Rust f64::atanh

Time bar (total: 1.3s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 4 to 4 computations (0% saved)

sample532.0ms (41.3%)

Memory
44.5MiB live, 693.1MiB allocated; 193ms collecting garbage
Samples
372.0ms8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-atanh: 64.0ms (97.3% of total)
adjust: 1.0ms (1.5% of total)
Bogosity

preprocess77.0ms (6%)

Memory
-25.1MiB live, 70.3MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1177
2437
31097
43857
527947
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Symmetry

(negabs x)

Compiler

Compiled 18 to 18 computations (0% saved)

series7.0ms (0.5%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Counts
9 → 34
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* 2 x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (log -1)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 -2))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x) 2 x (- 1 x) 1)
2.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x) 2 x (- 1 x) 1)
2.0ms
x
@0
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x) 2 x (- 1 x) 1)

rewrite230.0ms (17.9%)

Memory
-0.8MiB live, 231.3MiB allocated; 114ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157679
0163644
1982629
08510607
Stop Event
iter-limit
node-limit
iter-limit
Counts
43 → 89
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* 2 x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (log -1)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 -2))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Outputs
(*.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))))
(log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
#s(literal 2 binary64)
x
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(neg.f64 (+.f64 x #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (* 2 x) (- 1 x)) (+.f64 x x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (* 2 x) (+.f64 x x))
#s(approx x x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (log.f64 #s(literal -1 binary64)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -2 binary64) x)) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 2/5 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) x))) (log.f64 #s(literal -1 binary64))))
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary64))
#s(approx (/ (* 2 x) (- 1 x)) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)))
#s(approx (/ (* 2 x) (- 1 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)))
#s(approx (/ (* 2 x) (- 1 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2/5 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) x)))
#s(approx (/ (* 2 x) (- 1 x)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))

eval8.0ms (0.7%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 734 to 405 computations (44.8% saved)

prune5.0ms (0.4%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New77683
Fresh000
Picked101
Done000
Total78684
Accuracy
100.0%
Counts
84 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(*.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
99.7%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
7.7%
(log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
99.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
99.3%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
Compiler

Compiled 132 to 132 computations (0% saved)

series23.0ms (1.8%)

Memory
1.0MiB live, 47.2MiB allocated; 4ms collecting garbage
Counts
21 → 109
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))
(+.f64 x x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/3 binary64)
(log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(*.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 x))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* 2 x)))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 x))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/2 x))))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 1))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 2))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 x))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (* 2 x)))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (log -1)))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 -2))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary64 (* 1/3 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 (* 1/3 (pow x 2))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (- (log (sqrt -1)) (/ 1 (* x (* (sqrt -1) (sqrt -1)))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))) (pow x 2)))) (/ 1 (* x (* (sqrt -1) (sqrt -1)))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 2 (+ (* 2 (/ 1 (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -1) (sqrt -1)))))) (* (sqrt -1) (sqrt -1)))) (* -3 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (* (sqrt -1) (pow (sqrt -1) 2)))))) (* 2 (/ 1 (* (pow (sqrt -1) 3) (pow (sqrt -1) 3))))) (pow x 3))) (* 1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))) (pow x 2))))) (/ 1 (* x (* (sqrt -1) (sqrt -1)))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (- (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (- (+ (sqrt -1) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1))))) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (+ (* 2 (/ 1 (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -1) (sqrt -1)))))) (* (pow x 3) (sqrt -1)))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))))) (/ 1 (* x (sqrt -1))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 -1))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (* -1 (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (/ -2 x)))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (log -1)))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))) x)) (/ 1 (* (sqrt -1) (sqrt -1)))) x)))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* 3 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (* (sqrt -1) (pow (sqrt -1) 2))))) (+ (* 3 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1))))) (* (sqrt -1) (sqrt -1)))) (* 2 (/ 1 (* (pow (sqrt -1) 3) (pow (sqrt -1) 3)))))) x)) (* 1/2 (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))))) x)) (/ 1 (* (sqrt -1) (sqrt -1)))) x)))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1))))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) 1/2 (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) x (- 1 x) 1 (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* x x) 1/3 (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (+ (* x (/ 2 (- 1 x))) 1) (/ 2 (- 1 x)) 2 (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) (log (+ (* x (/ 2 (- 1 x))) 1)))
8.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) 1/2 (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) x (- 1 x) 1 (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* x x) 1/3 (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (+ (* x (/ 2 (- 1 x))) 1) (/ 2 (- 1 x)) 2 (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) (log (+ (* x (/ 2 (- 1 x))) 1)))
5.0ms
x
@0
((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) 1/2 (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) x (- 1 x) 1 (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* x x) 1/3 (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (+ (* x (/ 2 (- 1 x))) 1) (/ 2 (- 1 x)) 2 (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) (log (+ (* x (/ 2 (- 1 x))) 1)))

rewrite39.0ms (3%)

Memory
2.1MiB live, 47.5MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03862745
04082693
Stop Event
iter-limit
iter-limit
unsound
iter-limit
Counts
130 → 133
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))
(+.f64 x x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/3 binary64)
(log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(*.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 x))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* 2 x)))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 x))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/2 x))))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 1))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 2))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 x))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (* 2 x)))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (log -1)))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 -2))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary64 (* 1/3 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 (* 1/3 (pow x 2))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (- (log (sqrt -1)) (/ 1 (* x (* (sqrt -1) (sqrt -1)))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))) (pow x 2)))) (/ 1 (* x (* (sqrt -1) (sqrt -1)))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 2 (+ (* 2 (/ 1 (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -1) (sqrt -1)))))) (* (sqrt -1) (sqrt -1)))) (* -3 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (* (sqrt -1) (pow (sqrt -1) 2)))))) (* 2 (/ 1 (* (pow (sqrt -1) 3) (pow (sqrt -1) 3))))) (pow x 3))) (* 1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))) (pow x 2))))) (/ 1 (* x (* (sqrt -1) (sqrt -1)))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (- (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (- (+ (sqrt -1) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1))))) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (+ (* 2 (/ 1 (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -1) (sqrt -1)))))) (* (pow x 3) (sqrt -1)))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))))) (/ 1 (* x (sqrt -1))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 -1))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (* -1 (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (/ -2 x)))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (log -1)))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))) x)) (/ 1 (* (sqrt -1) (sqrt -1)))) x)))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* 3 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (* (sqrt -1) (pow (sqrt -1) 2))))) (+ (* 3 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1))))) (* (sqrt -1) (sqrt -1)))) (* 2 (/ 1 (* (pow (sqrt -1) 3) (pow (sqrt -1) 3)))))) x)) (* 1/2 (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))))) x)) (/ 1 (* (sqrt -1) (sqrt -1)))) x)))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1))))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))
(+.f64 x x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/3 binary64)
(log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(*.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (*.f64 #s(literal 2/7 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (/ (+ x x) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ x x) (- 1 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ x x) (- 1 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))
#s(approx (/ (+ x x) (- 1 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) x)
#s(approx (* (+ (* (* x x) 1/3) 1) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* (* x x) 1/3) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/3) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) x)
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 2 binary64))))))))
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#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) x))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) x) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) x))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64)))
#s(approx (/ 2 (- 1 x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 2 (- 1 x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) x))) x)))
#s(approx (* (log (+ (* x (/ 2 (- 1 x))) 1)) 1/2) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (* x (/ 2 (- 1 x))) 1)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x))))

eval23.0ms (1.8%)

Memory
-16.4MiB live, 33.9MiB allocated; 17ms collecting garbage
Compiler

Compiled 1 873 to 591 computations (68.4% saved)

prune5.0ms (0.4%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1442146
Fresh101
Picked055
Done000
Total1457152
Accuracy
100.0%
Counts
152 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(*.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
99.7%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))))
7.7%
(log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
7.7%
(log.f64 (sqrt.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
99.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
99.3%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
Compiler

Compiled 74 to 74 computations (0% saved)

series18.0ms (1.4%)

Memory
-7.4MiB live, 39.7MiB allocated; 3ms collecting garbage
Counts
18 → 92
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
x
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (+.f64 x x) #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 x x) #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 x x)
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 x))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/2 x))))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 1))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (* 2 x)))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 2))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 x))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* 2 x)))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* x (- (/ 1 x) 1)) #s(hole binary64 1))
#s(approx (* x (- (/ 1 x) 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (- (log (sqrt -1)) (/ 1 (* x (* (sqrt -1) (sqrt -1)))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))) (pow x 2)))) (/ 1 (* x (* (sqrt -1) (sqrt -1)))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 2 (+ (* 2 (/ 1 (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -1) (sqrt -1)))))) (* (sqrt -1) (sqrt -1)))) (* -3 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (* (sqrt -1) (pow (sqrt -1) 2)))))) (* 2 (/ 1 (* (pow (sqrt -1) 3) (pow (sqrt -1) 3))))) (pow x 3))) (* 1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))) (pow x 2))))) (/ 1 (* x (* (sqrt -1) (sqrt -1)))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (- (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (- (+ (sqrt -1) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1))))) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (+ (* 2 (/ 1 (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -1) (sqrt -1)))))) (* (pow x 3) (sqrt -1)))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))))) (/ 1 (* x (sqrt -1))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 -1))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (* -1 (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 -2))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (/ -2 x)))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (log -1)))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 -2))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (* x (- (/ 1 x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (* x (- (/ 1 x) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))) x)) (/ 1 (* (sqrt -1) (sqrt -1)))) x)))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* 3 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (* (sqrt -1) (pow (sqrt -1) 2))))) (+ (* 3 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1))))) (* (sqrt -1) (sqrt -1)))) (* 2 (/ 1 (* (pow (sqrt -1) 3) (pow (sqrt -1) 3)))))) x)) (* 1/2 (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))))) x)) (/ 1 (* (sqrt -1) (sqrt -1)))) x)))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1))))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))
#s(approx (* x (- (/ 1 x) 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (+ (* x (/ 2 (- 1 x))) 1) (* x (/ 2 (- 1 x))) x (/ 2 (- 1 x)) 2 (- 1 x) 1 (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) 1/2 (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (- 1 x) (* x (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))
6.0ms
x
@-inf
((log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (+ (* x (/ 2 (- 1 x))) 1) (* x (/ 2 (- 1 x))) x (/ 2 (- 1 x)) 2 (- 1 x) 1 (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) 1/2 (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (- 1 x) (* x (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))
4.0ms
x
@0
((log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (+ (* x (/ 2 (- 1 x))) 1) (* x (/ 2 (- 1 x))) x (/ 2 (- 1 x)) 2 (- 1 x) 1 (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) 1/2 (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (- 1 x) (* x (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

rewrite39.0ms (3.1%)

Memory
9.5MiB live, 55.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03552286
03732196
Stop Event
iter-limit
iter-limit
unsound
iter-limit
Counts
110 → 112
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
x
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (+.f64 x x) #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 x x) #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 x x)
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 x))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/2 x))))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 1))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (* 2 x)))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 2))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 x))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* 2 x)))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* x (- (/ 1 x) 1)) #s(hole binary64 1))
#s(approx (* x (- (/ 1 x) 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (- (log (sqrt -1)) (/ 1 (* x (* (sqrt -1) (sqrt -1)))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))) (pow x 2)))) (/ 1 (* x (* (sqrt -1) (sqrt -1)))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 2 (+ (* 2 (/ 1 (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -1) (sqrt -1)))))) (* (sqrt -1) (sqrt -1)))) (* -3 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (* (sqrt -1) (pow (sqrt -1) 2)))))) (* 2 (/ 1 (* (pow (sqrt -1) 3) (pow (sqrt -1) 3))))) (pow x 3))) (* 1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))) (pow x 2))))) (/ 1 (* x (* (sqrt -1) (sqrt -1)))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (- (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (- (+ (sqrt -1) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1))))) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (+ (* 2 (/ 1 (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -1) (sqrt -1)))))) (* (pow x 3) (sqrt -1)))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))))) (/ 1 (* x (sqrt -1))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 -1))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (* -1 (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 -2))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (/ -2 x)))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (log -1)))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 -2))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (* x (- (/ 1 x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (* x (- (/ 1 x) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))) x)) (/ 1 (* (sqrt -1) (sqrt -1)))) x)))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* 3 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (* (sqrt -1) (pow (sqrt -1) 2))))) (+ (* 3 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1))))) (* (sqrt -1) (sqrt -1)))) (* 2 (/ 1 (* (pow (sqrt -1) 3) (pow (sqrt -1) 3)))))) x)) (* 1/2 (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1)))) (/ 1 (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)))))) x)) (/ 1 (* (sqrt -1) (sqrt -1)))) x)))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (sqrt -1) (sqrt -1))))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
#s(approx (* x (/ 2 (- 1 x))) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))))
#s(approx (/ 2 (- 1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))
#s(approx (* x (- (/ 1 x) 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Outputs
(log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
x
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (+.f64 x x) #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))))
(/.f64 (+.f64 x x) #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 x x)
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) x)
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (+.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(literal 1 binary64))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (* x (/ 2 (- 1 x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (* x (/ 2 (- 1 x))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
#s(approx (* x (/ 2 (- 1 x))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))
#s(approx (* x (/ 2 (- 1 x))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))))
#s(approx x x)
#s(approx (/ 2 (- 1 x)) #s(literal 2 binary64))
#s(approx (/ 2 (- 1 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ 2 (- 1 x)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (/ 2 (- 1 x)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (*.f64 #s(literal 2/7 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (/ (+ x x) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ x x) (- 1 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ x x) (- 1 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))
#s(approx (/ (+ x x) (- 1 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* x (- (/ 1 x) 1)) #s(literal 1 binary64))
#s(approx (* x (- (/ 1 x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) 1) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) #s(literal -1 binary64))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (/ 2 (- 1 x))) #s(literal -2 binary64))
#s(approx (* x (/ 2 (- 1 x))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (/ 2 (- 1 x))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)))
#s(approx (* x (/ 2 (- 1 x))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 2 (- 1 x)) (/.f64 #s(literal -2 binary64) x))
#s(approx (/ 2 (- 1 x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))
#s(approx (/ 2 (- 1 x)) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) x))
#s(approx (/ 2 (- 1 x)) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (log.f64 #s(literal -1 binary64)))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
#s(approx (/ (+ x x) (- 1 x)) #s(literal -2 binary64))
#s(approx (/ (+ x x) (- 1 x)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ x x) (- 1 x)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)))
#s(approx (/ (+ x x) (- 1 x)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (- (/ 1 x) 1)) (*.f64 #s(literal -1 binary64) x))
#s(approx (* x (- (/ 1 x) 1)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (/ 1 x) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) x))))
#s(approx (log (sqrt (+ (* x (/ 2 (- 1 x))) 1))) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) x) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) x))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))))
#s(approx (sqrt (+ (* x (/ 2 (- 1 x))) 1)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))))
#s(approx (+ (* x (/ 2 (- 1 x))) 1) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64)))
#s(approx (* x (/ 2 (- 1 x))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 2 binary64)))
#s(approx (/ 2 (- 1 x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 2 (- 1 x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) x))) x)))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x))))
#s(approx (/ (+ x x) (- 1 x)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 2 binary64)))
#s(approx (* x (- (/ 1 x) 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))

eval15.0ms (1.1%)

Memory
-3.6MiB live, 35.6MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 340 to 544 computations (59.4% saved)

prune5.0ms (0.4%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New94094
Fresh000
Picked022
Done055
Total947101
Accuracy
100.0%
Counts
101 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(*.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
99.7%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))))
7.7%
(log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
7.7%
(log.f64 (sqrt.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
99.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
99.3%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
Compiler

Compiled 141 to 124 computations (12.1% saved)

regimes25.0ms (2%)

Memory
-7.5MiB live, 38.9MiB allocated; 20ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
(log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
Calls

4 calls:

16.0ms
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
3.0ms
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
3.0ms
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
100.0%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
100.0%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
100.0%1x
Compiler

Compiled 23 to 23 computations (0% saved)

regimes24.0ms (1.9%)

Memory
-6.6MiB live, 29.8MiB allocated; 23ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
(log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
Calls

4 calls:

18.0ms
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms
x
Results
AccuracySegmentsBranch
99.6%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
99.6%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.6%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.6%1x
Compiler

Compiled 23 to 23 computations (0% saved)

regimes4.0ms (0.3%)

Memory
19.3MiB live, 19.2MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
Calls

4 calls:

1.0ms
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
1.0ms
x
Results
AccuracySegmentsBranch
99.3%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
99.3%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.3%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.3%1x
Compiler

Compiled 23 to 23 computations (0% saved)

derivations91.0ms (7.1%)

Memory
9.9MiB live, 98.7MiB allocated; 24ms collecting garbage
Stop Event
done
Compiler

Compiled 29 to 23 computations (20.7% saved)

preprocess116.0ms (9%)

Memory
-31.0MiB live, 113.4MiB allocated; 61ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 108 to 102 computations (5.6% saved)

end0.0ms (0%)

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

Profiling

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