2log (problem 3.3.6)

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
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)

sample1.3s (39.6%)

Memory
15.9MiB live, 1 072.0MiB allocated; 392ms collecting garbage
Samples
983.0ms7 447×1valid
50.0ms809×0valid
Precisions
Click to see histograms. Total time spent on operations: 751.0ms
ival-log: 314.0ms (41.8% of total)
ival-log1p: 271.0ms (36.1% of total)
adjust: 128.0ms (17.1% of total)
ival-sub!: 37.0ms (4.9% of total)
Bogosity

preprocess54.0ms (1.6%)

Memory
3.7MiB live, 49.3MiB allocated; 5ms 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
23.9%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series51.0ms (1.5%)

Memory
4.4MiB live, 105.3MiB allocated; 11ms 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:

TimeVariablePoint
28.0ms
N
0
7.0ms
N
inf
7.0ms
N
-inf

rewrite104.0ms (3.1%)

Memory
-5.0MiB live, 138.5MiB allocated; 15ms 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))))
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) (log.f64 (*.f64 (neg.f64 N) #s(literal 2 binary64))))
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N
#s(literal 1 binary64)
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eval28.0ms (0.8%)

Memory
17.8MiB live, 63.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 679 to 943 computations (74.4% saved)

prune8.0ms (0.2%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2647271
Fresh000
Picked101
Done000
Total2657272
Accuracy
99.9%
Counts
272 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.9%
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
27.6%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
26.9%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
94.9%
#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)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
92.7%
#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))
84.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 150 to 122 computations (18.7% saved)

series14.0ms (0.4%)

Memory
-7.6MiB live, 35.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198794
Stop Event
iter-limit
Counts
17 → 48
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))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #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)
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))
(/.f64 N (-.f64 N #s(literal -1 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 (/ (- N -1) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (+.f64 #s(literal 1 binary64) 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 (log (/ N (- N -1))) (log.f64 N))
#s(approx (log (/ N (- N -1))) (+.f64 (log.f64 N) (*.f64 #s(literal -1 binary64) N)))
#s(approx (log (/ N (- N -1))) (+.f64 (log.f64 N) (*.f64 N (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))))
#s(approx (log (/ N (- N -1))) (+.f64 (log.f64 N) (*.f64 N (-.f64 (*.f64 N (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/3 binary64) N))) #s(literal 1 binary64)))))
#s(approx (/ N (- N -1)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
#s(approx (/ N (- N -1)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))))
#s(approx (/ N (- N -1)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) #s(literal 1 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 (/ (- N -1) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(approx (- N -1) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#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 (log (/ N (- N -1))) (/.f64 #s(literal -1 binary64) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (*.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))))) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (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 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))))) N))
#s(approx (/ N (- N -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(approx (/ N (- N -1)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) N)))
#s(approx (/ N (- N -1)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))))
#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) (/.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 (- N -1))) (*.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 (- N -1))) (*.f64 #s(literal -1 binary64) (/.f64 (+.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))) N)))
#s(approx (log (/ N (- N -1))) (*.f64 #s(literal -1 binary64) (/.f64 (+.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))) N)))
#s(approx (/ N (- N -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))))
#s(approx (/ N (- N -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))) N))))
Calls

3 calls:

TimeVariablePoint
4.0ms
N
0
2.0ms
N
-inf
1.0ms
N
inf

rewrite146.0ms (4.3%)

Memory
13.6MiB live, 200.2MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02192
03377
116772
255172
3224272
0413972
Stop Event
iter-limit
node-limit
iter-limit
Counts
17 → 1 418
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))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #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)
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))
(/.f64 N (-.f64 N #s(literal -1 binary64)))
Outputs
(*.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 (-.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))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(log1p.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(log1p.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64)))
(log1p.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N)))
(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 (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 #s(literal 1 binary64) (fma.f64 N N N))) (log.f64 (*.f64 N N)))
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N))) (log.f64 N))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 (neg.f64 N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) (log.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 (+.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 (neg.f64 N) (*.f64 (neg.f64 N) 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 (/.f64 (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) (log.f64 N))
(-.f64 (neg.f64 (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 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 N #s(literal 2 binary64)))) (log.f64 (*.f64 N #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 N (*.f64 N N))) (log.f64 (*.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 (-.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 (neg.f64 N) N) N)) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (fma.f64 N N N))) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 N N))))
(-.f64 (log.f64 (*.f64 (neg.f64 N) (fma.f64 N N N))) (log.f64 (*.f64 (*.f64 N N) (neg.f64 N))))
(-.f64 (log.f64 (*.f64 N (fma.f64 N N N))) (log.f64 (*.f64 (*.f64 N N) N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N N))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N))) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)))))
(-.f64 (log.f64 (fma.f64 (neg.f64 N) N (neg.f64 N))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (*.f64 (neg.f64 N) (-.f64 #s(literal -1 binary64) N))) (log.f64 (*.f64 N N)))
(-.f64 (log.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64))) (log.f64 (*.f64 (neg.f64 N) (/.f64 N (-.f64 #s(literal -1 binary64) N)))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) N))) (log.f64 (*.f64 #s(literal 2 binary64) (neg.f64 N))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 N (-.f64 #s(literal -1 binary64) N)))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 #s(literal 2 binary64) N)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64))))))
(-.f64 (log.f64 (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (*.f64 N (-.f64 #s(literal -1 binary64) N))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 #s(literal 1 binary64)))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (fma.f64 N N N)) (log.f64 (*.f64 N N)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 N (-.f64 #s(literal -1 binary64) N))))
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eval203.0ms (6%)

Memory
-22.2MiB live, 343.0MiB allocated; 97ms collecting garbage
Compiler

Compiled 27 518 to 4 655 computations (83.1% saved)

prune32.0ms (1%)

Memory
28.1MiB live, 75.3MiB allocated; 1ms collecting garbage
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1 592141 606
Fresh202
Picked235
Done000
Total1 596171 613
Accuracy
100.0%
Counts
1 613 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.6%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
99.6%
(log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 #s(literal -1 binary64) N) N)))
99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
99.4%
(log1p.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N))))
95.2%
(log1p.f64 (exp.f64 (*.f64 (log.f64 N) #s(literal -1 binary64))))
26.8%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
92.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 N N) (*.f64 N #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) N)))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
92.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1/2 binary64))) N))
84.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
84.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
92.7%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
92.6%
#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))))
92.3%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
94.9%
#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)))
Compiler

Compiled 406 to 303 computations (25.4% saved)

series11.0ms (0.3%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133538
Stop Event
iter-limit
Counts
22 → 32
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 #s(literal -1 binary64) N) N)))
(/.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 #s(literal -1 binary64) N) N))
(/.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
N
(*.f64 (/.f64 #s(literal -1 binary64) N) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
(/.f64 N (*.f64 N N))
(*.f64 N N)
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 N N) (*.f64 N #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) N)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 N #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) N))
(-.f64 (*.f64 N N) (*.f64 N #s(literal 1/2 binary64)))
(*.f64 N #s(literal 1/2 binary64))
(*.f64 (*.f64 N N) N)
Outputs
#s(approx (log (+ 1 (/ (/ -1 N) (* (/ -1 N) N)))) (*.f64 #s(literal -1 binary64) (log.f64 N)))
#s(approx (log (+ 1 (/ (/ -1 N) (* (/ -1 N) N)))) (+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N))))
#s(approx (log (+ 1 (/ (/ -1 N) (* (/ -1 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 (/ (/ -1 N) (* (/ -1 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 (/ (/ -1 N) (* (/ -1 N) N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ -1 N) (/.f64 #s(literal -1 binary64) N))
#s(approx N N)
#s(approx (* (/ -1 N) N) #s(literal -1 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 N) (pow.f64 N #s(literal 2 binary64)))
#s(approx (- (/ 1 N) -1) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ 1/2 (* N N)) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (- (* N N) (* N 1/2)) (*.f64 #s(literal -1/2 binary64) N))
#s(approx (- (* N N) (* N 1/2)) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))
#s(approx (* N 1/2) (*.f64 #s(literal 1/2 binary64) N))
#s(approx (* (* N N) N) (pow.f64 N #s(literal 3 binary64)))
#s(approx (log (+ 1 (/ (/ -1 N) (* (/ -1 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 (/ (/ -1 N) (* (/ -1 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 (/ (/ -1 N) (* (/ -1 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 (- (/ 1 N) -1) #s(literal 1 binary64))
#s(approx (- (/ 1 N) -1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(approx (- (* N N) (* N 1/2)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (log (+ 1 (/ (/ -1 N) (* (/ -1 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 (/ (/ -1 N) (* (/ -1 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 (/ (/ -1 N) (* (/ -1 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) (/.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)))
Calls

3 calls:

TimeVariablePoint
2.0ms
N
-inf
2.0ms
N
inf
2.0ms
N
0

rewrite133.0ms (4%)

Memory
1.2MiB live, 238.4MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026146
042141
123095
2111095
0408495
Stop Event
iter-limit
node-limit
iter-limit
Counts
22 → 1 378
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 #s(literal -1 binary64) N) N)))
(/.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 #s(literal -1 binary64) N) N))
(/.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
N
(*.f64 (/.f64 #s(literal -1 binary64) N) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
(/.f64 N (*.f64 N N))
(*.f64 N N)
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 N N) (*.f64 N #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) N)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 N #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) N))
(-.f64 (*.f64 N N) (*.f64 N #s(literal 1/2 binary64)))
(*.f64 N #s(literal 1/2 binary64))
(*.f64 (*.f64 N 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 #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 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N))) (log.f64 N))
(-.f64 (log.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) N)) (log.f64 (/.f64 #s(literal -1 binary64) 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 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 #s(literal 1 binary64)))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (log.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)) (log.f64 N))
(+.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (log.f64 #s(literal -1 binary64)))
(+.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 (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 #s(literal 1 binary64) (fabs.f64 N)) (copysign.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 (*.f64 (neg.f64 N) N)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N)
(*.f64 (fabs.f64 N) (/.f64 (fabs.f64 N) (*.f64 (*.f64 N N) N)))
(*.f64 (neg.f64 N) (/.f64 (neg.f64 N) (*.f64 (*.f64 N N) N)))
(*.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (*.f64 N N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(*.f64 N (/.f64 N (*.f64 (*.f64 N N) N)))
(*.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(*.f64 #s(literal -1 binary64) (/.f64 N (*.f64 (neg.f64 N) N)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(pow.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 N)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) N) N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (copysign.f64 #s(literal 1 binary64) N)) (neg.f64 (fabs.f64 N)))
(/.f64 (neg.f64 (*.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 N) N))
(/.f64 (neg.f64 (neg.f64 (neg.f64 N))) (*.f64 (neg.f64 N) N))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) N) N) (/.f64 #s(literal -1 binary64) N))
(/.f64 (copysign.f64 #s(literal 1 binary64) N) (fabs.f64 N))
(/.f64 (/.f64 N (*.f64 (neg.f64 N) N)) #s(literal -1 binary64))
(/.f64 (*.f64 N #s(literal 1 binary64)) (*.f64 N N))
(/.f64 (neg.f64 (neg.f64 N)) (*.f64 N N))
(/.f64 (*.f64 (neg.f64 N) N) (*.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (neg.f64 N) (*.f64 #s(literal -1 binary64) (*.f64 N N)))
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))
(/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(/.f64 (*.f64 N N) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N)))
(/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 N N) N) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 N) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 N) N) (neg.f64 N)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) N))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(/.f64 N (*.f64 N N))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(neg.f64 (/.f64 N (*.f64 (neg.f64 N) N)))
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(exp.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (neg.f64 N))
(*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N))
(pow.f64 (neg.f64 N) #s(literal -1 binary64))
(/.f64 (/.f64 N (*.f64 (neg.f64 N) N)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 (*.f64 N N) (*.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 N) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 N #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 N))
(/.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal -1 binary64) N)
(neg.f64 (/.f64 #s(literal 1 binary64) N))
(exp.f64 (*.f64 (log.f64 (neg.f64 N)) #s(literal -1 binary64)))
#s(literal -1 binary64)
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log 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))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (copysign.f64 #s(literal 1 binary64) N))
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(fma.f64 (/.f64 N (*.f64 (neg.f64 N) N)) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 N) (/.f64 (fabs.f64 N) (*.f64 (*.f64 N N) N)) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N)))
(fma.f64 (fabs.f64 N) (/.f64 (fabs.f64 N) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 (neg.f64 N) (/.f64 (neg.f64 N) (*.f64 (*.f64 N N) N)) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N)))
(fma.f64 (neg.f64 N) (/.f64 (neg.f64 N) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N)))
(fma.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))) (/.f64 #s(literal 1 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N)))
(fma.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N)))
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 N (/.f64 N (*.f64 (*.f64 N N) N)) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N)))
(fma.f64 N (/.f64 N (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N)))
(fma.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal -1 binary64) (/.f64 N (*.f64 (neg.f64 N) N)) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N)))
(fma.f64 #s(literal -1 binary64) (/.f64 N (*.f64 (neg.f64 N) N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N))
(*.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(*.f64 (neg.f64 N) (+.f64 (neg.f64 N) #s(literal 1/2 binary64)))
(*.f64 N (-.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 #s(literal -1/2 binary64) N))) (-.f64 (*.f64 N N) (*.f64 #s(literal -1/2 binary64) N)))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) (pow.f64 (*.f64 #s(literal -1/2 binary64) N) #s(literal 3 binary64))) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 #s(literal -1/2 binary64) N)) (*.f64 (*.f64 N N) (*.f64 #s(literal -1/2 binary64) N)))))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 #s(literal 1/2 binary64) N))) (+.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) (pow.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64))) (fma.f64 (*.f64 N N) (*.f64 N N) (fma.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)))))
(neg.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) N)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 N))) (neg.f64 (neg.f64 (fabs.f64 N))) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 N))) (neg.f64 (neg.f64 (neg.f64 N))) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (neg.f64 N) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 #s(literal -1/2 binary64) N (*.f64 N N))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (neg.f64 N) (neg.f64 N) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (neg.f64 N) #s(literal 1/2 binary64) (*.f64 N N))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 N) (*.f64 N N))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) N) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 N #s(literal -1/2 binary64) (*.f64 N N))
(fma.f64 N N (*.f64 #s(literal -1/2 binary64) N))
(-.f64 (*.f64 N N) (*.f64 (neg.f64 (neg.f64 N)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 N N) (neg.f64 (*.f64 #s(literal -1/2 binary64) N)))
(-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N))
(+.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 N N))
(+.f64 (*.f64 N N) (*.f64 #s(literal -1/2 binary64) N))
(*.f64 #s(literal 1/2 binary64) N)
(*.f64 N #s(literal 1/2 binary64))
(*.f64 (*.f64 N (fabs.f64 N)) (fabs.f64 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 (*.f64 (neg.f64 N) N) (neg.f64 N))
(*.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) N))
(*.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))
(*.f64 (*.f64 N N) (pow.f64 N #s(literal 1 binary64)))
(*.f64 (*.f64 N N) N)
(*.f64 N (*.f64 N N))
(pow.f64 N #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64)))

eval122.0ms (3.6%)

Memory
-1.0MiB live, 241.0MiB allocated; 62ms collecting garbage
Compiler

Compiled 20 432 to 3 406 computations (83.3% saved)

prune28.0ms (0.8%)

Memory
-27.0MiB live, 62.6MiB allocated; 16ms collecting garbage
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New9856991
Fresh459
Picked145
Done033
Total990181 008
Accuracy
100.0%
Counts
1 008 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.6%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
99.5%
(log1p.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
99.6%
(log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 #s(literal -1 binary64) N) N)))
99.6%
(log1p.f64 (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)))
99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
99.4%
(log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N))
26.8%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
92.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
92.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1/2 binary64))) N))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N)))
84.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
84.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
92.7%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
92.7%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N)))
92.3%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
94.9%
#s(approx (log (+ 1 (/ (/ -1 N) (* (/ -1 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)))
Compiler

Compiled 396 to 285 computations (28% saved)

series9.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0129540
Stop Event
iter-limit
Counts
19 → 32
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)))
(/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))
(*.f64 N N)
N
(*.f64 (*.f64 N 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 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1/2 binary64))) N))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1/2 binary64))) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
(log1p.f64 (/.f64 N (*.f64 N N)))
(/.f64 N (*.f64 N N))
Outputs
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (*.f64 #s(literal -1 binary64) (log.f64 N)))
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N))))
#s(approx (log (+ 1 (/ (* N N) (* (* 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 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 N) N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (* N N) (pow.f64 N #s(literal 2 binary64)))
#s(approx N N)
#s(approx (* (* N N) N) (pow.f64 N #s(literal 3 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 (* (/ 1 N) (- N 1/2)) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (* (/ 1 N) (- N 1/2)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (log (+ 1 (/ (* N N) (* (* 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 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 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 (* (/ 1 N) (- N 1/2)) #s(literal 1 binary64))
#s(approx (* (/ 1 N) (- N 1/2)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (log (+ 1 (/ (* N N) (* (* 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 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 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)))))
Calls

3 calls:

TimeVariablePoint
2.0ms
N
-inf
1.0ms
N
inf
1.0ms
N
0

rewrite189.0ms (5.6%)

Memory
-11.4MiB live, 276.9MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023133
038124
119594
288294
0405894
Stop Event
iter-limit
node-limit
iter-limit
Counts
19 → 1 631
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)))
(/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))
(*.f64 N N)
N
(*.f64 (*.f64 N 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 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1/2 binary64))) N))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1/2 binary64))) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
(log1p.f64 (/.f64 N (*.f64 N N)))
(/.f64 N (*.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 #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 N (/.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) (log.f64 N))
(-.f64 (log.f64 (-.f64 (*.f64 N N) (/.f64 (*.f64 (neg.f64 N) N) N))) (log.f64 (*.f64 N N)))
(-.f64 (log.f64 (-.f64 (fabs.f64 N) (copysign.f64 #s(literal 1 binary64) (neg.f64 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 (-.f64 N (/.f64 (neg.f64 N) N))) (log.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 (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 N) N) N) (*.f64 (neg.f64 N) N))) (log.f64 (*.f64 (*.f64 (neg.f64 N) N) N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 (*.f64 N N) N (*.f64 N N)))) (log.f64 (*.f64 (*.f64 (neg.f64 N) 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 (fma.f64 (*.f64 N N) N (*.f64 N N))) (log.f64 (*.f64 (*.f64 N 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 (log.f64 (fma.f64 (*.f64 N N) N (*.f64 N N))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N 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 N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N 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))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (copysign.f64 #s(literal 1 binary64) N))
(*.f64 (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (fabs.f64 N)))
(*.f64 (/.f64 (neg.f64 N) N) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (neg.f64 N) N))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 N N))
(*.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)))
(*.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))))
(*.f64 (fabs.f64 N) (/.f64 (fabs.f64 N) (*.f64 (*.f64 N N) N)))
(*.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))))
(*.f64 (neg.f64 N) (/.f64 (neg.f64 N) (*.f64 (*.f64 N N) N)))
(*.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (*.f64 N N)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))
(*.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 N #s(literal -1 binary64))) (*.f64 N N))
(/.f64 (neg.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64))) (*.f64 N N))
(/.f64 (neg.f64 (/.f64 (*.f64 N N) N)) (*.f64 (neg.f64 N) N))
(/.f64 (neg.f64 (*.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 N) N))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 N) N))
(/.f64 (neg.f64 (copysign.f64 #s(literal 1 binary64) N)) (neg.f64 (fabs.f64 N)))
(/.f64 (neg.f64 (/.f64 N (neg.f64 N))) (neg.f64 (neg.f64 N)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 N))) (*.f64 (neg.f64 N) N))
(/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 N) N))
(/.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64)) (*.f64 (neg.f64 N) N))
(/.f64 (/.f64 (*.f64 N N) N) (*.f64 N N))
(/.f64 (*.f64 N #s(literal 1 binary64)) (*.f64 N N))
(/.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 N N))
(/.f64 (copysign.f64 #s(literal 1 binary64) N) (fabs.f64 N))
(/.f64 (/.f64 N (neg.f64 N)) (neg.f64 N))
(/.f64 (neg.f64 (neg.f64 N)) (*.f64 N N))
(/.f64 (*.f64 (neg.f64 N) N) (neg.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))))
(/.f64 (*.f64 (neg.f64 N) N) (*.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 N N) N) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) N))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 N) N) N) (*.f64 (neg.f64 N) N)))
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(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) (/.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (*.f64 N N) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N)))
(/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))
(/.f64 N (*.f64 N N))
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(fma.f64 (*.f64 N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (*.f64 N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N 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 (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))
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(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 N N) (/.f64 #s(literal 0 binary64) N))
(fma.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
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(fma.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 0 binary64) N))
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N
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(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 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N))))
(fma.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.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))
(-.f64 (/.f64 #s(literal 2 binary64) (neg.f64 N)) (/.f64 #s(literal 3 binary64) (neg.f64 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))

eval646.0ms (19.1%)

Memory
-131.9MiB live, 198.3MiB allocated; 1.0s collecting garbage
Compiler

Compiled 17 826 to 2 605 computations (85.4% saved)

prune19.0ms (0.6%)

Memory
3.3MiB live, 48.9MiB allocated; 2ms collecting garbage
Pruning

17 alts after pruning (6 fresh and 11 done)

PrunedKeptTotal
New8421843
Fresh156
Picked055
Done167
Total84417861
Accuracy
100.0%
Counts
861 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.6%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
99.6%
(log1p.f64 (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)))
99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
98.7%
(log1p.f64 (-.f64 (/.f64 #s(literal 2 binary64) (neg.f64 N)) (/.f64 #s(literal 3 binary64) (neg.f64 N))))
99.4%
(log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N))
26.8%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
92.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
92.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1/2 binary64))) N))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N)))
84.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
84.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
92.7%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
92.7%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N)))
92.3%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
94.9%
#s(approx (log (+ 1 (/ (/ -1 N) (* (/ -1 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)))
Compiler

Compiled 222 to 165 computations (25.7% saved)

regimes53.0ms (1.6%)

Memory
12.9MiB live, 111.2MiB allocated; 28ms collecting garbage
Accuracy

Total -0.1b remaining (-0.7%)

Threshold costs -0.1b (-0.7%)

Counts
2 → 1
3 → 1
4 → 1
12 → 2
13 → 2
29 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Call 2
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
Call 3
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
Call 4
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(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 #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 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
Call 5
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(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 #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 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)))))
Outputs
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
Call 6
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(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 #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 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N)))
(log1p.f64 (/.f64 N (*.f64 N N)))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (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 N N) (*.f64 N #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) N)))
(log1p.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N))
(log1p.f64 (-.f64 (/.f64 #s(literal 2 binary64) (neg.f64 N)) (/.f64 #s(literal 3 binary64) (neg.f64 N))))
(log1p.f64 (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)))
(log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 #s(literal -1 binary64) N) N)))
(log1p.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) N) N) (/.f64 #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) (* (/ -1 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)))
(log1p.f64 (exp.f64 (*.f64 (log.f64 N) #s(literal -1 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))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Calls

12 calls:

14.0ms
N
9.0ms
N
6.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
4.0ms
N
3.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
84.4%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
84.4%1N
92.4%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
92.4%1N
92.7%1N
92.7%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
98.0%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
98.0%2N
98.2%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
98.2%2N
99.8%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.8%1N
Compiler

Compiled 426 to 153 computations (64.1% saved)

bsearch16.0ms (0.5%)

Memory
-16.2MiB live, 29.7MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
274116.8553695402
1971201.2833586764
Samples
11.0ms96×1valid
Compiler

Compiled 142 to 122 computations (14.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
adjust: 2.0ms (34.6% of total)
ival-log: 2.0ms (34.6% of total)
ival-log1p: 2.0ms (34.6% of total)
ival-sub!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.32795379015738e-6
8.91576752692913e-6
Compiler

Compiled 10 to 10 computations (0% saved)

derivations119.0ms (3.5%)

Memory
8.0MiB live, 151.0MiB allocated; 19ms collecting garbage
Stop Event
fuel
Compiler

Compiled 102 to 35 computations (65.7% saved)

preprocess51.0ms (1.5%)

Memory
9.2MiB live, 99.2MiB allocated; 10ms collecting garbage
Compiler

Compiled 146 to 69 computations (52.7% saved)

end0.0ms (0%)

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

Profiling

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