2log (problem 3.3.6)

Time bar (total: 3.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample1.5s (45.9%)

Memory
32.2MiB live, 2 024.5MiB allocated; 375ms collecting garbage
Samples
1.2s7 432×1valid
35.0ms824×0valid
Precisions
Click to see histograms. Total time spent on operations: 954.0ms
ival-log: 316.0ms (33.1% of total)
ival-log1p: 315.0ms (33% of total)
adjust: 213.0ms (22.3% of total)
ival-sub!: 111.0ms (11.6% of total)
Bogosity

explain145.0ms (4.4%)

Memory
-0.7MiB live, 196.8MiB allocated; 54ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2460-1(22.26429615018582)(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
00-0-N
00-0-(log.f64 N)
00-0-(+.f64 N #s(literal 1 binary64))
00-0-(log.f64 (+.f64 N #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))cancellation2452
Confusion
Predicted +Predicted -
+2451
-010
Precision
1.0
Recall
0.9959349593495935
Confusion?
Predicted +Predicted MaybePredicted -
+24510
-019
Precision?
0.9959514170040485
Recall?
1.0
Freqs
test
numberfreq
011
1245
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
89.0ms452×1valid
3.0ms60×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-log1p: 16.0ms (38.1% of total)
ival-log: 13.0ms (31% of total)
adjust: 8.0ms (19.1% of total)
ival-sub!: 2.0ms (4.8% of total)
ival-add!: 1.0ms (2.4% of total)

preprocess68.0ms (2.1%)

Memory
-30.4MiB live, 20.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01226
11626
21926
33326
47626
532124
6282024
7622324
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.8%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series49.0ms (1.5%)

Memory
18.7MiB live, 63.6MiB allocated; 5ms collecting garbage
Counts
6 → 31
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ N 1)) #s(hole binary64 N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
Calls

3 calls:

TimeVariablePointExpression
23.0ms
N
@0
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
20.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
6.0ms
N
@inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite216.0ms (6.6%)

Memory
13.2MiB live, 200.9MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126516
0131453
1714428
06908369
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
37 → 79
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ N 1)) #s(hole binary64 N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log1p.f64 N)
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) N)))
(-.f64 (log.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (log.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(*.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 N (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) N)))
(-.f64 N (*.f64 (/.f64 #s(literal -1 binary64) N) N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(*.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 N)))
(*.f64 (log.f64 N) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 N))
(neg.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 N))))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ N 1)) N)
#s(approx (log (+ N 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx N 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) N)) 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))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (log.f64 N))
#s(approx (log (+ N 1)) (+.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 N)))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (log.f64 N)))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (+ N 1) N)
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (log N) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ N 1)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))))
#s(approx (log (+ N 1)) (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) N)))
#s(approx (log (+ N 1)) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (log (+ N 1)) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) N)))
#s(approx (log N) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))))

eval8.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 218 to 285 computations (76.6% saved)

prune21.0ms (0.6%)

Memory
-39.3MiB live, 8.2MiB allocated; 1ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New72779
Fresh000
Picked101
Done000
Total73780
Accuracy
99.9%
Counts
80 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.8%
(-.f64 (log1p.f64 N) (log.f64 N))
27.8%
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
31.1%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
90.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
93.6%
#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))
81.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 134 to 110 computations (17.9% saved)

series8.0ms (0.2%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Counts
21 → 78
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
Outputs
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ 1 N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- N -1) N) #s(hole binary64 1))
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
Calls

3 calls:

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

rewrite172.0ms (5.2%)

Memory
16.3MiB live, 203.2MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911381
02091237
17881172
063501160
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
99 → 450
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ 1 N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- N -1) N) #s(hole binary64 1))
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 N (*.f64 N N))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(exp.f64 (neg.f64 (log.f64 N)))
#s(literal 1 binary64)
N
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 N) N)))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1/2 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) (*.f64 N N)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) N))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal 1/8 binary64)) (*.f64 (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64))) (*.f64 N N)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N))
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(neg.f64 (/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (*.f64 N N)))
(neg.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)))
(neg.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (neg.f64 N) N)))
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(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 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64)))) N)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) N)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 N) N) (*.f64 #s(literal -1/2 binary64) N)) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 N)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) N))) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal 1/8 binary64)) (*.f64 (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64))) N))
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (neg.f64 N))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(neg.f64 (/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) N))
(neg.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (neg.f64 N)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(fma.f64 N (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) N)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
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(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 2 binary64))
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(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 #s(literal 1/2 binary64) N)
(/.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) N))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
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(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(fma.f64 N (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N))
(+.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 N N)))) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 N N)))) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64))) N)
(/.f64 (fma.f64 #s(literal -1/3 binary64) N (*.f64 (neg.f64 N) (*.f64 #s(literal -1/2 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N (*.f64 (*.f64 N N) #s(literal -1/2 binary64))) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 N N))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 N N))) (*.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1/8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 N N) N) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) N) (-.f64 (*.f64 #s(literal -1/2 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) N))
(/.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) (neg.f64 N))
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N)
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (neg.f64 N)))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (*.f64 #s(literal 1/2 binary64) N) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) N)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
(*.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 #s(literal 1/3 binary64) N)
(neg.f64 (/.f64 #s(literal -1/3 binary64) N))
#s(literal 1/3 binary64)
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- 1 (/ 1/2 N)) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- N -1) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- N -1) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (- (/ 1/3 N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (/ 1/3 N) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (/ (- N -1) N) #s(literal 1 binary64))
#s(approx (/ (- N -1) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (- N -1) N)
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(literal 1 binary64))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 1/3 N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))

eval58.0ms (1.8%)

Memory
14.1MiB live, 114.2MiB allocated; 21ms collecting garbage
Compiler

Compiled 9 712 to 1 679 computations (82.7% saved)

prune18.0ms (0.6%)

Memory
-4.7MiB live, 41.1MiB allocated; 5ms collecting garbage
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New42911440
Fresh112
Picked235
Done000
Total43215447
Accuracy
100.0%
Counts
447 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.8%
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
31.8%
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
99.2%
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
95.4%
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
31.0%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
90.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
93.6%
#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))
90.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
90.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
81.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
81.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
90.6%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
78.1%
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (neg.f64 (log.f64 N))))
Compiler

Compiled 330 to 245 computations (25.8% saved)

series30.0ms (0.9%)

Memory
-30.5MiB live, 62.1MiB allocated; 7ms collecting garbage
Counts
22 → 75
Calls
Call 1
Inputs
(log1p.f64 (/.f64 N (*.f64 N N)))
(/.f64 N (*.f64 N N))
N
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
(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(literal -1 binary64)
#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))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (neg.f64 (log.f64 N))))
(exp.f64 (neg.f64 (log.f64 N)))
(neg.f64 (log.f64 N))
(log.f64 N)
Outputs
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ N (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (log N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (log N)))))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ 1 N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 1))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (* -1 (log (/ 1 N)))))))
#s(approx (neg (log N)) #s(hole binary64 (log (/ 1 N))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (+ (log -1) (* -1 (log (/ -1 N))))))))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
N
@-inf
((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 N) 1 -1 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (- (log (+ N 1)) (log N)) (exp (neg (log N))) (neg (log N)) (log N))
10.0ms
N
@0
((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 N) 1 -1 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (- (log (+ N 1)) (log N)) (exp (neg (log N))) (neg (log N)) (log N))
8.0ms
N
@inf
((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 N) 1 -1 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (- (log (+ N 1)) (log N)) (exp (neg (log N))) (neg (log N)) (log N))

rewrite266.0ms (8.1%)

Memory
69.9MiB live, 280.6MiB allocated; 89ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01981364
02191251
18461110
069651098
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
97 → 482
Calls
Call 1
Inputs
(log1p.f64 (/.f64 N (*.f64 N N)))
(/.f64 N (*.f64 N N))
N
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
(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(literal -1 binary64)
#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))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (neg.f64 (log.f64 N))))
(exp.f64 (neg.f64 (log.f64 N)))
(neg.f64 (log.f64 N))
(log.f64 N)
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ N (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (log N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (log N)))))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ 1 N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 1))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (* -1 (log (/ 1 N)))))))
#s(approx (neg (log N)) #s(hole binary64 (log (/ 1 N))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (+ (log -1) (* -1 (log (/ -1 N))))))))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
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#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (- (/ 1 N) -1) #s(literal 1 binary64))
#s(approx (- (/ 1 N) -1) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(literal 1 binary64))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 1/3 N) 1/2) (-.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 (neg (log N)) (neg.f64 (log.f64 N)))
#s(approx (log N) (log.f64 N))
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (/ 1 N) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))))))
#s(approx (neg (log N)) (log.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))))
#s(approx (log N) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))))

eval52.0ms (1.6%)

Memory
-28.1MiB live, 65.9MiB allocated; 8ms collecting garbage
Compiler

Compiled 9 555 to 1 581 computations (83.5% saved)

prune14.0ms (0.4%)

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

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New4351436
Fresh077
Picked055
Done033
Total43516451
Accuracy
100.0%
Counts
451 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.8%
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
31.8%
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
95.0%
(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)))
99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
99.2%
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
95.4%
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
31.0%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
90.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
93.6%
#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))
90.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
90.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
81.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
81.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
90.6%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
78.1%
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (neg.f64 (log.f64 N))))
Compiler

Compiled 286 to 213 computations (25.5% saved)

series273.0ms (8.3%)

Memory
-7.6MiB live, 131.4MiB allocated; 32ms collecting garbage
Counts
21 → 82
Calls
Call 1
Inputs
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
N
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 N N)
(-.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))
#s(literal -1 binary64)
(log.f64 N)
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(exp.f64 (neg.f64 (log.f64 N)))
(neg.f64 (log.f64 N))
(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N))
(exp.f64 #s(literal -1 binary64))
Outputs
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (- N -1)) #s(hole binary64 N))
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (log N)))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (log N)))))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (pow (exp -1) (log N)))) #s(hole binary64 (log (+ 1 (/ 1 N)))))
#s(approx (pow (exp -1) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (- N -1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (- N -1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (- N -1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (- N -1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (* -1 (log (/ 1 N)))))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (* -1 (log (/ 1 N)))))))
#s(approx (neg (log N)) #s(hole binary64 (log (/ 1 N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (- N -1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (- N -1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (- N -1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (- N -1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 N))))))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (+ (log -1) (* -1 (log (/ -1 N))))))))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))
#s(approx (log (+ 1 (pow (exp -1) (log N)))) #s(hole binary64 (log (+ 1 (exp (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))))))
#s(approx (pow (exp -1) (log N)) #s(hole binary64 (exp (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))))
Calls

3 calls:

TimeVariablePointExpression
120.0ms
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 (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log (+ 1 (pow (exp -1) (log N)))) (pow (exp -1) (log N)) (exp -1))
89.0ms
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 (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log (+ 1 (pow (exp -1) (log N)))) (pow (exp -1) (log N)) (exp -1))
63.0ms
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 (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log (+ 1 (pow (exp -1) (log N)))) (pow (exp -1) (log N)) (exp -1))

rewrite55.0ms (1.7%)

Memory
19.6MiB live, 19.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02681452
02921196
013351160
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
103 → 150
Calls
Call 1
Inputs
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
N
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 N N)
(-.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))
#s(literal -1 binary64)
(log.f64 N)
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(exp.f64 (neg.f64 (log.f64 N)))
(neg.f64 (log.f64 N))
(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N))
(exp.f64 #s(literal -1 binary64))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (- N -1)) #s(hole binary64 N))
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (log N)))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (log N)))))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (pow (exp -1) (log N)))) #s(hole binary64 (log (+ 1 (/ 1 N)))))
#s(approx (pow (exp -1) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (- N -1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (- N -1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (- N -1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (- N -1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (* -1 (log (/ 1 N)))))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (* -1 (log (/ 1 N)))))))
#s(approx (neg (log N)) #s(hole binary64 (log (/ 1 N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (- N -1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (- N -1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (- N -1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (- N -1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 N))))))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (+ (log -1) (* -1 (log (/ -1 N))))))))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))
#s(approx (log (+ 1 (pow (exp -1) (log N)))) #s(hole binary64 (log (+ 1 (exp (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))))))
#s(approx (pow (exp -1) (log N)) #s(hole binary64 (exp (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64)))
N
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (neg.f64 (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal 1/8 binary64)) (fma.f64 N N (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal 1/2 binary64)))))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 N N)
(pow.f64 N #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 N) #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)))
(/.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)))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log.f64 (-.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1 binary64)))))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 N)
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(log.f64 (+.f64 (exp.f64 (neg.f64 (log.f64 N))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 N) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 N)))
(-.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 N)))
(exp.f64 (neg.f64 (log.f64 N)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N))))
(*.f64 #s(literal -1 binary64) (log.f64 N))
(*.f64 (log.f64 N) #s(literal -1 binary64))
(neg.f64 (log.f64 N))
(-.f64 #s(literal 0 binary64) (log.f64 N))
(log.f64 (/.f64 #s(literal 1 binary64) N))
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(log.f64 (+.f64 (exp.f64 (neg.f64 (log.f64 N))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 N) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 N)))
(-.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 N)))
(exp.f64 (neg.f64 (log.f64 N)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N))))
(exp.f64 #s(literal -1 binary64))
(+.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal -1 binary64)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (+.f64 (neg.f64 (log.f64 N)) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (* (pow N -1/2) (pow N -1/2)) (/.f64 #s(literal 1 binary64) N))
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))
#s(approx N N)
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- N 1/2) #s(literal -1/2 binary64))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (* N N) (*.f64 N N))
#s(approx (- (log (- N -1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (- N -1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (- N -1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (- N -1)) (log N)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (- N -1)) N)
#s(approx (log (- N -1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N))
#s(approx (log (- N -1)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (log (- N -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (+.f64 #s(literal 1 binary64) N))
#s(approx (log N) (log.f64 N))
#s(approx (log (+ 1 (pow (exp -1) (log N)))) (log.f64 (+.f64 (exp.f64 (neg.f64 (log.f64 N))) #s(literal 1 binary64))))
#s(approx (exp (neg (log N))) (exp.f64 (neg.f64 (log.f64 N))))
#s(approx (neg (log N)) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (pow (exp -1) (log N)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
#s(approx (exp (neg (log N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- N 1/2) N)
#s(approx (- N 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (- N -1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (log (- N -1)) (neg.f64 (neg.f64 (log.f64 N))))
#s(approx (log (- N -1)) (+.f64 (neg.f64 (neg.f64 (log.f64 N))) (/.f64 #s(literal 1 binary64) N)))
#s(approx (log (- N -1)) (+.f64 (neg.f64 (neg.f64 (log.f64 N))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (log (- N -1)) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 N))) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (- N -1) N)
#s(approx (- N -1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))
#s(approx (log N) (neg.f64 (neg.f64 (log.f64 N))))
#s(approx (log (+ 1 (pow (exp -1) (log N)))) (log.f64 (+.f64 (exp.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 N))))) #s(literal 1 binary64))))
#s(approx (exp (neg (log N))) (exp.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 N))))))
#s(approx (neg (log N)) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N)) #s(literal -1 binary64)) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal -1 binary64)) N)))
#s(approx (* (pow N -1/2) (pow N -1/2)) (/.f64 #s(literal 1 binary64) N))
#s(approx (pow N -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (- N 1/2) (* N N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- N 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- (log (- N -1)) (log N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- (log (- N -1)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (- N -1)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (- N -1)) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (- N -1)) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal 1 binary64) N)) (log.f64 #s(literal -1 binary64))))
#s(approx (log (- N -1)) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (- N -1)) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))) (log.f64 #s(literal -1 binary64))))
#s(approx (log N) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 (pow (exp -1) (log N)))) (log.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))) #s(literal 1 binary64))))
#s(approx (exp (neg (log N))) (exp.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))))
#s(approx (neg (log N)) (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64)))))
#s(approx (log (+ 1 (pow (exp -1) (log N)))) (log.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))) #s(literal 1 binary64))))
#s(approx (exp (neg (log N))) (exp.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))))

eval45.0ms (1.4%)

Memory
-28.4MiB live, 15.8MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 323 to 463 computations (80.1% saved)

prune13.0ms (0.4%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (5 fresh and 12 done)

PrunedKeptTotal
New1652167
Fresh033
Picked145
Done088
Total16617183
Accuracy
100.0%
Counts
183 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.8%
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
31.8%
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
95.0%
(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)))
99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
99.1%
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))))
99.2%
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
95.4%
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
31.0%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
90.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
93.6%
#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))
90.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
90.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
81.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
81.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
90.6%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
78.1%
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (neg.f64 (log.f64 N))))
Compiler

Compiled 451 to 240 computations (46.8% saved)

regimes11.0ms (0.3%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (-.f64 (/.f64 #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 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #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 (+.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))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (neg.f64 (log.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 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 #s(literal -1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

6.0ms
N
4.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.8%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.8%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.2%)

Memory
-37.7MiB live, 8.9MiB allocated; 2ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (-.f64 (/.f64 #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 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
2.0ms
N
Results
AccuracySegmentsBranch
97.3%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
97.3%2N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
97.2%2N
97.2%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
90.6%1N
90.6%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
90.4%1N
90.4%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

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

Total -0.1b remaining (-0.9%)

Threshold costs -0.1b (-0.9%)

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

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
81.3%1N
81.3%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.035952384739971e-6
5.937495121344227e-6
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.035952384739971e-6
5.937495121344227e-6
Compiler

Compiled 10 to 10 computations (0% saved)

derivations177.0ms (5.4%)

Memory
-36.5MiB live, 112.8MiB allocated; 78ms collecting garbage
Stop Event
fuel
Compiler

Compiled 109 to 33 computations (69.7% saved)

preprocess64.0ms (2%)

Memory
32.5MiB live, 126.3MiB allocated; 9ms collecting garbage
Compiler

Compiled 306 to 134 computations (56.2% saved)

end0.0ms (0%)

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

Profiling

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