Hyperbolic arc-(co)tangent

Time bar (total: 4.6s)

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB 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 14 to 11 computations (21.4% saved)

sample3.8s (81.6%)

Memory
250.8MiB live, 3 102.0MiB allocated; 1.6s collecting garbage
Samples
1.7s3 368×2valid
1.7s4 732×1valid
8.0ms156×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 3.1s
ival-log: 2.1s (67.5% of total)
adjust: 460.0ms (14.9% of total)
ival-add!: 172.0ms (5.6% of total)
ival-div!: 154.0ms (5% of total)
ival-mult!: 143.0ms (4.6% of total)
ival-sub!: 75.0ms (2.4% of total)
Bogosity

preprocess94.0ms (2%)

Memory
-37.8MiB live, 55.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01732
15629
21557
35617
436347
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Symmetry

(negabs x)

Compiler

Compiled 22 to 18 computations (18.2% saved)

series6.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
9 → 37
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(-.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 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) (- 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) (- 1 x))) #s(hole binary64 (* 2 x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (/ (+ 1 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 (/ (+ 1 x) (- 1 x)) #s(hole binary64 1))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 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 x) (- 1 x)))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 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) (- 1 x))) #s(hole binary64 (log -1)))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 -1))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (* -1 (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 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 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) (- 1 x))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (/ 1 2) 1 2 (log (/ (+ 1 x) (- 1 x))) (/ (+ 1 x) (- 1 x)) (+ 1 x) x (- 1 x))
2.0ms
x
@inf
((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (/ 1 2) 1 2 (log (/ (+ 1 x) (- 1 x))) (/ (+ 1 x) (- 1 x)) (+ 1 x) x (- 1 x))
1.0ms
x
@0
((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (/ 1 2) 1 2 (log (/ (+ 1 x) (- 1 x))) (/ (+ 1 x) (- 1 x)) (+ 1 x) x (- 1 x))

rewrite186.0ms (4%)

Memory
-7.9MiB live, 135.0MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165692
0172653
11025628
08516576
Stop Event
iter-limit
node-limit
iter-limit
Counts
46 → 111
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(-.f64 #s(literal 1 binary64) x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 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) (- 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) (- 1 x))) #s(hole binary64 (* 2 x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (/ (+ 1 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 (/ (+ 1 x) (- 1 x)) #s(hole binary64 1))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 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 x) (- 1 x)))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 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) (- 1 x))) #s(hole binary64 (log -1)))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 -1))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (* -1 (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 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 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) (- 1 x))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Outputs
(*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.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)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) x) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.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) (-.f64 (*.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) (-.f64 (*.f64 x x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 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 (*.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(/.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 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))
(-.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(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) x)
#s(approx (* (/ 1 2) (log (/ (+ 1 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 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 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 x) (- 1 x))) (+.f64 x x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (/ (+ 1 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 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 (/ (+ 1 x) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ 1 x) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ 1 x) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ 1 x) (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (-.f64 x #s(literal -1 binary64)))
#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 x) (- 1 x)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 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 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 x) (- 1 x))) (log.f64 #s(literal -1 binary64)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))))
#s(approx (log (/ (+ 1 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 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 (/ (+ 1 x) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ 1 x) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ 1 x) (- 1 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (+ 1 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 -1 binary64))))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (-.f64 x #s(literal -1 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 x) (- 1 x)))) (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (/ (+ 1 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 (neg.f64 x) x)) #s(literal 2 binary64)) x)))
#s(approx (/ (+ 1 x) (- 1 x)) (-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x)) x) #s(literal 1 binary64)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))

eval11.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 966 to 515 computations (46.7% saved)

prune5.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1005105
Fresh000
Picked101
Done000
Total1015106
Accuracy
100.0%
Counts
106 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))
7.7%
(*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
7.7%
(log.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
99.6%
#s(approx (* (/ 1 2) (log (/ (+ 1 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 x) (- 1 x)))) x)
Compiler

Compiled 130 to 114 computations (12.3% saved)

series47.0ms (1%)

Memory
-31.5MiB live, 66.1MiB allocated; 13ms collecting garbage
Counts
27 → 171
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (log (/ (+ 1 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)
x
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) x)
(log.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64))))
(log.f64 (-.f64 x #s(literal -1 binary64)))
(*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 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) (- 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 x #s(hole binary64 x))
#s(approx (log (sqrt (/ (- x -1) (- 1 x)))) #s(hole binary64 x))
#s(approx (log (sqrt (/ (- x -1) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (log (sqrt (/ (- x -1) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (log (sqrt (/ (- x -1) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (sqrt (/ (- x -1) (- 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- x -1) (- 1 x))) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (/ (- x -1) (- 1 x))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (sqrt (/ (- x -1) (- 1 x))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/2 x))))))))
#s(approx (/ (- x -1) (- 1 x)) #s(hole binary64 1))
#s(approx (/ (- x -1) (- 1 x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (/ (- x -1) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (/ (- x -1) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (log (/ (- x -1) (- 1 x))) 1/2) #s(hole binary64 x))
#s(approx (* (log (/ (- x -1) (- 1 x))) 1/2) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (log (/ (- x -1) (- 1 x))) 1/2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (log (/ (- x -1) (- 1 x))) 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 -1) (- 1 x))) #s(hole binary64 (* 2 x)))
#s(approx (log (/ (- x -1) (- 1 x))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (/ (- x -1) (- 1 x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (/ (- x -1) (- 1 x))) #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 (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x))))) #s(hole binary64 x))
#s(approx (* (/ 1 2) (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (/ 1 2) (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (/ 1 2) (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 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 (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x)))) #s(hole binary64 (* 2 x)))
#s(approx (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x)))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) #s(hole binary64 (* -2 (pow x 3))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) #s(hole binary64 (* (pow x 3) (- (* -5/3 (pow x 2)) 2))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (- (* -7/5 (pow x 2)) 5/3)) 2))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (- (* (pow x 2) (- (* -761/630 (pow x 2)) 7/5)) 5/3)) 2))))
#s(approx (* (log (- x -1)) (log (- x -1))) #s(hole binary64 (pow x 2)))
#s(approx (* (log (- x -1)) (log (- x -1))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (* (log (- x -1)) (log (- x -1))) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))))
#s(approx (* (log (- x -1)) (log (- x -1))) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))))
#s(approx (log (- x -1)) #s(hole binary64 x))
#s(approx (log (- x -1)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (- x -1)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (- x -1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) #s(hole binary64 (pow x 2)))
#s(approx (* (log (- 1 x)) (log (- 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 x))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (* x (+ 1 (* 11/12 x)))))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 11/12 (* 5/6 x)))))))))
#s(approx (log (- 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (log (- 1 x)) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (log (- 1 x)) #s(hole binary64 (* x (- (* x (- (* -1/3 x) 1/2)) 1))))
#s(approx (log (- 1 x)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) #s(hole binary64 (* (pow x 2) (- (* -1/2 (pow x 2)) 1))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 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 -1) (- 1 x)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (sqrt (/ (- x -1) (- 1 x)))) #s(hole binary64 (- (log (sqrt -1)) (/ 1 (* x (* (sqrt -1) (sqrt -1)))))))
#s(approx (log (sqrt (/ (- x -1) (- 1 x)))) #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 -1) (- 1 x)))) #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 -1) (- 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- x -1) (- 1 x))) #s(hole binary64 (- (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- x -1) (- 1 x))) #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 -1) (- 1 x))) #s(hole binary64 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (+ (* 2 (/ 1 (* (sqrt -1) (sqrt -1)))) (/ 1 (* (sqrt -1) (* (sqrt -1) (pow (sqrt -1) 2)))))) (* (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 -1) (- 1 x)) #s(hole binary64 -1))
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#s(approx (* (log (- x -1)) (log (- x -1))) #s(hole binary64 (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))
#s(approx (* (log (- x -1)) (log (- x -1))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))
#s(approx (* (log (- x -1)) (log (- x -1))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))
#s(approx (log (- x -1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (- x -1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (- x -1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
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#s(approx (* (log (- 1 x)) (log (- 1 x))) #s(hole binary64 (pow (log (/ -1 x)) 2)))
#s(approx (* (log (- 1 x)) (log (- 1 x))) #s(hole binary64 (+ (* 2 (/ (log (/ -1 x)) x)) (pow (log (/ -1 x)) 2))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (log (/ -1 x))) x))) x)) (pow (log (/ -1 x)) 2))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (log (/ -1 x)) (* -1 (/ (- (* -2/3 (log (/ -1 x))) 1) x)))) x))) x)) (pow (log (/ -1 x)) 2))))
#s(approx (log (- 1 x)) #s(hole binary64 (* -1 (log (/ -1 x)))))
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#s(approx (log (- 1 x)) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))))
#s(approx (log (- 1 x)) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) #s(hole binary64 (+ (log -1) (* -2 (log (/ -1 x))))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) #s(hole binary64 (- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) #s(hole binary64 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) #s(hole binary64 (- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* x x) x 1/3 1 (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (sqrt (/ (- x -1) (- 1 x)))) (sqrt (/ (- x -1) (- 1 x))) (/ (- x -1) (- 1 x)) (- x -1) -1 (- 1 x) (* (log (/ (- x -1) (- 1 x))) 1/2) (log (/ (- x -1) (- 1 x))) 1/2 (* (/ 1 2) (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x))))) (/ 1 2) 2 (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x)))) (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x)) (+ (log (- x -1)) (log (- 1 x))))
12.0ms
x
@inf
((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* x x) x 1/3 1 (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (sqrt (/ (- x -1) (- 1 x)))) (sqrt (/ (- x -1) (- 1 x))) (/ (- x -1) (- 1 x)) (- x -1) -1 (- 1 x) (* (log (/ (- x -1) (- 1 x))) 1/2) (log (/ (- x -1) (- 1 x))) 1/2 (* (/ 1 2) (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x))))) (/ 1 2) 2 (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x)))) (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x)) (+ (log (- x -1)) (log (- 1 x))))
10.0ms
x
@0
((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* x x) x 1/3 1 (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (sqrt (/ (- x -1) (- 1 x)))) (sqrt (/ (- x -1) (- 1 x))) (/ (- x -1) (- 1 x)) (- x -1) -1 (- 1 x) (* (log (/ (- x -1) (- 1 x))) 1/2) (log (/ (- x -1) (- 1 x))) 1/2 (* (/ 1 2) (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x))))) (/ 1 2) 2 (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x)))) (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x)) (+ (log (- x -1)) (log (- 1 x))))

rewrite110.0ms (2.4%)

Memory
68.1MiB live, 141.7MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08807265
09157147
Stop Event
iter-limit
iter-limit
unsound
iter-limit
Counts
198 → 199
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (log (/ (+ 1 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)
x
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) x)
(log.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
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#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)))
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#s(approx (log (sqrt (/ (- x -1) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
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#s(approx (sqrt (/ (- x -1) (- 1 x))) #s(hole binary64 (+ 1 x)))
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#s(approx (sqrt (/ (- x -1) (- 1 x))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/2 x))))))))
#s(approx (/ (- x -1) (- 1 x)) #s(hole binary64 1))
#s(approx (/ (- x -1) (- 1 x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (/ (- x -1) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (/ (- x -1) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (log (/ (- x -1) (- 1 x))) 1/2) #s(hole binary64 x))
#s(approx (* (log (/ (- x -1) (- 1 x))) 1/2) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
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#s(approx (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x)))) #s(hole binary64 (* 2 x)))
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#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) #s(hole binary64 (* -2 (pow x 3))))
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#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (- (* (pow x 2) (- (* -761/630 (pow x 2)) 7/5)) 5/3)) 2))))
#s(approx (* (log (- x -1)) (log (- x -1))) #s(hole binary64 (pow x 2)))
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#s(approx (log (- x -1)) #s(hole binary64 x))
#s(approx (log (- x -1)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (- x -1)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
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#s(approx (log (- 1 x)) #s(hole binary64 (* x (- (* x (- (* -1/3 x) 1/2)) 1))))
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#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary64 (* 1/3 (pow x 3))))
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#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 -1) (- 1 x)))) #s(hole binary64 (log (sqrt -1))))
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#s(approx (log (- x -1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) #s(hole binary64 (pow (log (/ -1 x)) 2)))
#s(approx (* (log (- 1 x)) (log (- 1 x))) #s(hole binary64 (+ (* 2 (/ (log (/ -1 x)) x)) (pow (log (/ -1 x)) 2))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (log (/ -1 x))) x))) x)) (pow (log (/ -1 x)) 2))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (log (/ -1 x)) (* -1 (/ (- (* -2/3 (log (/ -1 x))) 1) x)))) x))) x)) (pow (log (/ -1 x)) 2))))
#s(approx (log (- 1 x)) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (- 1 x)) #s(hole binary64 (- (* -1 (log (/ -1 x))) (/ 1 x))))
#s(approx (log (- 1 x)) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))))
#s(approx (log (- 1 x)) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) #s(hole binary64 (+ (log -1) (* -2 (log (/ -1 x))))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) #s(hole binary64 (- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) #s(hole binary64 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) #s(hole binary64 (- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))))
Outputs
#s(approx (* (/ 1 2) (log (/ (+ 1 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)
x
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) x)
(log.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64))))
(log.f64 (-.f64 x #s(literal -1 binary64)))
(*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) x)
#s(approx (* (/ 1 2) (log (/ (+ 1 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) (- 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) (- 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 x x)
#s(approx (log (sqrt (/ (- x -1) (- 1 x)))) x)
#s(approx (log (sqrt (/ (- x -1) (- 1 x)))) (*.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 -1) (- 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 (log (sqrt (/ (- x -1) (- 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 (sqrt (/ (- x -1) (- 1 x))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- x -1) (- 1 x))) (+.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (/ (- x -1) (- 1 x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (sqrt (/ (- x -1) (- 1 x))) (+.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 -1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (- x -1) (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x -1) (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (- x -1) (- 1 x)) (+.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 -1) #s(literal 1 binary64))
#s(approx (- x -1) (+.f64 #s(literal 1 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 (* (log (/ (- x -1) (- 1 x))) 1/2) x)
#s(approx (* (log (/ (- x -1) (- 1 x))) 1/2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (log (/ (- x -1) (- 1 x))) 1/2) (*.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 (/ (- x -1) (- 1 x))) 1/2) (*.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 (/ (- x -1) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (log (/ (- x -1) (- 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 (/ (- x -1) (- 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 (/ (- x -1) (- 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 (* (/ 1 2) (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x))))) x)
#s(approx (* (/ 1 2) (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 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 (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 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 (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 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 (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 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 (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 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 (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 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 (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -5/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -7/5 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -761/630 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 7/5 binary64))) #s(literal 5/3 binary64))) #s(literal 2 binary64))))
#s(approx (* (log (- x -1)) (log (- x -1))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (log (- x -1)) (log (- x -1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (* (log (- x -1)) (log (- x -1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 11/12 binary64) x) #s(literal 1 binary64))))))
#s(approx (* (log (- x -1)) (log (- x -1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -5/6 binary64) x))) #s(literal 1 binary64))))))
#s(approx (log (- x -1)) x)
#s(approx (log (- x -1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (log (- x -1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (log (- x -1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (log (- 1 x)) (log (- 1 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* (log (- 1 x)) (log (- 1 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 11/12 binary64) x))))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal 5/6 binary64) x))))))))
#s(approx (log (- 1 x)) (*.f64 #s(literal -1 binary64) x))
#s(approx (log (- 1 x)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (log (- 1 x)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (log (- 1 x)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (* (/ 1 2) (log (/ (+ 1 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) (- 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) (- 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 (* (+ (* (* x x) 1/3) 1) x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* (* x x) 1/3) 1) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x x) 1/3) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (sqrt (/ (- x -1) (- 1 x)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
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#s(approx (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal -2/3 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) x))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) x))) (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) x) (/.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (-.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (log.f64 (/.f64 #s(literal -1 binary64) x))) x))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) x))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (log (- x -1)) (log (- x -1))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (* (log (- x -1)) (log (- x -1))) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))
#s(approx (* (log (- x -1)) (log (- x -1))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) x) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))
#s(approx (* (log (- x -1)) (log (- x -1))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x)))) x))) x) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))
#s(approx (log (- x -1)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (log (- x -1)) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (- x -1)) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)))))
#s(approx (log (- x -1)) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x)))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
#s(approx (* (log (- 1 x)) (log (- 1 x))) (fma.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) x) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) x))) x) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) x)))) x))) x) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (log (- 1 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (- 1 x)) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (- 1 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
#s(approx (log (- 1 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))

eval30.0ms (0.6%)

Memory
-17.4MiB live, 26.3MiB allocated; 9ms collecting garbage
Compiler

Compiled 5 055 to 1 269 computations (74.9% saved)

prune5.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2021203
Fresh000
Picked145
Done000
Total2035208
Accuracy
100.0%
Counts
208 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
2.3%
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))
7.7%
(log.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
99.6%
#s(approx (* (/ 1 2) (log (/ (+ 1 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 x) (- 1 x)))) x)
Compiler

Compiled 64 to 56 computations (12.5% saved)

series50.0ms (1.1%)

Memory
-28.3MiB live, 28.3MiB allocated; 52ms collecting garbage
Counts
14 → 106
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64))))
(log.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (* 1/2 (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x))))) #s(hole binary64 x))
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Calls

3 calls:

TimeVariablePointExpression
37.0ms
x
@inf
((* 1/2 (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x))))) 1/2 (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x)))) (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x)) (- 1 x) 1 (+ (log (- x -1)) (log (- 1 x))))
7.0ms
x
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3.0ms
x
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rewrite192.0ms (4.2%)

Memory
15.8MiB live, 150.8MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06185456
06384665
142724196
084274126
Stop Event
iter-limit
node-limit
iter-limit
Counts
120 → 180
Calls
Call 1
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#s(approx (/ (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+ (log (- x -1)) (log (- 1 x)))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -2/3 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -2/3 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) (*.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -2 binary64))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))))) x)) (/.f64 (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))) (neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)))) (pow.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))) x)) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))) (*.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -2 binary64))) x)) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))))) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64))) x)) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))) (neg.f64 (log.f64 (neg.f64 x)))) x)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))))) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64))) x)) (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x))))))
#s(approx (- (* (log (- x -1)) (log (- x -1))) (* (log (- 1 x)) (log (- 1 x)))) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))))) (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) #s(literal -2/3 binary64) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2/3 binary64))) x)) (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) (neg.f64 (log.f64 (neg.f64 x)))) x)) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64)))) x)) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)))))
#s(approx (* (log (- x -1)) (log (- x -1))) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (log (- x -1)) (log (- x -1))) (fma.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) x) #s(literal 2 binary64) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (* (log (- x -1)) (log (- x -1))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))) #s(literal 1 binary64)) x)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))))) x)) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (* (log (- x -1)) (log (- x -1))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) #s(literal -2/3 binary64) #s(literal 1 binary64)) x)) (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) x)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))))) x)) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (log (- x -1)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
#s(approx (log (- x -1)) (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (- x -1)) (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (log (- x -1)) (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) (fma.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) x) #s(literal 2 binary64) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) (fma.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 1 binary64)) x))) x))))
#s(approx (* (log (- 1 x)) (log (- 1 x))) (fma.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2/3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 1 binary64)) x))) x))))
#s(approx (log (- 1 x)) (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))))
#s(approx (log (- 1 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (- 1 x)) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (log (- 1 x)) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) (-.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) (+.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) (log.f64 #s(literal -1 binary64))))
#s(approx (+ (log (- x -1)) (log (- 1 x))) (-.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))

eval15.0ms (0.3%)

Memory
23.2MiB live, 23.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 424 to 1 178 computations (73.4% saved)

prune13.0ms (0.3%)

Memory
-40.8MiB live, 11.1MiB allocated; 11ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1670167
Fresh000
Picked011
Done044
Total1675172
Accuracy
100.0%
Counts
172 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
2.3%
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))
7.7%
(log.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
99.6%
#s(approx (* (/ 1 2) (log (/ (+ 1 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 x) (- 1 x)))) x)
Compiler

Compiled 143 to 96 computations (32.9% saved)

regimes8.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
(log.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))
Outputs
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
Calls

4 calls:

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

Compiled 25 to 21 computations (16% saved)

regimes3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB 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 x) (- 1 x)))) x)
Outputs
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) x)
Calls

4 calls:

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

Compiled 25 to 21 computations (16% saved)

derivations53.0ms (1.1%)

Memory
-22.7MiB live, 23.7MiB allocated; 2ms collecting garbage
Stop Event
done
Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess17.0ms (0.4%)

Memory
25.6MiB live, 25.6MiB allocated; 0ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 83 to 75 computations (9.6% saved)

end0.0ms (0%)

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

Profiling

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