Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.3s (48.5%)

Memory

45.1MiB live, 1 238.5MiB allocated; 360ms collecting garbage

Samples

891.0ms	7 464×	1	valid
110.0ms	792×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 820.0ms

ival-log1p: 351.0ms (42.8% of total)

ival-log: 216.0ms (26.3% of total)

adjust: 137.0ms (16.7% of total)

ival-sub!: 116.0ms (14.1% of total)

Bogosity

preprocess67.0ms (2.6%)

Memory

-25.6MiB live, 19.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	33	20
2	89	18
3	362	18
4	3067	18

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 12 computations (0% saved)

series44.0ms (1.7%)

Memory

19.6MiB live, 62.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	451

Stop Event

1×	iter-limit

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	Expression
22.0ms	N	@	0	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
11.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
6.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite69.0ms (2.7%)

Memory

-1.1MiB live, 49.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	17
1	54	17
0	459	13

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

6 → 57

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

eval8.0ms (0.3%)

Memory: 14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 734 to 298 computations (59.4% saved)

prune5.0ms (0.2%)

Memory

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

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	7	81

Accuracy

99.9%

Counts

81 → 7

Alt Table

Click to see full alt table

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

Compiler

Compiled 156 to 156 computations (0% saved)

series18.0ms (0.7%)

Memory

-29.6MiB live, 15.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	794

Stop Event

1×	iter-limit

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	Expression
2.0ms	N	@	-inf	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) 1/2 (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))
2.0ms	N	@	0	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) 1/2 (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))
1.0ms	N	@	inf	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) 1/2 (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

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

1.0ms

inf

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

rewrite72.0ms (2.8%)

Memory

18.0MiB live, 62.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	92
0	33	77
1	158	72
0	1488	72

Stop Event

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

Counts

17 → 313

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 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))) (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) #s(literal 0 binary64))
(fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 0 binary64))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal -1 binary64) N)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N)))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (neg.f64 (log.f64 N))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 0 binary64))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 #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 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(exp.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)))
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
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eval34.0ms (1.3%)

Memory: 1.5MiB live, 47.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 467 to 1 157 computations (53.1% saved)

prune14.0ms (0.5%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	333	12	345
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	336	16	352

Accuracy

100.0%

Counts

352 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.7%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	99.3%	(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
	95.5%	(log1p.f64 (exp.f64 (*.f64 (log.f64 N) #s(literal -1 binary64))))
	29.9%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
▶	90.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
▶	89.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
	93.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #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))
	89.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (.f64 N (/.f64 #s(literal 1/2 binary64) N))) (.f64 N N)))
	90.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
✓	81.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	90.0%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
	81.5%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
	89.9%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
	93.0%	#s(approx (log (+ 1 (/ 1 N))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
▶	94.6%	#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 353 to 349 computations (1.1% saved)

series132.0ms (5.1%)

Memory

-2.0MiB live, 140.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	2090

Stop Event

1×	iter-limit

Counts

37 → 95

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
50.0ms	N	@	0	((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (- (log (+ N 1)) (log N)) (/ (/ (- N 1/2) N) N) (/ (- N 1/2) N) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) (* N N) (- (log (+ N 1)) (log N)) (/ (/ (- 1 (/ 1/4 (* N N))) (- 1 (/ -1/2 N))) N) (/ (- 1 (/ 1/4 (* N N))) (- 1 (/ -1/2 N))) (- 1 (/ 1/4 (* N N))) (/ 1/4 (* N N)) 1/4 (- 1 (/ -1/2 N)) (/ -1/2 N) (log (+ 1 (/ 1 N))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N) (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) (/ (- (* 1/4 (/ 1 N)) 1/3) N) (- (* 1/4 (/ 1 N)) 1/3) (* 1/4 (/ 1 N)) 1/3)
45.0ms	N	@	-inf	((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (- (log (+ N 1)) (log N)) (/ (/ (- N 1/2) N) N) (/ (- N 1/2) N) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) (* N N) (- (log (+ N 1)) (log N)) (/ (/ (- 1 (/ 1/4 (* N N))) (- 1 (/ -1/2 N))) N) (/ (- 1 (/ 1/4 (* N N))) (- 1 (/ -1/2 N))) (- 1 (/ 1/4 (* N N))) (/ 1/4 (* N N)) 1/4 (- 1 (/ -1/2 N)) (/ -1/2 N) (log (+ 1 (/ 1 N))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N) (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) (/ (- (* 1/4 (/ 1 N)) 1/3) N) (- (* 1/4 (/ 1 N)) 1/3) (* 1/4 (/ 1 N)) 1/3)
28.0ms	N	@	inf	((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (- (log (+ N 1)) (log N)) (/ (/ (- N 1/2) N) N) (/ (- N 1/2) N) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) (* N N) (- (log (+ N 1)) (log N)) (/ (/ (- 1 (/ 1/4 (* N N))) (- 1 (/ -1/2 N))) N) (/ (- 1 (/ 1/4 (* N N))) (- 1 (/ -1/2 N))) (- 1 (/ 1/4 (* N N))) (/ 1/4 (* N N)) 1/4 (- 1 (/ -1/2 N)) (/ -1/2 N) (log (+ 1 (/ 1 N))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N) (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) (/ (- (* 1/4 (/ 1 N)) 1/3) N) (- (* 1/4 (/ 1 N)) 1/3) (* 1/4 (/ 1 N)) 1/3)

Time

Variable

Point

Expression

50.0ms

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

45.0ms

-inf

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

28.0ms

inf

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

rewrite173.0ms (6.7%)

Memory

14.0MiB live, 152.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	333
0	71	252
1	376	234
2	4296	234
0	8583	233

Stop Event

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

Counts

37 → 1 984

Calls

Call 1

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

Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(.f64 (.f64 (log.f64 (.f64 N (-.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (-.f64 N #s(literal -1 binary64))))))
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (.f64 N (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(pow.f64 (/.f64 (log.f64 (.f64 N (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 (*.f64 N (-.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (.f64 N (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))) (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) #s(literal -1 binary64))
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))
(log1p.f64 (/.f64 #s(literal -1 binary64) N))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 N (-.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))) (neg.f64 (log.f64 (*.f64 N (-.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (.f64 N (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
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(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal -1/3 binary64) N))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)) (neg.f64 (/.f64 #s(literal 1/3 binary64) N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)) (/.f64 #s(literal -1/3 binary64) N))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (neg.f64 (/.f64 #s(literal 1/3 binary64) N)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal -1/3 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)))
(-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 N N)) (/.f64 #s(literal 1/3 binary64) N))
(exp.f64 (*.f64 (log.f64 (/.f64 N (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))
(+.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 N N)) (neg.f64 (/.f64 #s(literal 1/3 binary64) N)))
(+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 N N)) (/.f64 #s(literal -1/3 binary64) N))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) N)) (/.f64 #s(literal -1 binary64) N)) #s(literal 1/4 binary64))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) N)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) (/.f64 #s(literal 1/4 binary64) N))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) N)) (/.f64 #s(literal 1/4 binary64) N))
(.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))
(.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 N N) N)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/12 binary64) N))))
(.f64 (/.f64 #s(literal 1/4 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) N)))
(pow.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal 1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/12 binary64) N)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (*.f64 N N) N)) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) N)) #s(literal 1/4 binary64)) N)
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 N N) N)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/12 binary64) N))))
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 N N) N)) #s(literal 1/27 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) (-.f64 #s(literal 1/9 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 N N) N)) #s(literal 1/27 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/12 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal 1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/12 binary64) N)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (*.f64 N N) N)) #s(literal 1/27 binary64))))
(neg.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal -1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal -1/3 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) #s(literal -1/3 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal -1/3 binary64))
(fma.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 1/2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal 1/2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 1/4 binary64)) #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) N) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal 1/4 binary64)) #s(literal -1/3 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 N N) N)) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/12 binary64) N))))
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))
(.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))
(.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) N))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 N #s(literal 1/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/4 binary64) (neg.f64 N))
(/.f64 #s(literal 1/4 binary64) N)
(/.f64 #s(literal 1 binary64) (/.f64 N #s(literal 1/4 binary64)))
#s(literal 1/3 binary64)

eval244.0ms (9.5%)

Memory: -44.0MiB live, 257.4MiB allocated; 191ms collecting garbage
Compiler: Compiled 13 447 to 6 201 computations (53.9% saved)

prune26.0ms (1%)

Memory

-6.6MiB live, 47.8MiB allocated; 8ms collecting garbage

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 242	8	1 250
Fresh	6	2	8
Picked	4	1	5
Done	0	3	3
Total	1 252	14	1 266

Accuracy

100.0%

Counts

1 266 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.7%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
	99.2%	(log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) (sqrt.f64 N)))
▶	99.6%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	99.4%	(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
	29.9%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
	81.0%	#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N (/.f64 #s(literal 1/2 binary64) (.f64 N N))))
✓	90.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
▶	89.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 N (-.f64 #s(literal 1/2 binary64) N))))
▶	89.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 (neg.f64 N) N)))
✓	81.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	89.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 N (-.f64 #s(literal 1/2 binary64) N)) N)))
▶	89.9%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
	94.1%	#s(approx (log (+ 1 (/ 1 N))) #s(approx (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 272 to 266 computations (2.2% saved)

series12.0ms (0.5%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	655

Stop Event

1×	iter-limit

Counts

24 → 43

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

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 (/ (- 1/2 N) (* (neg N) N)) (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ (- 1/2 N) (* (neg N) N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64))))
#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 (* (neg N) N) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (neg N) (*.f64 #s(literal -1 binary64) N))
#s(approx (- 1 (/ 1/2 N)) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (/ -1 N) (/.f64 #s(literal -1 binary64) N))
#s(approx (/ N (- 1/2 N)) (*.f64 #s(literal 2 binary64) N))
#s(approx (/ N (- 1/2 N)) (.f64 N (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) N))))
#s(approx (/ N (- 1/2 N)) (.f64 N (+.f64 #s(literal 2 binary64) (.f64 N (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) N))))))
#s(approx (/ N (- 1/2 N)) (.f64 N (+.f64 #s(literal 2 binary64) (.f64 N (+.f64 #s(literal 4 binary64) (.f64 N (+.f64 #s(literal 8 binary64) (.f64 #s(literal 16 binary64) N))))))))
#s(approx (/ 1 (* N N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))
#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 (- 1/2 N) (.f64 N (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- 1 (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (/ N (- 1/2 N)) #s(literal -1 binary64))
#s(approx (/ N (- 1/2 N)) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (/ N (- 1/2 N)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N)) #s(literal 1 binary64)))
#s(approx (/ N (- 1/2 N)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) N))) (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 (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 (- 1/2 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))))))
#s(approx (/ N (- 1/2 N)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)))) N)) #s(literal 1 binary64)))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

rewrite81.0ms (3.1%)

Memory

20.6MiB live, 65.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	142
0	47	133
1	234	109
0	2065	109

Stop Event

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

Counts

24 → 658

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

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

eval48.0ms (1.9%)

Memory: -7.9MiB live, 81.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 2 980 to 1 449 computations (51.4% saved)

prune26.0ms (1%)

Memory

-16.5MiB live, 35.3MiB allocated; 14ms collecting garbage

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	417	3	420
Fresh	2	3	5
Picked	2	3	5
Done	0	4	4
Total	421	13	434

Accuracy

100.0%

Counts

434 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.7%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
	99.2%	(log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) (sqrt.f64 N)))
✓	99.6%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	99.4%	(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
	29.9%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
✓	90.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
✓	89.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 N (-.f64 #s(literal 1/2 binary64) N))))
	89.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
	89.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (*.f64 N (/.f64 N (-.f64 N #s(literal 1/2 binary64))))))
✓	81.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	89.7%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
	94.1%	#s(approx (log (+ 1 (/ 1 N))) #s(approx (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 350 to 289 computations (17.4% saved)

regimes16.0ms (0.6%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

Counts

31 → 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 (-.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))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 (neg.f64 N) N)))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 N (-.f64 #s(literal 1/2 binary64) N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (*.f64 N (/.f64 N (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 N (-.f64 #s(literal 1/2 binary64) N))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (.f64 N (/.f64 #s(literal 1/2 binary64) N))) (.f64 N N)))
(log1p.f64 (/.f64 N (*.f64 N N)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N (/.f64 #s(literal 1/2 binary64) (.f64 N N))))
(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
(log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) (sqrt.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#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 (exp.f64 (*.f64 (log.f64 N) #s(literal -1 binary64))))
#s(approx (log (+ 1 (/ 1 N))) #s(approx (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 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 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
#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

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes13.0ms (0.5%)

Memory

-26.5MiB live, 18.2MiB allocated; 8ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	N
3.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.3%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs
#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)))

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes9.0ms (0.3%)

Memory

-37.0MiB live, 8.0MiB allocated; 9ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	N
1.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations140.0ms (5.4%)

Memory

-2.7MiB live, 98.1MiB allocated; 18ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 50 to 39 computations (22% saved)

preprocess57.0ms (2.2%)

Memory: 13.7MiB live, 104.3MiB allocated; 16ms collecting garbage
Compiler: Compiled 90 to 73 computations (18.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (48.5%)

preprocess67.0ms (2.6%)

series44.0ms (1.7%)

rewrite69.0ms (2.7%)

eval8.0ms (0.3%)

prune5.0ms (0.2%)

series18.0ms (0.7%)

rewrite72.0ms (2.8%)

eval34.0ms (1.3%)

prune14.0ms (0.5%)

series132.0ms (5.1%)

rewrite173.0ms (6.7%)

eval244.0ms (9.5%)

prune26.0ms (1%)

series12.0ms (0.5%)

rewrite81.0ms (3.1%)

eval48.0ms (1.9%)

prune26.0ms (1%)

regimes16.0ms (0.6%)

regimes13.0ms (0.5%)

regimes7.0ms (0.3%)

regimes7.0ms (0.3%)

regimes9.0ms (0.3%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations140.0ms (5.4%)

preprocess57.0ms (2.2%)

end0.0ms (0%)

Profiling