2log (problem 3.3.6)

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
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)

sample1.1s (39.2%)

Memory
19.1MiB live, 957.6MiB allocated; 194ms collecting garbage
Samples
841.0ms7 496×1valid
32.0ms760×0valid
Precisions
Click to see histograms. Total time spent on operations: 680.0ms
ival-log1p: 297.0ms (43.6% of total)
ival-log: 211.0ms (31% of total)
adjust: 135.0ms (19.8% of total)
ival-sub!: 37.0ms (5.4% of total)
Bogosity

preprocess57.0ms (2%)

Memory
1.4MiB live, 53.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01223
13320
28918
336218
4306918
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.7%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 12 to 12 computations (0% saved)

series54.0ms (1.9%)

Memory
-24.2MiB live, 66.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108451
Stop Event
iter-limit
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)) (*.f64 #s(literal -1 binary64) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N)))
#s(approx (log (+ N 1)) N)
#s(approx (log (+ N 1)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))))
#s(approx (log (+ N 1)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))))
#s(approx (log (+ N 1)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) N))) #s(literal 1/2 binary64))))))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) (+.f64 #s(literal 1 binary64) N))
#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) (/.f64 #s(literal 1 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
#s(approx (log (+ N 1)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))
#s(approx (log (+ N 1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) N)))
#s(approx (log (+ N 1)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 2 binary64)))))
#s(approx (log (+ N 1)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 2 binary64)))))
#s(approx (+ N 1) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #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 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N)) #s(literal 1/2 binary64)) N))) N)))
#s(approx (log (+ N 1)) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) N)))
#s(approx (log (+ N 1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))))
#s(approx (log (+ N 1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) N))))
Calls

3 calls:

TimeVariablePointExpression
29.0ms
N
@0
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
10.0ms
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))

rewrite99.0ms (3.5%)

Memory
20.4MiB live, 116.4MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01017
15417
213717
343717
4236717
0400913
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 248
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
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))) (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(log1p.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N)))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))) (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))))) (+.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))) (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))) (-.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)) (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (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)))) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) (log.f64 N))
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) N))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -2 binary64) #s(literal -2 binary64))) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 N) (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 N (neg.f64 N) (neg.f64 N))) (log.f64 (*.f64 N (neg.f64 N))))
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -2 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 (+.f64 #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 N N)))) (log.f64 (*.f64 (+.f64 N N) #s(literal -2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 N) (*.f64 (neg.f64 N) (+.f64 N N)))) (log.f64 (*.f64 (+.f64 N N) (neg.f64 N))))
(-.f64 (log.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 N N)))) (log.f64 (*.f64 (+.f64 N N) #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) N (*.f64 N (+.f64 N N)))) (log.f64 (*.f64 (+.f64 N N) N)))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 N)))) (log.f64 (*.f64 (neg.f64 N) #s(literal -2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))) (log.f64 (*.f64 (neg.f64 N) #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 N)))) (log.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 (neg.f64 N) (*.f64 N (neg.f64 N)))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) N))) (log.f64 (*.f64 N #s(literal -2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 N) (*.f64 (neg.f64 N) N))) (log.f64 (*.f64 N (neg.f64 N))))
(-.f64 (log.f64 (fma.f64 (neg.f64 N) (+.f64 N N) (*.f64 #s(literal 2 binary64) (neg.f64 N)))) (log.f64 (*.f64 (neg.f64 N) (+.f64 N N))))
(-.f64 (log.f64 (fma.f64 (neg.f64 N) N (*.f64 #s(literal 1 binary64) (neg.f64 N)))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (fma.f64 N (+.f64 N N) (+.f64 N N))) (log.f64 (*.f64 N (+.f64 N N))))
(-.f64 (log.f64 (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 N N) #s(literal -2 binary64)))) (log.f64 (*.f64 (+.f64 N N) #s(literal -2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 N) (*.f64 (+.f64 N N) (neg.f64 N)))) (log.f64 (*.f64 (+.f64 N N) (neg.f64 N))))
(-.f64 (log.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 N N) #s(literal 2 binary64)))) (log.f64 (*.f64 (+.f64 N N) #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) N (*.f64 (+.f64 N N) N))) (log.f64 (*.f64 (+.f64 N N) N)))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) #s(literal -2 binary64)))) (log.f64 (*.f64 (neg.f64 N) #s(literal -2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64)))) (log.f64 (*.f64 (neg.f64 N) #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) #s(literal 1 binary64)))) (log.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (+.f64 #s(literal -2 binary64) (*.f64 N #s(literal -2 binary64)))) (log.f64 (*.f64 N #s(literal -2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 N) (*.f64 N (neg.f64 N)))) (log.f64 (*.f64 N (neg.f64 N))))
(-.f64 (log.f64 (fma.f64 #s(literal -2 binary64) (+.f64 N N) #s(literal -4 binary64))) (log.f64 (*.f64 #s(literal -2 binary64) (+.f64 N N))))
(-.f64 (log.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal -2 binary64) (neg.f64 N))))
(-.f64 (log.f64 (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))) (log.f64 (*.f64 #s(literal -2 binary64) N)))
(-.f64 (log.f64 (fma.f64 (neg.f64 N) (+.f64 N N) (*.f64 (neg.f64 N) #s(literal 2 binary64)))) (log.f64 (*.f64 (neg.f64 N) (+.f64 N N))))
(-.f64 (log.f64 (fma.f64 (neg.f64 N) N (*.f64 (neg.f64 N) #s(literal 1 binary64)))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (+.f64 N N) #s(literal 4 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 N N))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 N) #s(literal -2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (neg.f64 N))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 N) #s(literal -1 binary64))) (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 N) #s(literal -1 binary64))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 N (*.f64 N (neg.f64 N)))) (log.f64 (*.f64 N N)))
(-.f64 (log.f64 (-.f64 (+.f64 N N) (*.f64 (+.f64 N N) (neg.f64 N)))) (log.f64 (*.f64 (+.f64 N N) N)))
(-.f64 (log.f64 (-.f64 (neg.f64 N) (*.f64 N N))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 N N) #s(literal -2 binary64)))) (log.f64 (*.f64 (+.f64 N N) #s(literal 2 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal -4 binary64) (*.f64 (+.f64 N N) #s(literal 2 binary64)))) (log.f64 (*.f64 (+.f64 N N) #s(literal -2 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal -2 binary64) (*.f64 (neg.f64 N) #s(literal -2 binary64)))) (log.f64 (*.f64 (neg.f64 N) #s(literal 2 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64)))) (log.f64 (*.f64 (neg.f64 N) #s(literal -2 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 2 binary64) (*.f64 N #s(literal -2 binary64)))) (log.f64 (+.f64 N N)))
(-.f64 (log.f64 (-.f64 #s(literal -2 binary64) (+.f64 N N))) (log.f64 (*.f64 N #s(literal -2 binary64))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal -2 binary64) N) #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal -2 binary64) N)))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal -2 binary64) (neg.f64 N)) #s(literal -2 binary64))) (log.f64 (*.f64 #s(literal -2 binary64) (neg.f64 N))))
(-.f64 (log.f64 (-.f64 (*.f64 (neg.f64 N) N) (*.f64 (neg.f64 N) #s(literal -1 binary64)))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 N)) #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (neg.f64 N))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 1 binary64))) (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 1 binary64))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 (*.f64 N (neg.f64 N)) N)) (log.f64 (*.f64 N (neg.f64 N))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) (log.f64 (*.f64 (+.f64 N N) #s(literal 2 binary64))))
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eval25.0ms (0.9%)

Memory
4.3MiB live, 49.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 891 to 943 computations (50.1% saved)

prune12.0ms (0.4%)

Memory
-25.6MiB live, 19.7MiB allocated; 4ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2638271
Fresh000
Picked101
Done000
Total2648272
Accuracy
99.9%
Counts
272 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.8%
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
25.1%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
24.6%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
93.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
86.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 188 to 176 computations (6.4% saved)

series16.0ms (0.6%)

Memory
30.6MiB live, 30.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01871080
Stop Event
iter-limit
Counts
27 → 52
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) (/.f64 #s(literal 1 binary64) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 N #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
#s(approx (log (+ 1 (/ 1 N))) (*.f64 #s(literal -1 binary64) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N))))
#s(approx (log (+ 1 (/ 1 N))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N)))))
#s(approx (log (+ 1 (/ 1 N))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))))))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N)))
#s(approx (/ (- 1 (* 1/2 (/ 1 N))) N) (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 1/2 (/ 1 N))) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64))))
#s(approx (- 1 (* 1/2 (/ 1 N))) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (- 1 (* 1/2 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (* 1/2 (/ 1 N)) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64)))) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 2 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64)))) (pow.f64 N #s(literal 2 binary64))))
#s(approx (+ 1 (/ 1/3 (pow N 2))) (/.f64 (+.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (pow.f64 N #s(literal 2 binary64))))
#s(approx (pow N 2) (pow.f64 N #s(literal 2 binary64)))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 2 binary64)))) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ 1 (pow N 3)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow N 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
#s(approx (- 1 (* 1/2 (/ 1 N))) #s(literal 1 binary64))
#s(approx (- 1 (* 1/2 (/ 1 N))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (+ 1 (/ 1/3 (pow N 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))))
#s(approx (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) N))
#s(approx (log (+ 1 (/ 1 N))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ 1 N))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ 1 N))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N)) #s(literal 1/2 binary64)) N))) N)))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N))) N))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
N
@0
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) 1/2 (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) (+ 1 (/ 1/3 (pow N 2))) (/ 1/3 (pow N 2)) 1/3 (pow N 2) 2 (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (* 1/4 (/ 1 (pow N 3))) 1/4 (/ 1 (pow N 3)) (pow N 3) 3)
3.0ms
N
@-inf
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) 1/2 (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) (+ 1 (/ 1/3 (pow N 2))) (/ 1/3 (pow N 2)) 1/3 (pow N 2) 2 (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (* 1/4 (/ 1 (pow N 3))) 1/4 (/ 1 (pow N 3)) (pow N 3) 3)
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 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) 1/2 (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) (+ 1 (/ 1/3 (pow N 2))) (/ 1/3 (pow N 2)) 1/3 (pow N 2) 2 (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (* 1/4 (/ 1 (pow N 3))) 1/4 (/ 1 (pow N 3)) (pow N 3) 3)

rewrite143.0ms (5%)

Memory
2.7MiB live, 189.2MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031228
048194
1275186
21149174
04285172
Stop Event
iter-limit
node-limit
iter-limit
Counts
27 → 915
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) (/.f64 #s(literal 1 binary64) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 N #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
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(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 N) N) N) #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 N) N) N)))
(/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N)))
(/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 N N) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 N N) N) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 N)) (/.f64 (/.f64 #s(literal -1 binary64) N) (fabs.f64 N)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 (/.f64 #s(literal 1 binary64) N) (fabs.f64 N)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 (*.f64 (*.f64 N N) N) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 N N) N) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 N (/.f64 #s(literal -3 binary64) #s(literal 2 binary64))) (pow.f64 N (/.f64 #s(literal -3 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 N)))
(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (/.f64 #s(literal -1 binary64) N) N))
(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) (*.f64 N N)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 N N)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (pow.f64 #s(literal 1 binary64) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))
(pow.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))
(pow.f64 N #s(literal -3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 2 binary64)) (*.f64 N #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (*.f64 (*.f64 N N) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 #s(literal 2 binary64) N))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 2 binary64) (*.f64 N N)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 N))
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 N) N) N) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 N) N) N)))
(/.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 (neg.f64 N) N))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N)
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 N N) N)))
(/.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 N N))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 N) N) N) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 N)) (/.f64 (/.f64 #s(literal -1 binary64) N) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 N)) (/.f64 (/.f64 #s(literal -1 binary64) N) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 (/.f64 #s(literal 1 binary64) N) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 (/.f64 #s(literal 1 binary64) N) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 N)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (/.f64 #s(literal -1 binary64) N) N) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (/.f64 #s(literal -1 binary64) N) N) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 N N) N)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal -3 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N)))
(*.f64 (pow.f64 N (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 N (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 N N) N))
(*.f64 (*.f64 (*.f64 N N) N) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64))
(*.f64 (*.f64 N N) (pow.f64 N #s(literal 1 binary64)))
(*.f64 (*.f64 N N) N)
(*.f64 N (*.f64 N N))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))
(pow.f64 N #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64)))
#s(literal 3 binary64)

eval186.0ms (6.5%)

Memory
-6.2MiB live, 238.8MiB allocated; 121ms collecting garbage
Compiler

Compiled 12 556 to 4 855 computations (61.3% saved)

prune31.0ms (1.1%)

Memory
-30.0MiB live, 67.1MiB allocated; 13ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1 166111 177
Fresh123
Picked325
Done000
Total1 170151 185
Accuracy
100.0%
Counts
1 185 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.1%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
99.3%
(log1p.f64 (*.f64 (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))
95.2%
(log1p.f64 (exp.f64 (*.f64 (log.f64 N) #s(literal -1 binary64))))
24.6%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (/.f64 (fma.f64 N N #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)))
93.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
95.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (fma.f64 N N #s(literal 1/3 binary64)) (*.f64 N #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) N)))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) N))
93.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 N N)))
93.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
86.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
93.5%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
93.5%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
Compiler

Compiled 325 to 321 computations (1.2% saved)

series108.0ms (3.8%)

Memory
41.1MiB live, 131.4MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02561267
Stop Event
iter-limit
Counts
31 → 66
Calls
Call 1
Inputs
(log1p.f64 (*.f64 (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
N
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64))
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) N))
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) N)
(+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
(*.f64 N N)
Outputs
#s(approx (log (+ 1 (* (pow N (/ -1 2)) (pow N (/ -1 2))))) (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
#s(approx (* (pow N (/ -1 2)) (pow N (/ -1 2))) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (pow N (/ -1 2)) (pow.f64 N #s(literal -1/2 binary64)))
#s(approx N N)
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N)))
#s(approx (/ (/ (- N 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ (/ (- N 1/2) N) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ (- N 1/2) N) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (/ (- N 1/2) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) 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 (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 #s(literal -2 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) N) #s(literal 2 binary64))))
#s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (*.f64 N (-.f64 (*.f64 #s(literal -8 binary64) N) #s(literal 4 binary64))) #s(literal 2 binary64))))
#s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (*.f64 N (-.f64 (*.f64 N (-.f64 (*.f64 #s(literal -16 binary64) N) #s(literal 8 binary64))) #s(literal 4 binary64))) #s(literal 2 binary64))))
#s(approx (/ (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) N) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) N) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) N) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- 1/3 (/ 1/4 N)) (/.f64 #s(literal -1/4 binary64) N))
#s(approx (- 1/3 (/ 1/4 N)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) N))
#s(approx (/ 1/4 N) (/.f64 #s(literal 1/4 binary64) N))
#s(approx (* N N) (pow.f64 N #s(literal 2 binary64)))
#s(approx (log (+ 1 (* (pow N (/ -1 2)) (pow N (/ -1 2))))) (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
#s(approx (* (pow N (/ -1 2)) (pow N (/ -1 2))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (pow N (/ -1 2)) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
#s(approx (/ (- N 1/2) N) #s(literal 1 binary64))
#s(approx (/ (- N 1/2) N) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (- N 1/2) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))))
#s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))))))
#s(approx (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 2 binary64))))) N))
#s(approx (/ (- 1/3 (/ 1/4 N)) (* N N)) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ (- 1/3 (/ 1/4 N)) (* N N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 2 binary64))))
#s(approx (- 1/3 (/ 1/4 N)) #s(literal 1/3 binary64))
#s(approx (- 1/3 (/ 1/4 N)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #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 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N)) #s(literal 1/2 binary64)) N))) N)))
#s(approx (/ (/ (- N 1/2) N) N) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N)))
#s(approx (- N 1/2) (*.f64 #s(literal -1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))))
#s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 #s(literal -1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N)) #s(literal 1 binary64)))))
#s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 #s(literal -1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)))) N)) #s(literal 1 binary64)))))
#s(approx (/ (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) N) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) N) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))))
#s(approx (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N))) N))))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N))) N)))
Calls

3 calls:

TimeVariablePointExpression
45.0ms
N
@-inf
((log (+ 1 (* (pow N (/ -1 2)) (pow N (/ -1 2))))) (* (pow N (/ -1 2)) (pow N (/ -1 2))) (pow N (/ -1 2)) N (/ -1 2) -1 2 (- (log (+ N 1)) (log N)) (/ (/ (- N 1/2) N) N) (/ (- N 1/2) N) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1 N) 1 (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- 1 (/ 1/2 N)))) (/ N (- 1 (/ 1/2 N))) (- (log (+ N 1)) (log N)) (/ (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) N) (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) (/ (- 1/3 (/ 1/4 N)) (* N N)) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 (* N N))
31.0ms
N
@0
((log (+ 1 (* (pow N (/ -1 2)) (pow N (/ -1 2))))) (* (pow N (/ -1 2)) (pow N (/ -1 2))) (pow N (/ -1 2)) N (/ -1 2) -1 2 (- (log (+ N 1)) (log N)) (/ (/ (- N 1/2) N) N) (/ (- N 1/2) N) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1 N) 1 (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- 1 (/ 1/2 N)))) (/ N (- 1 (/ 1/2 N))) (- (log (+ N 1)) (log N)) (/ (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) N) (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) (/ (- 1/3 (/ 1/4 N)) (* N N)) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 (* N N))
23.0ms
N
@inf
((log (+ 1 (* (pow N (/ -1 2)) (pow N (/ -1 2))))) (* (pow N (/ -1 2)) (pow N (/ -1 2))) (pow N (/ -1 2)) N (/ -1 2) -1 2 (- (log (+ N 1)) (log N)) (/ (/ (- N 1/2) N) N) (/ (- N 1/2) N) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1 N) 1 (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- 1 (/ 1/2 N)))) (/ N (- 1 (/ 1/2 N))) (- (log (+ N 1)) (log N)) (/ (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) N) (+ (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) 1) (- (/ (- 1/3 (/ 1/4 N)) (* N N)) (/ 1/2 N)) (/ (- 1/3 (/ 1/4 N)) (* N N)) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 (* N N))

rewrite169.0ms (5.9%)

Memory
-25.0MiB live, 253.5MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035216
057196
1302180
21433180
04635179
Stop Event
iter-limit
node-limit
iter-limit
Counts
31 → 1 938
Calls
Call 1
Inputs
(log1p.f64 (*.f64 (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
N
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64))
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) N))
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) N)
(+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
(*.f64 N N)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) (pow.f64 N #s(literal -1/2 binary64))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 N) #s(literal -1 binary64))) (log.f64 (neg.f64 N)))
(-.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))) (neg.f64 (neg.f64 (log.f64 N))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal -1 binary64))))
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 N)) #s(literal -1/4 binary64))) (*.f64 (neg.f64 N) (*.f64 N N)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)))) (*.f64 (neg.f64 N) (*.f64 N N)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))) (*.f64 (*.f64 N N) N))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 N)) #s(literal -1/4 binary64))) (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)))) (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N)))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 N)) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 N)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 N) (fabs.f64 N)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 N)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 N) N))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 N)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 N) (*.f64 N N)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 N)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 N N) N))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 N) (fabs.f64 N)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 N) N))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))) #s(literal 1 binary64)) (*.f64 N (*.f64 (neg.f64 N) N)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 N) (*.f64 N N)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 N N) N))
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) N)) (*.f64 (neg.f64 N) N))
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) #s(literal -1 binary64)) (*.f64 N (*.f64 (neg.f64 N) N)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 N) (*.f64 N N)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) #s(literal 1 binary64))) (*.f64 (neg.f64 N) N))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 N))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (fabs.f64 N))) (neg.f64 (fabs.f64 N)))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 N N)) (/.f64 #s(literal 1/4 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 (*.f64 N N) (/.f64 #s(literal 1/4 binary64) N)))) (neg.f64 (*.f64 (*.f64 (*.f64 N N) N) N)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 N) (*.f64 N N)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (neg.f64 (neg.f64 N)))
(/.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) #s(literal 1 binary64)) (*.f64 N (neg.f64 (neg.f64 N))))
(/.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) #s(literal 1 binary64)) (*.f64 N N))
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N)
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (fabs.f64 N)) (fabs.f64 N))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) (neg.f64 N))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 N N)) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 (*.f64 N N) (/.f64 #s(literal 1/4 binary64) N))) (*.f64 (*.f64 (*.f64 N N) N) N))
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (neg.f64 N))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))) (*.f64 (neg.f64 N) (*.f64 N N)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) N))
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (neg.f64 (neg.f64 N)))
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N (fabs.f64 N)))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N))
(/.f64 #s(literal 1 binary64) (/.f64 N (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 N) N) (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)))
(neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (/.f64 #s(literal -1/4 binary64) N) (*.f64 N N)))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 (/.f64 #s(literal -1/4 binary64) N) (*.f64 N N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) N) (neg.f64 N)) (*.f64 N #s(literal -1/4 binary64))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) N) (neg.f64 (neg.f64 N))) (*.f64 N #s(literal 1/4 binary64))) (*.f64 N (neg.f64 (neg.f64 N))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) N) N) (*.f64 N #s(literal 1/4 binary64))) (*.f64 N N))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 N)) #s(literal -1/4 binary64))) (neg.f64 (neg.f64 N)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 N)) #s(literal -1/4 binary64)) (neg.f64 N))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal -1/4 binary64) N) (/.f64 #s(literal -1/4 binary64) N))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64) (-.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) N) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))) (neg.f64 N))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) N)
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/4 binary64) N))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))
(/.f64 (-.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/4 binary64) N) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) N) N) (/.f64 #s(literal 1/4 binary64) N))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
#s(literal 1/3 binary64)
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal -1/4 binary64) (neg.f64 N))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1/4 binary64) N)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 N) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 N #s(literal 1/4 binary64)))
(neg.f64 (/.f64 #s(literal -1/4 binary64) N))
#s(literal 1/4 binary64)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 N))) (neg.f64 (neg.f64 (fabs.f64 N))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 N))) (neg.f64 (neg.f64 (neg.f64 N))))
(*.f64 (pow.f64 (fabs.f64 N) #s(literal 1 binary64)) (pow.f64 (fabs.f64 N) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 N) #s(literal 1 binary64)) (fabs.f64 N))
(*.f64 (pow.f64 (neg.f64 N) #s(literal 1 binary64)) (pow.f64 (neg.f64 N) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 N) #s(literal 1 binary64)) (neg.f64 N))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 N N))
(*.f64 (pow.f64 N (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 N (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)))
(*.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)))
(*.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)))
(*.f64 (pow.f64 N #s(literal 1 binary64)) N)
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 (*.f64 N N) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 N N)
(pow.f64 (neg.f64 (fabs.f64 N)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal 2 binary64))
(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))
(/.f64 (pow.f64 (fabs.f64 N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N))
(/.f64 (pow.f64 (neg.f64 N) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N))
(/.f64 (pow.f64 N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N))
(neg.f64 (*.f64 (neg.f64 N) N))
(sqrt.f64 (*.f64 (*.f64 (*.f64 N N) N) N))
(fabs.f64 (*.f64 (neg.f64 N) N))
(fabs.f64 (*.f64 N N))
(exp.f64 (*.f64 (log.f64 (fabs.f64 N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))

eval195.0ms (6.8%)

Memory
28.9MiB live, 351.9MiB allocated; 102ms collecting garbage
Compiler

Compiled 14 421 to 5 665 computations (60.7% saved)

prune30.0ms (1%)

Memory
14.4MiB live, 61.5MiB allocated; 8ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1 29381 301
Fresh448
Picked325
Done022
Total1 300161 316
Accuracy
100.0%
Counts
1 316 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.1%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
99.4%
(log1p.f64 (/.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal 1/2 binary64))))
99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
24.6%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
93.0%
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))))
93.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
93.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
93.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N)))
93.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))))
86.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
93.5%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
93.5%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
93.2%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
Compiler

Compiled 317 to 313 computations (1.3% saved)

series17.0ms (0.6%)

Memory
-25.5MiB live, 20.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0206839
Stop Event
iter-limit
Counts
23 → 49
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 (-.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)
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
#s(literal 1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N))
(*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N)
(/.f64 N (-.f64 N #s(literal 1/2 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))))
#s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
Outputs
#s(approx (log (+ 1 (/ N (* N N)))) (*.f64 #s(literal -1 binary64) (log.f64 N)))
#s(approx (log (+ 1 (/ N (* N N)))) (+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N))))
#s(approx (log (+ 1 (/ N (* N N)))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N)))))
#s(approx (log (+ 1 (/ N (* N N)))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))))))
#s(approx (/ N (* N N)) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (* N N) (pow.f64 N #s(literal 2 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N)))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 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 (/ 1 (* N N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (* (/ N (- N 1/2)) N) (*.f64 #s(literal -2 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (* (/ N (- N 1/2)) N) (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) N) #s(literal 2 binary64))))
#s(approx (* (/ N (- N 1/2)) N) (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (*.f64 N (-.f64 (*.f64 #s(literal -8 binary64) N) #s(literal 4 binary64))) #s(literal 2 binary64))))
#s(approx (* (/ N (- N 1/2)) N) (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (*.f64 N (-.f64 (*.f64 N (-.f64 (*.f64 #s(literal -16 binary64) N) #s(literal 8 binary64))) #s(literal 4 binary64))) #s(literal 2 binary64))))
#s(approx (/ N (- N 1/2)) (*.f64 #s(literal -2 binary64) N))
#s(approx (/ N (- N 1/2)) (*.f64 N (-.f64 (*.f64 #s(literal -4 binary64) N) #s(literal 2 binary64))))
#s(approx (/ N (- N 1/2)) (*.f64 N (-.f64 (*.f64 N (-.f64 (*.f64 #s(literal -8 binary64) N) #s(literal 4 binary64))) #s(literal 2 binary64))))
#s(approx (/ N (- N 1/2)) (*.f64 N (-.f64 (*.f64 N (-.f64 (*.f64 N (-.f64 (*.f64 #s(literal -16 binary64) N) #s(literal 8 binary64))) #s(literal 4 binary64))) #s(literal 2 binary64))))
#s(approx (* N (+ 1 (* 1/2 (/ 1 N)))) #s(literal 1/2 binary64))
#s(approx (* N (+ 1 (* 1/2 (/ 1 N)))) (+.f64 #s(literal 1/2 binary64) N))
#s(approx (+ 1 (* 1/2 (/ 1 N))) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (+ 1 (* 1/2 (/ 1 N))) (/.f64 (+.f64 #s(literal 1/2 binary64) N) N))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
#s(approx (- N 1/2) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (* (/ N (- N 1/2)) N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (* (/ N (- N 1/2)) N) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))))
#s(approx (* (/ N (- N 1/2)) N) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))))))
#s(approx (/ N (- N 1/2)) #s(literal 1 binary64))
#s(approx (/ N (- N 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (/ N (- N 1/2)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (/ N (- N 1/2)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))))))
#s(approx (log (+ 1 (/ N (* N N)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ N (* N N)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ N (* N N)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N)) #s(literal 1/2 binary64)) N))) N)))
#s(approx (- N 1/2) (*.f64 #s(literal -1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))))
#s(approx (* (/ N (- N 1/2)) N) (*.f64 #s(literal -1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N)) #s(literal 1 binary64)))))
#s(approx (* (/ N (- N 1/2)) N) (*.f64 #s(literal -1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)))) N)) #s(literal 1 binary64)))))
#s(approx (/ N (- N 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) N))) N)) #s(literal 1/2 binary64)) N))))
Calls

3 calls:

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

rewrite149.0ms (5.2%)

Memory
36.0MiB live, 223.0MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030198
046176
1244144
2995144
04004144
Stop Event
iter-limit
node-limit
iter-limit
Counts
23 → 2 321
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 (-.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)
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
#s(literal 1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N))
(*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N)
(/.f64 N (-.f64 N #s(literal 1/2 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))))
#s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (log.f64 N))) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))) (-.f64 (neg.f64 (log.f64 N)) (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)))) (*.f64 (neg.f64 (neg.f64 (log.f64 N))) (neg.f64 (neg.f64 (log.f64 N))))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (neg.f64 (log.f64 N)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)) (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (neg.f64 (neg.f64 (log.f64 N))) (neg.f64 (neg.f64 (log.f64 N))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (neg.f64 (log.f64 N)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (+.f64 (fabs.f64 N) (copysign.f64 #s(literal 1 binary64) N))) (log.f64 (fabs.f64 N)))
(-.f64 (log.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) N) (neg.f64 N))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N N))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (fma.f64 N N N)) (log.f64 (*.f64 N N)))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (neg.f64 (log.f64 N))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal -1 binary64))))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 N))) (/.f64 N (neg.f64 N)))
(*.f64 (/.f64 N (*.f64 #s(literal 1 binary64) (neg.f64 N))) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(*.f64 (/.f64 N (neg.f64 (fabs.f64 N))) (/.f64 #s(literal -1 binary64) (fabs.f64 N)))
(*.f64 (/.f64 N (neg.f64 (fabs.f64 N))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 N))))
(*.f64 (/.f64 N (neg.f64 (neg.f64 N))) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 N))) (/.f64 N (neg.f64 (fabs.f64 N))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (fabs.f64 N)))
(*.f64 (/.f64 N (neg.f64 N)) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
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(fma.f64 (/.f64 N (neg.f64 (fabs.f64 N))) (/.f64 #s(literal -1 binary64) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) N))
(fma.f64 (/.f64 N (neg.f64 (fabs.f64 N))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 N))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (/.f64 N (neg.f64 (fabs.f64 N))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 N))) (/.f64 #s(literal 0 binary64) N))
(fma.f64 (/.f64 N (neg.f64 (neg.f64 N))) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (/.f64 N (neg.f64 (neg.f64 N))) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 N))) (/.f64 N (neg.f64 (fabs.f64 N))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 N))) (/.f64 N (neg.f64 (fabs.f64 N))) (/.f64 #s(literal 0 binary64) N))
(fma.f64 (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) N))
(fma.f64 (/.f64 N (neg.f64 N)) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (/.f64 N (neg.f64 N)) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) N))
(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 N (neg.f64 N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 N (neg.f64 N)) (/.f64 #s(literal 0 binary64) N))
(fma.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) N))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N (/.f64 #s(literal 0 binary64) N))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) N))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 N (neg.f64 (neg.f64 N))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 N (neg.f64 (neg.f64 N))) (/.f64 #s(literal 0 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) N))
(fma.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) N))
(exp.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) N))

eval188.0ms (6.6%)

Memory
-33.3MiB live, 256.4MiB allocated; 89ms collecting garbage
Compiler

Compiled 11 577 to 4 964 computations (57.1% saved)

prune31.0ms (1.1%)

Memory
17.7MiB live, 64.9MiB allocated; 5ms collecting garbage
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1 37631 379
Fresh167
Picked415
Done224
Total1 383121 395
Accuracy
100.0%
Counts
1 395 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.1%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
99.4%
(log1p.f64 (/.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal 1/2 binary64))))
99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
24.6%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
93.0%
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
93.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 #s(approx (/ N (- 1 (/ 1/2 N))) (-.f64 N #s(literal -1/2 binary64))) N)))
94.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (-.f64 N #s(literal -1/2 binary64)))))
93.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))))
86.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 360 to 279 computations (22.5% saved)

regimes17.0ms (0.6%)

Memory
-15.7MiB live, 30.2MiB allocated; 3ms collecting garbage
Counts
31 → 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 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (-.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 #s(approx (/ N (- 1 (/ 1/2 N))) (-.f64 N #s(literal -1/2 binary64))) 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 (-.f64 N #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 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) 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)) (/.f64 (-.f64 (fma.f64 N N #s(literal 1/3 binary64)) (*.f64 N #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) N))
(log1p.f64 (exp.f64 (*.f64 (log.f64 N) #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (/.f64 (fma.f64 N N #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(log1p.f64 (/.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal 1/2 binary64))))
(log1p.f64 (*.f64 (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 N (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

8.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.9%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0.3%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Counts
15 → 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 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (-.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 #s(approx (/ N (- 1 (/ 1/2 N))) (-.f64 N #s(literal -1/2 binary64))) 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 (-.f64 N #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 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
Outputs
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (-.f64 N #s(literal -1/2 binary64)))))
Calls

2 calls:

4.0ms
N
3.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
98.4%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
98.4%2N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.2%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Counts
13 → 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 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (-.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 #s(approx (/ N (- 1 (/ 1/2 N))) (-.f64 N #s(literal -1/2 binary64))) 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 (-.f64 N #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 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
Outputs
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (-.f64 N #s(literal -1/2 binary64)))))
Calls

2 calls:

4.0ms
N
3.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
98.3%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
98.3%2N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Counts
5 → 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 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (-.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 #s(approx (/ N (- 1 (/ 1/2 N))) (-.f64 N #s(literal -1/2 binary64))) 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 (-.f64 N #s(literal 1/2 binary64)) N) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- 1 (/ 1/2 N))) (-.f64 N #s(literal -1/2 binary64)))))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
94.0%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
94.0%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) 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
86.0%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
86.0%1N
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch46.0ms (1.6%)

Memory
-36.5MiB live, 9.8MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
45.0ms
114024.45735628191
262370.89385292144
Samples
7.0ms80×1valid
Compiler

Compiled 120 to 128 computations (-6.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-log1p: 2.0ms (41.5% of total)
adjust: 1.0ms (20.8% of total)
ival-log: 1.0ms (20.8% of total)
ival-sub!: 0.0ms (0% of total)

bsearch6.0ms (0.2%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
92862.73979036156
114024.45735628191
Samples
4.0ms48×1valid
Compiler

Compiled 73 to 77 computations (-5.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
adjust: 1.0ms (35% of total)
ival-log: 1.0ms (35% of total)
ival-log1p: 1.0ms (35% of total)
ival-sub!: 0.0ms (0% of total)

derivations91.0ms (3.2%)

Memory
-6.7MiB live, 86.5MiB allocated; 14ms collecting garbage
Stop Event
fuel
Compiler

Compiled 38 to 32 computations (15.8% saved)

preprocess46.0ms (1.6%)

Memory
8.4MiB live, 99.7MiB allocated; 11ms collecting garbage
Compiler

Compiled 78 to 66 computations (15.4% saved)

end0.0ms (0%)

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

Profiling

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