#s(approx (asinh x) (+.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 x x)) (log.f64 x)))
#s(approx (asinh x) (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 x x))) (log.f64 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 x x)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (copysign (asinh x) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (asinh x) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (asinh x) (-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (asinh x) (-.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
#s(approx (asinh x) (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))))
#s(approx (asinh x) (+.f64 (/.f64 (neg.f64 x) x) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))))
#s(approx (asinh x) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x) #s(literal -1/2 binary64) x) x)) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))))
#s(approx (asinh x) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) x)) x) #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x x))))) x)) x) x)) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 x) x) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x) x)) #s(literal 1 binary64))))

eval13.0ms (0.7%)

Memory
-20.7MiB live, 23.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 025 to 480 computations (53.2% saved)

prune3.0ms (0.1%)

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

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New83184
Fresh000
Picked123
Done033
Total84690
Accuracy
100.0%
Counts
90 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
0.0%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))) x)
99.8%
(copysign.f64 (asinh.f64 x) x)
19.5%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
0.0%
(copysign.f64 #s(approx (asinh x) (log.f64 (/.f64 #s(literal -1/2 binary64) x))) x)
48.0%
(copysign.f64 #s(approx (asinh x) x) x)
Compiler

Compiled 47 to 47 computations (0% saved)

series23.0ms (1.2%)

Memory
15.3MiB live, 61.5MiB allocated; 5ms collecting garbage
Counts
6 → 17
Calls
Call 1
Inputs
(copysign.f64 #s(approx (asinh x) (log.f64 (/.f64 #s(literal -1/2 binary64) x))) x)
#s(approx (asinh x) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
Outputs
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (log (/ -1/2 x)) #s(hole binary64 (+ (log -1/2) (* -1 (log x)))))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 (/ -1/2 x)) #s(hole binary64 (+ (log -1/2) (log (/ 1 x)))))
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((copysign (asinh x) x) (asinh x) (log (/ -1/2 x)) (/ -1/2 x) -1/2 x)
7.0ms
x
@0
((copysign (asinh x) x) (asinh x) (log (/ -1/2 x)) (/ -1/2 x) -1/2 x)
7.0ms
x
@-inf
((copysign (asinh x) x) (asinh x) (log (/ -1/2 x)) (/ -1/2 x) -1/2 x)

rewrite149.0ms (7.5%)

Memory
-26.6MiB live, 170.3MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098324
0101276
1530248
04820238
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
23 → 63
Calls
Call 1
Inputs
(copysign.f64 #s(approx (asinh x) (log.f64 (/.f64 #s(literal -1/2 binary64) x))) x)
#s(approx (asinh x) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (log (/ -1/2 x)) #s(hole binary64 (+ (log -1/2) (* -1 (log x)))))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 (/ -1/2 x)) #s(hole binary64 (+ (log -1/2) (log (/ 1 x)))))
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
Outputs
(copysign.f64 #s(approx (asinh x) (log.f64 (/.f64 #s(literal -1/2 binary64) x))) x)
#s(approx (asinh x) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64)))) (-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (neg.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (log.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (log.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (*.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -1/2 binary64))))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64) (log.f64 #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))
(-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 0 binary64)) (log.f64 x))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal -1 binary64))) (log.f64 x))
(-.f64 (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (/.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))) (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(-.f64 (/.f64 (*.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))))) (/.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1/2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -1/2 binary64)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal -1/2 binary64) x)
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
#s(literal -1/2 binary64)
x
#s(approx (copysign (asinh x) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (asinh x) x)
#s(approx (asinh x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (asinh x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (asinh x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (log (/ -1/2 x)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (asinh x) (log.f64 (*.f64 x #s(literal 2 binary64))))
#s(approx (asinh x) (-.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (asinh x) (-.f64 (-.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
#s(approx (asinh x) (-.f64 (-.f64 (-.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
#s(approx (log (/ -1/2 x)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (copysign (asinh x) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (asinh x) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (asinh x) (-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (asinh x) (+.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))

eval5.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 619 to 282 computations (54.4% saved)

prune4.0ms (0.2%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New53053
Fresh000
Picked011
Done055
Total53659
Accuracy
100.0%
Counts
59 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
0.0%
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))) x)
99.8%
(copysign.f64 (asinh.f64 x) x)
19.5%
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
0.0%
(copysign.f64 #s(approx (asinh x) (log.f64 (/.f64 #s(literal -1/2 binary64) x))) x)
48.0%
(copysign.f64 #s(approx (asinh x) x) x)
Compiler

Compiled 141 to 113 computations (19.9% saved)

regimes10.0ms (0.5%)

Memory
-23.2MiB live, 21.5MiB allocated; 5ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
(copysign.f64 #s(approx (asinh x) x) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
(copysign.f64 (asinh.f64 x) x)
(copysign.f64 #s(approx (asinh x) (log.f64 (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 #s(approx (asinh x) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))) x)
Outputs
(copysign.f64 (asinh.f64 x) x)
Calls

2 calls:

6.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
4.0ms
x
Results
AccuracySegmentsBranch
99.8%1(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
99.8%1x
Compiler

Compiled 10 to 10 computations (0% saved)

regimes4.0ms (0.2%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
(copysign.f64 #s(approx (asinh x) x) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
Outputs
(copysign.f64 #s(approx (asinh x) x) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
98.4%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
98.4%2x
Compiler

Compiled 10 to 10 computations (0% saved)

regimes4.0ms (0.2%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(copysign.f64 #s(approx (asinh x) x) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))) x)
Outputs
(copysign.f64 #s(approx (asinh x) x) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))) x)
Calls

2 calls:

2.0ms
x
1.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
62.1%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
62.1%2x
Compiler

Compiled 10 to 10 computations (0% saved)

regimes3.0ms (0.2%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
(copysign.f64 #s(approx (asinh x) x) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))) x)
Outputs
(copysign.f64 #s(approx (asinh x) x) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
Calls

2 calls:

1.0ms
x
1.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
62.1%2x
62.1%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 10 to 10 computations (0% saved)

regimes2.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(copysign.f64 #s(approx (asinh x) x) x)
Outputs
(copysign.f64 #s(approx (asinh x) x) x)
Calls

2 calls:

1.0ms
x
1.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
48.0%1x
48.0%1(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch18.0ms (0.9%)

Memory
-27.6MiB live, 26.3MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.024086168408032217
2.9168394636773165
Samples
12.0ms112×0valid
Compiler

Compiled 120 to 130 computations (-8.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-hypot: 2.0ms (46.3% of total)
ival-copysign: 1.0ms (23.1% of total)
ival-log: 1.0ms (23.1% of total)
ival-fabs: 1.0ms (23.1% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.024083840110109035
1.791815510016345
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.791815510016345
2.396905351066305
Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations476.0ms (23.9%)

Memory
-13.8MiB live, 221.3MiB allocated; 25ms collecting garbage
Stop Event
done
Compiler

Compiled 51 to 41 computations (19.6% saved)

preprocess76.0ms (3.8%)

Memory
10.7MiB live, 193.0MiB allocated; 37ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 224 to 208 computations (7.1% saved)

end0.0ms (0%)

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

Profiling

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