Rust f32::asinh

Time bar (total: 2.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.6%0.4%0%0%0%0
100%99.6%0%0.4%0%0%0%1
Compiler

Compiled 4 to 4 computations (0% saved)

sample587.0ms (26.9%)

Memory
-26.1MiB live, 547.4MiB allocated; 113ms collecting garbage
Samples
415.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 257.0ms
ival-asinh: 256.0ms (99.4% of total)
adjust: 1.0ms (0.4% of total)
Bogosity

preprocess52.0ms (2.4%)

Memory
-0.7MiB live, 45.9MiB allocated; 4ms 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
39.4%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Symmetry

(negabs x)

Compiler

Compiled 24 to 18 computations (25% saved)

series6.0ms (0.3%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Counts
9 → 39
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

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

rewrite260.0ms (11.9%)

Memory
-4.5MiB live, 326.3MiB allocated; 94ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211058
0231864
11336788
08181741
Stop Event
iter-limit
node-limit
iter-limit
Counts
48 → 136
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(-.f32 (log.f32 (fma.f32 (*.f32 x x) x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(asinh.f32 (fabs.f32 x))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (fma.f32 (*.f32 x x) x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(+.f32 (/.f32 (*.f32 (*.f32 x x) x) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)))
(*.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)))
(*.f32 (sqrt.f32 x) (sqrt.f32 x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(sqrt.f32 (*.f32 x x))
(/.f32 #s(literal 1 binary32) (pow.f32 (fabs.f32 x) #s(literal -1 binary32)))
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32))
(pow.f32 (fabs.f32 x) #s(literal 1 binary32))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(fabs.f32 (fabs.f32 x))
(fabs.f32 x)
(exp.f32 (/.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (/.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 1 binary32)))
x
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(cosh.f32 (neg.f32 (asinh.f32 x)))
(cosh.f32 (asinh.f32 (neg.f32 x)))
(cosh.f32 (asinh.f32 x))
(cosh.f32 (asinh.f32 (fabs.f32 x)))
(*.f32 (fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x) #s(literal 1 binary32))) (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(-.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (log.f32 (fabs.f32 x))) (exp.f32 (log.f32 (fabs.f32 x))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))))
(+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (exp.f32 (log.f32 (fabs.f32 x))) (exp.f32 (log.f32 (fabs.f32 x))))
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 x x)
(sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x)))
(pow.f32 (exp.f32 (log.f32 (fabs.f32 x))) #s(literal 2 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 (fabs.f32 x) #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 2 binary32))))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(fabs.f32 (*.f32 (neg.f32 x) x))
(fabs.f32 (*.f32 x (neg.f32 x)))
(fabs.f32 (*.f32 x x))
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
#s(literal 1 binary32)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 (fabs.f32 x)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32) (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (*.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 45 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)) #s(literal 1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) (fabs.f32 x)) #s(literal 1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) (fabs.f32 x)) #s(literal 1 binary32)))
#s(approx (fabs x) (fabs.f32 x))
#s(approx x x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (+ (* x x) 1) (fma.f32 x x #s(literal 1 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) x)) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) (*.f32 (*.f32 x x) x)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) x))) (log.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (+ (* x x) 1) (fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (neg.f32 (log.f32 (neg.f32 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (neg.f32 (log.f32 (neg.f32 x))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) x) #s(literal -1/2 binary32) (fabs.f32 x)) x)) (neg.f32 (neg.f32 (log.f32 (neg.f32 x))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 x)))) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) x) #s(literal -1/6 binary32) (*.f32 (+.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1/2 binary32))) x)) (fabs.f32 x)) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (+.f32 (neg.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) (fabs.f32 x)) x)) #s(literal 1 binary32)) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))))

eval22.0ms (1%)

Memory
11.5MiB live, 56.1MiB allocated; 10ms collecting garbage
Compiler

Compiled 2 868 to 752 computations (73.8% saved)

prune7.0ms (0.3%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New12011131
Fresh000
Picked101
Done000
Total12111132
Accuracy
100.0%
Counts
132 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.4%
(copysign.f32 (-.f32 (log.f32 (fma.f32 (*.f32 x x) x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
-0.0%
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
39.4%
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
39.4%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
32.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
56.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
56.3%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x)) x))) x)
5.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x)))) x)
-0.0%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
99.5%
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
28.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Compiler

Compiled 390 to 256 computations (34.4% saved)

series152.0ms (7%)

Memory
-22.3MiB live, 261.2MiB allocated; 55ms collecting garbage
Counts
21 → 69
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(asinh.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
#s(literal 1 binary32)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 x)
Outputs
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)))
#s(approx (asinh (fabs x)) #s(hole binary32 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log x) #s(hole binary32 (log x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (copysign (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (pow (sqrt x) 2))) x)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (pow (sqrt x) 2)))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* 1/2 (/ (pow x 2) (+ 1 (pow (sqrt x) 2)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (pow (sqrt x) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2)))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt x) 2)))))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (pow (sqrt x) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (pow (sqrt x) 2)))) (+ (* 45 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 3))))))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt x) 2)))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (pow (sqrt x) 2))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* 1/2 (pow x 2)) (pow (sqrt x) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))) (pow (sqrt x) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (pow (sqrt x) 2)))))
#s(approx (sqrt x) #s(hole binary32 (sqrt x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ 1 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 4))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ 1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ 1 x)) 6)))) (pow x 3))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (/ 1 x) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (/ 1/2 (pow x 3)) (+ (/ 1 x) (pow (sqrt (/ 1 x)) 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (/ 1 x) (pow (sqrt (/ 1 x)) 2))) (* 1/8 (/ 1 (pow x 5)))))))
#s(approx (sqrt x) #s(hole binary32 (* x (sqrt (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ -1 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ -1 x)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt (/ 1 x)) 4)))) (/ 1 (pow (sqrt (/ 1 x)) 2))) x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ 1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ 1 x)) 6)))) x)) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 4)))) x)) (/ 1 (pow (sqrt (/ 1 x)) 2))) x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- (pow (sqrt (/ 1 x)) 2) (/ 1 x)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))) x)) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (sqrt x) #s(hole binary32 (* -1 (* x (sqrt (/ 1 x))))))
Calls

3 calls:

TimeVariablePoint
67.0ms
x
0
45.0ms
x
-inf
28.0ms
x
inf

rewrite174.0ms (8%)

Memory
41.2MiB live, 310.3MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03922151
04171457
125221278
085051199
Stop Event
iter-limit
node-limit
iter-limit
Counts
90 → 215
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(asinh.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
#s(literal 1 binary32)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 x)
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)))
#s(approx (asinh (fabs x)) #s(hole binary32 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log x) #s(hole binary32 (log x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (copysign (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (pow (sqrt x) 2))) x)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (pow (sqrt x) 2)))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* 1/2 (/ (pow x 2) (+ 1 (pow (sqrt x) 2)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (pow (sqrt x) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2)))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt x) 2)))))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (pow (sqrt x) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (pow (sqrt x) 2)))) (+ (* 45 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 3))))))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt x) 2)))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (pow (sqrt x) 2))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* 1/2 (pow x 2)) (pow (sqrt x) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))) (pow (sqrt x) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (pow (sqrt x) 2)))))
#s(approx (sqrt x) #s(hole binary32 (sqrt x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ 1 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 4))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ 1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ 1 x)) 6)))) (pow x 3))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (/ 1 x) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (/ 1/2 (pow x 3)) (+ (/ 1 x) (pow (sqrt (/ 1 x)) 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (/ 1 x) (pow (sqrt (/ 1 x)) 2))) (* 1/8 (/ 1 (pow x 5)))))))
#s(approx (sqrt x) #s(hole binary32 (* x (sqrt (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ -1 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ -1 x)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt (/ 1 x)) 4)))) (/ 1 (pow (sqrt (/ 1 x)) 2))) x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ 1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ 1 x)) 6)))) x)) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 4)))) x)) (/ 1 (pow (sqrt (/ 1 x)) 2))) x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- (pow (sqrt (/ 1 x)) 2) (/ 1 x)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))) x)) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (sqrt x) #s(hole binary32 (* -1 (* x (sqrt (/ 1 x))))))
Outputs
(copysign.f32 (asinh.f32 x) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))
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(asinh.f32 x)
x
x
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(/.f32 (neg.f32 (fma.f32 (*.f32 x x) x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))))
(/.f32 (fma.f32 (*.f32 x x) x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(-.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(+.f32 (/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)))) (/.f32 (*.f32 (*.f32 x x) x) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)))))
(+.f32 (/.f32 (*.f32 (*.f32 x x) x) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (sqrt.f32 x))) (sqrt.f32 (neg.f32 (sqrt.f32 x))))
(*.f32 (sqrt.f32 (sqrt.f32 x)) (sqrt.f32 (sqrt.f32 x)))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) x)
(*.f32 x (/.f32 #s(literal 1 binary32) (sqrt.f32 x)))
(sqrt.f32 x)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 x)))
(pow.f32 (sqrt.f32 x) #s(literal 1 binary32))
(pow.f32 (*.f32 x x) #s(literal 1/4 binary32))
(pow.f32 x #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (sqrt.f32 x)))
(fabs.f32 (sqrt.f32 x))
(exp.f32 (/.f32 (log.f32 x) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 x) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 x)) #s(literal 1 binary32)))
#s(approx (copysign (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (asinh.f32 x))
#s(approx (fabs x) x)
#s(approx (fabs x) x)
#s(approx (copysign (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 30 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 45 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))) (*.f32 (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (log x) (log.f32 x))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (+ (* x x) 1) (fma.f32 x x #s(literal 1 binary32)))
#s(approx (copysign (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(literal 1 binary32) x)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 30 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 45 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))) (*.f32 (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log.f32 (+.f32 #s(literal 1 binary32) x))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))
#s(approx (sqrt x) (sqrt.f32 x))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (log.f32 x))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(literal 1 binary32)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 (fma.f32 (/.f32 #s(literal -3 binary32) (*.f32 x x)) #s(literal 1 binary32) #s(literal 2 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (+ (* x x) 1) (*.f32 x x))
#s(approx (+ (* x x) 1) (fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (log.f32 x))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) x) x)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) x) x)) #s(literal 1/2 binary32)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (fma.f32 (/.f32 #s(literal 1 binary32) x) x (*.f32 (fma.f32 (/.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1 binary32) #s(literal 2 binary32)) #s(literal 1/6 binary32)))) #s(literal 1/2 binary32)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) x)) (*.f32 x x) (+.f32 x x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) x)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) (*.f32 (pow.f32 x #s(literal -5 binary32)) #s(literal 1/8 binary32)))) (*.f32 x x)))
#s(approx (sqrt x) (sqrt.f32 x))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (neg.f32 (neg.f32 (log.f32 (neg.f32 x)))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 x)))) #s(literal 1 binary32)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) x) #s(literal -1/2 binary32) x) x)) (neg.f32 (neg.f32 (log.f32 (neg.f32 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x x))))) x))) x)) (neg.f32 (neg.f32 (log.f32 (neg.f32 x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) #s(literal 0 binary32)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x))) #s(literal 1 binary32)) x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x)) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (fma.f32 (neg.f32 (log.f32 (neg.f32 x))) #s(literal -2 binary32) (neg.f32 (log.f32 x))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (-.f32 (fma.f32 (neg.f32 (log.f32 (neg.f32 x))) #s(literal -2 binary32) (neg.f32 (log.f32 x))) (*.f32 (/.f32 #s(literal 1 binary32) x) x)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (neg.f32 (log.f32 (neg.f32 x))) #s(literal -2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x x) x))) (neg.f32 (log.f32 x))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (neg.f32 (log.f32 (neg.f32 x))) #s(literal -2 binary32) (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 2 binary32) (*.f32 #s(literal 3 binary32) x)) x) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) x))) x))) (neg.f32 (log.f32 x))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (fma.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)) (*.f32 x x) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (fma.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x)) (*.f32 x x) x))
#s(approx (sqrt x) (neg.f32 (sqrt.f32 x)))

eval67.0ms (3.1%)

Memory
-20.7MiB live, 75.8MiB allocated; 85ms collecting garbage
Compiler

Compiled 5 311 to 976 computations (81.6% saved)

prune9.0ms (0.4%)

Memory
25.3MiB live, 25.3MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1958203
Fresh336
Picked235
Done000
Total20014214
Accuracy
100.0%
Counts
214 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.4%
(copysign.f32 (-.f32 (log.f32 (fma.f32 (*.f32 x x) x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
-0.0%
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
39.4%
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
29.6%
(copysign.f32 (log.f32 (/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))))) x)
39.4%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
32.3%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))) x)
32.1%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) x)) x)
56.5%
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
-0.0%
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
56.3%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x)) x))) x)
5.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x)))) x)
99.5%
(copysign.f32 (asinh.f32 #s(approx (fabs x) x)) x)
30.3%
(copysign.f32 #s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(literal 1 binary32))) x)
28.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Compiler

Compiled 495 to 299 computations (39.6% saved)

series40.0ms (1.8%)

Memory
-1.9MiB live, 88.4MiB allocated; 18ms collecting garbage
Counts
26 → 94
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 #s(approx (fabs x) x)) x)
(asinh.f32 #s(approx (fabs x) x))
#s(approx (fabs x) x)
x
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
(log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))
(+.f32 x x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))) x)
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x)))
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
#s(approx (+ (* x x) 1) (*.f32 x x))
(*.f32 x x)
(fabs.f32 x)
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (neg.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
Outputs
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)))
#s(approx (asinh (fabs x)) #s(hole binary32 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (pow (sqrt x) 2))) x)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (pow (sqrt x) 2)))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* 1/2 (/ (pow x 2) (+ 1 (pow (sqrt x) 2)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (pow (sqrt x) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2)))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt x) 2)))))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (pow (sqrt x) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (pow (sqrt x) 2)))) (+ (* 45 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 3))))))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt x) 2)))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (pow (sqrt x) 2))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* 1/2 (pow x 2)) (pow (sqrt x) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))) (pow (sqrt x) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (pow (sqrt x) 2)))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ x x) #s(hole binary32 (* 2 x)))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (copysign (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (pow (sqrt (neg x)) 2))) x)))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (pow (sqrt (* -1 x)) 2)))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt (* -1 x)) 2))) (* 1/2 (/ (pow x 2) (+ 1 (pow (sqrt (* -1 x)) 2)))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt (* -1 x)) 2))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (pow (sqrt (* -1 x)) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt (* -1 x)) 2)) 2)))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt (* -1 x)) 2)))))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt (* -1 x)) 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (pow (sqrt (* -1 x)) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt (* -1 x)) 2)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (pow (sqrt (* -1 x)) 2)))) (+ (* 45 (/ 1 (pow (+ 1 (pow (sqrt (* -1 x)) 2)) 2))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt (* -1 x)) 2)) 3))))))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt (* -1 x)) 2)))))))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (pow (sqrt (* -1 x)) 2))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* 1/2 (pow x 2)) (pow (sqrt (* -1 x)) 2)))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))) (pow (sqrt (* -1 x)) 2)))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (pow (sqrt (* -1 x)) 2)))))
#s(approx (sqrt (neg x)) #s(hole binary32 (sqrt (* -1 x))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ 1 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 4))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ 1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ 1 x)) 6)))) (pow x 3))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (/ 1 x) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (/ 1/2 (pow x 3)) (+ (/ 1 x) (pow (sqrt (/ 1 x)) 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (/ 1 x) (pow (sqrt (/ 1 x)) 2))) (* 1/8 (/ 1 (pow x 5)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ -1 x)) 2)) (* -2 (log (/ 1 x))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ -1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ -1 x)) 2)))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ -1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ -1 x)) 2))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ -1 x)) 4))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ -1 x)) 2)) (+ (* -2 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ -1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ -1 x)) 6)))) (pow x 3))) (/ 1 (* x (pow (sqrt (/ -1 x)) 2)))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ -1 x)) 4)))))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (pow (sqrt (/ -1 x)) 2))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (/ 1 x) (pow (sqrt (/ -1 x)) 2)))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (/ 1/2 (pow x 3)) (+ (/ 1 x) (pow (sqrt (/ -1 x)) 2))))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (/ 1 x) (pow (sqrt (/ -1 x)) 2))) (* 1/8 (/ 1 (pow x 5)))))))
#s(approx (sqrt (neg x)) #s(hole binary32 (* x (sqrt (/ -1 x)))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ -1 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ -1 x)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt (/ 1 x)) 4)))) (/ 1 (pow (sqrt (/ 1 x)) 2))) x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ 1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ 1 x)) 6)))) x)) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 4)))) x)) (/ 1 (pow (sqrt (/ 1 x)) 2))) x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- (pow (sqrt (/ 1 x)) 2) (/ 1 x)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))) x)) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (copysign (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (pow (sqrt (* -1 x)) 2))) x)))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ -1 x)) 2)) (* -2 (log (/ -1 x))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ -1 x)) 2)) (* -2 (log (/ -1 x)))) (/ 1 (* x (pow (sqrt (/ -1 x)) 2))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ -1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt (/ -1 x)) 4)))) (/ 1 (pow (sqrt (/ -1 x)) 2))) x))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ -1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ -1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ -1 x)) 6)))) x)) (* 1/2 (/ 1 (pow (sqrt (/ -1 x)) 4)))) x)) (/ 1 (pow (sqrt (/ -1 x)) 2))) x))))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- (pow (sqrt (/ -1 x)) 2) (/ 1 x)))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)) (pow (sqrt (/ -1 x)) 2)))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))) x)) (pow (sqrt (/ -1 x)) 2)))))
#s(approx (sqrt (neg x)) #s(hole binary32 (* -1 (* x (sqrt (/ -1 x))))))
Calls

3 calls:

TimeVariablePoint
15.0ms
x
0
14.0ms
x
-inf
9.0ms
x
inf

rewrite110.0ms (5%)

Memory
-2.2MiB live, 132.4MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05383329
05632176
038732068
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
120 → 148
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 #s(approx (fabs x) x)) x)
(asinh.f32 #s(approx (fabs x) x))
#s(approx (fabs x) x)
x
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
(log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))
(+.f32 x x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))) x)
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x)))
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
#s(approx (+ (* x x) 1) (*.f32 x x))
(*.f32 x x)
(fabs.f32 x)
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (neg.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)))
#s(approx (asinh (fabs x)) #s(hole binary32 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (pow (sqrt x) 2))) x)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (pow (sqrt x) 2)))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* 1/2 (/ (pow x 2) (+ 1 (pow (sqrt x) 2)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (pow (sqrt x) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2)))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt x) 2)))))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (pow (sqrt x) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (pow (sqrt x) 2)))) (+ (* 45 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 3))))))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt x) 2)))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (pow (sqrt x) 2))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* 1/2 (pow x 2)) (pow (sqrt x) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))) (pow (sqrt x) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (pow (sqrt x) 2)))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ x x) #s(hole binary32 (* 2 x)))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (copysign (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (pow (sqrt (neg x)) 2))) x)))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (pow (sqrt (* -1 x)) 2)))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt (* -1 x)) 2))) (* 1/2 (/ (pow x 2) (+ 1 (pow (sqrt (* -1 x)) 2)))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt (* -1 x)) 2))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (pow (sqrt (* -1 x)) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt (* -1 x)) 2)) 2)))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt (* -1 x)) 2)))))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt (* -1 x)) 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (pow (sqrt (* -1 x)) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt (* -1 x)) 2)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (pow (sqrt (* -1 x)) 2)))) (+ (* 45 (/ 1 (pow (+ 1 (pow (sqrt (* -1 x)) 2)) 2))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt (* -1 x)) 2)) 3))))))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt (* -1 x)) 2)))))))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (pow (sqrt (* -1 x)) 2))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* 1/2 (pow x 2)) (pow (sqrt (* -1 x)) 2)))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))) (pow (sqrt (* -1 x)) 2)))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (pow (sqrt (* -1 x)) 2)))))
#s(approx (sqrt (neg x)) #s(hole binary32 (sqrt (* -1 x))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ 1 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 4))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ 1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ 1 x)) 6)))) (pow x 3))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (/ 1 x) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (/ 1/2 (pow x 3)) (+ (/ 1 x) (pow (sqrt (/ 1 x)) 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (/ 1 x) (pow (sqrt (/ 1 x)) 2))) (* 1/8 (/ 1 (pow x 5)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ -1 x)) 2)) (* -2 (log (/ 1 x))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ -1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ -1 x)) 2)))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ -1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ -1 x)) 2))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ -1 x)) 4))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ -1 x)) 2)) (+ (* -2 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ -1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ -1 x)) 6)))) (pow x 3))) (/ 1 (* x (pow (sqrt (/ -1 x)) 2)))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ -1 x)) 4)))))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (pow (sqrt (/ -1 x)) 2))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (/ 1 x) (pow (sqrt (/ -1 x)) 2)))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (/ 1/2 (pow x 3)) (+ (/ 1 x) (pow (sqrt (/ -1 x)) 2))))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (/ 1 x) (pow (sqrt (/ -1 x)) 2))) (* 1/8 (/ 1 (pow x 5)))))))
#s(approx (sqrt (neg x)) #s(hole binary32 (* x (sqrt (/ -1 x)))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ -1 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ -1 x)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt (/ 1 x)) 4)))) (/ 1 (pow (sqrt (/ 1 x)) 2))) x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ 1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ 1 x)) 6)))) x)) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 4)))) x)) (/ 1 (pow (sqrt (/ 1 x)) 2))) x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- (pow (sqrt (/ 1 x)) 2) (/ 1 x)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))) x)) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (copysign (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (pow (sqrt (* -1 x)) 2))) x)))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ -1 x)) 2)) (* -2 (log (/ -1 x))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ -1 x)) 2)) (* -2 (log (/ -1 x)))) (/ 1 (* x (pow (sqrt (/ -1 x)) 2))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ -1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt (/ -1 x)) 4)))) (/ 1 (pow (sqrt (/ -1 x)) 2))) x))))))
#s(approx (log (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ -1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ -1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ -1 x)) 6)))) x)) (* 1/2 (/ 1 (pow (sqrt (/ -1 x)) 4)))) x)) (/ 1 (pow (sqrt (/ -1 x)) 2))) x))))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- (pow (sqrt (/ -1 x)) 2) (/ 1 x)))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)) (pow (sqrt (/ -1 x)) 2)))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))) x)) (pow (sqrt (/ -1 x)) 2)))))
#s(approx (sqrt (neg x)) #s(hole binary32 (* -1 (* x (sqrt (/ -1 x))))))
Outputs
(copysign.f32 (asinh.f32 #s(approx (neg x) x)) x)
(log.f32 (+.f32 #s(approx (neg x) x) (sqrt.f32 (fma.f32 #s(approx (neg x) x) #s(approx (neg x) x) #s(literal 1 binary32)))))
(asinh.f32 #s(approx (neg x) x))
#s(approx (neg x) x)
x
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) x)) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) x))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) x)
x
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 x x))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 x x)))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 x x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (-.f32 x x))
(/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 2 binary32)) (fma.f32 x x (-.f32 (*.f32 x x) (*.f32 x x))))
(+.f32 x x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x)
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))
(/.f32 (-.f32 (*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) (*.f32 x x)) (-.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))
(/.f32 (+.f32 (pow.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 3 binary32)) (*.f32 (*.f32 x x) x)) (fma.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))))
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)
(+.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
(pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/2 binary32))
#s(approx (+ (* x x) 1) (*.f32 x x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
x
(copysign.f32 (asinh.f32 x) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))
(asinh.f32 x)
(/.f32 (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))
(/.f32 (fma.f32 (*.f32 x x) x (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (+.f32 (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 3 binary32)) (*.f32 (*.f32 x x) x)) (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))))
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#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (-.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))) x))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x))) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -2 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 2 binary32)) x)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))) x)))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x))) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 3 binary32))) (/.f32 #s(literal 3 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))) x) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 2 binary32)))) x)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))) x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 x x)))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))) (*.f32 x x)))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))) (*.f32 x x)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (neg.f32 (neg.f32 (log.f32 x))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (/.f32 x x)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) x) #s(literal -1/2 binary32) x) x)) (neg.f32 (neg.f32 (log.f32 x)))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x x))))) x))) x)) (neg.f32 (neg.f32 (log.f32 x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (+.f32 (/.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (+.f32 (neg.f32 (/.f32 (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) x)) #s(literal 1 binary32)) x))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x)) #s(literal 1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (copysign (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (-.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))) x))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x))) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -2 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 2 binary32)) x)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))) x)))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x))) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 3 binary32))) (/.f32 #s(literal 3 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))) x) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 2 binary32)))) x)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))) x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 x x)))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))) (*.f32 x x)))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))) (*.f32 x x)))
#s(approx (sqrt (neg x)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) x))

eval9.0ms (0.4%)

Memory
27.2MiB live, 27.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 438 to 517 computations (78.8% saved)

prune11.0ms (0.5%)

Memory
-22.6MiB live, 21.8MiB allocated; 7ms collecting garbage
Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New89190
Fresh156
Picked055
Done033
Total9014104
Accuracy
100.0%
Counts
104 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.4%
(copysign.f32 (-.f32 (log.f32 (fma.f32 (*.f32 x x) x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
-0.0%
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
39.4%
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
29.6%
(copysign.f32 (log.f32 (/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))))) x)
39.4%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
32.3%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))) x)
32.1%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) x)) x)
56.5%
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
-0.0%
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
56.3%
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) x))) x)
5.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x)))) x)
99.5%
(copysign.f32 (asinh.f32 #s(approx (fabs x) x)) x)
30.3%
(copysign.f32 #s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(literal 1 binary32))) x)
28.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Compiler

Compiled 418 to 248 computations (40.7% saved)

series54.0ms (2.5%)

Memory
17.5MiB live, 107.7MiB allocated; 33ms collecting garbage
Counts
39 → 141
Calls
Call 1
Inputs
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) x))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) x))
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) x)
(+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)
(*.f32 x x)
x
#s(literal 1 binary32)
(/.f32 x x)
(copysign.f32 #s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(literal 1 binary32))) x)
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(literal 1 binary32)))
(+.f32 (log.f32 x) #s(literal 1 binary32))
(log.f32 x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x)))
(neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x))
(*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x)
(+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32))
(neg.f32 (/.f32 (fabs.f32 x) x))
(/.f32 (fabs.f32 x) x)
(fabs.f32 x)
(copysign.f32 (log.f32 (/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))))) x)
(log.f32 (/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)))))
(/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))))
(fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
(*.f32 (*.f32 x x) x)
(+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)))
(-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)
Outputs
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (* (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) x) #s(hole binary32 (/ 1/2 x)))
#s(approx (* (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) x) #s(hole binary32 (/ (+ 1/2 (* 2 (pow x 2))) x)))
#s(approx (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) #s(hole binary32 (/ 1/2 (pow x 2))))
#s(approx (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) #s(hole binary32 (/ (+ 1/2 (* 2 (pow x 2))) (pow x 2))))
#s(approx (+ (/ 1/2 (* x x)) 1) #s(hole binary32 (/ (+ 1/2 (pow x 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))
#s(approx (/ x x) #s(hole binary32 1))
#s(approx (copysign (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (pow (sqrt x) 2))) x)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (pow (sqrt x) 2)))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* 1/2 (/ (pow x 2) (+ 1 (pow (sqrt x) 2)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (pow (sqrt x) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2)))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt x) 2)))))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (pow (sqrt x) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (pow (sqrt x) 2)))) (+ (* 45 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 3))))))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt x) 2)))))))))
#s(approx (+ (log x) 1) #s(hole binary32 (+ 1 (log x))))
#s(approx (log x) #s(hole binary32 (log x)))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (neg (* (+ (neg (/ (fabs x) x)) 1) x)) #s(hole binary32 (fabs x)))
#s(approx (neg (* (+ (neg (/ (fabs x) x)) 1) x)) #s(hole binary32 (- (* -1 x) (* -1 (fabs x)))))
#s(approx (* (+ (neg (/ (fabs x) x)) 1) x) #s(hole binary32 (* -1 (fabs x))))
#s(approx (* (+ (neg (/ (fabs x) x)) 1) x) #s(hole binary32 (+ x (* -1 (fabs x)))))
#s(approx (+ (neg (/ (fabs x) x)) 1) #s(hole binary32 (* -1 (/ (fabs x) x))))
#s(approx (+ (neg (/ (fabs x) x)) 1) #s(hole binary32 (/ (- x (fabs x)) x)))
#s(approx (/ (fabs x) x) #s(hole binary32 (/ (fabs x) x)))
#s(approx (copysign (log (/ (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))))) x) #s(hole binary32 (copysign (log (/ (+ (* (sqrt (+ 1 (pow x 2))) (+ 1 (pow x 2))) (pow x 3)) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) x)))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 3/2 x)))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x))))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* (* x x) x) #s(hole binary32 (pow x 3)))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (+ 1 (* -1 x))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (+ 1 (* x (- (* 2 x) 1)))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* -1 x)))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (- x 1))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (- (* x (+ 1 (* -1/2 x))) 1))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 1 (* 1/2 (pow x 2))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (* (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) x) #s(hole binary32 (* 2 x)))
#s(approx (* (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) #s(hole binary32 2))
#s(approx (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) #s(hole binary32 (+ 2 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1/2 (* x x)) 1) #s(hole binary32 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ 1 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 4))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ 1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ 1 x)) 6)))) (pow x 3))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4)))))))
#s(approx (+ (log x) 1) #s(hole binary32 (+ 1 (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (neg (* (+ (neg (/ (fabs x) x)) 1) x)) #s(hole binary32 (* x (- (/ (fabs x) x) 1))))
#s(approx (* (+ (neg (/ (fabs x) x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1 (/ (fabs x) x))))))
#s(approx (+ (neg (/ (fabs x) x)) 1) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) x)))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* 2 (pow x 3))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 -1/2))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (* 1/8 (/ 1 (pow x 2))) 1/2)))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* (pow x 2) (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* (pow x 2) (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ -1 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ -1 x)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt (/ 1 x)) 4)))) (/ 1 (pow (sqrt (/ 1 x)) 2))) x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ 1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ 1 x)) 6)))) x)) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 4)))) x)) (/ 1 (pow (sqrt (/ 1 x)) 2))) x))))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (* (+ (neg (/ (fabs x) x)) 1) x) #s(hole binary32 (* -1 (* x (- (/ (fabs x) x) 1)))))
#s(approx (copysign (log (/ (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))))) x) #s(hole binary32 (copysign (log (/ (- (* (sqrt (+ 1 (pow x 2))) (+ 1 (pow x 2))) (* -1 (pow x 3))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) x)))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* -3/2 x)))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* 3 (pow x 2))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* 2 (pow x 2))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* (pow x 2) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* (pow x 2) (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* (pow x 2) (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (pow x 2))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))))
Calls

3 calls:

TimeVariablePoint
25.0ms
x
-inf
15.0ms
x
inf
12.0ms
x
0

rewrite141.0ms (6.5%)

Memory
10.7MiB live, 187.4MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06664326
07193254
041823094
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
180 → 287
Calls
Call 1
Inputs
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) x))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) x))
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) x)
(+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)
(*.f32 x x)
x
#s(literal 1 binary32)
(/.f32 x x)
(copysign.f32 #s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(literal 1 binary32))) x)
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(literal 1 binary32)))
(+.f32 (log.f32 x) #s(literal 1 binary32))
(log.f32 x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x)))
(neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x))
(*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x)
(+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32))
(neg.f32 (/.f32 (fabs.f32 x) x))
(/.f32 (fabs.f32 x) x)
(fabs.f32 x)
(copysign.f32 (log.f32 (/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))))) x)
(log.f32 (/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)))))
(/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))))
(fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
(*.f32 (*.f32 x x) x)
(+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)))
(-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (* (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) x) #s(hole binary32 (/ 1/2 x)))
#s(approx (* (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) x) #s(hole binary32 (/ (+ 1/2 (* 2 (pow x 2))) x)))
#s(approx (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) #s(hole binary32 (/ 1/2 (pow x 2))))
#s(approx (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) #s(hole binary32 (/ (+ 1/2 (* 2 (pow x 2))) (pow x 2))))
#s(approx (+ (/ 1/2 (* x x)) 1) #s(hole binary32 (/ (+ 1/2 (pow x 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))
#s(approx (/ x x) #s(hole binary32 1))
#s(approx (copysign (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (pow (sqrt x) 2))) x)))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (pow (sqrt x) 2)))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* 1/2 (/ (pow x 2) (+ 1 (pow (sqrt x) 2)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (pow (sqrt x) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2)))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt x) 2)))))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (pow (sqrt x) 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (pow (sqrt x) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (pow (sqrt x) 2)))) (+ (* 45 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 2))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt x) 2)) 3))))))))) (* 1/2 (/ 1 (+ 1 (pow (sqrt x) 2)))))))))
#s(approx (+ (log x) 1) #s(hole binary32 (+ 1 (log x))))
#s(approx (log x) #s(hole binary32 (log x)))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (neg (* (+ (neg (/ (fabs x) x)) 1) x)) #s(hole binary32 (fabs x)))
#s(approx (neg (* (+ (neg (/ (fabs x) x)) 1) x)) #s(hole binary32 (- (* -1 x) (* -1 (fabs x)))))
#s(approx (* (+ (neg (/ (fabs x) x)) 1) x) #s(hole binary32 (* -1 (fabs x))))
#s(approx (* (+ (neg (/ (fabs x) x)) 1) x) #s(hole binary32 (+ x (* -1 (fabs x)))))
#s(approx (+ (neg (/ (fabs x) x)) 1) #s(hole binary32 (* -1 (/ (fabs x) x))))
#s(approx (+ (neg (/ (fabs x) x)) 1) #s(hole binary32 (/ (- x (fabs x)) x)))
#s(approx (/ (fabs x) x) #s(hole binary32 (/ (fabs x) x)))
#s(approx (copysign (log (/ (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))))) x) #s(hole binary32 (copysign (log (/ (+ (* (sqrt (+ 1 (pow x 2))) (+ 1 (pow x 2))) (pow x 3)) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) x)))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 3/2 x)))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x))))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* (* x x) x) #s(hole binary32 (pow x 3)))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (+ 1 (* -1 x))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (+ 1 (* x (- (* 2 x) 1)))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* -1 x)))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (- x 1))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (- (* x (+ 1 (* -1/2 x))) 1))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 1 (* 1/2 (pow x 2))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (* (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) x) #s(hole binary32 (* 2 x)))
#s(approx (* (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) #s(hole binary32 2))
#s(approx (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) #s(hole binary32 (+ 2 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1/2 (* x x)) 1) #s(hole binary32 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ 1 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 4))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ 1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ 1 x)) 6)))) (pow x 3))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4)))))))
#s(approx (+ (log x) 1) #s(hole binary32 (+ 1 (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (neg (* (+ (neg (/ (fabs x) x)) 1) x)) #s(hole binary32 (* x (- (/ (fabs x) x) 1))))
#s(approx (* (+ (neg (/ (fabs x) x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1 (/ (fabs x) x))))))
#s(approx (+ (neg (/ (fabs x) x)) 1) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) x)))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* 2 (pow x 3))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 -1/2))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (* 1/8 (/ 1 (pow x 2))) 1/2)))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* (pow x 2) (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* (pow x 2) (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ -1 x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (- (+ (log (pow (sqrt (/ 1 x)) 2)) (* -2 (log (/ -1 x)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt (/ 1 x)) 4)))) (/ 1 (pow (sqrt (/ 1 x)) 2))) x))))))
#s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (pow (sqrt (/ 1 x)) 2)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 3 (/ 1 (pow (sqrt (/ 1 x)) 2))) (* 2 (/ 1 (pow (sqrt (/ 1 x)) 6)))) x)) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 4)))) x)) (/ 1 (pow (sqrt (/ 1 x)) 2))) x))))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (* (+ (neg (/ (fabs x) x)) 1) x) #s(hole binary32 (* -1 (* x (- (/ (fabs x) x) 1)))))
#s(approx (copysign (log (/ (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))))) x) #s(hole binary32 (copysign (log (/ (- (* (sqrt (+ 1 (pow x 2))) (+ 1 (pow x 2))) (* -1 (pow x 3))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) x)))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* -3/2 x)))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) #s(hole binary32 (* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* 3 (pow x 2))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) #s(hole binary32 (* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* 2 (pow x 2))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* (pow x 2) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* (pow x 2) (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* (pow x 2) (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (pow x 2))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))))
Outputs
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x))
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)))
(fma.f32 #s(literal 2 binary32) x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
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#s(approx (* (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) x) (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal 1/2 binary32)) x))
#s(approx (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
#s(approx (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal 1/2 binary32)) (*.f32 x x)))
#s(approx (+ (/ 1/2 (* x x)) 1) (/.f32 (fma.f32 x x #s(literal 1/2 binary32)) (*.f32 x x)))
#s(approx (* x x) (*.f32 x x))
#s(approx x x)
#s(approx (/ x x) #s(literal 1 binary32))
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#s(approx (+ (log x) 1) (+.f32 (log.f32 x) #s(literal 1 binary32)))
#s(approx (log x) (log.f32 x))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x))
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#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)))
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#s(approx (neg (* (+ (neg (/ (fabs x) x)) 1) x)) x)
#s(approx (neg (* (+ (neg (/ (fabs x) x)) 1) x)) (-.f32 (neg.f32 x) (neg.f32 x)))
#s(approx (neg (* (+ (neg (/ (fabs x) x)) 1) x)) (neg.f32 x))
#s(approx (neg (* (+ (neg (/ (fabs x) x)) 1) x)) (+.f32 (neg.f32 x) x))
#s(approx (+ (neg (/ (fabs x) x)) 1) #s(literal -1 binary32))
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#s(approx (+ (* x x) 1) (fma.f32 x x #s(literal 1 binary32)))
#s(approx (* (* x x) x) (*.f32 (*.f32 x x) x))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) (+.f32 (neg.f32 x) #s(literal 1 binary32)))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) (fma.f32 (-.f32 (+.f32 x x) #s(literal 1 binary32)) x #s(literal 1 binary32)))
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#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (neg.f32 (neg.f32 (log.f32 x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (neg.f32 (neg.f32 (log.f32 x))) #s(literal 1 binary32)))
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#s(approx (* (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) x) (+.f32 x x))
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#s(approx (+ (+ (/ 1/2 (* x x)) 1) (/ x x)) #s(literal 2 binary32))
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#s(approx (+ (log x) 1) (+.f32 (neg.f32 (neg.f32 (log.f32 x))) #s(literal 1 binary32)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (neg.f32 (log.f32 x)))))
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#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))
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#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x))
#s(approx (neg (* (+ (neg (/ (fabs x) x)) 1) x)) (*.f32 #s(literal 0 binary32) x))
#s(approx (neg (* (+ (neg (/ (fabs x) x)) 1) x)) (*.f32 #s(literal 0 binary32) x))
#s(approx (+ (neg (/ (fabs x) x)) 1) #s(literal 0 binary32))
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#s(approx (+ (* x x) 1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)))
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#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) #s(literal -1/2 binary32))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)))
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#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) x) #s(literal -1/2 binary32) x) x)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x x))))) x))) x)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 #s(literal 0 binary32) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (*.f32 (+.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) #s(literal 1 binary32)) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (neg.f32 x) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x)) #s(literal 1 binary32))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)) x)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 3 binary32))) (/.f32 #s(literal 3 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))) x) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) x)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 #s(literal 1 binary32) (sqrt.f32 x))))) x)))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (copysign.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 x))) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (-.f32 (+.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 5/96 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 5/128 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))))
#s(approx (neg (* (+ (neg (/ (fabs x) x)) 1) x)) (*.f32 #s(literal 0 binary32) x))
#s(approx (copysign (log (/ (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))))) x) (copysign.f32 (log.f32 (/.f32 (-.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 x x) x))) (-.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)))) x))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) (*.f32 #s(literal -3/2 binary32) x))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 x x)) #s(literal 3/2 binary32)) x)))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) (neg.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 x x)) #s(literal 3/2 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) x)))
#s(approx (+ (* (sqrt (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)) (*.f32 (neg.f32 x) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 x x)) #s(literal 3/2 binary32)) (/.f32 #s(literal 3/128 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)))) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) (*.f32 #s(literal 3 binary32) (*.f32 x x)))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) (*.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (*.f32 x x)) #s(literal 3 binary32)) (*.f32 x x)))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (*.f32 x x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x x)))
#s(approx (+ (+ (* x x) 1) (- (* x x) (* (sqrt (+ (* x x) 1)) x))) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (*.f32 x x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x x)))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) (*.f32 (*.f32 x x) #s(literal 2 binary32)))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (*.f32 x x)))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x x)))
#s(approx (- (* x x) (* (sqrt (+ (* x x) 1)) x)) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x x)))
#s(approx (* (sqrt (+ (* x x) 1)) x) (neg.f32 (*.f32 x x)))
#s(approx (* (sqrt (+ (* x x) 1)) x) (*.f32 (neg.f32 (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (* (sqrt (+ (* x x) 1)) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (sqrt (+ (* x x) 1)) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 x x)))

eval28.0ms (1.3%)

Memory
34.8MiB live, 78.3MiB allocated; 11ms collecting garbage
Compiler

Compiled 9 235 to 1 550 computations (83.2% saved)

prune14.0ms (0.6%)

Memory
-8.3MiB live, 35.4MiB allocated; 9ms collecting garbage
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New2454249
Fresh101
Picked325
Done178
Total25013263
Accuracy
100.0%
Counts
263 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
-0.0%
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
39.4%
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
29.6%
(copysign.f32 (log.f32 (/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
39.4%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
32.1%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) x)) x)
56.5%
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
-0.0%
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
56.3%
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x))) x)
-0.0%
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))) x)
99.5%
(copysign.f32 (asinh.f32 #s(approx (fabs x) x)) x)
30.3%
(copysign.f32 #s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(literal 1 binary32))) x)
49.8%
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
28.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Compiler

Compiled 729 to 295 computations (59.5% saved)

regimes17.0ms (0.8%)

Memory
-7.8MiB live, 36.8MiB allocated; 9ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) x)) x)
(copysign.f32 (asinh.f32 #s(approx (fabs x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)) x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x))) x)
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 x x)) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x)) x))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
(copysign.f32 (log.f32 (/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
(copysign.f32 (log.f32 (/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))))) x)
(copysign.f32 (-.f32 (log.f32 (fma.f32 (*.f32 x x) x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
(copysign.f32 (-.f32 (log.f32 (fma.f32 (*.f32 x x) x (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
Outputs
(copysign.f32 (asinh.f32 #s(approx (fabs x) x)) x)
Calls

2 calls:

10.0ms
x
5.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
99.5%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
99.5%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes4.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) x)) x)
Outputs
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) x)) x)
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
60.3%2(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
60.3%2x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes4.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
Outputs
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
56.5%1x
56.5%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes100.0ms (4.6%)

Memory
-43.1MiB live, 11.5MiB allocated; 90ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(literal 1 binary32))) x)
Outputs
(copysign.f32 #s(approx (log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(literal 1 binary32))) x)
Calls

2 calls:

98.0ms
x
1.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
30.3%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
30.3%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes3.0ms (0.1%)

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

Total -9.0b remaining (-39.2%)

Threshold costs -9b (-39.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Calls

2 calls:

1.0ms
x
1.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
28.1%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
28.1%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.7989005446434021
1.3700312376022339
Compiler

Compiled 15 to 13 computations (13.3% saved)

derivations214.0ms (9.8%)

Memory
11.4MiB live, 271.2MiB allocated; 78ms collecting garbage
Stop Event
fuel
Compiler

Compiled 108 to 39 computations (63.9% saved)

preprocess96.0ms (4.4%)

Memory
27.2MiB live, 124.4MiB allocated; 30ms collecting garbage
Compiler

Compiled 356 to 194 computations (45.5% saved)

end0.0ms (0%)

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

Profiling

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