Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample2.1s (36.1%)

Memory

-4.4MiB live, 681.8MiB allocated; 213ms collecting garbage

Samples

1.6s	7 517×	1	valid
132.0ms	739×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-log1p: 566.0ms (44.2% of total)

ival-log: 431.0ms (33.7% of total)

adjust: 244.0ms (19.1% of total)

ival-sub!: 39.0ms (3% of total)

Bogosity

preprocess56.0ms (1%)

Memory

-14.7MiB live, 42.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	21	23
2	44	19
3	150	18
4	1111	18

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.6%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 12 to 12 computations (0% saved)

series184.0ms (3.2%)

Memory

48.7MiB live, 140.4MiB allocated; 7ms 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:

Time	Variable		Point	Expression
137.0ms	N	@	0	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
31.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
16.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite275.0ms (4.7%)

Memory

-9.0MiB live, 267.8MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	516
0	131	433
1	338	399
2	1081	397
3	7908	397
0	8005	337

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

37 → 101

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 0 binary64) (/.f64 #s(literal 1 binary64) N)))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log1p.f64 (+.f64 #s(literal 0 binary64) N))
(log1p.f64 N)
(log.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(*.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (*.f64 N (neg.f64 (-.f64 N #s(literal -1 binary64)))) (neg.f64 N))
(/.f64 (*.f64 N (-.f64 N #s(literal -1 binary64))) N)
(/.f64 (*.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))) N) (neg.f64 N))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(neg.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))))
(fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N #s(literal 0 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) N))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(.f64 (.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) N)) N)
(.f64 (.f64 (log.f64 N) N) (/.f64 #s(literal 1 binary64) N))
(*.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) N) (.f64 N (log.f64 N)))
(*.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))
(.f64 N (.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 N)))
(/.f64 (*.f64 (log.f64 N) (neg.f64 N)) (neg.f64 N))
(/.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (log.f64 N) N) N)
(/.f64 (*.f64 (neg.f64 N) (log.f64 N)) (neg.f64 N))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 2 binary64))
(/.f64 (*.f64 N (log.f64 N)) N)
(neg.f64 (neg.f64 (log.f64 N)))
(fma.f64 (.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) N)) N (.f64 (log.f64 N) #s(literal 0 binary64)))
(fma.f64 (.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) N)) N (.f64 #s(literal 0 binary64) (log.f64 N)))
(fma.f64 (.f64 (log.f64 N) N) (/.f64 #s(literal 1 binary64) N) (.f64 (log.f64 N) #s(literal 0 binary64)))
(fma.f64 (.f64 (log.f64 N) N) (/.f64 #s(literal 1 binary64) N) (.f64 #s(literal 0 binary64) (log.f64 N)))
(fma.f64 (log.f64 (neg.f64 N)) #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))
(fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))
(fma.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64) (*.f64 (log.f64 N) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (log.f64 N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (.f64 N (log.f64 N)) (.f64 (log.f64 N) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (.f64 N (log.f64 N)) (.f64 #s(literal 0 binary64) (log.f64 N)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 N))) (log.f64 #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 N)) (*.f64 (log.f64 N) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 N)) (*.f64 #s(literal 0 binary64) (log.f64 N)))
(fma.f64 (log.f64 N) #s(literal 1 binary64) (*.f64 (log.f64 N) #s(literal 0 binary64)))
(fma.f64 (log.f64 N) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (log.f64 N)))
(fma.f64 #s(literal 1 binary64) (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 N) (*.f64 (log.f64 N) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 N) (*.f64 #s(literal 0 binary64) (log.f64 N)))
(fma.f64 N (.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 N)) (.f64 (log.f64 N) #s(literal 0 binary64)))
(fma.f64 N (.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 N)) (.f64 #s(literal 0 binary64) (log.f64 N)))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N))))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 N)))
(+.f64 (log.f64 N) (*.f64 (log.f64 N) #s(literal 0 binary64)))
(+.f64 (log.f64 N) (*.f64 #s(literal 0 binary64) (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)) (fma.f64 (*.f64 #s(literal -1/2 binary64) N) N (-.f64 N (log.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 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 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) N)) (.f64 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 (log.f64 N) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (*.f64 N 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 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (neg.f64 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 (log.f64 N) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (*.f64 N N)) (log.f64 N)))
#s(approx (log N) (log.f64 N))

eval8.0ms (0.1%)

Memory: 19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 499 to 264 computations (47.1% saved)

prune98.0ms (1.7%)

Memory

-34.3MiB live, 11.0MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	82	6	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	6	89

Accuracy

99.9%

Counts

89 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	26.9%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (neg.f64 N)))
▶	91.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
▶	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (*.f64 N N)))
▶	83.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 122 to 122 computations (0% saved)

series7.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

20 → 75

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 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)
(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 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (*.f64 N N)))
(/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (*.f64 N N))
(+.f64 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 1/3 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 (/ (- 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) 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 (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#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 (/ (- 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) 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 (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 N))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 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 (/ (- 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) 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 (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	N	@	0	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (+ N (- (/ 1/3 N) 1/2)) (- (/ 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)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (+ N (- (/ 1/3 N) 1/2)) (- (/ 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)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (+ N (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3)

Time

Variable

Point

Expression

2.0ms

((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (+ N (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3)

2.0ms

-inf

((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (+ N (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3)

2.0ms

inf

((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (+ N (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3)

rewrite1.0s (17.4%)

Memory

-121.8MiB live, 605.0MiB allocated; 947ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	1305
0	198	1142
1	420	1071
2	1308	1065
0	8303	1056
0	27847	1023

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

95 → 1 081

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 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)
(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 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (*.f64 N N)))
(/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (*.f64 N N))
(+.f64 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 1/3 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 (/ (- 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) 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 (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#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 (/ (- 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) 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 (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 N))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 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 (/ (- 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) 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 (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (+ N (- (/ 1/3 N) 1/2)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))
(/.f64 (-.f64 (.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 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (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)))))
(fma.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64) (log.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)))
(fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 (-.f64 N #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 N)) (log.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)))
(fma.f64 #s(literal -1 binary64) (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))
(fma.f64 (log.f64 N) #s(literal -1 binary64) (log.f64 (-.f64 N #s(literal -1 binary64))))
(fma.f64 (log.f64 N) #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (log.f64 N) (log.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) (log.f64 N))
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(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64))) (.f64 N #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64))) (+.f64 N N))
(/.f64 (.f64 (neg.f64 N) (.f64 N (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)))) (.f64 (.f64 N N) N))
(/.f64 (.f64 (neg.f64 N) (.f64 N (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)))) (.f64 (.f64 (neg.f64 N) N) N))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 N (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)))) (.f64 N (.f64 N #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 N (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)))) (*.f64 N (+.f64 N N)))
(/.f64 (.f64 N (.f64 N (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)))) (.f64 (.f64 (neg.f64 N) N) N))
(/.f64 (.f64 N (.f64 N (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)))) (.f64 (.f64 N N) N))
(/.f64 (.f64 N (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64))) (.f64 (neg.f64 N) N))
(/.f64 (.f64 N (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64))) (.f64 N N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) #s(literal -1 binary64))
(/.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)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal -1/2 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(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))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) N) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.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 #s(literal -1/3 binary64) N))
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))
(+.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 (/.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 binary64) (/.f64 #s(literal -1/3 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) N))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal 1/3 binary64) N)) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal 1/3 binary64) N) #s(literal 0 binary64)))
(/.f64 #s(literal -2/3 binary64) (*.f64 N #s(literal -2 binary64)))
(/.f64 #s(literal 2/3 binary64) (*.f64 N #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -1/3 binary64) N) (.f64 (neg.f64 N) N))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) N) (.f64 N N))
(/.f64 #s(literal 1/3 binary64) N)
(neg.f64 (/.f64 (.f64 #s(literal 1/3 binary64) N) (.f64 (neg.f64 N) N)))
(neg.f64 (/.f64 (.f64 #s(literal -1/3 binary64) N) (.f64 N N)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) N))
(fma.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1/3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) N) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) N) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) N))
(+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 0 binary64))
#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))) (fma.f64 (*.f64 #s(literal -1/2 binary64) N) N (-.f64 N (log.f64 N))))
#s(approx (log (+ 1 (/ 1 N))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 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))) (fma.f64 (*.f64 #s(literal -1/2 binary64) N) N (-.f64 N (log.f64 N))))
#s(approx (log (+ 1 (/ 1 N))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 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 (+ 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))) (fma.f64 (*.f64 #s(literal -1/2 binary64) N) N (-.f64 N (log.f64 N))))
#s(approx (log (+ 1 (/ 1 N))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 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 (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N)))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (+ N (- (/ 1/3 N) 1/2)) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (+ N (- (/ 1/3 N) 1/2)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (+ N (- (/ 1/3 N) 1/2)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #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 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) 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)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- N 1/2) N)
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#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 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) 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 (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (+ N (- (/ 1/3 N) 1/2)) N)
#s(approx (+ N (- (/ 1/3 N) 1/2)) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (+ N (- (/ 1/3 N) 1/2)) (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) N #s(literal -1/2 binary64)))
#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 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #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 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) (* N N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (+ N (- (/ 1/3 N) 1/2)) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (+ N (- (/ 1/3 N) 1/2)) (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) N #s(literal -1/2 binary64)))

eval260.0ms (4.5%)

Memory: 43.7MiB live, 189.5MiB allocated; 34ms collecting garbage
Compiler: Compiled 8 937 to 3 224 computations (63.9% saved)

prune57.0ms (1%)

Memory

-4.9MiB live, 40.9MiB allocated; 4ms collecting garbage

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 045	13	1 058
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	1 047	17	1 064

Accuracy

100.0%

Counts

1 064 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))))))
	99.2%	(log1p.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))))
▶	99.6%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.5%	(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
▶	95.2%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
✓	26.9%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	26.8%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
	91.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
▶	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
✓	91.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
▶	83.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N)))
✓	83.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	91.3%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
	83.5%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
	91.1%	#s(approx (- (log (+ N 1)) (log N)) (.f64 N (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 (*.f64 N N) N))))
	95.3%	#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))

Compiler

Compiled 301 to 299 computations (0.7% saved)

series182.0ms (3.1%)

Memory

-31.7MiB live, 117.4MiB allocated; 57ms collecting garbage

Counts

23 → 85

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 #s(approx (- N 1/2) N) (*.f64 N N)))
(/.f64 #s(approx (- N 1/2) N) (*.f64 N N))
#s(approx (- N 1/2) 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 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
(-.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(log1p.f64 (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 (/ (- 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 (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)) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (- 1/2 N) #s(hole binary64 1/2))
#s(approx (- 1/2 N) #s(hole binary64 (+ 1/2 (* -1 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 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 (/ (- 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 (- (/ 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)) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 N))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- 1/2 N) #s(hole binary64 (* -1 N)))
#s(approx (- 1/2 N) #s(hole binary64 (* N (- (* 1/2 (/ 1 N)) 1))))
#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 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 (/ (- 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 (- (/ 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)) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#s(approx (- 1/2 N) #s(hole binary64 (* -1 (* N (- 1 (* 1/2 (/ 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 N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))

Calls

3 calls:

Time	Variable		Point	Expression
78.0ms	N	@	0	((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 N) 1 -1 (- (log (+ N 1)) (log N)) (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) (- (/ 1/3 N) (- 1/2 N)) (/ 1/3 N) 1/3 (- 1/2 N) 1/2 (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N))
74.0ms	N	@	inf	((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 N) 1 -1 (- (log (+ N 1)) (log N)) (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) (- (/ 1/3 N) (- 1/2 N)) (/ 1/3 N) 1/3 (- 1/2 N) 1/2 (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N))
29.0ms	N	@	-inf	((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 N) 1 -1 (- (log (+ N 1)) (log N)) (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) (- (/ 1/3 N) (- 1/2 N)) (/ 1/3 N) 1/3 (- 1/2 N) 1/2 (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N))

Time

Variable

Point

Expression

78.0ms

((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 N) 1 -1 (- (log (+ N 1)) (log N)) (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) (- (/ 1/3 N) (- 1/2 N)) (/ 1/3 N) 1/3 (- 1/2 N) 1/2 (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N))

74.0ms

inf

((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 N) 1 -1 (- (log (+ N 1)) (log N)) (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) (- (/ 1/3 N) (- 1/2 N)) (/ 1/3 N) 1/3 (- 1/2 N) 1/2 (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N))

29.0ms

-inf

((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 N) 1 -1 (- (log (+ N 1)) (log N)) (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) (- (/ 1/3 N) (- 1/2 N)) (/ 1/3 N) 1/3 (- 1/2 N) 1/2 (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N))

rewrite221.0ms (3.8%)

Memory

31.0MiB live, 213.8MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	1469
0	242	1264
1	528	1132
2	1787	1126
0	8568	1091

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

108 → 790

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 #s(approx (- N 1/2) N) (*.f64 N N)))
(/.f64 #s(approx (- N 1/2) N) (*.f64 N N))
#s(approx (- N 1/2) 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 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
(-.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(log1p.f64 (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 (/ (- 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 (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)) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (- 1/2 N) #s(hole binary64 1/2))
#s(approx (- 1/2 N) #s(hole binary64 (+ 1/2 (* -1 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 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 (/ (- 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 (- (/ 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)) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 N))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- 1/2 N) #s(hole binary64 (* -1 N)))
#s(approx (- 1/2 N) #s(hole binary64 (* N (- (* 1/2 (/ 1 N)) 1))))
#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 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 (/ (- 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 (- (/ 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)) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (- (/ 1/3 N) (- 1/2 N)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#s(approx (- 1/2 N) #s(hole binary64 (* -1 (* N (- 1 (* 1/2 (/ 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 N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(.f64 N (/.f64 #s(literal 1 binary64) (.f64 N N)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 N))
(pow.f64 (E.f64) (neg.f64 (log.f64 N)))
(pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) N) (-.f64 N (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
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#s(approx (- (/ 1/3 N) (- 1/2 N)) N)
#s(approx (- (/ 1/3 N) (- 1/2 N)) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (- (/ 1/3 N) (- 1/2 N)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)))
#s(approx (- 1/2 N) (neg.f64 N))
#s(approx (- 1/2 N) (-.f64 #s(literal 1/2 binary64) N))
#s(approx (log (+ 1 (/ N (* N N)))) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
#s(approx (/ N (* N 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 (* N N)))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (log (+ 1 (/ N (* N N)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (*.f64 N N))))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (log (+ 1 (/ N (* N N)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (*.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) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (log (+ 1 (/ N (* N N)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (*.f64 N N))))
#s(approx (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ 1/3 N) (- 1/2 N)) (* N N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (- (/ 1/3 N) (- 1/2 N)) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (- (/ 1/3 N) (- 1/2 N)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)))
#s(approx (- 1/2 N) (-.f64 #s(literal 1/2 binary64) N))
#s(approx (log (+ 1 (/ N (* N N)))) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
#s(approx (/ N (* N N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (neg (log N)) (neg.f64 (log.f64 N)))
#s(approx (log N) (log.f64 N))

eval85.0ms (1.5%)

Memory: 8.4MiB live, 147.8MiB allocated; 26ms collecting garbage
Compiler: Compiled 6 156 to 2 550 computations (58.6% saved)

prune19.0ms (0.3%)

Memory

-5.1MiB live, 40.5MiB allocated; 5ms collecting garbage

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	783	2	785
Fresh	2	6	8
Picked	0	5	5
Done	0	4	4
Total	785	17	802

Accuracy

100.0%

Counts

802 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.9%	(log1p.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 N)))
	99.2%	(log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
✓	99.6%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	99.5%	(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
✓	95.2%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
✓	26.9%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
✓	26.8%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
	91.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
✓	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
✓	91.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓	83.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N)))
✓	83.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	91.3%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
▶	83.5%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
	91.1%	#s(approx (- (log (+ N 1)) (log N)) (.f64 N (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 (*.f64 N N) N))))
▶	95.3%	#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))

Compiler

Compiled 240 to 240 computations (0% saved)

series162.0ms (2.8%)

Memory

26.4MiB live, 255.0MiB allocated; 35ms collecting garbage

Counts

28 → 102

Calls

Call 1

Inputs
(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N N))
#s(literal 1 binary64)
(*.f64 N N)
N
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64)))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal -1 binary64)
(log1p.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 N)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 N))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
(log.f64 N)

Outputs
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (/ 1 (* N N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ 1 (* N N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#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 (* N N)) (- N 1/2)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (* (/ 1 (* N N)) (- N 1/2)) #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 (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 (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (log (+ 1 (pow (/ 1 (E)) (log N)))) #s(hole binary64 (log (+ 1 (pow (/ 1 (E)) (log N))))))
#s(approx (pow (/ 1 (E)) (log N)) #s(hole binary64 (pow (/ 1 (E)) (log N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (/ 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 (* (/ 1 (* N N)) (- N 1/2)) #s(hole binary64 (/ 1 N)))
#s(approx (* (/ 1 (* N N)) (- N 1/2)) #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 (+ 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 (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) 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 (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 -1/2))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ -1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (log (+ 1 (pow (/ 1 (E)) (log N)))) #s(hole binary64 (log (+ 1 (exp (* -1 (* (log (/ 1 N)) (log (/ 1 (E))))))))))
#s(approx (pow (/ 1 (E)) (log N)) #s(hole binary64 (exp (* -1 (* (log (/ 1 N)) (log (/ 1 (E))))))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (* (/ 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 (* (/ 1 (* N N)) (- N 1/2)) #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 (+ 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 (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
#s(approx (log (+ 1 (pow (/ 1 (E)) (log N)))) #s(hole binary64 (log (+ 1 (exp (* (log (/ 1 (E))) (+ (log -1) (* -1 (log (/ -1 N))))))))))
#s(approx (pow (/ 1 (E)) (log N)) #s(hole binary64 (exp (* (log (/ 1 (E))) (+ (log -1) (* -1 (log (/ -1 N))))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))

Calls

3 calls:

Time	Variable		Point	Expression
79.0ms	N	@	-inf	((log (+ 1 (* (/ 1 (* N N)) N))) (* (/ 1 (* N N)) N) (/ 1 (* N N)) 1 (* N N) N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (* (/ 1 (* N N)) (- N 1/2)) (- N 1/2) 1/2 (log (+ 1 (/ 1 N))) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) -1/2 (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1 (log (+ 1 (pow (/ 1 (E)) (log N)))) (pow (/ 1 (E)) (log N)) (/ 1 (E)) (E) (log N))
43.0ms	N	@	inf	((log (+ 1 (* (/ 1 (* N N)) N))) (* (/ 1 (* N N)) N) (/ 1 (* N N)) 1 (* N N) N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (* (/ 1 (* N N)) (- N 1/2)) (- N 1/2) 1/2 (log (+ 1 (/ 1 N))) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) -1/2 (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1 (log (+ 1 (pow (/ 1 (E)) (log N)))) (pow (/ 1 (E)) (log N)) (/ 1 (E)) (E) (log N))
38.0ms	N	@	0	((log (+ 1 (* (/ 1 (* N N)) N))) (* (/ 1 (* N N)) N) (/ 1 (* N N)) 1 (* N N) N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (* (/ 1 (* N N)) (- N 1/2)) (- N 1/2) 1/2 (log (+ 1 (/ 1 N))) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) -1/2 (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1 (log (+ 1 (pow (/ 1 (E)) (log N)))) (pow (/ 1 (E)) (log N)) (/ 1 (E)) (E) (log N))

Time

Variable

Point

Expression

79.0ms

-inf

((log (+ 1 (* (/ 1 (* N N)) N))) (* (/ 1 (* N N)) N) (/ 1 (* N N)) 1 (* N N) N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (* (/ 1 (* N N)) (- N 1/2)) (- N 1/2) 1/2 (log (+ 1 (/ 1 N))) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) -1/2 (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1 (log (+ 1 (pow (/ 1 (E)) (log N)))) (pow (/ 1 (E)) (log N)) (/ 1 (E)) (E) (log N))

43.0ms

inf

((log (+ 1 (* (/ 1 (* N N)) N))) (* (/ 1 (* N N)) N) (/ 1 (* N N)) 1 (* N N) N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (* (/ 1 (* N N)) (- N 1/2)) (- N 1/2) 1/2 (log (+ 1 (/ 1 N))) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) -1/2 (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1 (log (+ 1 (pow (/ 1 (E)) (log N)))) (pow (/ 1 (E)) (log N)) (/ 1 (E)) (E) (log N))

38.0ms

((log (+ 1 (* (/ 1 (* N N)) N))) (* (/ 1 (* N N)) N) (/ 1 (* N N)) 1 (* N N) N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (* (/ 1 (* N N)) (- N 1/2)) (- N 1/2) 1/2 (log (+ 1 (/ 1 N))) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) -1/2 (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1 (log (+ 1 (pow (/ 1 (E)) (log N)))) (pow (/ 1 (E)) (log N)) (/ 1 (E)) (E) (log N))

rewrite345.0ms (5.9%)

Memory

-37.3MiB live, 169.5MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	2169
0	304	1899
1	671	1758
2	2250	1744
0	8327	1710

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

130 → 1 252

Calls

Call 1

Inputs
(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N N))
#s(literal 1 binary64)
(*.f64 N N)
N
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64)))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal -1 binary64)
(log1p.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 N)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 N))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
(log.f64 N)
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (/ 1 (* N N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ 1 (* N N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#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 (* N N)) (- N 1/2)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (* (/ 1 (* N N)) (- N 1/2)) #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 (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 (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (log (+ 1 (pow (/ 1 (E)) (log N)))) #s(hole binary64 (log (+ 1 (pow (/ 1 (E)) (log N))))))
#s(approx (pow (/ 1 (E)) (log N)) #s(hole binary64 (pow (/ 1 (E)) (log N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (/ 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 (* (/ 1 (* N N)) (- N 1/2)) #s(hole binary64 (/ 1 N)))
#s(approx (* (/ 1 (* N N)) (- N 1/2)) #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 (+ 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 (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) 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 (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 -1/2))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ -1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (log (+ 1 (pow (/ 1 (E)) (log N)))) #s(hole binary64 (log (+ 1 (exp (* -1 (* (log (/ 1 N)) (log (/ 1 (E))))))))))
#s(approx (pow (/ 1 (E)) (log N)) #s(hole binary64 (exp (* -1 (* (log (/ 1 N)) (log (/ 1 (E))))))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (* (/ 1 (* N N)) N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (* (/ 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 (* (/ 1 (* N N)) (- N 1/2)) #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 (+ 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 (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
#s(approx (log (+ 1 (pow (/ 1 (E)) (log N)))) #s(hole binary64 (log (+ 1 (exp (* (log (/ 1 (E))) (+ (log -1) (* -1 (log (/ -1 N))))))))))
#s(approx (pow (/ 1 (E)) (log N)) #s(hole binary64 (exp (* (log (/ 1 (E))) (+ (log -1) (* -1 (log (/ -1 N))))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))

Outputs
(log1p.f64 (.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (.f64 N N))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 N (fabs.f64 N)))
(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (neg.f64 N) N))
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 N N))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N)
(.f64 N (/.f64 #s(literal 1 binary64) (.f64 N N)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 N))
(pow.f64 (E.f64) (neg.f64 (log.f64 N)))
(pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) N) (+.f64 (/.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) N) (-.f64 (/.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) N))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) N) N))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 N (/.f64 #s(literal 1 binary64) N)) N) (*.f64 N N))
(/.f64 (.f64 (/.f64 N (fabs.f64 N)) N) (.f64 (fabs.f64 N) N))
(/.f64 (.f64 (/.f64 (neg.f64 N) N) N) (.f64 (neg.f64 N) N))
(/.f64 (.f64 (/.f64 N N) N) (.f64 N N))
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#s(approx (* (/ 1 (* N N)) (- N 1/2)) (/.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 (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 (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 (*.f64 N N) N) N)))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (.f64 (.f64 (*.f64 N N) N) N)))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 (*.f64 N N) N) N)))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 (*.f64 N N) N) N)))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N)))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N)))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(approx (- (/ 1/4 N) 1/3) (/.f64 #s(literal 1/4 binary64) N))
#s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N))
#s(approx (/ 1/4 N) (/.f64 #s(literal 1/4 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))))
#s(approx (pow (/ 1 (E)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (log N) (log.f64 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (* (/ 1 (* N N)) (- N 1/2)) (/.f64 #s(literal 1 binary64) N))
#s(approx (* (/ 1 (* N N)) (- N 1/2)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 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 (+ 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) #s(literal 1 binary64))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) #s(literal -1/2 binary64))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 #s(literal -1/3 binary64) N))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(approx (- (/ 1/4 N) 1/3) #s(literal -1/3 binary64))
#s(approx (- (/ 1/4 N) 1/3) (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
#s(approx (log (+ 1 (/ 1 N))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))))
#s(approx (pow (/ 1 (E)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (log N) (log.f64 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (* (/ 1 (* N N)) (- N 1/2)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- N 1/2) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
#s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N))
#s(approx (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))))
#s(approx (pow (/ 1 (E)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (log N) (log.f64 N))

eval191.0ms (3.3%)

Memory: 25.0MiB live, 165.8MiB allocated; 19ms collecting garbage
Compiler: Compiled 13 057 to 5 548 computations (57.5% saved)

prune30.0ms (0.5%)

Memory

-4.5MiB live, 41.2MiB allocated; 4ms collecting garbage

Pruning

18 alts after pruning (5 fresh and 13 done)

	Pruned	Kept	Total
New	1 242	2	1 244
Fresh	0	3	3
Picked	1	4	5
Done	0	9	9
Total	1 243	18	1 261

Accuracy

100.0%

Counts

1 261 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
✓	99.6%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.6%	(log1p.f64 (*.f64 (pow.f64 N #s(literal -2 binary64)) N))
✓	99.5%	(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
✓	95.2%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
✓	26.9%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
✓	26.8%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
	91.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
✓	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
✓	91.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
	91.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	83.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N)))
✓	83.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	91.3%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
✓	83.5%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
	91.1%	#s(approx (- (log (+ N 1)) (log N)) (.f64 N (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 (*.f64 N N) N))))
✓	95.3%	#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))

Compiler

Compiled 312 to 267 computations (14.4% saved)

regimes22.0ms (0.4%)

Memory

-31.1MiB live, 15.4MiB allocated; 3ms collecting garbage

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- N 1/2) 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 N N)) 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 N #s(literal 1/2 binary64)) N) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 N (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (*.f64 N N)))
(log1p.f64 (/.f64 N (*.f64 N N)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (neg.f64 N)))
(log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(log1p.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))))
(log1p.f64 (*.f64 (pow.f64 N #s(literal -2 binary64)) N))
(log1p.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 N)))
(log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))))))

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))

Calls

2 calls:

15.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
6.0ms	N

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.9%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- N 1/2) 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 N N)) 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 N #s(literal 1/2 binary64)) N) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))

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:

3.0ms	N
2.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
97.7%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.7%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- N 1/2) 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 N N)) 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 N #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
2.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
91.6%	1	`N`
91.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB 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 #s(approx (- N 1/2) 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 N N)) N))

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))

Calls

2 calls:

2.0ms	N
1.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
91.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.3%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.2b remaining (-1.5%)

Threshold costs -0.2b (-1.5%)

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 #s(approx (- N 1/2) 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

Accuracy	Segments	Branch
83.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
83.8%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9981442971328534e-6	6.251862826545107e-6

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations420.0ms (7.2%)

Memory

-27.5MiB live, 299.6MiB allocated; 42ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 35 to 29 computations (17.1% saved)

preprocess68.0ms (1.2%)

Memory: 25.9MiB live, 118.1MiB allocated; 62ms collecting garbage
Compiler: Compiled 75 to 63 computations (16% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.1s (36.1%)

preprocess56.0ms (1%)

series184.0ms (3.2%)

rewrite275.0ms (4.7%)

eval8.0ms (0.1%)

prune98.0ms (1.7%)

series7.0ms (0.1%)

rewrite1.0s (17.4%)

eval260.0ms (4.5%)

prune57.0ms (1%)

series182.0ms (3.1%)

rewrite221.0ms (3.8%)

eval85.0ms (1.5%)

prune19.0ms (0.3%)

series162.0ms (2.8%)

rewrite345.0ms (5.9%)

eval191.0ms (3.3%)

prune30.0ms (0.5%)

regimes22.0ms (0.4%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

derivations420.0ms (7.2%)

preprocess68.0ms (1.2%)

end0.0ms (0%)

Profiling