Hyperbolic arcsine

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze88.0ms (3%)

Memory
-11.1MiB live, 133.5MiB allocated; 29ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
50%50%50%0%0%0%0%4
62.5%62.5%37.5%0%0%0%0%5
68.8%68.7%31.2%0%0%0%0%6
71.9%71.8%28.1%0%0%0%0%7
73.4%73.4%26.5%0%0%0%0%8
74.2%74.2%25.8%0%0%0%0%9
74.6%74.6%25.4%0%0%0%0%10
74.8%74.8%25.2%0%0%0%0%11
74.9%74.9%25.1%0%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample2.0s (67.3%)

Memory
29.0MiB live, 3 027.4MiB allocated; 438ms collecting garbage
Samples
840.0ms1 708×2valid
693.0ms4 406×1valid
122.0ms2 142×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-log: 826.0ms (59.3% of total)
ival-hypot: 383.0ms (27.5% of total)
adjust: 115.0ms (8.3% of total)
ival-add!: 68.0ms (4.9% of total)
Bogosity

preprocess77.0ms (2.6%)

Memory
-29.5MiB live, 17.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01430
13128
26028
38928
416228
540528
6248828
7697328
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.4%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 14 to 14 computations (0% saved)

series6.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Counts
7 → 42
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 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 binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

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

rewrite154.0ms (5.2%)

Memory
13.7MiB live, 246.8MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177899
0184661
11060653
08246613
Stop Event
iter-limit
node-limit
iter-limit
Counts
49 → 144
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 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 binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(asinh.f64 x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (fma.f64 x x (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) x)) (+.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
x
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 5/128 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))

eval18.0ms (0.6%)

Memory
-17.0MiB live, 37.7MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 455 to 674 computations (53.7% saved)

prune5.0ms (0.2%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1356141
Fresh000
Picked101
Done000
Total1366142
Accuracy
100.0%
Counts
142 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.4%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
28.2%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
25.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
12.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
99.9%
(asinh.f64 x)
49.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Compiler

Compiled 88 to 88 computations (0% saved)

series4.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Counts
14 → 54
Calls
Call 1
Inputs
(asinh.f64 x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
Outputs
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

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

rewrite165.0ms (5.6%)

Memory
-10.9MiB live, 225.5MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01941185
0199914
11086896
08128854
Stop Event
iter-limit
node-limit
iter-limit
Counts
68 → 103
Calls
Call 1
Inputs
(asinh.f64 x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(asinh.f64 x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (fma.f64 x x (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) (neg.f64 x)))))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (log.f64 (*.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x)))) (log.f64 (fma.f64 x x (-.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f64 x x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))
(/.f64 (fma.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x) (*.f64 (*.f64 x x) x)) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x) (-.f64 (*.f64 x x) (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) (neg.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(/.f64 (*.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x))) (fma.f64 x x (-.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) (/.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))) (/.f64 (*.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x)) (fma.f64 x x (-.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (- x -1) x)
#s(approx (- x -1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 5/128 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))

eval7.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 971 to 369 computations (62% saved)

prune4.0ms (0.1%)

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

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New77178
Fresh011
Picked055
Done000
Total77784
Accuracy
100.0%
Counts
84 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.4%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
28.2%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
25.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
12.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
9.2%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x)))
99.9%
(asinh.f64 x)
49.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Compiler

Compiled 55 to 55 computations (0% saved)

series15.0ms (0.5%)

Memory
-41.0MiB live, 6.1MiB allocated; 1ms collecting garbage
Counts
9 → 69
Calls
Call 1
Inputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x))
#s(approx (- x -1) x)
x
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* 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 binary64 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (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 binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* 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 binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (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 binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
13.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) x (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1) 1)
1.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) x (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1) 1)
1.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) x (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1) 1)

rewrite162.0ms (5.5%)

Memory
38.6MiB live, 180.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02101453
02161109
111271091
081071036
Stop Event
iter-limit
node-limit
iter-limit
Counts
78 → 171
Calls
Call 1
Inputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x))
#s(approx (- x -1) x)
x
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* 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 binary64 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (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 binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* 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 binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (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 binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x))
#s(approx (- x -1) x)
x
(asinh.f64 x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (fma.f64 x x (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) x))) (log.f64 (+.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(/.f64 (-.f64 (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) x)) (+.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (- x -1) x)
#s(approx (- x -1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 5/128 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 5/128 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))

eval25.0ms (0.9%)

Memory
-18.1MiB live, 28.9MiB allocated; 1ms collecting garbage
Compiler

Compiled 1 511 to 645 computations (57.3% saved)

prune5.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1350135
Fresh000
Picked022
Done055
Total1357142
Accuracy
100.0%
Counts
142 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.4%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
28.2%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
25.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
12.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
9.2%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x)))
99.9%
(asinh.f64 x)
49.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Compiler

Compiled 101 to 90 computations (10.9% saved)

regimes9.0ms (0.3%)

Memory
-30.1MiB live, 17.5MiB allocated; 1ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
(asinh.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(asinh.f64 x)
Calls

3 calls:

3.0ms
x
2.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.9%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
99.9%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.9%1x
Compiler

Compiled 14 to 14 computations (0% saved)

regimes5.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
Calls

3 calls:

2.0ms
x
1.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
75.7%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
75.7%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
76.2%2x
Compiler

Compiled 14 to 14 computations (0% saved)

regimes4.0ms (0.2%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
Calls

3 calls:

2.0ms
x
1.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
56.8%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
56.8%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
57.3%2x
Compiler

Compiled 14 to 14 computations (0% saved)

regimes1.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x)))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x)))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
57.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
49.9%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
49.9%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
49.9%1x
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch17.0ms (0.6%)

Memory
-21.3MiB live, 32.9MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
0.1559069849092138
93511280095.24768
Samples
8.0ms160×0valid
Compiler

Compiled 172 to 189 computations (-9.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-hypot: 3.0ms (64.6% of total)
ival-log: 2.0ms (43.1% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch6.0ms (0.2%)

Memory
16.1MiB live, 16.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
0.1559069849092138
93511280095.24768
Samples
3.0ms64×0valid
Compiler

Compiled 192 to 209 computations (-8.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-log: 1.0ms (53% of total)
ival-hypot: 1.0ms (53% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch10.0ms (0.3%)

Memory
-17.9MiB live, 29.0MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.1559069849092138
93511280095.24768
Samples
4.0ms80×0valid
Compiler

Compiled 202 to 219 computations (-8.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-log: 1.0ms (40.4% of total)
ival-hypot: 1.0ms (40.4% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations131.0ms (4.4%)

Memory
-19.1MiB live, 219.4MiB allocated; 7ms collecting garbage
Stop Event
done
Compiler

Compiled 37 to 30 computations (18.9% saved)

preprocess43.0ms (1.5%)

Memory
10.0MiB live, 107.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 62 to 51 computations (17.7% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...