Metrics for 2log (problem 3.3.6)

start0.0ms (0.0%)

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

analyze8.0ms (0.3%)

Memory

-43.1MiB live, 0.3MiB allocated; 9ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	3.2%	96.8%	0.0%	0.0%	0.0%	0
100.0%	3.2%	0.0%	96.8%	0.0%	0.0%	0.0%	1

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.2s (36.8%)

Memory

77.6MiB live, 1 045.9MiB allocated; 285ms collecting garbage

Samples

824.0ms	7 486×	1	valid
35.0ms	770×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 663.0ms

ival-log1p: 255.0ms (38.5% of total)

ival-log: 230.0ms (34.7% of total)

adjust: 133.0ms (20.1% of total)

ival-sub!: 44.0ms (6.6% of total)

Bogosity

preprocess68.0ms (2.1%)

Memory

-64.0MiB live, 13.4MiB 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	3069	18

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.7%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series47.0ms (1.5%)

Memory

25.4MiB live, 70.6MiB allocated; 5ms 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
23.0ms	N	0
10.0ms	N	-inf
6.0ms	N	inf

rewrite113.0ms (3.5%)

Memory

21.5MiB live, 153.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	17
1	54	17
2	137	17
3	437	17
4	2367	17
0	4010	13

Stop Event

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

Counts

6 → 248

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 (-.f64 N #s(literal -1 binary64)))) (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 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 #s(literal -1 binary64) (log.f64 (/.f64 N (-.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 (.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (.f64 (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))) (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))))) (+.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))) (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))) (-.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)) (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (neg.f64 (log.f64 N)) (neg.f64 (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 (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 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(log1p.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N)))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) (log.f64 N))
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) N))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -2 binary64) #s(literal -2 binary64))) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 N) (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 N (neg.f64 N) (neg.f64 N))) (log.f64 (*.f64 N (neg.f64 N))))
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -2 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 (+.f64 #s(literal -4 binary64) (.f64 #s(literal -2 binary64) (+.f64 N N)))) (log.f64 (.f64 (+.f64 N N) #s(literal -2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 N) (.f64 (neg.f64 N) (+.f64 N N)))) (log.f64 (.f64 (+.f64 N N) (neg.f64 N))))
(-.f64 (log.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 N N)))) (log.f64 (.f64 (+.f64 N N) #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) N (.f64 N (+.f64 N N)))) (log.f64 (.f64 (+.f64 N N) N)))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (neg.f64 N)))) (log.f64 (.f64 (neg.f64 N) #s(literal -2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 N)))) (log.f64 (.f64 (neg.f64 N) #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (neg.f64 N)))) (log.f64 (.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 (neg.f64 N) (.f64 N (neg.f64 N)))) (log.f64 (.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) N))) (log.f64 (.f64 N #s(literal -2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 N) (.f64 (neg.f64 N) N))) (log.f64 (.f64 N (neg.f64 N))))
(-.f64 (log.f64 (fma.f64 (neg.f64 N) (+.f64 N N) (.f64 #s(literal 2 binary64) (neg.f64 N)))) (log.f64 (.f64 (neg.f64 N) (+.f64 N N))))
(-.f64 (log.f64 (fma.f64 (neg.f64 N) N (.f64 #s(literal 1 binary64) (neg.f64 N)))) (log.f64 (.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (fma.f64 N (+.f64 N N) (+.f64 N N))) (log.f64 (*.f64 N (+.f64 N N))))
(-.f64 (log.f64 (+.f64 #s(literal -4 binary64) (.f64 (+.f64 N N) #s(literal -2 binary64)))) (log.f64 (.f64 (+.f64 N N) #s(literal -2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 N) (.f64 (+.f64 N N) (neg.f64 N)))) (log.f64 (.f64 (+.f64 N N) (neg.f64 N))))
(-.f64 (log.f64 (+.f64 #s(literal 4 binary64) (.f64 (+.f64 N N) #s(literal 2 binary64)))) (log.f64 (.f64 (+.f64 N N) #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) N (.f64 (+.f64 N N) N))) (log.f64 (.f64 (+.f64 N N) N)))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 (neg.f64 N) #s(literal -2 binary64)))) (log.f64 (.f64 (neg.f64 N) #s(literal -2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -2 binary64) (.f64 (neg.f64 N) #s(literal 2 binary64)))) (log.f64 (.f64 (neg.f64 N) #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (.f64 (neg.f64 N) #s(literal 1 binary64)))) (log.f64 (.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 (neg.f64 N) (.f64 (neg.f64 N) N))) (log.f64 (.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (+.f64 #s(literal -2 binary64) (.f64 N #s(literal -2 binary64)))) (log.f64 (.f64 N #s(literal -2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 N) (.f64 N (neg.f64 N)))) (log.f64 (.f64 N (neg.f64 N))))
(-.f64 (log.f64 (fma.f64 #s(literal -2 binary64) (+.f64 N N) #s(literal -4 binary64))) (log.f64 (*.f64 #s(literal -2 binary64) (+.f64 N N))))
(-.f64 (log.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal -2 binary64) (neg.f64 N))))
(-.f64 (log.f64 (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))) (log.f64 (*.f64 #s(literal -2 binary64) N)))
(-.f64 (log.f64 (fma.f64 (neg.f64 N) (+.f64 N N) (.f64 (neg.f64 N) #s(literal 2 binary64)))) (log.f64 (.f64 (neg.f64 N) (+.f64 N N))))
(-.f64 (log.f64 (fma.f64 (neg.f64 N) N (.f64 (neg.f64 N) #s(literal 1 binary64)))) (log.f64 (.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (+.f64 N N) #s(literal 4 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 N N))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 N) #s(literal -2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (neg.f64 N))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 N) #s(literal -1 binary64))) (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 N) #s(literal -1 binary64))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 N (.f64 N (neg.f64 N)))) (log.f64 (.f64 N N)))
(-.f64 (log.f64 (-.f64 (+.f64 N N) (.f64 (+.f64 N N) (neg.f64 N)))) (log.f64 (.f64 (+.f64 N N) N)))
(-.f64 (log.f64 (-.f64 (neg.f64 N) (.f64 N N))) (log.f64 (.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (-.f64 #s(literal 4 binary64) (.f64 (+.f64 N N) #s(literal -2 binary64)))) (log.f64 (.f64 (+.f64 N N) #s(literal 2 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal -4 binary64) (.f64 (+.f64 N N) #s(literal 2 binary64)))) (log.f64 (.f64 (+.f64 N N) #s(literal -2 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal -2 binary64) (.f64 (neg.f64 N) #s(literal -2 binary64)))) (log.f64 (.f64 (neg.f64 N) #s(literal 2 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 2 binary64) (.f64 (neg.f64 N) #s(literal 2 binary64)))) (log.f64 (.f64 (neg.f64 N) #s(literal -2 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 2 binary64) (*.f64 N #s(literal -2 binary64)))) (log.f64 (+.f64 N N)))
(-.f64 (log.f64 (-.f64 #s(literal -2 binary64) (+.f64 N N))) (log.f64 (*.f64 N #s(literal -2 binary64))))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal -2 binary64) N) #s(literal 2 binary64))) (log.f64 (.f64 #s(literal -2 binary64) N)))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal -2 binary64) (neg.f64 N)) #s(literal -2 binary64))) (log.f64 (.f64 #s(literal -2 binary64) (neg.f64 N))))
(-.f64 (log.f64 (-.f64 (.f64 (neg.f64 N) N) (.f64 (neg.f64 N) #s(literal -1 binary64)))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 N)) #s(literal 2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (neg.f64 N))))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 1 binary64))) (log.f64 (.f64 #s(literal 1 binary64) (neg.f64 N))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 1 binary64))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 (.f64 N (neg.f64 N)) N)) (log.f64 (.f64 N (neg.f64 N))))
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eval48.0ms (1.5%)

Memory: 55.2MiB live, 97.7MiB allocated; 28ms collecting garbage
Compiler: Compiled 3 679 to 943 computations (74.4% saved)

prune7.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	265	6	271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	266	6	272

Accuracy

99.9%

Counts

272 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.5%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
▶	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	23.1%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	97.1%	#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))
▶	94.9%	#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))
▶	87.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 136 to 110 computations (19.1% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
-1
1/2

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series16.0ms (0.5%)

Memory

-22.5MiB live, 23.5MiB allocated; 5ms 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
2.0ms	N	-inf
2.0ms	N	0
1.0ms	N	inf

rewrite169.0ms (5.3%)

Memory

-20.2MiB live, 177.6MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	92
0	33	77
1	167	72
2	551	72
3	2242	72
0	4139	72

Stop Event

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

Counts

17 → 1 418

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 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 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 #s(literal -1 binary64) (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))) (-.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)) (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (neg.f64 (log.f64 N)) (neg.f64 (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 (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 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(log1p.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(log1p.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64)))
(log1p.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N)))
(log1p.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N)))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (fma.f64 N N N))) (log.f64 (.f64 N N)))
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N))) (log.f64 N))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 (neg.f64 N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) (log.f64 N))
(-.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 N) (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 N)))) (log.f64 (.f64 (neg.f64 N) #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 (neg.f64 N) (.f64 (neg.f64 N) N))) (log.f64 (.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) N))) (log.f64 (.f64 N #s(literal 2 binary64))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) (log.f64 N))
(-.f64 (neg.f64 (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 N))
(-.f64 (log.f64 (+.f64 #s(literal -2 binary64) (.f64 (neg.f64 N) #s(literal 2 binary64)))) (log.f64 (.f64 (neg.f64 N) #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 N #s(literal 2 binary64)))) (log.f64 (.f64 N #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 N (.f64 N N))) (log.f64 (.f64 N N)))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 N) #s(literal -2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (neg.f64 N))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) N)))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 2 binary64) N) #s(literal -2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) N)))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 N)) #s(literal 2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (neg.f64 N))))
(-.f64 (log.f64 (-.f64 (.f64 (neg.f64 N) N) (.f64 (neg.f64 N) #s(literal -1 binary64)))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (-.f64 (.f64 (neg.f64 N) N) N)) (log.f64 (.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (fma.f64 N N N))) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 N N))))
(-.f64 (log.f64 (.f64 (neg.f64 N) (fma.f64 N N N))) (log.f64 (.f64 (*.f64 N N) (neg.f64 N))))
(-.f64 (log.f64 (.f64 N (fma.f64 N N N))) (log.f64 (.f64 (*.f64 N N) N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N N))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)))))
(-.f64 (log.f64 (fma.f64 (neg.f64 N) N (neg.f64 N))) (log.f64 (*.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (.f64 (neg.f64 N) (-.f64 #s(literal -1 binary64) N))) (log.f64 (.f64 N N)))
(-.f64 (log.f64 (.f64 (neg.f64 N) #s(literal -1 binary64))) (log.f64 (.f64 (neg.f64 N) (/.f64 N (-.f64 #s(literal -1 binary64) N)))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) N))) (log.f64 (.f64 #s(literal 2 binary64) (neg.f64 N))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 N (-.f64 #s(literal -1 binary64) N)))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (-.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 #s(literal 2 binary64) N)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64))))))
(-.f64 (log.f64 (.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (neg.f64 N) N)))
(-.f64 (log.f64 (.f64 N (-.f64 #s(literal -1 binary64) N))) (log.f64 (.f64 (neg.f64 N) N)))
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eval219.0ms (6.9%)

Memory: -17.2MiB live, 358.4MiB allocated; 124ms collecting garbage
Compiler: Compiled 27 525 to 4 656 computations (83.1% saved)

prune48.0ms (1.5%)

Memory

-16.0MiB live, 84.4MiB allocated; 26ms collecting garbage

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 597	10	1 607
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	1 599	14	1 613

Accuracy

100.0%

Counts

1 613 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.5%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
▶	99.5%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	23.1%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal 1/2 binary64)))) N))
▶	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
	94.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
▶	86.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (-.f64 N #s(literal 1/2 binary64)))))
▶	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
✓	87.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	94.9%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
	94.8%	#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))))
	97.1%	#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 344 to 262 computations (23.8% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
-1/2
-1
1
1/2

Outputs
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series12.0ms (0.4%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	648

Stop Event

1×	iter-limit

Counts

22 → 37

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite222.0ms (7.0%)

Memory

15.0MiB live, 335.5MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	137
0	40	127
1	223	111
2	959	111
0	4060	111

Stop Event

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

Counts

22 → 3 102

Calls

Call 1

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

eval251.0ms (7.9%)

Memory: -16.8MiB live, 421.3MiB allocated; 260ms collecting garbage
Compiler: Compiled 34 320 to 4 305 computations (87.5% saved)

prune40.0ms (1.3%)

Memory

-2.1MiB live, 88.2MiB allocated; 33ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1 656	3	1 659
Fresh	4	1	5
Picked	2	3	5
Done	0	4	4
Total	1 662	11	1 673

Accuracy

100.0%

Counts

1 673 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.5%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
▶	99.6%	(log1p.f64 (/.f64 (.f64 N N) (.f64 (*.f64 N N) N)))
✓	99.5%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	23.1%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
✓	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
▶	94.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓	86.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
▶	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N)))
✓	87.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	94.8%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))))

Compiler

Compiled 121 to 92 computations (24.0% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
-1/2
-1
1/2

Outputs
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series13.0ms (0.4%)

Memory

32.6MiB live, 32.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	851

Stop Event

1×	iter-limit

Counts

21 → 48

Calls

Call 1

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

Calls

3 calls:

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

rewrite242.0ms (7.6%)

Memory

-29.5MiB live, 261.7MiB allocated; 87ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	132
0	39	123
1	197	101
2	817	101
0	4159	101

Stop Event

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

Counts

21 → 1 377

Calls

Call 1

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

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

eval177.0ms (5.6%)

Memory: 4.1MiB live, 224.1MiB allocated; 185ms collecting garbage
Compiler: Compiled 18 436 to 2 870 computations (84.4% saved)

prune23.0ms (0.7%)

Memory

-43.5MiB live, 49.5MiB allocated; 23ms collecting garbage

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	769	3	772
Fresh	0	0	0
Picked	0	4	4
Done	0	7	7
Total	769	14	783

Accuracy

100.0%

Counts

783 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.5%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
	99.5%	(log1p.f64 (/.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64))))
	99.2%	(log1p.f64 (/.f64 (.f64 N N) (.f64 (pow.f64 N (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 N (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))))
✓	99.6%	(log1p.f64 (/.f64 (.f64 N N) (.f64 (*.f64 N N) N)))
✓	99.5%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	23.1%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
✓	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
✓	94.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓	86.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (-.f64 N #s(literal 1/2 binary64))) N)))
✓	87.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	94.8%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))))
	90.4%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (exp.f64 (.f64 (log.f64 N) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))))

Compiler

Compiled 164 to 122 computations (25.6% saved)

regimes62.0ms (2.0%)

Memory

39.1MiB live, 137.3MiB allocated; 23ms collecting garbage

Counts

2 → 1

3 → 1

4 → 1

11 → 2

12 → 2

14 → 2

23 → 1

Calls

Call 1

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

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

Call 2

Inputs

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

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

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

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

Call 3

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

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

Call 4

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

Call 5

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

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

Call 6

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

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)))))

Call 7

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

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

Calls

14 calls:

12.0ms	N
7.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
5.0ms	N
4.0ms	N

Results

Accuracy	Segments	Branch
87.1%	1	`N`
87.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
94.6%	1	`N`
94.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
94.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
94.9%	1	`N`
98.0%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
98.0%	2	`N`
98.0%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
98.0%	2	`N`
98.1%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
98.1%	2	`N`
99.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.8%	1	`N`

Compiler

Compiled 376 to 144 computations (61.7% saved)

bsearch14.0ms (0.4%)

Memory

-19.8MiB live, 25.4MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	112247.49885038682	213871.7483838485

Samples

10.0ms	58×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 106 to 92 computations (13.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

adjust: 5.0ms (58.3% of total)

ival-log: 2.0ms (23.3% of total)

ival-log1p: 2.0ms (23.3% of total)

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

bsearch1.0ms (0.0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	112247.49885038682	213871.7483838485

Compiler

Compiled 98 to 88 computations (10.2% saved)

bsearch1.0ms (0.0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	112247.49885038682	213871.7483838485

Compiler

Compiled 94 to 84 computations (10.6% saved)

derivations120.0ms (3.8%)

Memory

-16.6MiB live, 126.2MiB allocated; 35ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 124 to 37 computations (70.2% saved)

preprocess84.0ms (2.6%)

Memory: 27.2MiB live, 117.0MiB allocated; 25ms collecting garbage
Compiler: Compiled 168 to 71 computations (57.7% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze8.0ms (0.3%)

sample1.2s (36.8%)

preprocess68.0ms (2.1%)

sample0.0ms (0.0%)

series47.0ms (1.5%)

rewrite113.0ms (3.5%)

eval48.0ms (1.5%)

prune7.0ms (0.2%)

sample0.0ms (0.0%)

series16.0ms (0.5%)

rewrite169.0ms (5.3%)

eval219.0ms (6.9%)

prune48.0ms (1.5%)

sample0.0ms (0.0%)

series12.0ms (0.4%)

rewrite222.0ms (7.0%)

eval251.0ms (7.9%)

prune40.0ms (1.3%)

sample0.0ms (0.0%)

series13.0ms (0.4%)

rewrite242.0ms (7.6%)

eval177.0ms (5.6%)

prune23.0ms (0.7%)

regimes62.0ms (2.0%)

bsearch14.0ms (0.4%)

bsearch1.0ms (0.0%)

bsearch1.0ms (0.0%)

derivations120.0ms (3.8%)

preprocess84.0ms (2.6%)

end0.0ms (0.0%)

Profiling