2log (problem 3.3.6)

Time bar (total: 2.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
100%3.2%0%96.8%0%0%0%1
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (52.2%)

Memory
40.0MiB live, 1 400.8MiB allocated; 413ms collecting garbage
Samples
1.1s7 471×1valid
31.0ms784×0valid
0.0ms1×2valid
Precisions
Click to see histograms. Total time spent on operations: 939.0ms
ival-log1p: 376.0ms (40% of total)
ival-log: 306.0ms (32.6% of total)
adjust: 218.0ms (23.2% of total)
ival-sub!: 39.0ms (4.2% of total)
Bogosity

preprocess47.0ms (1.8%)

Memory
8.4MiB live, 53.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01223
12123
24419
315018
4111118
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶24.9%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series69.0ms (2.6%)

Memory
-38.8MiB live, 67.4MiB allocated; 41ms collecting garbage
Counts
6 → 27
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ N 1)) #s(hole binary64 N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)))))
Calls

3 calls:

TimeVariablePointExpression
50.0ms
N
@0
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
11.0ms
N
@inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
7.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite168.0ms (6.3%)

Memory
39.3MiB live, 127.2MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112475
0117416
1634392
06160327
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
33 → 75
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ N 1)) #s(hole binary64 N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log1p.f64 N)
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) N)))
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(-.f64 (log.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (log.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(log.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(*.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 N (*.f64 (/.f64 #s(literal -1 binary64) N) N))
(-.f64 N (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) N)))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(*.f64 (log.f64 N) #s(literal 1 binary64))
(*.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 N)))
(*.f64 #s(literal 1 binary64) (log.f64 N))
(neg.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 N))))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ N 1)) N)
#s(approx (log (+ N 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (log N) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (log (+ N 1)) (log.f64 N))
#s(approx (log (+ N 1)) (+.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) N)))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (log.f64 N)))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N) (log.f64 N)))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal -1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ N 1)) (-.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) N)))
#s(approx (log (+ N 1)) (-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
#s(approx (log (+ N 1)) (-.f64 (log.f64 N) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)))

eval13.0ms (0.5%)

Memory
-34.7MiB live, 17.3MiB allocated; 8ms collecting garbage
Compiler

Compiled 1 121 to 272 computations (75.7% saved)

prune5.0ms (0.2%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New63770
Fresh000
Picked101
Done000
Total64771
Accuracy
99.9%
Counts
71 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
▶99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶27.7%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶94.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
95.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N))
▶92.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶83.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 230 to 156 computations (32.2% saved)

series7.0ms (0.3%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Counts
21 → 41
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
(*.f64 N N)
Outputs
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ (+ 1/3 (pow N 2)) (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 (pow N 2))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
N
@-inf
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 (* N N))
2.0ms
N
@0
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 (* N N))
2.0ms
N
@inf
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 (* N N))

rewrite293.0ms (11%)

Memory
-5.3MiB live, 183.1MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174793
0193733
1922670
07936656
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
62 → 384
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
(*.f64 N N)
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ (+ 1/3 (pow N 2)) (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 (pow N 2))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(/.f64 (/.f64 N (fabs.f64 N)) (fabs.f64 N))
(/.f64 (/.f64 N (neg.f64 N)) (neg.f64 N))
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 N (*.f64 N N))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(exp.f64 (neg.f64 (log.f64 N)))
#s(literal 1 binary64)
N
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (neg.f64 N))
(/.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 N))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (fabs.f64 N)) (fabs.f64 N))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (neg.f64 N)) (neg.f64 N))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1/2 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (neg.f64 N))
(/.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64)))) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) N))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal 1/8 binary64)) (*.f64 (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64))) (*.f64 N N)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) N)
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
(neg.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N) #s(literal 1 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N)))
(neg.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (neg.f64 N) N)))
(neg.f64 (/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (*.f64 N N)))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
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(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 N N) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N) (*.f64 (*.f64 N N) N)) (*.f64 (*.f64 N N) N))
(/.f64 (fma.f64 (*.f64 N N) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) (*.f64 (*.f64 (*.f64 N N) N) N))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 N) N #s(literal -1/3 binary64))) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) (*.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 N N)))
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))))
(/.f64 (fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (*.f64 N N) (-.f64 (*.f64 N N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 N N)))
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))))
(/.f64 (fma.f64 (neg.f64 N) N #s(literal -1/3 binary64)) (*.f64 (neg.f64 N) N))
(/.f64 (fma.f64 N N #s(literal 1/3 binary64)) (*.f64 N N))
(neg.f64 (/.f64 (fma.f64 N N #s(literal 1/3 binary64)) (*.f64 (neg.f64 N) N)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 N) N #s(literal -1/3 binary64)) (*.f64 N N)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) N) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 N N)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)))
(*.f64 (/.f64 #s(literal -1/3 binary64) N) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) N))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 N N)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 N)) (fabs.f64 N))
(/.f64 #s(literal -2/3 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (*.f64 N N)))
(/.f64 (/.f64 #s(literal -1/3 binary64) N) (neg.f64 N))
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 N) N))
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N)
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 N N)))
#s(literal 1/3 binary64)
(*.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)))
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 N N)
(pow.f64 (fabs.f64 N) #s(literal 2 binary64))
(pow.f64 (neg.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 N) N))
(fabs.f64 (*.f64 N N))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- 1 (/ 1/2 N)) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (- 1 (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (/ (- N -1) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)))
#s(approx (- (/ 1/3 (* N N)) -1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)))
#s(approx (* N N) (*.f64 N N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) N))
#s(approx (- 1 (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (/ (- N -1) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)))
#s(approx (- (/ 1/3 (* N N)) -1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal -1 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))

eval69.0ms (2.6%)

Memory
-7.4MiB live, 38.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 8 646 to 1 546 computations (82.1% saved)

prune14.0ms (0.5%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New3748382
Fresh112
Picked145
Done000
Total37613389
Accuracy
100.0%
Counts
389 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
▶99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
✓99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶99.3%
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
✓27.7%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
91.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
91.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓92.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
94.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N))
▶83.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓83.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶92.0%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
▶94.3%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
Compiler

Compiled 382 to 262 computations (31.4% saved)

series112.0ms (4.2%)

Memory
-3.3MiB live, 138.4MiB allocated; 25ms collecting garbage
Counts
22 → 43
Calls
Call 1
Inputs
(log1p.f64 (/.f64 N (*.f64 N N)))
(/.f64 N (*.f64 N N))
N
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
(*.f64 (*.f64 N N) N)
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ N (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ 1/2 (* N N)) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2)))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (log (+ 1 (pow (pow N -1/2) 2)))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (pow (pow N -1/2) 2)))
#s(approx (pow N -1/2) #s(hole binary64 (pow N -1/2)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (log (+ 1 (pow (pow (/ 1 N) 1/2) 2)))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (pow (pow (/ 1 N) 1/2) 2)))
#s(approx (pow N -1/2) #s(hole binary64 (pow (/ 1 N) 1/2)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
Calls

3 calls:

TimeVariablePointExpression
49.0ms
N
@-inf
((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) 1/3 (* (* N N) N) (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) -1/2)
35.0ms
N
@0
((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) 1/3 (* (* N N) N) (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) -1/2)
27.0ms
N
@inf
((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) 1/3 (* (* N N) N) (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) -1/2)

rewrite57.0ms (2.1%)

Memory
-6.0MiB live, 39.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0185872
0207756
0953736
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
65 → 119
Calls
Call 1
Inputs
(log1p.f64 (/.f64 N (*.f64 N N)))
(/.f64 N (*.f64 N N))
N
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
(*.f64 (*.f64 N N) N)
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ N (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ 1/2 (* N N)) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2)))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (log (+ 1 (pow (pow N -1/2) 2)))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (pow (pow N -1/2) 2)))
#s(approx (pow N -1/2) #s(hole binary64 (pow N -1/2)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (log (+ 1 (pow (pow (/ 1 N) 1/2) 2)))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (pow (pow (/ 1 N) 1/2) 2)))
#s(approx (pow N -1/2) #s(hole binary64 (pow (/ 1 N) 1/2)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
Outputs
(log1p.f64 (/.f64 N (*.f64 N N)))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (*.f64 N N))))
(/.f64 (/.f64 N N) N)
(/.f64 (neg.f64 N) (neg.f64 (*.f64 N N)))
(/.f64 N (*.f64 N N))
N
(*.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 N N)
(pow.f64 N #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) N))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1/2 binary64) N) N)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 N N)))
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
(/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)) N)
(/.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (neg.f64 (*.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))
(+.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))) (-.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)))))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal 1/2 binary64))))
(+.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal 1/8 binary64)) (fma.f64 N N (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal 1/2 binary64)))))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
(*.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)))
(*.f64 (*.f64 N N) N)
(*.f64 N (*.f64 N N))
(pow.f64 N #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64)))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
#s(approx (log (+ 1 (/ N (* N N)))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (/ N (* N N)))) (+.f64 (neg.f64 (log.f64 N)) N))
#s(approx (log (+ 1 (/ N (* N N)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (log (+ 1 (/ N (* N N)))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (/ N (* N N)) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (* N N) (*.f64 N N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ 1/2 (* N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (- N 1/2) N) 1/3) (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)))
#s(approx (+ (* (- N 1/2) N) 1/3) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)))
#s(approx (- N 1/2) #s(literal -1/2 binary64))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (* (* N N) N) (*.f64 (*.f64 N N) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
#s(approx (* (pow N -1/2) (pow N -1/2)) (/.f64 #s(literal 1 binary64) N))
#s(approx (pow N -1/2) (pow.f64 N #s(literal -1/2 binary64)))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (*.f64 N N)))
#s(approx (- N 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (log.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
#s(approx (* (pow N -1/2) (pow N -1/2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))))
#s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))
#s(approx (log (+ 1 (/ N (* N N)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ N (* N N)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ N (* N N)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal -1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (*.f64 N N) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) #s(literal 1 binary64))))
#s(approx (- N 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))

eval11.0ms (0.4%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 790 to 485 computations (82.6% saved)

prune44.0ms (1.7%)

Memory
-31.7MiB live, 15.7MiB allocated; 2ms collecting garbage
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New1092111
Fresh134
Picked145
Done044
Total11113124
Accuracy
100.0%
Counts
124 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
▶94.1%
(log1p.f64 (/.f64 N (exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))))
✓99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶99.2%
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))))
✓27.7%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶91.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
▶91.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓92.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶94.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N))
✓83.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓83.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓92.0%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
✓94.3%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
Compiler

Compiled 290 to 210 computations (27.6% saved)

series68.0ms (2.6%)

Memory
-2.3MiB live, 101.5MiB allocated; 26ms collecting garbage
Counts
33 → 67
Calls
Call 1
Inputs
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))))
(*.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))))
#s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N))
(/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N)
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
(fma.f64 N N #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(log1p.f64 (/.f64 N (exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 N (exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))
(*.f64 (log.f64 N) #s(literal 2 binary64))
(log.f64 N)
#s(literal 2 binary64)
Outputs
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (log (+ 1 (pow (pow N -1/2) 2)))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (pow (pow N -1/2) 2)))
#s(approx (pow N -1/2) #s(hole binary64 (pow N -1/2)))
#s(approx (sqrt (/ 1 N)) #s(hole binary64 (/ (sqrt N) N)))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ -1/3 (pow N 2))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ (- (* 1/2 N) 1/3) (pow N 2))))
#s(approx (- 1/2 (/ 1/3 N)) #s(hole binary64 (/ -1/3 N)))
#s(approx (- 1/2 (/ 1/3 N)) #s(hole binary64 (/ (- (* 1/2 N) 1/3) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (* N N) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* N N) -1/4) #s(hole binary64 (- (pow N 2) 1/4)))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* 1/2 (pow N 2))))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1/2 N))))
#s(approx (- N -1/2) #s(hole binary64 1/2))
#s(approx (- N -1/2) #s(hole binary64 (+ 1/2 N)))
#s(approx (log (+ 1 (/ N (exp (* (log N) 2))))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ N (exp (* (log N) 2))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ N (exp (* (log N) 2))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (log N) 2) #s(hole binary64 (* 2 (log N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (log (+ 1 (pow (pow (/ 1 N) 1/2) 2)))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (pow (pow (/ 1 N) 1/2) 2)))
#s(approx (pow N -1/2) #s(hole binary64 (pow (/ 1 N) 1/2)))
#s(approx (sqrt (/ 1 N)) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (- 1/2 (/ 1/3 N)) #s(hole binary64 (- 1/2 (* 1/3 (/ 1 N)))))
#s(approx (+ (* N N) -1/4) #s(hole binary64 (* (pow N 2) (- 1 (* 1/4 (/ 1 (pow N 2)))))))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (- N -1/2) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (* (log N) 2) #s(hole binary64 (* -2 (log (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (log (+ 1 (/ N (exp (* (log N) 2))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
Calls

3 calls:

TimeVariablePointExpression
32.0ms
N
@-inf
((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) (sqrt (/ 1 N)) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (+ (* N N) -1/4) -1/4 (* (- N -1/2) (* N N)) (- N -1/2) -1/2 (log (+ 1 (/ N (exp (* (log N) 2))))) (/ N (exp (* (log N) 2))) (exp (* (log N) 2)) (* (log N) 2) (log N) 2)
19.0ms
N
@inf
((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) (sqrt (/ 1 N)) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (+ (* N N) -1/4) -1/4 (* (- N -1/2) (* N N)) (- N -1/2) -1/2 (log (+ 1 (/ N (exp (* (log N) 2))))) (/ N (exp (* (log N) 2))) (exp (* (log N) 2)) (* (log N) 2) (log N) 2)
16.0ms
N
@0
((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) (sqrt (/ 1 N)) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (+ (* N N) -1/4) -1/4 (* (- N -1/2) (* N N)) (- N -1/2) -1/2 (log (+ 1 (/ N (exp (* (log N) 2))))) (/ N (exp (* (log N) 2))) (exp (* (log N) 2)) (* (log N) 2) (log N) 2)

rewrite53.0ms (2%)

Memory
29.0MiB live, 75.1MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02461287
02761153
011661121
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
100 → 169
Calls
Call 1
Inputs
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))))
(*.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))))
#s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N))
(/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N)
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
(fma.f64 N N #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(log1p.f64 (/.f64 N (exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 N (exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))
(*.f64 (log.f64 N) #s(literal 2 binary64))
(log.f64 N)
#s(literal 2 binary64)
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (log (+ 1 (pow (pow N -1/2) 2)))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (pow (pow N -1/2) 2)))
#s(approx (pow N -1/2) #s(hole binary64 (pow N -1/2)))
#s(approx (sqrt (/ 1 N)) #s(hole binary64 (/ (sqrt N) N)))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ -1/3 (pow N 2))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ (- (* 1/2 N) 1/3) (pow N 2))))
#s(approx (- 1/2 (/ 1/3 N)) #s(hole binary64 (/ -1/3 N)))
#s(approx (- 1/2 (/ 1/3 N)) #s(hole binary64 (/ (- (* 1/2 N) 1/3) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (* N N) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* N N) -1/4) #s(hole binary64 (- (pow N 2) 1/4)))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* 1/2 (pow N 2))))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1/2 N))))
#s(approx (- N -1/2) #s(hole binary64 1/2))
#s(approx (- N -1/2) #s(hole binary64 (+ 1/2 N)))
#s(approx (log (+ 1 (/ N (exp (* (log N) 2))))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ N (exp (* (log N) 2))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ N (exp (* (log N) 2))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (log N) 2) #s(hole binary64 (* 2 (log N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (log (+ 1 (pow (pow (/ 1 N) 1/2) 2)))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (pow (pow (/ 1 N) 1/2) 2)))
#s(approx (pow N -1/2) #s(hole binary64 (pow (/ 1 N) 1/2)))
#s(approx (sqrt (/ 1 N)) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (- 1/2 (/ 1/3 N)) #s(hole binary64 (- 1/2 (* 1/3 (/ 1 N)))))
#s(approx (+ (* N N) -1/4) #s(hole binary64 (* (pow N 2) (- 1 (* 1/4 (/ 1 (pow N 2)))))))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (- N -1/2) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (* (log N) 2) #s(hole binary64 (* -2 (log (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (log (+ 1 (/ N (exp (* (log N) 2))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
Outputs
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(log.f64 (fma.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 1 binary64)))
(*.f64 (fabs.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) (fabs.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(*.f64 (neg.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) (neg.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))
(pow.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 2 binary64))
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 N))
(sqrt.f64 (/.f64 #s(literal 1 binary64) N))
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64)))
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (neg.f64 (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal 1/8 binary64)) (fma.f64 N N (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) N))))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)))
(*.f64 N N)
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N))
(/.f64 (neg.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))) (neg.f64 N))
(/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N)
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
(-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal 1/3 binary64) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal 1/3 binary64) N) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N)))
(/.f64 (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (-.f64 N #s(literal -1/2 binary64))) (*.f64 N N))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1/4 binary64))) (neg.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N)))
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N))
(+.f64 (/.f64 (*.f64 N N) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal 1/16 binary64)) (-.f64 (*.f64 N N) #s(literal -1/4 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 N N) #s(literal 3 binary64)) #s(literal -1/64 binary64)) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 N N) #s(literal -1/4 binary64)))))
(fma.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)) #s(literal -1/4 binary64))
(fma.f64 (fabs.f64 N) (fabs.f64 N) #s(literal -1/4 binary64))
(fma.f64 (neg.f64 N) (neg.f64 N) #s(literal -1/4 binary64))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) #s(literal -1/4 binary64))
(fma.f64 N N #s(literal -1/4 binary64))
(+.f64 (*.f64 N N) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (*.f64 N N))
#s(literal -1/4 binary64)
(*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N)
(*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(*.f64 (*.f64 N N) (-.f64 N #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1/8 binary64)) (fma.f64 N N (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) N))))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (+.f64 N #s(literal -1/2 binary64)))
(-.f64 N #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(log1p.f64 (/.f64 N (*.f64 N N)))
(log.f64 (+.f64 (/.f64 N (*.f64 N N)) #s(literal 1 binary64)))
(/.f64 (neg.f64 N) (neg.f64 (*.f64 N N)))
(/.f64 N (*.f64 N N))
(*.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)))
(*.f64 N N)
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))
(*.f64 #s(literal 2 binary64) (log.f64 N))
(*.f64 (log.f64 N) #s(literal 2 binary64))
(+.f64 (log.f64 N) (log.f64 N))
(log.f64 (*.f64 N N))
(log.f64 N)
#s(literal 2 binary64)
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (pow N -1/2) (pow.f64 N #s(literal -1/2 binary64)))
#s(approx (sqrt (/ 1 N)) (/.f64 (sqrt.f64 N) N))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- N 1/2) #s(literal -1/2 binary64))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (* N N) (*.f64 N N))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N)))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) (/.f64 #s(literal -1/3 binary64) (*.f64 N N)))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)))
#s(approx (- 1/2 (/ 1/3 N)) (/.f64 #s(literal -1/3 binary64) N))
#s(approx (- 1/2 (/ 1/3 N)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64)) N))
#s(approx (/ 1/3 N) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (+ (* N N) -1/4) #s(literal -1/4 binary64))
#s(approx (+ (* N N) -1/4) (-.f64 (*.f64 N N) #s(literal 1/4 binary64)))
#s(approx (* (- N -1/2) (* N N)) (*.f64 (*.f64 N N) #s(literal 1/2 binary64)))
#s(approx (* (- N -1/2) (* N N)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))
#s(approx (- N -1/2) #s(literal 1/2 binary64))
#s(approx (- N -1/2) (+.f64 #s(literal 1/2 binary64) N))
#s(approx (log (+ 1 (/ N (exp (* (log N) 2))))) (+.f64 (neg.f64 (log.f64 N)) N))
#s(approx (log (+ 1 (/ N (exp (* (log N) 2))))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (log (+ 1 (/ N (exp (* (log N) 2))))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (* (log N) 2) (*.f64 #s(literal 2 binary64) (log.f64 N)))
#s(approx (log N) (log.f64 N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal 1 binary64))))
#s(approx (/ 1 N) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))
#s(approx (sqrt (/ 1 N)) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (- N 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
#s(approx (- 1/2 (/ 1/3 N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))
#s(approx (+ (* N N) -1/4) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (* (- N -1/2) (* N N)) (*.f64 (*.f64 N N) N))
#s(approx (* (- N -1/2) (* N N)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (- N -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
#s(approx (* (log N) 2) (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N))))
#s(approx (log N) (neg.f64 (neg.f64 (log.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal -1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (- N 1/2) (* N N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- N 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) #s(literal 1 binary64)))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)))
#s(approx (log (+ 1 (/ N (exp (* (log N) 2))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))

eval16.0ms (0.6%)

Memory
-18.7MiB live, 28.1MiB allocated; 1ms collecting garbage
Compiler

Compiled 3 430 to 678 computations (80.2% saved)

prune10.0ms (0.4%)

Memory
20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (2 fresh and 12 done)

PrunedKeptTotal
New1402142
Fresh000
Picked145
Done088
Total14114155
Accuracy
100.0%
Counts
155 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
✓94.1%
(log1p.f64 (/.f64 N (exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))))
✓99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
99.0%
(log1p.f64 (*.f64 #s(approx (pow N -1/2) #s(approx (sqrt (/ 1 N)) (/.f64 (sqrt.f64 N) N))) #s(approx (pow N -1/2) #s(approx (sqrt (/ 1 N)) (/.f64 (sqrt.f64 N) N)))))
✓27.7%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
✓91.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
83.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) #s(approx (* (- N -1/2) (* N N)) (*.f64 (*.f64 N N) N))))
✓91.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓92.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓94.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N))
✓83.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓83.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓92.0%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
✓94.3%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
Compiler

Compiled 580 to 274 computations (52.8% saved)

regimes31.0ms (1.2%)

Memory
-33.4MiB live, 13.4MiB allocated; 2ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) #s(approx (* (- N -1/2) (* N N)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N))
(log1p.f64 (/.f64 N (*.f64 N N)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(log1p.f64 (*.f64 #s(approx (pow N -1/2) #s(approx (sqrt (/ 1 N)) (/.f64 (sqrt.f64 N) N))) #s(approx (pow N -1/2) #s(approx (sqrt (/ 1 N)) (/.f64 (sqrt.f64 N) N)))))
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N))
(log1p.f64 (/.f64 N (exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))))
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

26.0ms
N
4.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.8%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.8%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.2%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
Outputs
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
97.9%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
97.9%2N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
92.1%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
92.1%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
91.8%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
91.8%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.2b remaining (-1.4%)

Threshold costs -0.2b (-1.4%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
83.6%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
83.6%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch11.0ms (0.4%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
141002.20724171423
317228.7015551499
Samples
7.0ms80×1valid
Compiler

Compiled 115 to 103 computations (10.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-log1p: 2.0ms (39.8% of total)
adjust: 1.0ms (19.9% of total)
ival-log: 1.0ms (19.9% of total)
ival-sub!: 0.0ms (0% of total)

derivations116.0ms (4.4%)

Memory
5.8MiB live, 103.2MiB allocated; 8ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 70 to 26 computations (62.9% saved)

preprocess47.0ms (1.8%)

Memory
-17.1MiB live, 75.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 114 to 60 computations (47.4% saved)

end0.0ms (0%)

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

Profiling

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