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)

sample1.6s (54%)

Memory

43.5MiB live, 1 209.7MiB allocated; 1.2s collecting garbage

Samples

1.4s	7 476×	1	valid
31.0ms	779×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-log1p: 695.0ms (62% of total)

ival-log: 233.0ms (20.8% of total)

adjust: 152.0ms (13.6% of total)

ival-sub!: 40.0ms (3.6% of total)

Bogosity

preprocess76.0ms (2.5%)

Memory

-34.1MiB live, 22.6MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	16	26
2	19	26
3	33	26
4	76	26
5	321	24
6	2820	24
7	6223	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.3%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 12 to 12 computations (0% saved)

series54.0ms (1.8%)

Memory

18.2MiB live, 62.5MiB allocated; 10ms collecting garbage

Counts

6 → 31

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
26.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
22.0ms	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))

rewrite211.0ms (7%)

Memory

25.4MiB live, 165.6MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	516
0	131	453
1	714	428
0	6908	369

Stop Event

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

Counts

37 → 79

Calls

Call 1

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

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

eval13.0ms (0.4%)

Memory: -32.8MiB live, 12.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 593 to 283 computations (52.3% saved)

prune4.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	6	74

Accuracy

99.9%

Counts

74 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	27.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
▶	91.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	94.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
▶	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 132 to 128 computations (3% saved)

series8.0ms (0.3%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

21 → 78

Calls

Call 1

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

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

Calls

3 calls:

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

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

2.0ms

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

2.0ms

inf

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

rewrite197.0ms (6.5%)

Memory

-7.5MiB live, 149.6MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	1381
0	209	1237
1	788	1172
0	6350	1160

Stop Event

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

Counts

99 → 450

Calls

Call 1

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

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 N (*.f64 N N))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(exp.f64 (neg.f64 (log.f64 N)))
#s(literal 1 binary64)
N
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (.f64 N N))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 N) N)))
(/.f64 (-.f64 (neg.f64 N) (.f64 (neg.f64 N) (/.f64 #s(literal 1/2 binary64) N))) (.f64 (neg.f64 N) N))
(/.f64 (-.f64 N (.f64 N (/.f64 #s(literal 1/2 binary64) N))) (.f64 N N))
(/.f64 (-.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) #s(literal 1/2 binary64))) (.f64 (.f64 N N) (*.f64 N N)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 N N))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (.f64 (-.f64 N #s(literal -1/2 binary64)) (.f64 N N)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) N))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N))
(/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal 1/8 binary64)) (.f64 (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64))) (.f64 N N)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N))
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(neg.f64 (/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (*.f64 N N)))
(neg.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)))
(neg.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (neg.f64 N) N)))
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64)))) N)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) N)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 N) N) (.f64 #s(literal -1/2 binary64) N)) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 N)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) N))) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal 1/8 binary64)) (*.f64 (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64))) N))
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (neg.f64 N))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(neg.f64 (/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) N))
(neg.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (neg.f64 N)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(fma.f64 N (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) N)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 N))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 #s(literal 1/2 binary64) N)
(/.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) N))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))) N)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 N N) (neg.f64 N)) (.f64 N N))
(/.f64 (+.f64 (neg.f64 N) (.f64 (neg.f64 N) N)) (.f64 (neg.f64 N) N))
(/.f64 (+.f64 N (.f64 N N)) (.f64 N N))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (neg.f64 N) #s(literal 2 binary64))) (.f64 (neg.f64 N) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 N #s(literal 2 binary64))) (.f64 N #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 N) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) N))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (-.f64 #s(literal 1 binary64) N) N))
(/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) N))
(/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) N))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(neg.f64 (/.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))) N))
(neg.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)))
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
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(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(fma.f64 N (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/3 binary64) (.f64 N N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (/.f64 (.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N))
(+.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 N N)))) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (*.f64 N N) N)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 N N) N)) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 N N)) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 N N) N)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 N N)))) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 N N) N)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64))) N)
(/.f64 (fma.f64 #s(literal -1/3 binary64) N (.f64 (neg.f64 N) (.f64 #s(literal -1/2 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N (.f64 (.f64 N N) #s(literal -1/2 binary64))) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 N N))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/4 binary64) (.f64 N N))) (.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 N N) N))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 N N) N)) #s(literal 1/8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 N N) N) #s(literal 1/27 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) N) (-.f64 (*.f64 #s(literal -1/2 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) N))
(/.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) (neg.f64 N))
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N)
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (neg.f64 N)))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 N N) N)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (*.f64 #s(literal 1/2 binary64) N) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) N)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
(*.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 #s(literal 1/3 binary64) N)
(neg.f64 (/.f64 #s(literal -1/3 binary64) N))
#s(literal 1/3 binary64)
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- 1 (/ 1/2 N)) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- N -1) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- N -1) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (- (/ 1/3 N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (/ 1/3 N) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
#s(approx (/ (- N -1) N) #s(literal 1 binary64))
#s(approx (/ (- N -1) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (- N -1) N)
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(literal 1 binary64))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 1/3 N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))

eval44.0ms (1.4%)

Memory: 24.8MiB live, 69.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 636 to 1 659 computations (54.4% saved)

prune16.0ms (0.5%)

Memory

-22.3MiB live, 22.5MiB allocated; 7ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	400	8	408
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	401	13	414

Accuracy

100.0%

Counts

414 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	95.2%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
✓	27.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
	94.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	90.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) #s(literal 1/2 binary64))) (.f64 (.f64 N N) (*.f64 N N))))
	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓	91.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	83.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	91.4%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
▶	93.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))

Compiler

Compiled 264 to 254 computations (3.8% saved)

series9.0ms (0.3%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Counts

23 → 73

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	N	@	-inf	((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) 1/3 (* (* N N) N) (- (log (+ N 1)) (log N)) (/ (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) (* N N))) (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) 1/2) (* (* N N) (* N N)))
3.0ms	N	@	inf	((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) 1/3 (* (* N N) N) (- (log (+ N 1)) (log N)) (/ (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) (* N N))) (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) 1/2) (* (* N N) (* N N)))
2.0ms	N	@	0	((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) 1/3 (* (* N N) N) (- (log (+ N 1)) (log N)) (/ (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) (* N N))) (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) 1/2) (* (* N N) (* N N)))

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite209.0ms (6.9%)

Memory

-30.9MiB live, 157.5MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1555
0	229	1298
1	857	1201
0	6983	1192

Stop Event

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

Counts

96 → 647

Calls

Call 1

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

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (.f64 (neg.f64 N) N)) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (*.f64 (neg.f64 N) N)))
(.f64 (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (.f64 N N)) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (*.f64 N N)))
(.f64 (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (.f64 (*.f64 N N) N)) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) N))
(.f64 (/.f64 (pow.f64 N #s(literal 3/2 binary64)) N) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (.f64 (*.f64 N N) N)))
(.f64 (/.f64 N (.f64 (neg.f64 N) N)) (/.f64 (.f64 N N) (.f64 (neg.f64 N) N)))
(.f64 (/.f64 (.f64 N N) (.f64 (neg.f64 N) N)) (/.f64 N (.f64 (neg.f64 N) N)))
(.f64 (/.f64 (.f64 N N) (.f64 (.f64 N N) N)) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 N N) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(.f64 (/.f64 (.f64 N N) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (.f64 (.f64 (.f64 N N) N) N)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 (*.f64 N N) N))
(.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (.f64 N N) (*.f64 N N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(.f64 (.f64 N N) (/.f64 N (.f64 (.f64 (*.f64 N N) N) N)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 N N) (.f64 (.f64 N N) N)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(.f64 N (/.f64 #s(literal 1 binary64) (.f64 N N)))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 N N) N) (.f64 (neg.f64 N) N)) (.f64 (neg.f64 N) N))
(/.f64 (/.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N)) N)
(/.f64 (/.f64 (.f64 (.f64 N N) N) N) (.f64 (.f64 N N) N))
(/.f64 (/.f64 N (neg.f64 N)) (neg.f64 N))
(/.f64 (/.f64 N (fabs.f64 N)) (fabs.f64 N))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) (.f64 (neg.f64 N) N))
(/.f64 (/.f64 (.f64 (.f64 N N) N) (.f64 N N)) (.f64 N N))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 N)) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(/.f64 (.f64 #s(literal 2 binary64) N) (.f64 #s(literal 2 binary64) (*.f64 N N)))
(/.f64 (.f64 (.f64 (neg.f64 N) N) N) (.f64 (.f64 (*.f64 (neg.f64 N) N) N) N))
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))
(/.f64 (.f64 (.f64 N N) N) (.f64 (.f64 (*.f64 N N) N) N))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(neg.f64 (/.f64 (neg.f64 N) (*.f64 N N)))
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 N (*.f64 (neg.f64 N) N)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 N)))
(exp.f64 (-.f64 (.f64 #s(literal 3 binary64) (log.f64 N)) (.f64 #s(literal 4 binary64) (log.f64 N))))
(exp.f64 (neg.f64 (log.f64 N)))
N
(.f64 (.f64 (neg.f64 N) #s(literal 1 binary64)) (*.f64 (neg.f64 N) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 N) #s(literal 1 binary64)) (*.f64 (fabs.f64 N) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 #s(literal 1 binary64) (neg.f64 N)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) (neg.f64 N))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 #s(literal 1 binary64) (fabs.f64 N)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (fabs.f64 N))
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)))
(*.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)))
(.f64 (neg.f64 N) (.f64 (neg.f64 N) #s(literal 1 binary64)))
(*.f64 (neg.f64 N) (neg.f64 N))
(.f64 (fabs.f64 N) (.f64 (fabs.f64 N) #s(literal 1 binary64)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(.f64 (.f64 N N) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 N N))
(*.f64 N N)
(pow.f64 (neg.f64 N) #s(literal 2 binary64))
(pow.f64 (fabs.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(/.f64 (.f64 (.f64 N N) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 N N)) #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 N N) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 N N)))
(neg.f64 (*.f64 (neg.f64 N) N))
(sqrt.f64 (.f64 (.f64 (*.f64 N N) N) N))
(fabs.f64 (*.f64 (neg.f64 N) N))
(fabs.f64 (*.f64 N N))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (log.f64 N))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 N))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(*.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 (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 (-.f64 N #s(literal 1/2 binary64)) (.f64 (neg.f64 N) N)) (/.f64 (.f64 N N) (.f64 (neg.f64 N) N)))
(.f64 (/.f64 (.f64 N N) (.f64 (neg.f64 N) N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 (neg.f64 N) N)))
(.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 (.f64 N N) (.f64 (.f64 N N) N)))
(*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(.f64 (/.f64 (.f64 N N) (.f64 (.f64 N N) N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
(.f64 (/.f64 (.f64 N N) (.f64 N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 N N)))
(.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 (.f64 N N) N)) (/.f64 (.f64 N N) N))
(.f64 (/.f64 (.f64 N N) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 (.f64 N N) N)))
(.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N)))
(.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 N N)) (/.f64 (.f64 N N) (.f64 N N)))
(.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 N N)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
(.f64 (.f64 N N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 (.f64 (*.f64 N N) N) N)))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 N N)))
(.f64 N (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 (*.f64 N N) N)))
(/.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (pow.f64 N #s(literal 3/2 binary64))) (pow.f64 N #s(literal 3/2 binary64)))
(/.f64 (/.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) (.f64 N N))
(/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (pow.f64 N #s(literal 3/2 binary64))) (pow.f64 N #s(literal 3/2 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N)
(/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) N) (*.f64 N N))
(/.f64 (/.f64 (.f64 (.f64 N N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) (neg.f64 N)) (neg.f64 N))
(/.f64 (/.f64 (.f64 (.f64 N N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) (fabs.f64 N)) (fabs.f64 N))
(/.f64 (/.f64 (.f64 (.f64 N N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) N) N)
(/.f64 (/.f64 (.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) (.f64 (neg.f64 N) N)) (.f64 (neg.f64 N) N))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) (.f64 (.f64 N N) N)) N)
(/.f64 (/.f64 (.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) N) (.f64 (.f64 N N) N))
(/.f64 (/.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) (.f64 N N)) N)
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (neg.f64 N)) (neg.f64 N))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (fabs.f64 N)) (fabs.f64 N))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64)))) (*.f64 N N))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 N N) N) N)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (neg.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N))) (.f64 (.f64 (neg.f64 N) N) N))
(/.f64 (neg.f64 (.f64 (.f64 N N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 N N)))) (.f64 (neg.f64 N) N))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 N) N) (-.f64 N #s(literal 1/2 binary64)))) (.f64 (.f64 (*.f64 N N) N) N))
(/.f64 (-.f64 (.f64 (neg.f64 N) N) (.f64 (.f64 (neg.f64 N) N) (/.f64 #s(literal 1/2 binary64) N))) (.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (-.f64 (.f64 (.f64 N N) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1/2 binary64))) (.f64 (.f64 (*.f64 N N) N) N))
(/.f64 (-.f64 (.f64 N N) (.f64 (.f64 N N) (/.f64 #s(literal 1/2 binary64) N))) (.f64 (*.f64 N N) N))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 N) N) N) (.f64 (.f64 #s(literal -1/2 binary64) N) N)) (.f64 (.f64 (*.f64 (neg.f64 N) N) N) N))
(/.f64 (-.f64 (neg.f64 N) (.f64 (neg.f64 N) (/.f64 #s(literal 1/2 binary64) N))) (.f64 (neg.f64 N) N))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 N) N)) (.f64 (neg.f64 N) #s(literal -1/2 binary64))) (.f64 (*.f64 N N) N))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 N N)) (.f64 (neg.f64 N) #s(literal 1/2 binary64))) (.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (-.f64 N (.f64 N (/.f64 #s(literal 1/2 binary64) N))) (.f64 N N))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 N) N)) (.f64 #s(literal -1/2 binary64) N)) (.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (-.f64 (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 (.f64 N N) N) N)) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 (.f64 N N) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 (.f64 (*.f64 N N) N) N)))
(/.f64 (-.f64 (neg.f64 N) #s(literal -1/2 binary64)) (*.f64 (neg.f64 N) N))
(/.f64 (.f64 (.f64 N N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 N N))) (.f64 N N))
(/.f64 (.f64 (neg.f64 N) (-.f64 N #s(literal 1/2 binary64))) (.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (.f64 (.f64 (.f64 N N) (-.f64 N #s(literal -1/2 binary64))) (.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)) (.f64 (.f64 (.f64 N N) (-.f64 N #s(literal -1/2 binary64))) (.f64 (.f64 (*.f64 N N) N) N)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 N N) N) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (.f64 (-.f64 N #s(literal -1/2 binary64)) (.f64 N N)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 N N))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (pow.f64 N #s(literal 9 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N)) #s(literal 1/8 binary64))) (.f64 (fma.f64 (.f64 (.f64 (.f64 N N) N) (.f64 N N)) N (.f64 (.f64 (.f64 N N) #s(literal 1/2 binary64)) (.f64 (.f64 N N) (-.f64 N #s(literal -1/2 binary64))))) (.f64 (.f64 (*.f64 N N) N) N)))
(/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal 1/8 binary64)) (.f64 (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64))) (.f64 N N)))
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(fma.f64 N (.f64 #s(literal -1/2 binary64) N) (.f64 (*.f64 N N) N))
(fma.f64 N (.f64 N N) (.f64 (neg.f64 N) (*.f64 #s(literal 1/2 binary64) N)))
(fma.f64 N (.f64 N N) (.f64 (*.f64 #s(literal -1/2 binary64) N) N))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N)) (.f64 (.f64 N N) (-.f64 N #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 N N) N) N)) (.f64 (*.f64 N N) (-.f64 N #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 N #s(literal 9 binary64)) (fma.f64 (.f64 (.f64 (.f64 N N) N) (.f64 N N)) N (.f64 (.f64 (.f64 N N) #s(literal 1/2 binary64)) (.f64 (.f64 N N) (-.f64 N #s(literal -1/2 binary64)))))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 (.f64 N N) N) (.f64 N N)) N (.f64 (.f64 (.f64 N N) #s(literal 1/2 binary64)) (.f64 (.f64 N N) (-.f64 N #s(literal -1/2 binary64)))))))
(-.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) N) N) (.f64 (.f64 N N) N))
(+.f64 (.f64 (.f64 N N) N) (.f64 (neg.f64 N) (.f64 #s(literal 1/2 binary64) N)))
(+.f64 (.f64 (.f64 N N) N) (.f64 (.f64 #s(literal -1/2 binary64) N) N))
(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 N)) (fabs.f64 N))
(.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 N)) (neg.f64 N))
(.f64 (.f64 #s(literal 1/2 binary64) N) N)
(.f64 (neg.f64 N) (.f64 (neg.f64 N) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 N) (.f64 (fabs.f64 N) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 N N) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 N N) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 N N))
(.f64 N (.f64 #s(literal 1/2 binary64) N))
(neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) N) N))
(.f64 (.f64 (*.f64 N N) (fabs.f64 N)) (fabs.f64 N))
(.f64 (.f64 N (pow.f64 N #s(literal 3/2 binary64))) (pow.f64 N #s(literal 3/2 binary64)))
(.f64 (.f64 (neg.f64 N) (fabs.f64 N)) (*.f64 (neg.f64 N) (fabs.f64 N)))
(.f64 (.f64 (fabs.f64 N) (neg.f64 N)) (*.f64 (fabs.f64 N) (neg.f64 N)))
(.f64 (.f64 (fabs.f64 N) N) (*.f64 (fabs.f64 N) N))
(.f64 (.f64 N (fabs.f64 N)) (*.f64 N (fabs.f64 N)))
(.f64 (pow.f64 N #s(literal 3/2 binary64)) (.f64 (pow.f64 N #s(literal 3/2 binary64)) N))
(.f64 (.f64 (*.f64 (neg.f64 N) N) N) (neg.f64 N))
(.f64 (.f64 (neg.f64 N) N) (*.f64 (neg.f64 N) N))
(.f64 (neg.f64 N) (.f64 (*.f64 (neg.f64 N) N) N))
(.f64 (fabs.f64 N) (.f64 (fabs.f64 N) (*.f64 N N)))
(.f64 (.f64 (*.f64 N N) N) N)
(.f64 (.f64 N N) (*.f64 N N))
(.f64 N (.f64 (*.f64 N N) N))
(pow.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 2 binary64))
(pow.f64 N #s(literal 4 binary64))
(neg.f64 (.f64 (.f64 (*.f64 (neg.f64 N) N) N) N))
(fabs.f64 (.f64 (.f64 (*.f64 N N) N) N))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (*.f64 #s(literal 2 binary64) (log.f64 N))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 N N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 N)))
(+.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 N))) (sinh.f64 (.f64 #s(literal 4 binary64) (log.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (* N N) (*.f64 N N))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) (* N N))) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (/ (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) (* N N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ 1/2 (* N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (- N 1/2) N) 1/3) (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)))
#s(approx (+ (* (- N 1/2) N) 1/3) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)))
#s(approx (- N 1/2) #s(literal -1/2 binary64))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (* (* N N) N) (.f64 (.f64 N N) N))
#s(approx (/ (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) (* N N))) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (/ (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) (* N N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (* (* N N) N) (* (* N N) 1/2)) (.f64 (.f64 #s(literal -1/2 binary64) N) N))
#s(approx (- (* (* N N) N) (* (* N N) 1/2)) (.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (* (* N N) 1/2) (.f64 (.f64 N N) #s(literal 1/2 binary64)))
#s(approx (* (* N N) (* N N)) (.f64 (.f64 (*.f64 N N) N) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
#s(approx (/ (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) (* N N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) (* N N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 N N))
#s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) N))
#s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (.f64 N N)))
#s(approx (- N 1/2) N)
#s(approx (- N 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) (* N N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) (* N N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (* (* N N) N) (* (* N N) 1/2)) (.f64 (.f64 N N) N))
#s(approx (- (* (* N N) N) (* (* N N) 1/2)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) (* N N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) N))
#s(approx (- N 1/2) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))))
#s(approx (/ (- (* (* N N) N) (* (* N N) 1/2)) (* (* N N) (* N N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (* (* N N) N) (* (* N N) 1/2)) (.f64 (.f64 (*.f64 (neg.f64 N) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))))

eval70.0ms (2.3%)

Memory: 1.7MiB live, 100.3MiB allocated; 22ms collecting garbage
Compiler: Compiled 5 606 to 2 113 computations (62.3% saved)

prune13.0ms (0.4%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	615	5	620
Fresh	2	2	4
Picked	2	3	5
Done	0	4	4
Total	619	14	633

Accuracy

100.0%

Counts

633 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.5%	(log1p.f64 (.f64 (/.f64 (.f64 N N) (.f64 (.f64 N N) N)) #s(literal 1 binary64)))
	99.3%	(log1p.f64 (.f64 (.f64 N N) (/.f64 N (.f64 (.f64 (*.f64 N N) N) N))))
▶	99.5%	(log1p.f64 (.f64 N (/.f64 #s(literal 1 binary64) (.f64 N N))))
✓	27.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	94.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓	91.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	83.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	91.1%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N))))
▶	83.0%	#s(approx (- (log (+ N 1)) (log N)) (.f64 N (/.f64 #s(literal 1 binary64) (.f64 N N))))
✓	93.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))

Compiler

Compiled 209 to 205 computations (1.9% saved)

series6.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

21 → 66

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	((log (+ 1 (* N (/ 1 (* N N))))) (* N (/ 1 (* N N))) N (/ 1 (* N N)) 1 (* N N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (* (- N 1/2) (/ 1 (* N N))) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 -1)
2.0ms	N	@	0	((log (+ 1 (* N (/ 1 (* N N))))) (* N (/ 1 (* N N))) N (/ 1 (* N N)) 1 (* N N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (* (- N 1/2) (/ 1 (* N N))) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 -1)
1.0ms	N	@	inf	((log (+ 1 (* N (/ 1 (* N N))))) (* N (/ 1 (* N N))) N (/ 1 (* N N)) 1 (* N N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (* (- N 1/2) (/ 1 (* N N))) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 -1)

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

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

1.0ms

inf

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

rewrite178.0ms (5.9%)

Memory

-0.3MiB live, 132.0MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	1275
0	199	1127
1	754	1068
0	6159	1043

Stop Event

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

Counts

87 → 416

Calls

Call 1

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

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 N (neg.f64 N)) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 N (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)))
(*.f64 (/.f64 N N) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(.f64 N (/.f64 #s(literal 1 binary64) (.f64 N N)))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(/.f64 (*.f64 N (/.f64 #s(literal 1 binary64) N)) N)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) N) N)
(/.f64 (/.f64 N (neg.f64 N)) (neg.f64 N))
(/.f64 (/.f64 N (fabs.f64 N)) (fabs.f64 N))
(/.f64 (/.f64 N N) N)
(/.f64 (.f64 #s(literal 2 binary64) N) (.f64 #s(literal 2 binary64) (*.f64 N N)))
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(exp.f64 (neg.f64 (log.f64 N)))
N
(.f64 (.f64 (/.f64 #s(literal 1 binary64) N) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (.f64 N N))) (*.f64 N N))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 N)) (/.f64 #s(literal -1 binary64) (fabs.f64 N)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) N)) (fabs.f64 (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 (neg.f64 N) #s(literal -1 binary64)) (pow.f64 (neg.f64 N) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 N) #s(literal -1 binary64)) (pow.f64 (fabs.f64 N) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) N)
(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N))
(.f64 (.f64 N N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 N N)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (*.f64 N (/.f64 #s(literal 1 binary64) N)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))
(.f64 N (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)))
(pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal -1 binary64))
(pow.f64 N #s(literal -2 binary64))
(/.f64 (.f64 N (/.f64 #s(literal 1 binary64) N)) (.f64 N N))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) N) N) (.f64 N N))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (fabs.f64 N))
(/.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 N))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 N N)))
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(fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 N N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 N (neg.f64 N)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(fma.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) N) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal -1/2 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal -1/2 binary64) N))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))
(fma.f64 N (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/3 binary64) (.f64 N N)))
(-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (/.f64 (.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N))
(+.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 N N) N)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))))
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 N N) N)) #s(literal 1/8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 N N) N)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 #s(literal 1/3 binary64) N)
(neg.f64 (/.f64 #s(literal -1/3 binary64) N))
#s(literal 1/3 binary64)
#s(literal -1 binary64)
#s(approx (log (+ 1 (* N (/ 1 (* N N))))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (* N (/ 1 (* N N))))) (-.f64 N (log.f64 N)))
#s(approx (log (+ 1 (* N (/ 1 (* N N))))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 (* N (/ 1 (* N N))))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (* N (/ 1 (* N N))) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (/ 1 (* N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (* N N) (*.f64 N N))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- N 1/2) #s(literal -1/2 binary64))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N)))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N))
#s(approx (/ 1/3 N) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (log (+ 1 (* N (/ 1 (* N N))))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (* N (/ 1 (* N N))))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (* N (/ 1 (* N N))))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (log (+ 1 (* N (/ 1 (* N N))))) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) #s(literal 1 binary64)) N))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- N 1/2) N)
#s(approx (- N 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(literal 1 binary64))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 1/3 N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (log (+ 1 (* N (/ 1 (* N N))))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (* N (/ 1 (* N N))))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (* N (/ 1 (* N N))))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- N 1/2) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 #s(literal 1 binary64) (/.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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))

eval54.0ms (1.8%)

Memory: -20.8MiB live, 80.0MiB allocated; 20ms collecting garbage
Compiler: Compiled 3 519 to 1 485 computations (57.8% saved)

prune13.0ms (0.4%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	469	0	469
Fresh	0	2	2
Picked	0	5	5
Done	0	7	7
Total	469	14	483

Accuracy

100.0%

Counts

483 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.5%	(log1p.f64 (.f64 (/.f64 (.f64 N N) (.f64 (.f64 N N) N)) #s(literal 1 binary64)))
	99.3%	(log1p.f64 (.f64 (.f64 N N) (/.f64 N (.f64 (.f64 (*.f64 N N) N) N))))
✓	99.5%	(log1p.f64 (.f64 N (/.f64 #s(literal 1 binary64) (.f64 N N))))
✓	27.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
✓	94.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓	91.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	83.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	91.1%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N))))
✓	83.0%	#s(approx (- (log (+ N 1)) (log N)) (.f64 N (/.f64 #s(literal 1 binary64) (.f64 N N))))
✓	93.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))

Compiler

Compiled 267 to 221 computations (17.2% saved)

regimes14.0ms (0.5%)

Memory

-29.0MiB live, 16.6MiB allocated; 6ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	N
4.0ms	(-.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)

regimes5.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB 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)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (.f64 N (/.f64 #s(literal 1 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 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.4%	1	`N`
91.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.1%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.2b remaining (-1.7%)

Threshold costs -0.2b (-1.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
83.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
83.3%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.415961324610862e-6	5.713819064112613e-6

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations119.0ms (3.9%)

Memory

-41.0MiB live, 60.4MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 35 to 30 computations (14.3% saved)

preprocess68.0ms (2.2%)

Memory: 18.4MiB live, 63.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 75 to 64 computations (14.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (54%)

preprocess76.0ms (2.5%)

series54.0ms (1.8%)

rewrite211.0ms (7%)

eval13.0ms (0.4%)

prune4.0ms (0.1%)

series8.0ms (0.3%)

rewrite197.0ms (6.5%)

eval44.0ms (1.4%)

prune16.0ms (0.5%)

series9.0ms (0.3%)

rewrite209.0ms (6.9%)

eval70.0ms (2.3%)

prune13.0ms (0.4%)

series6.0ms (0.2%)

rewrite178.0ms (5.9%)

eval54.0ms (1.8%)

prune13.0ms (0.4%)

regimes14.0ms (0.5%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch0.0ms (0%)

derivations119.0ms (3.9%)

preprocess68.0ms (2.2%)

end0.0ms (0%)

Profiling