Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample1.5s (14.2%)

Memory

7.8MiB live, 844.2MiB allocated; 385ms collecting garbage

Samples

1.2s	7 433×	1	valid
54.0ms	823×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 904.0ms

ival-log1p: 318.0ms (35.2% of total)

ival-log: 285.0ms (31.5% of total)

adjust: 155.0ms (17.2% of total)

ival-sub!: 146.0ms (16.2% of total)

Bogosity

preprocess80.0ms (0.8%)

Memory

-39.0MiB live, 52.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	33	20
2	89	18
3	362	18
4	3069	18

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.6%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series164.0ms (1.6%)

Memory

37.5MiB live, 129.1MiB allocated; 39ms collecting garbage

Counts

6 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
27.0ms	N	0
16.0ms	N	inf
9.0ms	N	-inf

rewrite515.0ms (4.9%)

Memory

-4.5MiB live, 227.0MiB allocated; 46ms collecting garbage

Counts

6 → 370

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
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(-.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log1p.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N)))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(log.f64 (-.f64 N #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N))))
(log1p.f64 N)
(neg.f64 (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))))
(*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) N))
(+.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 N #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (-.f64 N #s(literal -1 binary64))))
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) (-.f64 N #s(literal -1 binary64)))
(+.f64 (.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))))
(+.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 N)))
(-.f64 N #s(literal -1 binary64))
(-.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N))
(-.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 N)))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 N) #s(literal 0 binary64)))
(/.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 N #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 N N N) N)
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) (neg.f64 N)) (.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 (*.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) N) (+.f64 N N))
(/.f64 (*.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 N #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 N (neg.f64 N) (neg.f64 N)) (neg.f64 N))
(/.f64 (neg.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) N)
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) N)
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal -2 binary64) N)
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) N)
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) N)
(fma.f64 #s(literal -2 binary64) #s(literal -1/2 binary64) N)
(fma.f64 #s(literal 4 binary64) #s(literal 1/4 binary64) N)
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N) N)
(fma.f64 (/.f64 #s(literal 1 binary64) N) N N)
(fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 N) N)
(fma.f64 (/.f64 N #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1/2 binary64) N))
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) N))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) N)
(fma.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 N N) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 N N) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 N (/.f64 #s(literal 1 binary64) N) N)
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) N))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) N))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) N))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 N #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) N))
(fma.f64 (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) N) (.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))))
(fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) N) (.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))))
(fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N #s(literal 0 binary64))
(fma.f64 (fabs.f64 N) (fabs.f64 (/.f64 #s(literal 1 binary64) N)) N)
(fma.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) N)
(fma.f64 (/.f64 N #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64)) N)
(fma.f64 (.f64 N N) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) N)
(fma.f64 N (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (neg.f64 N)))
(fma.f64 N (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) N))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 (/.f64 N #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1/2 binary64) (neg.f64 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 N)))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 N)))
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 N #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 N)))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 N)))
(fma.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))))
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eval115.0ms (1.1%)

Memory: 25.7MiB live, 72.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 5 143 to 1 618 computations (68.5% saved)

prune17.0ms (0.2%)

Memory

-25.7MiB live, 19.3MiB allocated; 10ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	386	7	393
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	387	7	394

Accuracy

99.9%

Counts

394 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.9%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
▶	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	29.2%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
	94.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
▶	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
▶	82.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 196 to 156 computations (20.4% saved)

series101.0ms (1%)

Memory

-8.6MiB live, 51.7MiB allocated; 47ms collecting garbage

Counts

17 → 48

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
2.0ms	N	-inf
2.0ms	N	0
1.0ms	N	inf

rewrite336.0ms (3.2%)

Memory

32.9MiB live, 264.2MiB allocated; 53ms collecting garbage

Counts

17 → 683

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

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

eval158.0ms (1.5%)

Memory: -27.5MiB live, 112.7MiB allocated; 35ms collecting garbage
Compiler: Compiled 16 646 to 3 276 computations (80.3% saved)

prune28.0ms (0.3%)

Memory

32.2MiB live, 32.2MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 083	12	1 095
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	1 086	16	1 102

Accuracy

100.0%

Counts

1 102 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	29.9%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
▶	99.6%	(log1p.f64 (/.f64 N (*.f64 N N)))
	99.5%	(log1p.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (/.f64 #s(literal 1 binary64) N))))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.4%	(log1p.f64 (.f64 N (/.f64 #s(literal 1 binary64) (.f64 N N))))
▶	29.2%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
▶	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) N (.f64 N N)) (.f64 N N)) N))
	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
	94.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
	90.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1/2 binary64))) N))
▶	82.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓	82.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	90.7%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N))))
▶	94.4%	#s(approx (log (+ 1 (/ 1 N))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
	96.0%	#s(approx (log (+ 1 (/ 1 N))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))

Compiler

Compiled 430 to 319 computations (25.8% saved)

series110.0ms (1.1%)

Memory

-19.7MiB live, 27.7MiB allocated; 2ms collecting garbage

Counts

25 → 59

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
3.0ms	N	inf
2.0ms	N	0
2.0ms	N	-inf

rewrite1.5s (14.7%)

Memory

36.4MiB live, 1 026.6MiB allocated; 208ms collecting garbage

Counts

25 → 3 052

Calls

Call 1

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

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

eval504.0ms (4.8%)

Memory: 31.1MiB live, 581.0MiB allocated; 168ms collecting garbage
Compiler: Compiled 100 233 to 15 358 computations (84.7% saved)

prune77.0ms (0.7%)

Memory

-33.9MiB live, 111.0MiB allocated; 14ms collecting garbage

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	3 868	9	3 877
Fresh	4	4	8
Picked	3	2	5
Done	0	3	3
Total	3 875	18	3 893

Accuracy

100.0%

Counts

3 893 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	29.9%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
	99.4%	(log1p.f64 (/.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) (*.f64 N N))))
▶	99.5%	(log1p.f64 (/.f64 (.f64 N N) (.f64 (*.f64 N N) N)))
	99.5%	(log1p.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (/.f64 #s(literal 1 binary64) N))))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.4%	(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
✓	29.2%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
▶	90.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
▶	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1/2 binary64))) N))
✓	82.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓	82.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	90.7%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 (*.f64 N N) N)) N))
	90.7%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
	94.2%	#s(approx (log (/ (+ 1 N) N)) (/.f64 (-.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/3 binary64) N)) (*.f64 N N)))
▶	94.4%	#s(approx (log (+ 1 (/ 1 N))) (/.f64 (/.f64 (-.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/3 binary64) N)) N) N))
▶	94.4%	#s(approx (log (+ 1 (/ 1 N))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) N) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) N)))
	94.0%	#s(approx (log (+ 1 (/ 1 N))) (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1/2 binary64)) N))))

Compiler

Compiled 451 to 322 computations (28.6% saved)

series105.0ms (1%)

Memory

2.8MiB live, 49.3MiB allocated; 5ms collecting garbage

Counts

29 → 66

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
2.0ms	N	-inf
2.0ms	N	0
2.0ms	N	inf

rewrite3.5s (33.1%)

Memory

35.9MiB live, 2 746.4MiB allocated; 816ms collecting garbage

Counts

29 → 6 477

Calls

Call 1

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

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

eval1.4s (13.6%)

Memory: -66.4MiB live, 1 149.0MiB allocated; 1.3s collecting garbage
Compiler: Compiled 182 203 to 22 669 computations (87.6% saved)

prune128.0ms (1.2%)

Memory

8.5MiB live, 252.3MiB allocated; 76ms collecting garbage

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	6 279	4	6 283
Fresh	2	6	8
Picked	1	4	5
Done	0	5	5
Total	6 282	19	6 301

Accuracy

100.0%

Counts

6 301 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	29.9%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
	99.4%	(log1p.f64 (/.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) (*.f64 N N))))
	99.4%	(log1p.f64 (/.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64))))
✓	99.5%	(log1p.f64 (/.f64 (.f64 N N) (.f64 (*.f64 N N) N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	98.7%	(log1p.f64 (-.f64 (/.f64 #s(literal 2 binary64) (neg.f64 N)) (/.f64 #s(literal 3 binary64) (neg.f64 N))))
	99.4%	(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
✓	29.2%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
✓	90.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1/2 binary64))) N))
✓	82.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓	82.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	90.7%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 (*.f64 N N) N)) N))
	90.7%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
	94.2%	#s(approx (log (/ (+ 1 N) N)) (/.f64 (-.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/3 binary64) N)) (*.f64 N N)))
	94.0%	#s(approx (log (+ 1 (/ 1 N))) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N)))
✓	94.4%	#s(approx (log (+ 1 (/ 1 N))) (/.f64 (/.f64 (-.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/3 binary64) N)) N) N))
	94.4%	#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) N))

Compiler

Compiled 249 to 179 computations (28.1% saved)

regimes44.0ms (0.4%)

Memory

-11.9MiB live, 81.5MiB allocated; 6ms collecting garbage

Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts

2 → 1

3 → 1

4 → 1

10 → 2

11 → 2

33 → 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))

Call 2

Inputs

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

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

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

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

Call 3

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

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

Call 4

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

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

Call 5

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

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

Call 6

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

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

Calls

12 calls:

8.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
3.0ms	N
3.0ms	N
3.0ms	N

Results

Accuracy	Segments	Branch
82.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
82.2%	1	`N`
90.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
90.9%	1	`N`
91.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.1%	1	`N`
97.1%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.1%	2	`N`
97.4%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.4%	2	`N`
99.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.8%	1	`N`

Compiler

Compiled 539 to 185 computations (65.7% saved)

bsearch5.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	351872.831803861	397613.0275322871

Samples

3.0ms

32×

valid

Compiler

Compiled 54 to 46 computations (14.8% saved)

Precisions

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

adjust: 1.0ms (48.6% of total)

ival-log: 1.0ms (48.6% of total)

ival-log1p: 1.0ms (48.6% of total)

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

bsearch11.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	106422.08651514171	218792.9468299808

Samples

7.0ms

80×

valid

Compiler

Compiled 115 to 103 computations (10.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-log: 2.0ms (39.1% of total)

ival-log1p: 2.0ms (39.1% of total)

adjust: 1.0ms (19.6% of total)

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

derivations1.0ms (0%)

Memory

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

Stop Event

1×

fuel

Compiler

Compiled 96 to 31 computations (67.7% saved)

preprocess52.0ms (0.5%)

Memory: 13.0MiB live, 103.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 140 to 65 computations (53.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.5s (14.2%)

preprocess80.0ms (0.8%)

series164.0ms (1.6%)

rewrite515.0ms (4.9%)

eval115.0ms (1.1%)

prune17.0ms (0.2%)

series101.0ms (1%)

rewrite336.0ms (3.2%)

eval158.0ms (1.5%)

prune28.0ms (0.3%)

series110.0ms (1.1%)

rewrite1.5s (14.7%)

eval504.0ms (4.8%)

prune77.0ms (0.7%)

series105.0ms (1%)

rewrite3.5s (33.1%)

eval1.4s (13.6%)

prune128.0ms (1.2%)

regimes44.0ms (0.4%)

bsearch5.0ms (0%)

bsearch11.0ms (0.1%)

derivations1.0ms (0%)

preprocess52.0ms (0.5%)

end0.0ms (0%)

Profiling