Rust f32::acosh

Time bar (total: 833.0ms)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample455.0ms (54.6%)

Memory
3.9MiB live, 328.2MiB allocated; 170ms collecting garbage
Samples
325.0ms8 255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-acosh: 216.0ms (99.6% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess57.0ms (6.8%)

Memory
-19.4MiB live, 23.3MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1169
2639
31629
44559
523209
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.0%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Compiler

Compiled 14 to 14 computations (0% saved)

series6.0ms (0.7%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Counts
7 → 39
Calls
Call 1
Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary32 -1))
#s(approx (- (* x x) 1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 1) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Calls

3 calls:

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

rewrite77.0ms (9.3%)

Memory
22.4MiB live, 75.9MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199962
0206704
01439669
13848669
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
46 → 68
Calls
Call 1
Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary32 -1))
#s(approx (- (* x x) 1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 1) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Outputs
(acosh.f32 x)
(log.f32 (fabs.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(/.f32 (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(-.f32 x (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
x
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (+.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal -1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 x x)
(pow.f32 (fabs.f32 x) #s(literal 2 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 x x))
#s(literal 1 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 x (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx x x)
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (- (* x x) 1) #s(literal -1 binary32))
#s(approx (- (* x x) 1) (fma.f32 x x #s(literal -1 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))
#s(approx (sqrt (- (* x x) 1)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))
#s(approx (sqrt (- (* x x) 1)) (*.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 1 binary32)) x))
#s(approx (sqrt (- (* x x) 1)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))
#s(approx (- (* x x) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
#s(approx (sqrt (- (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (- (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
#s(approx (sqrt (- (* x x) 1)) (*.f32 (neg.f32 x) (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))

eval5.0ms (0.6%)

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

Compiled 685 to 326 computations (52.4% saved)

prune2.0ms (0.2%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New61364
Fresh000
Picked101
Done000
Total62365
Accuracy
100.0%
Counts
65 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶27.9%
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
▶98.1%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
▶99.2%
(acosh.f32 x)
Compiler

Compiled 31 to 25 computations (19.4% saved)

series25.0ms (3.1%)

Memory
-32.7MiB live, 13.1MiB allocated; 4ms collecting garbage
Counts
18 → 98
Calls
Call 1
Inputs
(acosh.f32 x)
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
(+.f32 x x)
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
(fma.f32 x x (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
Outputs
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx x #s(hole binary32 x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (+ x x) #s(hole binary32 (* 2 x)))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log (* -1 (sqrt -1))) (* -1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log (* -1 (sqrt -1))) (* x (+ (* -1 (sqrt -1)) (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (sqrt -1)))))))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log (* -1 (sqrt -1))) (* x (+ (* -1 (sqrt -1)) (* x (+ (* 1/6 (* x (+ (* -2 (pow (sqrt -1) 3)) (+ (* 6 (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3)))) (* 6 (/ (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3))))))) (sqrt -1))))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (sqrt -1))))))))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* -1 (sqrt -1))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (+ (* -1 (sqrt -1)) (* x (pow (sqrt -1) 2)))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (+ (* -1 (sqrt -1)) (* x (- (* -1 (* x (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))) (* -1 (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (+ (* -1 (sqrt -1)) (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))))))) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))) (* -1 (pow (sqrt -1) 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow x 3) #s(hole binary32 (pow x 3)))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (* x x) -1) #s(hole binary32 -1))
#s(approx (+ (* x x) -1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (- (* -1 (* x (sqrt -1))) 1)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (- (* x (- (* 2 x) (sqrt -1))) 1)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (- (* x (- (* x (+ 2 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))) 1)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (* x (- x (sqrt -1))) 1)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (* x (- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))) 1)))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* x (sqrt -1))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* x (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* x (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* x (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* 2 (pow x 3))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* (pow x 3) (- 2 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) -1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 -1/2))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (* 1/8 (/ 1 (pow x 2))) 1/2)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) 1/2)))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* (pow x 2) (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* 3/2 x)))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* -1 (* x (- (* 3/8 (/ 1 (pow x 2))) 3/2)))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (* 3/8 (/ 1 (pow x 2)))) 3/2)))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) 3/2)))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (pow x 3))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* 3 (pow x 2))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* 2 (pow x 2))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* (pow x 2) (- 2 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* (pow x 2) (+ 2 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* (pow x 2) (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* -1 (pow x 2))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 1))))
Calls

3 calls:

TimeVariablePointExpression
18.0ms
x
@0
((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (pow x 3) 3 (pow (sqrt (+ (* x x) -1)) 3) (sqrt (+ (* x x) -1)) (+ (* x x) -1) -1 (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))
3.0ms
x
@inf
((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (pow x 3) 3 (pow (sqrt (+ (* x x) -1)) 3) (sqrt (+ (* x x) -1)) (+ (* x x) -1) -1 (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))
3.0ms
x
@-inf
((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (pow x 3) 3 (pow (sqrt (+ (* x x) -1)) 3) (sqrt (+ (* x x) -1)) (+ (* x x) -1) -1 (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))

rewrite92.0ms (11%)

Memory
7.0MiB live, 50.4MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04863223
05103180
112543180
Stop Event
1×saturated
1×iter-limit
1×unsound
1×iter-limit
Counts
116 → 118
Calls
Call 1
Inputs
(acosh.f32 x)
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
(+.f32 x x)
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
(fma.f32 x x (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx x #s(hole binary32 x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (+ x x) #s(hole binary32 (* 2 x)))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log (* -1 (sqrt -1))) (* -1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log (* -1 (sqrt -1))) (* x (+ (* -1 (sqrt -1)) (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (sqrt -1)))))))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log (* -1 (sqrt -1))) (* x (+ (* -1 (sqrt -1)) (* x (+ (* 1/6 (* x (+ (* -2 (pow (sqrt -1) 3)) (+ (* 6 (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3)))) (* 6 (/ (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3))))))) (sqrt -1))))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (sqrt -1))))))))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* -1 (sqrt -1))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (+ (* -1 (sqrt -1)) (* x (pow (sqrt -1) 2)))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (+ (* -1 (sqrt -1)) (* x (- (* -1 (* x (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))) (* -1 (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (+ (* -1 (sqrt -1)) (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))))))) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))) (* -1 (pow (sqrt -1) 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow x 3) #s(hole binary32 (pow x 3)))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (* x x) -1) #s(hole binary32 -1))
#s(approx (+ (* x x) -1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (- (* -1 (* x (sqrt -1))) 1)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (- (* x (- (* 2 x) (sqrt -1))) 1)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (- (* x (- (* x (+ 2 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))) 1)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (* x (- x (sqrt -1))) 1)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (* x (- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))) 1)))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* x (sqrt -1))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* x (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* x (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* x (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* 2 (pow x 3))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* (pow x 3) (- 2 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) -1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 -1/2))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (* 1/8 (/ 1 (pow x 2))) 1/2)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) 1/2)))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* (pow x 2) (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* 3/2 x)))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* -1 (* x (- (* 3/8 (/ 1 (pow x 2))) 3/2)))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (* 3/8 (/ 1 (pow x 2)))) 3/2)))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) 3/2)))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (pow x 3))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* 3 (pow x 2))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* 2 (pow x 2))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* (pow x 2) (- 2 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* (pow x 2) (+ 2 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* (pow x 2) (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* -1 (pow x 2))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1))))
#s(approx (* x (sqrt (+ (* x x) -1))) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 1))))
Outputs
(acosh.f32 x)
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
(+.f32 x x)
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
#s(literal -1 binary32)
(fma.f32 x x (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(+.f32 (*.f32 x x) (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
#s(approx (acosh x) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (acosh x) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (acosh x) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (acosh x) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx x x)
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))))
#s(approx (+ x x) (*.f32 #s(literal 2 binary32) x))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (log.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal -1 binary32) (*.f32 x (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x (fma.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 #s(literal -1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x (fma.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (fma.f32 #s(literal 1/6 binary32) (*.f32 x (fma.f32 #s(literal -2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 6 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))))) (sqrt.f32 #s(literal -1 binary32))))))) (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))))))))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (*.f32 #s(literal -1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (-.f32 (*.f32 x (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))))))) (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (*.f32 #s(literal -1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 3/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 x (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 9/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (pow x 3) (pow.f32 x #s(literal 3 binary32)))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 9/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 9/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -3/2 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 9/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (sqrt (+ (* x x) -1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (sqrt (+ (* x x) -1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (sqrt (+ (* x x) -1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (+ (* x x) -1) #s(literal -1 binary32))
#s(approx (+ (* x x) -1) (-.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (-.f32 (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (-.f32 (*.f32 x (-.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (-.f32 (*.f32 x (-.f32 x (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (-.f32 (*.f32 x (-.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)))
#s(approx (* x (sqrt (+ (* x x) -1))) (*.f32 x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (* x (sqrt (+ (* x x) -1))) (*.f32 x (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (* x (sqrt (+ (* x x) -1))) (*.f32 x (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))))
#s(approx (* x (sqrt (+ (* x x) -1))) (*.f32 x (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
#s(approx (acosh x) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (acosh x) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/32 binary32) (*.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (* x x) -1) (pow.f32 x #s(literal 2 binary32)))
#s(approx (+ (* x x) -1) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (-.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1/2 binary32)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (*.f32 #s(literal 5/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) #s(literal 1/2 binary32)))
#s(approx (* x (sqrt (+ (* x x) -1))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (* x (sqrt (+ (* x x) -1))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (*.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 5/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) x)))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 #s(literal 3/2 binary32) x))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 3/2 binary32)))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) #s(literal 3/2 binary32)))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (*.f32 #s(literal 3/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) #s(literal 3/2 binary32)))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 #s(literal -1 binary32) x))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 #s(literal 3 binary32) (pow.f32 x #s(literal 2 binary32))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 3 binary32) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (* x (sqrt (+ (* x x) -1))) (*.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 2 binary32))))
#s(approx (* x (sqrt (+ (* x x) -1))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1 binary32))))
#s(approx (* x (sqrt (+ (* x x) -1))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1 binary32))))
#s(approx (* x (sqrt (+ (* x x) -1))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) #s(literal 1 binary32))))

eval10.0ms (1.2%)

Memory
21.1MiB live, 21.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 514 to 774 computations (69.2% saved)

prune2.0ms (0.3%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1011102
Fresh000
Picked123
Done000
Total1023105
Accuracy
100.0%
Counts
105 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶27.4%
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x #s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32)))))
✓98.1%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓99.2%
(acosh.f32 x)
Compiler

Compiled 37 to 31 computations (16.2% saved)

series11.0ms (1.4%)

Memory
-33.0MiB live, 10.5MiB allocated; 11ms collecting garbage
Counts
13 → 81
Calls
Call 1
Inputs
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x #s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x #s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32))))
(+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
(fma.f32 x x #s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
Outputs
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log (* -1 (sqrt -1))) (* -1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log (* -1 (sqrt -1))) (* x (+ (* -1 (sqrt -1)) (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (sqrt -1)))))))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log (* -1 (sqrt -1))) (* x (+ (* -1 (sqrt -1)) (* x (+ (* 1/6 (* x (+ (* -2 (pow (sqrt -1) 3)) (+ (* 6 (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3)))) (* 6 (/ (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3))))))) (sqrt -1))))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (sqrt -1))))))))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* -1 (sqrt -1))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (+ (* -1 (sqrt -1)) (* x (pow (sqrt -1) 2)))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (+ (* -1 (sqrt -1)) (* x (- (* -1 (* x (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))) (* -1 (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (+ (* -1 (sqrt -1)) (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))))))) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))) (* -1 (pow (sqrt -1) 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (sqrt -1)))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow x 3) #s(hole binary32 (pow x 3)))
#s(approx x #s(hole binary32 x))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (* x x) -1) #s(hole binary32 -1))
#s(approx (+ (* x x) -1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (- (* -1 (* x (sqrt -1))) 1)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (- (* x (- (* 2 x) (sqrt -1))) 1)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (- (* x (- (* x (+ 2 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))) 1)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (* x (- x (sqrt -1))) 1)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (* x (- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))) 1)))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* 2 x)))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* 2 (pow x 3))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* (pow x 3) (- 2 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) -1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 -1/2))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (* 1/8 (/ 1 (pow x 2))) 1/2)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) 1/2)))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (/ 1/2 x)))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* 3/2 x)))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* -1 (* x (- (* 3/8 (/ 1 (pow x 2))) 3/2)))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (* 3/8 (/ 1 (pow x 2)))) 3/2)))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) 3/2)))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (pow x 3))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* 3 (pow x 2))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* 2 (pow x 2))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* (pow x 2) (- 2 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* (pow x 2) (+ 2 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* (pow x 2) (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (pow x 3) x 3 (pow (sqrt (+ (* x x) -1)) 3) (sqrt (+ (* x x) -1)) (+ (* x x) -1) -1 (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) -1/2)
1.0ms
x
@inf
((log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (pow x 3) x 3 (pow (sqrt (+ (* x x) -1)) 3) (sqrt (+ (* x x) -1)) (+ (* x x) -1) -1 (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) -1/2)
1.0ms
x
@0
((log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (pow x 3) x 3 (pow (sqrt (+ (* x x) -1)) 3) (sqrt (+ (* x x) -1)) (+ (* x x) -1) -1 (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) -1/2)

rewrite57.0ms (6.8%)

Memory
12.0MiB live, 64.0MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04183274
04303203
110963203
Stop Event
1×saturated
1×iter-limit
1×unsound
1×iter-limit
Counts
94 → 96
Calls
Call 1
Inputs
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x #s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x #s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32))))
(+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
(fma.f32 x x #s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log (* -1 (sqrt -1))) (* -1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log (* -1 (sqrt -1))) (* x (+ (* -1 (sqrt -1)) (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (sqrt -1)))))))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log (* -1 (sqrt -1))) (* x (+ (* -1 (sqrt -1)) (* x (+ (* 1/6 (* x (+ (* -2 (pow (sqrt -1) 3)) (+ (* 6 (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3)))) (* 6 (/ (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3))))))) (sqrt -1))))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (sqrt -1))))))))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* -1 (sqrt -1))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (+ (* -1 (sqrt -1)) (* x (pow (sqrt -1) 2)))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (+ (* -1 (sqrt -1)) (* x (- (* -1 (* x (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))) (* -1 (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (+ (* -1 (sqrt -1)) (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))))))) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))) (* -1 (pow (sqrt -1) 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (sqrt -1)))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow x 3) #s(hole binary32 (pow x 3)))
#s(approx x #s(hole binary32 x))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (* x x) -1) #s(hole binary32 -1))
#s(approx (+ (* x x) -1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (- (* -1 (* x (sqrt -1))) 1)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (- (* x (- (* 2 x) (sqrt -1))) 1)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (- (* x (- (* x (+ 2 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))) 1)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (* x (- x (sqrt -1))) 1)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (* x (- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))) 1)))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* 2 x)))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* 2 (pow x 3))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* (pow x 3) (- 2 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) -1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 -1/2))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (* 1/8 (/ 1 (pow x 2))) 1/2)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (- (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) 1/2)))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (/ 1/2 x)))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* 3/2 x)))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* -1 (* x (- (* 3/8 (/ 1 (pow x 2))) 3/2)))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (* 3/8 (/ 1 (pow x 2)))) 3/2)))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) #s(hole binary32 (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) 3/2)))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (pow x 3))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) #s(hole binary32 (* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* 3 (pow x 2))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) #s(hole binary32 (* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* 2 (pow x 2))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* (pow x 2) (- 2 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* (pow x 2) (+ 2 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(hole binary32 (* (pow x 2) (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
Outputs
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x #s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x #s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32))))
(+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
#s(literal -1 binary32)
(fma.f32 x x #s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32)))
(+.f32 (*.f32 x x) #s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (log.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal -1 binary32) (*.f32 x (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x (fma.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 #s(literal -1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x (fma.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (fma.f32 #s(literal 1/6 binary32) (*.f32 x (fma.f32 #s(literal -2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 6 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))))) (sqrt.f32 #s(literal -1 binary32))))))) (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))))))))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (*.f32 #s(literal -1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (-.f32 (*.f32 x (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))))))) (fma.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (*.f32 #s(literal -1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 3/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 x (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 9/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (pow x 3) (pow.f32 x #s(literal 3 binary32)))
#s(approx x x)
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 9/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 9/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -3/2 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 9/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (sqrt (+ (* x x) -1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (sqrt (+ (* x x) -1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (sqrt (+ (* x x) -1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (+ (* x x) -1) #s(literal -1 binary32))
#s(approx (+ (* x x) -1) (-.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (-.f32 (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (-.f32 (*.f32 x (-.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (-.f32 (*.f32 x (-.f32 x (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (-.f32 (*.f32 x (-.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/32 binary32) (*.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (*.f32 #s(literal 2 binary32) x))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (*.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (* x x) -1) (pow.f32 x #s(literal 2 binary32)))
#s(approx (+ (* x x) -1) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (-.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1/2 binary32)))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (*.f32 #s(literal 5/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) #s(literal 1/2 binary32)))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (log (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))))) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (*.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))))))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) x))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)) x)))
#s(approx (/ (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 5/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) x)))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 #s(literal 3/2 binary32) x))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 3/2 binary32)))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) #s(literal 3/2 binary32)))))
#s(approx (+ (pow x 3) (pow (sqrt (+ (* x x) -1)) 3)) (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (*.f32 #s(literal 3/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) #s(literal 3/2 binary32)))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (pow (sqrt (+ (* x x) -1)) 3) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 #s(literal -1 binary32) x))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 #s(literal 3 binary32) (pow.f32 x #s(literal 2 binary32))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 3 binary32) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (* x x) (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))

eval8.0ms (0.9%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 970 to 598 computations (69.6% saved)

prune3.0ms (0.4%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done022
Total82385
Accuracy
100.0%
Counts
85 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓27.4%
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x #s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32)))))
✓98.1%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓99.2%
(acosh.f32 x)
Compiler

Compiled 90 to 71 computations (21.1% saved)

regimes8.0ms (1%)

Memory
-34.5MiB live, 11.8MiB allocated; 4ms collecting garbage
Accuracy

Total -23.2b remaining (-9596.4%)

Threshold costs -23.2b (-9596.4%)

Counts
5 → 1
Calls
Call 1
Inputs
(acosh.f32 x)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x #s(approx (- (* (sqrt (+ (* x x) -1)) (sqrt (+ (* x x) -1))) (* x (sqrt (+ (* x x) -1)))) #s(literal -1/2 binary32)))))
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
Outputs
(acosh.f32 x)
Calls

3 calls:

4.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms
x
2.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Results
AccuracySegmentsBranch
99.2%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
99.2%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
99.2%1x
Compiler

Compiled 14 to 14 computations (0% saved)

derivations4.0ms (0.4%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 2 to 2 computations (0% saved)

preprocess10.0ms (1.2%)

Memory
20.1MiB live, 20.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 19 to 18 computations (5.3% saved)

end0.0ms (0%)

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

Profiling

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