Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	3.2%	96.8%	0%	0%	0%	0
100%	3.2%	0%	96.8%	0%	0%	0%	1

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.3s (40.8%)

Memory

50.7MiB live, 1 409.3MiB allocated; 440ms collecting garbage

Samples

915.0ms	7 471×	1	valid
32.0ms	784×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 728.0ms

ival-log1p: 308.0ms (42.3% of total)

ival-log: 223.0ms (30.6% of total)

adjust: 155.0ms (21.3% of total)

ival-sub!: 42.0ms (5.8% of total)

Bogosity

preprocess77.0ms (2.4%)

Memory

-30.7MiB live, 19.5MiB allocated; 28ms 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
▶	24.9%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 12 to 12 computations (0% saved)

series46.0ms (1.4%)

Memory

15.8MiB live, 60.2MiB allocated; 8ms 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))
12.0ms	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))

rewrite65.0ms (2.1%)

Memory

5.5MiB live, 49.4MiB allocated; 11ms 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 (0.2%)

Memory: 13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 734 to 298 computations (59.4% saved)

prune5.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB 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
▶	28.3%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
▶	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	27.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
	94.6%	#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))
▶	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
▶	83.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 156 to 156 computations (0% saved)

series23.0ms (0.7%)

Memory

-36.9MiB live, 19.4MiB allocated; 13ms 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 (2.3%)

Memory

21.8MiB live, 65.9MiB allocated; 8ms 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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eval36.0ms (1.1%)

Memory: 11.1MiB live, 56.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 467 to 1 157 computations (53.1% saved)

prune17.0ms (0.5%)

Memory

-24.0MiB live, 22.1MiB allocated; 5ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	336	9	345
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	339	13	352

Accuracy

100.0%

Counts

352 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.3%	(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))))
	95.4%	(log1p.f64 (exp.f64 (*.f64 (log.f64 N) #s(literal -1 binary64))))
✓	27.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	91.6%	#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)))
▶	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	92.1%	#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)))))
✓	83.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	92.0%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
▶	83.2%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
	92.0%	#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))))
▶	94.6%	#s(approx (log (+ 1 (/ 1 N))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))

Compiler

Compiled 234 to 228 computations (2.6% saved)

series110.0ms (3.5%)

Memory

24.5MiB live, 121.2MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1120

Stop Event

1×	iter-limit

Counts

27 → 61

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

Calls

3 calls:

Time	Variable		Point	Expression
44.0ms	N	@	-inf	((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) (/ 1/2 (* N N)) (* N N) (log (+ 1 (/ 1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) (/ (- (* 1/3 (/ 1 N)) 1/2) N) (- (* 1/3 (/ 1 N)) 1/2) (* 1/3 (/ 1 N)) 1/3 (- (log (+ N 1)) (log N)))
31.0ms	N	@	inf	((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) (/ 1/2 (* N N)) (* N N) (log (+ 1 (/ 1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) (/ (- (* 1/3 (/ 1 N)) 1/2) N) (- (* 1/3 (/ 1 N)) 1/2) (* 1/3 (/ 1 N)) 1/3 (- (log (+ N 1)) (log N)))
28.0ms	N	@	0	((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) (/ 1/2 (* N N)) (* N N) (log (+ 1 (/ 1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) (/ (- (* 1/3 (/ 1 N)) 1/2) N) (- (* 1/3 (/ 1 N)) 1/2) (* 1/3 (/ 1 N)) 1/3 (- (log (+ N 1)) (log N)))

Time

Variable

Point

Expression

44.0ms

-inf

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

31.0ms

inf

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

28.0ms

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

rewrite104.0ms (3.3%)

Memory

13.5MiB live, 58.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	207
0	52	163
1	263	150
0	2886	150

Stop Event

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

Counts

27 → 613

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

eval87.0ms (2.7%)

Memory: -34.9MiB live, 101.9MiB allocated; 26ms collecting garbage
Compiler: Compiled 5 372 to 2 305 computations (57.1% saved)

prune13.0ms (0.4%)

Memory

33.0MiB live, 33.0MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	569	8	577
Fresh	3	1	4
Picked	3	2	5
Done	0	4	4
Total	575	15	590

Accuracy

100.0%

Counts

590 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.3%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.0%	(log1p.f64 (.f64 (pow.f64 N #s(literal -1/4 binary64)) (.f64 (pow.f64 N #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))))
▶	99.2%	(log1p.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))))
✓	27.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	92.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal 1/2 binary64)))) N))
▶	91.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (.f64 (.f64 N N) N)))
▶	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N)))
✓	83.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	92.0%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
	92.0%	#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))))
▶	83.2%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))))
	94.6%	#s(approx (log (+ 1 (/ 1 N))) (/.f64 (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) N))

Compiler

Compiled 265 to 253 computations (4.5% saved)

series49.0ms (1.5%)

Memory

-21.6MiB live, 67.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	950

Stop Event

1×	iter-limit

Counts

21 → 53

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
18.0ms	N	@	inf	((log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (sqrt (/ 1 N)) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ 1 (* (/ N (- N 1/2)) N)) (* (/ N (- N 1/2)) N) (/ N (- N 1/2)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- (* N N) (* 1/2 N)) (* (* N N) N)) (- (* N N) (* 1/2 N)) (* 1/2 N) (* (* N N) N))
17.0ms	N	@	-inf	((log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (sqrt (/ 1 N)) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ 1 (* (/ N (- N 1/2)) N)) (* (/ N (- N 1/2)) N) (/ N (- N 1/2)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- (* N N) (* 1/2 N)) (* (* N N) N)) (- (* N N) (* 1/2 N)) (* 1/2 N) (* (* N N) N))
3.0ms	N	@	0	((log (+ 1 (* (sqrt (/ 1 N)) (sqrt (/ 1 N))))) (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (sqrt (/ 1 N)) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ 1 (* (/ N (- N 1/2)) N)) (* (/ N (- N 1/2)) N) (/ N (- N 1/2)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- (* N N) (* 1/2 N)) (* (* N N) N)) (- (* N N) (* 1/2 N)) (* 1/2 N) (* (* N N) N))

Time

Variable

Point

Expression

18.0ms

inf

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

17.0ms

-inf

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

3.0ms

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

rewrite241.0ms (7.6%)

Memory

2.9MiB live, 198.3MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	161
0	40	119
1	204	111
2	1843	110
0	8925	110

Stop Event

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

Counts

21 → 2 155

Calls

Call 1

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

eval372.0ms (11.7%)

Memory: 27.3MiB live, 265.9MiB allocated; 48ms collecting garbage
Compiler: Compiled 15 961 to 4 135 computations (74.1% saved)

prune55.0ms (1.7%)

Memory

-8.8MiB live, 83.4MiB allocated; 8ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	1 478	8	1 486
Fresh	1	3	4
Picked	3	2	5
Done	0	6	6
Total	1 482	19	1 501

Accuracy

100.0%

Counts

1 501 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.3%	(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)) (neg.f64 (sqrt.f64 N))))
	99.6%	(log1p.f64 (/.f64 (.f64 N N) (.f64 (*.f64 N N) N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.0%	(log1p.f64 (*.f64 #s(approx (sqrt (/ 1 N)) (/.f64 (sqrt.f64 N) N)) #s(approx (sqrt (/ 1 N)) (/.f64 (sqrt.f64 N) N))))
	99.6%	(log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
✓	27.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	92.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal 1/2 binary64)))) N))
✓	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 N N) N) N))))
✓	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	83.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 N N) (.f64 (*.f64 N N) N)))
✓	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N)))
✓	83.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	92.0%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
	91.7%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
	92.0%	#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))))
	83.4%	#s(approx (- (log (+ N 1)) (log N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
	94.6%	#s(approx (log (+ 1 (/ 1 N))) (/.f64 (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) N))

Compiler

Compiled 405 to 319 computations (21.2% saved)

regimes18.0ms (0.6%)

Memory

-13.4MiB live, 32.8MiB allocated; 3ms collecting garbage

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 N N) (.f64 (*.f64 N N) 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))))
#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 N #s(literal 1/2 binary64))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#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) (/.f64 N (-.f64 N #s(literal 1/2 binary64)))) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 N N) N) N))))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (.f64 (.f64 N N) N)))
(log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 N)) (neg.f64 (sqrt.f64 N))))
(log1p.f64 (/.f64 (.f64 N N) (.f64 (*.f64 N N) N)))
(log1p.f64 (*.f64 #s(approx (sqrt (/ 1 N)) (/.f64 (sqrt.f64 N) N)) #s(approx (sqrt (/ 1 N)) (/.f64 (sqrt.f64 N) N))))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))))
#s(approx (log (+ 1 (/ 1 N))) (.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 (+ 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))))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)))
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
(log1p.f64 (.f64 (pow.f64 N #s(literal -1/4 binary64)) (.f64 (pow.f64 N #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #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)))) (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	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
8.0ms	N

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0.3%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 N N) (.f64 (*.f64 N N) 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))))
#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 N #s(literal 1/2 binary64))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#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) (/.f64 N (-.f64 N #s(literal 1/2 binary64)))) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))))

Outputs

(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)))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.0%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
98.0%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 N N) (.f64 (*.f64 N N) 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))))
#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 N #s(literal 1/2 binary64))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.9%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.9%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes13.0ms (0.4%)

Memory

-39.8MiB live, 11.6MiB allocated; 9ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.9%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.9%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.9%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.9%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.1%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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
91.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.8%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.1b remaining (-1%)

Threshold costs -0.1b (-1%)

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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
83.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
83.6%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch13.0ms (0.4%)

Memory

-32.3MiB live, 14.8MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	141002.20724171423	317228.7015551499

Samples

7.0ms

80×

valid

Compiler

Compiled 105 to 113 computations (-7.6% saved)

Precisions

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

ival-log1p: 2.0ms (39.7% of total)

adjust: 1.0ms (19.9% of total)

ival-log: 1.0ms (19.9% of total)

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	141002.20724171423	317228.7015551499

Compiler

Compiled 105 to 113 computations (-7.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	141002.20724171423	317228.7015551499

Compiler

Compiled 100 to 108 computations (-8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	141002.20724171423	317228.7015551499

Compiler

Compiled 95 to 103 computations (-8.4% saved)

derivations38.0ms (1.2%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 54 to 41 computations (24.1% saved)

preprocess384.0ms (12.1%)

Memory: -82.5MiB live, 129.2MiB allocated; 619ms collecting garbage
Compiler: Compiled 94 to 75 computations (20.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (40.8%)

preprocess77.0ms (2.4%)

series46.0ms (1.4%)

rewrite65.0ms (2.1%)

eval8.0ms (0.2%)

prune5.0ms (0.2%)

series23.0ms (0.7%)

rewrite72.0ms (2.3%)

eval36.0ms (1.1%)

prune17.0ms (0.5%)

series110.0ms (3.5%)

rewrite104.0ms (3.3%)

eval87.0ms (2.7%)

prune13.0ms (0.4%)

series49.0ms (1.5%)

rewrite241.0ms (7.6%)

eval372.0ms (11.7%)

prune55.0ms (1.7%)

regimes18.0ms (0.6%)

regimes8.0ms (0.3%)

regimes7.0ms (0.2%)

regimes13.0ms (0.4%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch13.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

derivations38.0ms (1.2%)

preprocess384.0ms (12.1%)

end0.0ms (0%)

Profiling