Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 (41.6%)

Memory

10.9MiB live, 1 469.9MiB allocated; 418ms collecting garbage

Samples

974.0ms	7 464×	1	valid
33.0ms	792×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 752.0ms

ival-log1p: 280.0ms (37.2% of total)

ival-log: 221.0ms (29.4% of total)

adjust: 204.0ms (27.1% of total)

ival-sub!: 47.0ms (6.3% of total)

Bogosity

preprocess70.0ms (2.3%)

Memory

-20.7MiB live, 23.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	33	20
2	89	18
3	366	18
4	3131	18

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.3%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 12 to 12 computations (0% saved)

series36.0ms (1.2%)

Memory

44.1MiB live, 44.1MiB allocated; 0ms collecting garbage

Counts

6 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
23.0ms	N	@	0	((- (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))
6.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite159.0ms (5.3%)

Memory

-19.6MiB live, 162.6MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	475
0	117	416
1	855	397
0	8445	332

Stop Event

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

Counts

33 → 108

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

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

eval10.0ms (0.3%)

Memory: 23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 888 to 389 computations (56.2% saved)

prune27.0ms (0.9%)

Memory

-58.1MiB live, 12.4MiB allocated; 44ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	7	104

Accuracy

99.9%

Counts

104 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.7%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
▶	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	30.1%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	93.0%	#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))
	94.5%	#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 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N)))) N))
▶	90.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	81.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 146 to 144 computations (1.4% saved)

series6.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

17 → 48

Calls

Call 1

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

rewrite200.0ms (6.7%)

Memory

-6.0MiB live, 183.7MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	870
0	230	777
1	1612	753
0	9394	732

Stop Event

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

Counts

65 → 288

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

eval32.0ms (1.1%)

Memory: 18.0MiB live, 60.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 2 206 to 1 052 computations (52.3% saved)

prune10.0ms (0.3%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	269	8	277
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	270	14	284

Accuracy

100.0%

Counts

284 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.7%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	95.5%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
✓	30.1%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	29.9%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
▶	89.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.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))) N))
	93.0%	#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))
✓	90.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	90.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
✓	81.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	89.9%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N)))
▶	89.8%	#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))))
▶	93.0%	#s(approx (log (+ 1 (/ 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)))
	94.6%	#s(approx (log (+ 1 (/ 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)))

Compiler

Compiled 278 to 278 computations (0% saved)

series124.0ms (4.1%)

Memory

-10.5MiB live, 177.4MiB allocated; 46ms collecting garbage

Counts

35 → 70

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
58.0ms	N	@	-inf	((log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N) N (- (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 (/ 1/2 N)) (/ 1 N)) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) (/ 1 N) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) (neg (/ (- (/ 1/3 N) 1/2) N)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (/ (- 1 (/ 1/4 (* N N))) (- 1 (/ -1/2 N))) N) (/ (- 1 (/ 1/4 (* N N))) (- 1 (/ -1/2 N))) (- 1 (/ 1/4 (* N N))) (/ 1/4 (* N N)) 1/4 (- 1 (/ -1/2 N)) (/ -1/2 N) -1/2)
35.0ms	N	@	0	((log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N) N (- (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 (/ 1/2 N)) (/ 1 N)) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) (/ 1 N) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) (neg (/ (- (/ 1/3 N) 1/2) N)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (/ (- 1 (/ 1/4 (* N N))) (- 1 (/ -1/2 N))) N) (/ (- 1 (/ 1/4 (* N N))) (- 1 (/ -1/2 N))) (- 1 (/ 1/4 (* N N))) (/ 1/4 (* N N)) 1/4 (- 1 (/ -1/2 N)) (/ -1/2 N) -1/2)
30.0ms	N	@	inf	((log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N) N (- (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 (/ 1/2 N)) (/ 1 N)) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) (/ 1 N) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) (neg (/ (- (/ 1/3 N) 1/2) N)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (/ (- 1 (/ 1/4 (* N N))) (- 1 (/ -1/2 N))) N) (/ (- 1 (/ 1/4 (* N N))) (- 1 (/ -1/2 N))) (- 1 (/ 1/4 (* N N))) (/ 1/4 (* N N)) 1/4 (- 1 (/ -1/2 N)) (/ -1/2 N) -1/2)

Time

Variable

Point

Expression

58.0ms

-inf

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

35.0ms

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

30.0ms

inf

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

rewrite234.0ms (7.8%)

Memory

-7.3MiB live, 176.8MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	1407
0	293	1244
1	1622	1183
0	8354	1163

Stop Event

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

Counts

105 → 808

Calls

Call 1

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

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

eval83.0ms (2.8%)

Memory: 28.2MiB live, 115.8MiB allocated; 16ms collecting garbage
Compiler: Compiled 5 317 to 2 704 computations (49.1% saved)

prune28.0ms (0.9%)

Memory

-37.9MiB live, 34.8MiB allocated; 32ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	523	6	529
Fresh	1	3	4
Picked	4	1	5
Done	0	5	5
Total	528	15	543

Accuracy

100.0%

Counts

543 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.7%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	99.3%	(log1p.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))))
▶	99.7%	(log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
✓	30.1%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	29.9%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
	93.0%	#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))
✓	90.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	81.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	89.9%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) N)))
✓	89.8%	#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))))
▶	90.0%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (-.f64 N #s(literal 1/2 binary64))))))
	89.7%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N)))))
	93.0%	#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
	94.6%	#s(approx (log (+ 1 (/ 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)))

Compiler

Compiled 290 to 286 computations (1.4% saved)

series42.0ms (1.4%)

Memory

19.0MiB live, 61.2MiB allocated; 8ms collecting garbage

Counts

22 → 59

Calls

Call 1

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

Outputs
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (sqrt (/ 1 (* N N))) #s(hole binary64 (/ 1 N)))
#s(approx (/ 1 (* N N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx N #s(hole binary64 N))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (/ (+ 1 N) 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 N) (- N 1/2)) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* (pow N 2) (- (* -4 N) 2))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* (pow N 2) (- (* N (- (* -8 N) 4)) 2))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* (pow N 2) (- (* N (- (* N (- (* -16 N) 8)) 4)) 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (/ 1 (/ N (- N 1/2))) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ 1 (/ N (- N 1/2))) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (* -2 N)))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (* N (- (* -4 N) 2))))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (* N (- (* N (- (* -8 N) 4)) 2))))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (* N (- (* N (- (* N (- (* -16 N) 8)) 4)) 2))))
#s(approx (log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) #s(hole binary64 (+ (log (pow (sqrt N) 2)) (* -2 (log N)))))
#s(approx (log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) #s(hole binary64 (+ (log (pow (sqrt N) 2)) (+ (* -2 (log N)) (/ (pow N 2) (pow (sqrt N) 2))))))
#s(approx (log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) #s(hole binary64 (+ (log (pow (sqrt N) 2)) (+ (* -2 (log N)) (* (pow N 2) (+ (* -1/2 (/ (pow N 2) (pow (sqrt N) 4))) (/ 1 (pow (sqrt N) 2))))))))
#s(approx (log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) #s(hole binary64 (+ (log (pow (sqrt N) 2)) (+ (* -2 (log N)) (* (pow N 2) (+ (* (pow N 2) (- (* 1/3 (/ (pow N 2) (pow (sqrt N) 6))) (* 1/2 (/ 1 (pow (sqrt N) 4))))) (/ 1 (pow (sqrt N) 2))))))))
#s(approx (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) #s(hole binary64 (/ (pow (sqrt N) 2) (pow N 2))))
#s(approx (sqrt (/ 1 N)) #s(hole binary64 (/ (sqrt N) N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 1))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* N (+ 1 (+ (/ 1/4 (pow N 2)) (* 1/2 (/ 1 N)))))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* N (+ 1 (+ (/ 1/4 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3)))))))))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ 1 (/ N (- N 1/2))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (+ 1 (* 1/2 (/ 1 N)))))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (+ 1 (+ (/ 1/4 (pow N 2)) (* 1/2 (/ 1 N))))))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (+ 1 (+ (/ 1/4 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))))))
#s(approx (log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) #s(hole binary64 (log (+ 1 (pow (sqrt (/ 1 N)) 2)))))
#s(approx (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) #s(hole binary64 (pow (sqrt (/ 1 N)) 2)))
#s(approx (sqrt (/ 1 N)) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ -1 N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (log (+ (/ 1 N) 1)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ (/ 1 N) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ (/ 1 N) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 N))) N)) 1)))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1/2 (+ (/ 1/8 (pow N 2)) (* 1/4 (/ 1 N)))) N)) 1)))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/8 (/ 1 N))) N)) 1/2) N)))))

Calls

3 calls:

Time	Variable		Point	Expression
23.0ms	N	@	-inf	((log (+ 1 (sqrt (/ 1 (* N N))))) (sqrt (/ 1 (* N N))) (/ 1 (* N N)) 1 (* N N) N (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ 1 (/ (* N N) (- N 1/2))) (/ (* N N) (- N 1/2)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 (/ N (- N 1/2))) (/ 1 N)) (/ 1 (/ N (- N 1/2))) (/ N (- N 1/2)) (log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (sqrt (/ 1 N)))
16.0ms	N	@	inf	((log (+ 1 (sqrt (/ 1 (* N N))))) (sqrt (/ 1 (* N N))) (/ 1 (* N N)) 1 (* N N) N (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ 1 (/ (* N N) (- N 1/2))) (/ (* N N) (- N 1/2)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 (/ N (- N 1/2))) (/ 1 N)) (/ 1 (/ N (- N 1/2))) (/ N (- N 1/2)) (log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (sqrt (/ 1 N)))
3.0ms	N	@	0	((log (+ 1 (sqrt (/ 1 (* N N))))) (sqrt (/ 1 (* N N))) (/ 1 (* N N)) 1 (* N N) N (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ 1 (/ (* N N) (- N 1/2))) (/ (* N N) (- N 1/2)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 (/ N (- N 1/2))) (/ 1 N)) (/ 1 (/ N (- N 1/2))) (/ N (- N 1/2)) (log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (sqrt (/ 1 N)))

Time

Variable

Point

Expression

23.0ms

-inf

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

16.0ms

inf

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

3.0ms

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

rewrite191.0ms (6.4%)

Memory

-7.0MiB live, 177.9MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	279	1251
0	307	1011
1	1891	944
0	9120	913

Stop Event

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

Counts

81 → 895

Calls

Call 1

Inputs
(log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
#s(literal 1 binary64)
(*.f64 N N)
N
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (-.f64 N #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (-.f64 N #s(literal 1/2 binary64))))
(/.f64 (*.f64 N N) (-.f64 N #s(literal 1/2 binary64)))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal 1/2 binary64))))
(/.f64 N (-.f64 N #s(literal 1/2 binary64)))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (sqrt (/ 1 (* N N))) #s(hole binary64 (/ 1 N)))
#s(approx (/ 1 (* N N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx N #s(hole binary64 N))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (/ (+ 1 N) 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 N) (- N 1/2)) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* (pow N 2) (- (* -4 N) 2))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* (pow N 2) (- (* N (- (* -8 N) 4)) 2))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* (pow N 2) (- (* N (- (* N (- (* -16 N) 8)) 4)) 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (/ 1 (/ N (- N 1/2))) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ 1 (/ N (- N 1/2))) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (* -2 N)))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (* N (- (* -4 N) 2))))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (* N (- (* N (- (* -8 N) 4)) 2))))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (* N (- (* N (- (* N (- (* -16 N) 8)) 4)) 2))))
#s(approx (log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) #s(hole binary64 (+ (log (pow (sqrt N) 2)) (* -2 (log N)))))
#s(approx (log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) #s(hole binary64 (+ (log (pow (sqrt N) 2)) (+ (* -2 (log N)) (/ (pow N 2) (pow (sqrt N) 2))))))
#s(approx (log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) #s(hole binary64 (+ (log (pow (sqrt N) 2)) (+ (* -2 (log N)) (* (pow N 2) (+ (* -1/2 (/ (pow N 2) (pow (sqrt N) 4))) (/ 1 (pow (sqrt N) 2))))))))
#s(approx (log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) #s(hole binary64 (+ (log (pow (sqrt N) 2)) (+ (* -2 (log N)) (* (pow N 2) (+ (* (pow N 2) (- (* 1/3 (/ (pow N 2) (pow (sqrt N) 6))) (* 1/2 (/ 1 (pow (sqrt N) 4))))) (/ 1 (pow (sqrt N) 2))))))))
#s(approx (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) #s(hole binary64 (/ (pow (sqrt N) 2) (pow N 2))))
#s(approx (sqrt (/ 1 N)) #s(hole binary64 (/ (sqrt N) N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 1))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* N (+ 1 (+ (/ 1/4 (pow N 2)) (* 1/2 (/ 1 N)))))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* N (+ 1 (+ (/ 1/4 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3)))))))))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ 1 (/ N (- N 1/2))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (+ 1 (* 1/2 (/ 1 N)))))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (+ 1 (+ (/ 1/4 (pow N 2)) (* 1/2 (/ 1 N))))))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (+ 1 (+ (/ 1/4 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))))))
#s(approx (log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) #s(hole binary64 (log (+ 1 (pow (sqrt (/ 1 N)) 2)))))
#s(approx (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) #s(hole binary64 (pow (sqrt (/ 1 N)) 2)))
#s(approx (sqrt (/ 1 N)) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ -1 N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (log (+ (/ 1 N) 1)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ (/ 1 N) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ (/ 1 N) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 N))) N)) 1)))))
#s(approx (/ (* N N) (- N 1/2)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1/2 (+ (/ 1/8 (pow N 2)) (* 1/4 (/ 1 N)))) N)) 1)))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (/ N (- N 1/2)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/8 (/ 1 N))) N)) 1/2) N)))))

Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 N) (log.f64 N)))) (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 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.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)) (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 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.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 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.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 #s(literal 0 binary64) (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 0 binary64))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 N) (neg.f64 N)) (/.f64 (sqrt.f64 N) (neg.f64 N)))
(.f64 (/.f64 (neg.f64 N) (.f64 (sqrt.f64 N) N)) (/.f64 (neg.f64 N) (*.f64 (sqrt.f64 N) N)))
(.f64 (/.f64 (neg.f64 N) (.f64 N N)) (/.f64 (neg.f64 N) N))
(.f64 (/.f64 (neg.f64 N) N) (/.f64 (neg.f64 N) (.f64 N N)))
(.f64 (/.f64 N (.f64 (sqrt.f64 N) N)) (/.f64 N (*.f64 (sqrt.f64 N) N)))
(*.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 N) N))) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 N) N))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (sqrt.f64 N)))) (exp.f64 (neg.f64 (log.f64 (sqrt.f64 N)))))
(*.f64 (pow.f64 (neg.f64 (/.f64 (sqrt.f64 N) N)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (/.f64 (sqrt.f64 N) N)) #s(literal 1 binary64)))
(*.f64 (/.f64 N N) (/.f64 #s(literal 1 binary64) N))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 N) N)) (neg.f64 (/.f64 (sqrt.f64 N) N)))
(*.f64 (/.f64 (sqrt.f64 N) N) (/.f64 (sqrt.f64 N) N))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N)
(.f64 (.f64 N N) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 N N))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(.f64 N (/.f64 #s(literal 1 binary64) (.f64 N N)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (sqrt.f64 N)))) #s(literal 2 binary64))
(pow.f64 (/.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 (sqrt.f64 N) N)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 N) #s(literal -2 binary64))
(pow.f64 (/.f64 (sqrt.f64 N) N) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 N N))) (neg.f64 (neg.f64 (.f64 (*.f64 N N) N))))
(/.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 (*.f64 N N))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (*.f64 N N))))
(/.f64 (neg.f64 (.f64 N N)) (neg.f64 (.f64 (*.f64 N N) N)))
(/.f64 (neg.f64 N) (neg.f64 (*.f64 N N)))
(/.f64 (/.f64 (sqrt.f64 N) N) (sqrt.f64 N))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 (.f64 N N) (.f64 (*.f64 N N) N))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 N #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 N (*.f64 N N))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) N)
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)))
(fabs.f64 (/.f64 #s(literal 1 binary64) N))
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) #s(literal 0 binary64)))
(exp.f64 (-.f64 (log.f64 N) (*.f64 (log.f64 (sqrt.f64 N)) #s(literal 4 binary64))))
(exp.f64 (-.f64 (log.f64 N) (*.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 N)) #s(literal 4 binary64)) (.f64 (log.f64 N) #s(literal 3 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 N)) #s(literal 4 binary64)) (.f64 (log.f64 (sqrt.f64 N)) #s(literal 6 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) #s(literal 3 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (sqrt.f64 N)) #s(literal 6 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 N)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 N)) #s(literal 1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 N)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N))))
(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)) (neg.f64 (/.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (*.f64 N N) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 N) #s(literal -4 binary64))
(pow.f64 (/.f64 (sqrt.f64 N) N) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))
(pow.f64 (*.f64 N N) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))
(pow.f64 N #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (.f64 #s(literal 2 binary64) N))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)) (neg.f64 N))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 N N))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 N N) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 N N)))
(/.f64 (/.f64 #s(literal 1 binary64) N) N)
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#s(approx (/ N (- N 1/2)) (*.f64 #s(literal -2 binary64) N))
#s(approx (/ N (- N 1/2)) (*.f64 (fma.f64 #s(literal -4 binary64) N #s(literal -2 binary64)) N))
#s(approx (/ N (- N 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) N #s(literal -4 binary64)) N #s(literal -2 binary64)) N))
#s(approx (/ N (- N 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) N #s(literal -8 binary64)) N #s(literal -4 binary64)) N #s(literal -2 binary64)) N))
#s(approx (log (+ (/ 1 N) 1)) (neg.f64 (log.f64 N)))
#s(approx (log (+ (/ 1 N) 1)) (-.f64 N (log.f64 N)))
#s(approx (log (+ (/ 1 N) 1)) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (*.f64 N N) #s(literal -1/2 binary64) N)))
#s(approx (log (+ (/ 1 N) 1)) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal 1/2 binary64) (.f64 N N))) (.f64 N N)) (.f64 N N) N)))
#s(approx (sqrt (/ 1 (* N N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (sqrt (/ 1 N)) (/.f64 (sqrt.f64 N) N))
#s(approx (log (+ (/ 1 N) 1)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ (/ 1 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)) N))
#s(approx (log (+ (/ 1 N) 1)) (/.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) #s(literal 1 binary64))
#s(approx (+ (/ 1 N) 1) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (/ (* N N) (- N 1/2)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (/ (* N N) (- N 1/2)) (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 1 binary64)) N))
#s(approx (/ (* N N) (- N 1/2)) (.f64 (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) N))) #s(literal 1 binary64)) N))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (/ 1 (/ N (- N 1/2))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (/ N (- N 1/2)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
#s(approx (/ N (- N 1/2)) (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 1 binary64)))
#s(approx (/ N (- N 1/2)) (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 N N) N))) #s(literal 1 binary64)))
#s(approx (log (+ (/ 1 N) 1)) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
#s(approx (sqrt (/ 1 (* N N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (sqrt (/ 1 N)) (/.f64 (sqrt.f64 N) N))
#s(approx (log (+ (/ 1 N) 1)) (/.f64 #s(literal -1 binary64) N))
#s(approx (log (+ (/ 1 N) 1)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)))
#s(approx (log (+ (/ 1 N) 1)) (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ (/ 1 N) 1)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ (/ 1 N) 1)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (log (+ (/ 1 N) 1)) (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 N) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (* N N) (- N 1/2)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (* N N) (- N 1/2)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 N N))) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1 binary64)) N)))
#s(approx (- N 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ N (- N 1/2)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) N) #s(literal 1/4 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)))

eval75.0ms (2.5%)

Memory: 40.5MiB live, 127.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 4 779 to 2 224 computations (53.5% saved)

prune23.0ms (0.8%)

Memory

-16.7MiB live, 38.9MiB allocated; 10ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	577	7	584
Fresh	2	2	4
Picked	4	1	5
Done	1	5	6
Total	584	15	599

Accuracy

100.0%

Counts

599 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.7%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
	99.6%	(log1p.f64 (/.f64 (.f64 N N) (.f64 (*.f64 N N) N)))
	99.6%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.4%	(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
✓	99.7%	(log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
	29.9%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
	93.0%	#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))
✓	90.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	81.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	89.9%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 N (-.f64 N #s(literal 1/2 binary64))))))
✓	89.8%	#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))))
	90.7%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) #s(approx (/ (* N N) (- N 1/2)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)))))
	89.7%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64)))))
	93.0%	#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))

Compiler

Compiled 357 to 295 computations (17.4% saved)

regimes18.0ms (0.6%)

Memory

-9.6MiB live, 33.2MiB allocated; 5ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.8%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0.3%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Counts

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

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

Outputs

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

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

Calls

2 calls:

4.0ms	N
3.0ms	(-.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)

regimes8.0ms (0.3%)

Memory

-36.1MiB live, 10.1MiB allocated; 2ms collecting garbage

Counts

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

Outputs

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

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

Calls

2 calls:

4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
3.0ms	N

Results

Accuracy	Segments	Branch
97.6%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.6%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory

15.0MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.5%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.5%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
90.0%	1	`N`
90.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

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 (-.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
89.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
89.8%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
81.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
81.9%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch9.0ms (0.3%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	132008.3073438352	247253.42397822833

Samples

5.0ms

64×

valid

Compiler

Compiled 122 to 128 computations (-4.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

adjust: 1.0ms (25.3% of total)

ival-log: 1.0ms (25.3% of total)

ival-log1p: 1.0ms (25.3% of total)

ival-sub!: 0.0ms (0% of total)

bsearch7.0ms (0.2%)

Memory

-37.4MiB live, 7.9MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	99360.60089302842	114173.71603390168

Samples

3.0ms

32×

valid

Compiler

Compiled 66 to 68 computations (-3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

adjust: 1.0ms (50.4% of total)

ival-log: 1.0ms (50.4% of total)

ival-log1p: 1.0ms (50.4% of total)

ival-sub!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.044425196525481e-6	7.575252137570487e-6

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations267.0ms (8.9%)

Memory

3.2MiB live, 150.8MiB allocated; 12ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 62 to 55 computations (11.3% saved)

preprocess68.0ms (2.3%)

Memory: 41.0MiB live, 84.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 102 to 89 computations (12.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (41.6%)

preprocess70.0ms (2.3%)

series36.0ms (1.2%)

rewrite159.0ms (5.3%)

eval10.0ms (0.3%)

prune27.0ms (0.9%)

series6.0ms (0.2%)

rewrite200.0ms (6.7%)

eval32.0ms (1.1%)

prune10.0ms (0.3%)

series124.0ms (4.1%)

rewrite234.0ms (7.8%)

eval83.0ms (2.8%)

prune28.0ms (0.9%)

series42.0ms (1.4%)

rewrite191.0ms (6.4%)

eval75.0ms (2.5%)

prune23.0ms (0.8%)

regimes18.0ms (0.6%)

regimes8.0ms (0.3%)

regimes8.0ms (0.3%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch9.0ms (0.3%)

bsearch7.0ms (0.2%)

bsearch0.0ms (0%)

derivations267.0ms (8.9%)

preprocess68.0ms (2.3%)

end0.0ms (0%)

Profiling