Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.2MiB live, 2.2MiB 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)

sample1.2s (53.8%)

Memory

32.8MiB live, 1 082.7MiB allocated; 211ms collecting garbage

Samples

874.0ms	7 470×	1	valid
106.0ms	786×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 779.0ms

ival-log1p: 292.0ms (37.5% of total)

ival-log: 281.0ms (36.1% of total)

adjust: 165.0ms (21.2% of total)

ival-sub!: 41.0ms (5.3% of total)

Bogosity

preprocess80.0ms (3.5%)

Memory

-31.7MiB live, 13.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	24	23
2	37	23
3	69	23
4	141	23
5	418	23
6	2938	23
7	7155	23

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.5%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 12 to 12 computations (0% saved)

series43.0ms (1.9%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms 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
21.0ms	N	@	0	((- (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))
6.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite207.0ms (9.1%)

Memory

-25.5MiB live, 64.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	516
0	131	452
1	766	421
0	7855	362

Stop Event

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

Counts

37 → 87

Calls

Call 1

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

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

eval7.0ms (0.3%)

Memory: 7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 624 to 290 computations (53.5% saved)

prune4.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	6	81

Accuracy

100.0%

Counts

81 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.9%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
▶	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	26.4%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
▶	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	84.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 108 to 108 computations (0% saved)

series6.0ms (0.3%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Counts

17 → 85

Calls

Call 1

Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))
(/.f64 N (-.f64 N #s(literal -1 binary64)))

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))

2.0ms

((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))

2.0ms

inf

((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))

rewrite135.0ms (6%)

Memory

12.1MiB live, 60.0MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	1498
0	250	1332
1	1195	1300
0	8701	1225

Stop Event

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

Counts

102 → 243

Calls

Call 1

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

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))) (log.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(exp.f64 (neg.f64 (log.f64 N)))
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))))
(/.f64 (-.f64 (neg.f64 N) (.f64 (neg.f64 N) (/.f64 #s(literal 1/2 binary64) N))) (.f64 (neg.f64 N) N))
(/.f64 (-.f64 (neg.f64 (neg.f64 N)) (.f64 N (/.f64 #s(literal 1/2 binary64) N))) (.f64 N N))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) (neg.f64 N))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(neg.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N))
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) (neg.f64 N)) (/.f64 #s(literal 1 binary64) N))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) N)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 N)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) N))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
(neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) N)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1/2 binary64) (neg.f64 N))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1/2 binary64) N)
(/.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) N))
#s(literal 1/2 binary64)
(/.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 (log.f64 N) (log.f64 N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
(/.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))
(/.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
(-.f64 (log.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64)))
(-.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)) (/.f64 #s(literal 1 binary64) N)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 (.f64 (/.f64 N N) (/.f64 N N)) (/.f64 #s(literal 1 binary64) (.f64 N N))) (+.f64 (/.f64 N N) (/.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N N) (/.f64 N N))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 N N)))
(/.f64 (-.f64 (pow.f64 (/.f64 N N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 N N) (/.f64 N N) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 N N) (/.f64 #s(literal -1 binary64) N)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (pow.f64 (/.f64 N N) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 (.f64 (/.f64 N N) (/.f64 N N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 N N)))))
(/.f64 (-.f64 (.f64 (neg.f64 N) N) (neg.f64 (neg.f64 N))) (.f64 (neg.f64 N) N))
(/.f64 (+.f64 (neg.f64 N) (.f64 (neg.f64 N) N)) (.f64 (neg.f64 N) N))
(/.f64 (+.f64 (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 N N))
(/.f64 (-.f64 (.f64 N N) (neg.f64 N)) (.f64 N N))
(/.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 N))
(/.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(neg.f64 (/.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))) N))
(neg.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) N) N))
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (/.f64 N N))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 N N))
(-.f64 (/.f64 N N) (/.f64 #s(literal -1 binary64) N))
(+.f64 (/.f64 N N) (/.f64 #s(literal 1 binary64) N))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (neg.f64 N) N) N))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) (.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 N #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N)))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (+.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N))))
(neg.f64 (-.f64 #s(literal -1 binary64) N))
(neg.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 (.f64 (.f64 N N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 N #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N)))) (/.f64 (.f64 (.f64 N N) N) (+.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N)))))
(+.f64 (/.f64 (.f64 (.f64 N N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(+.f64 #s(literal 1 binary64) N)
#s(literal -1 binary64)
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (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 (log.f64 N) (log.f64 N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
(/.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))
(/.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
(-.f64 (log.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64)))
(-.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)) (/.f64 #s(literal 1 binary64) N)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))
(log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 N)) (-.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 N) (neg.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 N (-.f64 N #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))))
(neg.f64 (/.f64 N (-.f64 #s(literal -1 binary64) N)))
(neg.f64 (/.f64 N (neg.f64 (-.f64 N #s(literal -1 binary64)))))
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- 1 (/ 1/2 N)) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- N -1) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- N -1) N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (/ N (- N -1))) (log.f64 N))
#s(approx (log (/ N (- N -1))) (+.f64 (neg.f64 N) (log.f64 N)))
#s(approx (log (/ N (- N -1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1 binary64)) N (log.f64 N)))
#s(approx (log (/ N (- N -1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/2 binary64)) N #s(literal -1 binary64)) N (log.f64 N)))
#s(approx (/ N (- N -1)) N)
#s(approx (/ N (- N -1)) (*.f64 (-.f64 #s(literal 1 binary64) N) N))
#s(approx (/ N (- N -1)) (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N))
#s(approx (/ N (- N -1)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) 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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- 1 (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (/ (- 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 (neg.f64 (neg.f64 N)) #s(literal 1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (log (/ N (- N -1))) (/.f64 #s(literal -1 binary64) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))) N))
#s(approx (/ N (- N -1)) #s(literal 1 binary64))
#s(approx (/ N (- N -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(approx (/ N (- N -1)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)))
#s(approx (/ N (- N -1)) (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N))))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal 1 binary64)) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (/ N (- N -1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)))
#s(approx (/ N (- N -1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) N)))

eval23.0ms (1%)

Memory: -25.8MiB live, 21.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 702 to 795 computations (53.3% saved)

prune9.0ms (0.4%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	216	8	224
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	217	13	230

Accuracy

100.0%

Counts

230 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.9%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	99.2%	(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
	95.2%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
✓	26.4%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	96.3%	#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))
▶	92.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
✓	84.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	92.4%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
▶	92.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))

Compiler

Compiled 274 to 258 computations (5.8% saved)

series18.0ms (0.8%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

39 → 123

Calls

Call 1

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

Outputs
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ 1/2 N) N) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ -1/4 N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ -1/8 (pow N 6))))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ (- (pow N 3) 1/8) (pow N 6))))
#s(approx (/ 1 (* (* N N) N)) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (pow (/ (/ 1/2 N) N) 3) #s(hole binary64 (/ 1/8 (pow N 6))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1/4 (* 1/2 N)) (pow N 4))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1/4 (* N (+ 1/2 N))) (pow N 4))))
#s(approx (/ 1 (* N N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) #s(hole binary64 (/ (+ 1/4 (* 1/2 N)) (pow N 4))))
#s(approx (* (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (/ 1/2 (pow N 3))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- 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 (- (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) 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 (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 1/3))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ (- 1 (* 1/8 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1 (* 1/2 (/ 1 N))) (pow N 2))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1 (+ (/ 1/4 (pow N 2)) (* 1/2 (/ 1 N)))) (pow N 2))))
#s(approx (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) #s(hole binary64 (/ 1/2 (pow N 3))))
#s(approx (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) #s(hole binary64 (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 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 (- (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (pow N 3))) 1) (pow N 3)))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	N	@	-inf	((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ 1/2 N) N)) (/ 1 N) 1 (/ (/ 1/2 N) N) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 -1 (- (log (+ N 1)) (log N)) (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (/ 1 (* (* N N) N)) (* (* N N) N) (pow (/ (/ 1/2 N) N) 3) 3 (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) (* (/ 1 N) (/ (/ 1/2 N) N)))
6.0ms	N	@	0	((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ 1/2 N) N)) (/ 1 N) 1 (/ (/ 1/2 N) N) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 -1 (- (log (+ N 1)) (log N)) (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (/ 1 (* (* N N) N)) (* (* N N) N) (pow (/ (/ 1/2 N) N) 3) 3 (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) (* (/ 1 N) (/ (/ 1/2 N) N)))
4.0ms	N	@	inf	((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ 1/2 N) N)) (/ 1 N) 1 (/ (/ 1/2 N) N) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 -1 (- (log (+ N 1)) (log N)) (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (/ 1 (* (* N N) N)) (* (* N N) N) (pow (/ (/ 1/2 N) N) 3) 3 (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) (* (/ 1 N) (/ (/ 1/2 N) N)))

Time

Variable

Point

Expression

6.0ms

-inf

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

6.0ms

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

4.0ms

inf

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

rewrite67.0ms (3%)

Memory

-23.1MiB live, 22.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	3040
0	416	2551
0	1775	2490

Stop Event

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

Counts

162 → 282

Calls

Call 1

Inputs
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
N
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1/2 binary64) N) N)
(/.f64 #s(literal 1/2 binary64) 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))
(/.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)
(-.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))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))
(.f64 (.f64 N N) N)
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ 1/2 N) N) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ -1/4 N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ -1/8 (pow N 6))))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ (- (pow N 3) 1/8) (pow N 6))))
#s(approx (/ 1 (* (* N N) N)) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (pow (/ (/ 1/2 N) N) 3) #s(hole binary64 (/ 1/8 (pow N 6))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1/4 (* 1/2 N)) (pow N 4))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1/4 (* N (+ 1/2 N))) (pow N 4))))
#s(approx (/ 1 (* N N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) #s(hole binary64 (/ (+ 1/4 (* 1/2 N)) (pow N 4))))
#s(approx (* (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (/ 1/2 (pow N 3))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- 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 (- (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) 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 (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 1/3))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ (- 1 (* 1/8 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1 (* 1/2 (/ 1 N))) (pow N 2))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1 (+ (/ 1/4 (pow N 2)) (* 1/2 (/ 1 N)))) (pow N 2))))
#s(approx (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) #s(hole binary64 (/ 1/2 (pow N 3))))
#s(approx (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) #s(hole binary64 (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 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 (- (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (pow N 3))) 1) (pow N 3)))))

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) 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 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64)))
N
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (neg.f64 (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 (/.f64 N (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) N))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal -1/8 binary64)) (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) N))
(-.f64 N #s(literal 1/2 binary64))
(+.f64 N #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 N N)
(pow.f64 N #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) N)
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) N) (.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(fma.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(fma.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 #s(literal -1 binary64) N))
#s(literal 1 binary64)
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N))
(/.f64 (/.f64 #s(literal 1/2 binary64) N) N)
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 N N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
(/.f64 #s(literal -1/2 binary64) (neg.f64 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))
(/.f64 (neg.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))) (neg.f64 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)
(-.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) N) (/.f64 #s(literal -1 binary64) N))
(/.f64 (-.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) (/.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)) (+.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)))
(/.f64 (-.f64 (pow.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 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) (+.f64 #s(literal 1 binary64) (*.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)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)))
(-.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))
(+.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))
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64))) (neg.f64 N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) N) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/4 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))
(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64))
(+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal -1/2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal 1/4 binary64) N) N))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/4 binary64) N))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/4 binary64) N) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))))
(neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(+.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) N)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1/4 binary64) (neg.f64 N))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#s(literal -1 binary64)
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#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N))) N))
#s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- N 1/2) N)
#s(approx (- N 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N))) N))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) #s(literal 1 binary64))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N))))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
#s(approx (- 1/3 (/ 1/4 N)) #s(literal 1/3 binary64))
#s(approx (- 1/3 (/ 1/4 N)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))
#s(approx (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N)))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) (.f64 N N)))
#s(approx (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 N N) N)))
#s(approx (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/2 binary64)) (.f64 (.f64 N N) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (* (pow N -1/2) (pow N -1/2)) (/.f64 #s(literal 1 binary64) N))
#s(approx (pow N -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- N 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- (/ 1 N) (/ (/ 1/2 N) N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) N) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) #s(literal 1 binary64)))
#s(approx (- (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) -1) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.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 (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
#s(approx (/ (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) N) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) N)))
#s(approx (- (/ (- 1/3 (/ 1/4 N)) N) 1/2) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))
#s(approx (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64)) (.f64 (.f64 N N) N))))

eval27.0ms (1.2%)

Memory: 28.7MiB live, 28.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 118 to 1 344 computations (56.9% saved)

prune14.0ms (0.6%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	291	6	297
Fresh	0	3	3
Picked	3	2	5
Done	0	5	5
Total	294	16	310

Accuracy

100.0%

Counts

310 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.9%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.1%	(log1p.f64 (.f64 (pow.f64 N #s(literal -1/2 binary64)) (.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))))
▶	96.4%	(log1p.f64 (.f64 (pow.f64 N #s(literal -1/2 binary64)) (exp.f64 (.f64 (log.f64 N) #s(literal -1/2 binary64)))))
▶	99.3%	(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
	95.2%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
✓	26.4%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
✓	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
✓	84.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	92.4%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
	92.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) N)) (.f64 N N))))
✓	92.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
▶	84.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))

Compiler

Compiled 296 to 292 computations (1.4% saved)

series29.0ms (1.3%)

Memory

-20.2MiB live, 26.7MiB allocated; 2ms collecting garbage

Counts

32 → 97

Calls

Call 1

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

Outputs
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx N #s(hole binary64 N))
#s(approx (/ 1 (sqrt N)) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (sqrt N) #s(hole binary64 (sqrt N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ 1/2 (* N N)) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ (+ 1/3 (pow N 2)) (pow N 2))))
#s(approx (/ 1/3 (* N N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (pow N -1/2) (exp (* (log N) -1/2))) #s(hole binary64 (/ 1 N)))
#s(approx (exp (* (log N) -1/2)) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (* (log N) -1/2) #s(hole binary64 (* -1/2 (log N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- 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 (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 1))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 (pow N 2))))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (* (log N) -1/2) #s(hole binary64 (* 1/2 (log (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
#s(approx (sqrt N) #s(hole binary64 (* -1 (* (sqrt N) (pow (sqrt -1) 2)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 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 (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (* (pow N -1/2) (exp (* (log N) -1/2))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (exp (* (log N) -1/2)) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
#s(approx (* (log N) -1/2) #s(hole binary64 (* -1/2 (+ (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
10.0ms	N	@	-inf	((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (pow N -1/2) (/ 1 (sqrt N)) 1 (sqrt N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 -1 (/ 1/2 N) (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) (* (pow N -1/2) (exp (* (log N) -1/2))) (exp (* (log N) -1/2)) (* (log N) -1/2) (log N))
10.0ms	N	@	0	((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (pow N -1/2) (/ 1 (sqrt N)) 1 (sqrt N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 -1 (/ 1/2 N) (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) (* (pow N -1/2) (exp (* (log N) -1/2))) (exp (* (log N) -1/2)) (* (log N) -1/2) (log N))
8.0ms	N	@	inf	((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (pow N -1/2) (/ 1 (sqrt N)) 1 (sqrt N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 -1 (/ 1/2 N) (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) (* (pow N -1/2) (exp (* (log N) -1/2))) (exp (* (log N) -1/2)) (* (log N) -1/2) (log N))

Time

Variable

Point

Expression

10.0ms

-inf

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

10.0ms

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

8.0ms

inf

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

rewrite60.0ms (2.6%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1985
0	319	1500
0	1371	1466

Stop Event

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

Counts

129 → 217

Calls

Call 1

Inputs
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))
(pow.f64 N #s(literal -1/2 binary64))
N
#s(literal -1/2 binary64)
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 N))
#s(literal 1 binary64)
(sqrt.f64 N)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
#s(approx (/ (- 1 (/ 1/2 N)) 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)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1/2 binary64) N)
(log1p.f64 (.f64 (pow.f64 N #s(literal -1/2 binary64)) (exp.f64 (.f64 (log.f64 N) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 N #s(literal -1/2 binary64)) (exp.f64 (.f64 (log.f64 N) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64)))
(*.f64 (log.f64 N) #s(literal -1/2 binary64))
(log.f64 N)
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx N #s(hole binary64 N))
#s(approx (/ 1 (sqrt N)) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (sqrt N) #s(hole binary64 (sqrt N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ 1/2 (* N N)) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ (+ 1/3 (pow N 2)) (pow N 2))))
#s(approx (/ 1/3 (* N N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (pow N -1/2) (exp (* (log N) -1/2))) #s(hole binary64 (/ 1 N)))
#s(approx (exp (* (log N) -1/2)) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (* (log N) -1/2) #s(hole binary64 (* -1/2 (log N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- 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 (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 1))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 (pow N 2))))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (* (log N) -1/2) #s(hole binary64 (* 1/2 (log (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
#s(approx (sqrt N) #s(hole binary64 (* -1 (* (sqrt N) (pow (sqrt -1) 2)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 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 (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (exp (* (log N) -1/2))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (* (pow N -1/2) (exp (* (log N) -1/2))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (exp (* (log N) -1/2)) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
#s(approx (* (log N) -1/2) #s(hole binary64 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))

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

eval22.0ms (1%)

Memory: -35.1MiB live, 16.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 440 to 697 computations (51.6% saved)

prune12.0ms (0.5%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (5 fresh and 11 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	1	3	4
Picked	1	4	5
Done	0	7	7
Total	173	16	189

Accuracy

100.0%

Counts

189 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.9%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	99.3%	(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
	99.0%	(log1p.f64 (.f64 (.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
	96.3%	(log1p.f64 (.f64 (exp.f64 (.f64 (log.f64 N) #s(literal -1/2 binary64))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
	95.2%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
✓	26.4%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
✓	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
✓	84.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	92.4%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
	92.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) N)) (.f64 N N))))
✓	92.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
✓	84.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))

Compiler

Compiled 360 to 304 computations (15.6% saved)

regimes11.0ms (0.5%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

23 → 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)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) N)) (.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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))
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(log1p.f64 (.f64 (exp.f64 (.f64 (log.f64 N) #s(literal -1/2 binary64))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
(log1p.f64 (.f64 (pow.f64 N #s(literal -1/2 binary64)) (exp.f64 (.f64 (log.f64 N) #s(literal -1/2 binary64)))))
(log1p.f64 (.f64 (.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(log1p.f64 (.f64 (pow.f64 N #s(literal -1/2 binary64)) (.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))))

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

Calls

2 calls:

6.0ms	N
4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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)

regimes5.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB 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)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 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
97.8%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.8%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.2%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.5%	1	`N`
92.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.2%)

Memory

-43.6MiB live, 3.7MiB allocated; 1ms 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)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.5%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.2%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.2b remaining (-1.7%)

Threshold costs -0.2b (-1.7%)

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)) #s(approx (/ (- 1 (/ 1/2 N)) 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
84.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
84.7%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.516043731721652e-6	4.194328560913618e-6

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.9206726018269364e-6	7.921860021298244e-6

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations177.0ms (7.8%)

Memory

39.0MiB live, 81.8MiB allocated; 9ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 54 to 45 computations (16.7% saved)

preprocess68.0ms (3%)

Memory: -38.9MiB live, 58.7MiB allocated; 20ms collecting garbage
Compiler: Compiled 94 to 79 computations (16% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.2s (53.8%)

preprocess80.0ms (3.5%)

series43.0ms (1.9%)

rewrite207.0ms (9.1%)

eval7.0ms (0.3%)

prune4.0ms (0.2%)

series6.0ms (0.3%)

rewrite135.0ms (6%)

eval23.0ms (1%)

prune9.0ms (0.4%)

series18.0ms (0.8%)

rewrite67.0ms (3%)

eval27.0ms (1.2%)

prune14.0ms (0.6%)

series29.0ms (1.3%)

rewrite60.0ms (2.6%)

eval22.0ms (1%)

prune12.0ms (0.5%)

regimes11.0ms (0.5%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations177.0ms (7.8%)

preprocess68.0ms (3%)

end0.0ms (0%)

Profiling