Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.5s (24.1%)

Memory

-22.7MiB live, 1 335.5MiB allocated

Samples

1.1s	6 506×	1	valid
99.0ms	1 750×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 842.0ms

ival-log1p: 305.0ms (36.2% of total)

ival-log: 252.0ms (29.9% of total)

adjust: 141.0ms (16.7% of total)

ival-sub: 75.0ms (8.9% of total)

ival->: 26.0ms (3.1% of total)

ival-<: 19.0ms (2.3% of total)

ival-and: 11.0ms (1.3% of total)

exact: 10.0ms (1.2% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain116.0ms (1.9%)

Memory

9.0MiB live, 129.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
247	1	(12318.442444636758)	1	(16.885972403705605)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	0	-	`N`
0	0	-	0	-	`(log.f64 N)`
0	0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	247	1

Confusion

	Predicted +	Predicted -
+	246	1
-	1	8

Precision

0.9959514170040485

Recall

0.9959514170040485

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	246	1	0
-	1	0	8

Precision?

0.9959677419354839

Recall?

1.0

Freqs

test

number	freq
0	9
1	247

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

56.0ms	400×	1	valid
7.0ms	112×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-log: 17.0ms (36.6% of total)

ival-log1p: 14.0ms (30.1% of total)

adjust: 8.0ms (17.2% of total)

ival-sub: 4.0ms (8.6% of total)

ival-add: 2.0ms (4.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory

16.2MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	11	19
0	6	7
0	10	7
1	13	7
0	13	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune6.0ms (0.1%)

Memory

-36.9MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 N)
cost-diff	0	(+.f64 N #s(literal 1 binary64))
cost-diff	0	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
cost-diff	2	(log.f64 (+.f64 N #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
0	13	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(log1p.f64 N)
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
N
#s(literal 1 binary64)
(log.f64 N)

localize35.0ms (0.6%)

Memory

25.4MiB live, 25.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0.0	(log.f64 N)
accuracy	49.14179611140699	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

26.0ms	200×	1	valid
3.0ms	56×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log1p: 7.0ms (33% of total)

ival-log: 6.0ms (28.3% of total)

adjust: 4.0ms (18.8% of total)

ival-sub: 2.0ms (9.4% of total)

ival-add: 1.0ms (4.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series75.0ms (1.2%)

Memory

11.8MiB live, 49.6MiB allocated

Counts

4 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
52.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
16.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
6.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify144.0ms (2.4%)

Memory

-24.0MiB live, 90.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	259
1	254	233
2	628	233
3	1724	230
4	5376	227
0	8294	221

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

rewrite151.0ms (2.5%)

Memory

14.7MiB live, 172.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	15
1	41	15
2	254	15
3	2342	15
0	8419	11

Stop Event

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

Counts

4 → 238

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))))
(*.f64 (sqrt.f64 (neg.f64 (log1p.f64 N))) (sqrt.f64 (neg.f64 (log1p.f64 N))))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(pow.f64 (neg.f64 (log1p.f64 N)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log1p.f64 N) #s(literal 1 binary64))
(log1p.f64 N)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (fabs.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N))))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 N #s(literal 9 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (fma.f64 N N (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 N N)) (neg.f64 (-.f64 N #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 N N)) (-.f64 N #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 N N) (neg.f64 (-.f64 N #s(literal 1 binary64)))) (.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 (-.f64 N #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 3 binary64)))) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) #s(literal -1 binary64)) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (/.f64 (pow.f64 N #s(literal 9 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (.f64 (.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 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)))
(neg.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 (neg.f64 N))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N (/.f64 (*.f64 N N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(+.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))))
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)))
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log.f64 N) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (log.f64 N))))
(fabs.f64 (neg.f64 (log.f64 N)))
(fabs.f64 (log.f64 N))
(+.f64 (cosh.f64 (log.f64 (log.f64 N))) (sinh.f64 (log.f64 (log.f64 N))))
(+.f64 #s(literal 0 binary64) (log.f64 N))
(+.f64 (log.f64 N) #s(literal 0 binary64))
(exp.f64 (/.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 N)))
(log.f64 N)

eval49.0ms (0.8%)

Memory: -5.6MiB live, 32.3MiB allocated
Compiler: Compiled 6 119 to 1 019 computations (83.3% saved)

prune9.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	252	9	261
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	253	9	262

Accuracy

100.0%

Counts

262 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.1%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	99.8%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
▶	26.3%	(-.f64 (log.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
▶	99.8%	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
▶	25.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
▶	85.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 266 to 202 computations (24.1% saved)

simplify15.0ms (0.2%)

Memory

-23.8MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))
cost-diff	0	(-.f64 (log.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
cost-diff	2	(log.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
cost-diff	2	(log.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) N)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
cost-diff	2	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
cost-diff	0	(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
cost-diff	0	(/.f64 #s(literal 1 binary64) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
cost-diff	0	(pow.f64 N #s(literal -1 binary64))
cost-diff	0	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	165
0	52	163
1	69	163
2	81	163
3	97	163
4	134	163
5	210	163
6	307	163
7	400	163
8	442	163
9	456	163
10	456	163
0	456	151

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize192.0ms (3.1%)

Memory

-3.1MiB live, 159.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
accuracy	0.0625	(-.f64 (log.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
accuracy	46.96648092059324	(log.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
accuracy	57.06919585040499	(log.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))
accuracy	0.0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.01171875	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
accuracy	47.53230076570563	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
accuracy	0.0859375	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
accuracy	0.09375	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
accuracy	0.3359375	(/.f64 #s(literal 1/3 binary64) N)
accuracy	2.948817382759107	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
accuracy	0.0	(/.f64 #s(literal 1 binary64) N)
accuracy	9.577276340912602	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.0	(pow.f64 N #s(literal -1 binary64))
accuracy	0.1171875	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))

Samples

152.0ms	200×	1	valid
14.0ms	56×	0	valid

Compiler

Compiled 153 to 31 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-log1p: 38.0ms (26.7% of total)

adjust: 31.0ms (21.8% of total)

ival-log: 26.0ms (18.2% of total)

ival-pow: 20.0ms (14% of total)

ival-div: 10.0ms (7% of total)

ival-sub: 9.0ms (6.3% of total)

ival-add: 5.0ms (3.5% of total)

const: 4.0ms (2.8% of total)

exact: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

17 → 67

Calls

Call 1

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

Outputs
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/ (+ 1 N) N)
1
(+ 1 N)
(* -3 (log N))
(+ (* -3 (log N)) (pow N 3))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))
(* -2 (log N))
(+ (* -2 (log N)) (* -1 N))
(+ (* -2 (log N)) (* N (- (* 1/2 N) 1)))
(+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1)))
(- (* -3 (log N)) (* -2 (log N)))
(- (+ N (* -3 (log N))) (* -2 (log N)))
(- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N)))
(- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N)))
(/ 1 (pow N 3))
(/ (+ 1 (pow N 3)) (pow N 3))
(/ 1/3 N)
(/ 1 (pow N 2))
(/ (+ 1 (* -1 N)) (pow N 2))
(/ (+ 1 (* N (- N 1))) (pow N 2))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(+ 1 (/ 1 N))
N
(* N (+ 1 (/ 1 N)))
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N)
(/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N)
(+ 1 (/ 1 (pow N 3)))
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N))
(+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	N	@	-inf	((log (+ 1 (pow N -1))) (pow N -1) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (log (+ (pow N -3) 1)) (log (+ (pow N -2) (- 1 (pow N -1)))) (- (log (+ (pow N -3) 1)) (log (+ (pow N -2) (- 1 (pow N -1))))) (+ (pow N -3) 1) (/ 1/3 N) (+ (pow N -2) (- 1 (pow N -1))))
3.0ms	N	@	inf	((log (+ 1 (pow N -1))) (pow N -1) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (log (+ (pow N -3) 1)) (log (+ (pow N -2) (- 1 (pow N -1)))) (- (log (+ (pow N -3) 1)) (log (+ (pow N -2) (- 1 (pow N -1))))) (+ (pow N -3) 1) (/ 1/3 N) (+ (pow N -2) (- 1 (pow N -1))))
3.0ms	N	@	0	((log (+ 1 (pow N -1))) (pow N -1) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (log (+ (pow N -3) 1)) (log (+ (pow N -2) (- 1 (pow N -1)))) (- (log (+ (pow N -3) 1)) (log (+ (pow N -2) (- 1 (pow N -1))))) (+ (pow N -3) 1) (/ 1/3 N) (+ (pow N -2) (- 1 (pow N -1))))

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify187.0ms (3.1%)

Memory

8.7MiB live, 125.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	650
1	558	627
2	1756	597
3	7334	597
0	8353	579

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 66

Calls

Call 1

Inputs
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/ (+ 1 N) N)
1
(+ 1 N)
(* -3 (log N))
(+ (* -3 (log N)) (pow N 3))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))
(* -2 (log N))
(+ (* -2 (log N)) (* -1 N))
(+ (* -2 (log N)) (* N (- (* 1/2 N) 1)))
(+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1)))
(- (* -3 (log N)) (* -2 (log N)))
(- (+ N (* -3 (log N))) (* -2 (log N)))
(- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N)))
(- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N)))
(/ 1 (pow N 3))
(/ (+ 1 (pow N 3)) (pow N 3))
(/ 1/3 N)
(/ 1 (pow N 2))
(/ (+ 1 (* -1 N)) (pow N 2))
(/ (+ 1 (* N (- N 1))) (pow N 2))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(+ 1 (/ 1 N))
N
(* N (+ 1 (/ 1 N)))
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N)
(/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N)
(+ 1 (/ 1 (pow N 3)))
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N))
(+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))

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

rewrite233.0ms (3.8%)

Memory

6.0MiB live, 249.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	131
0	52	114
1	213	110
2	1466	110
0	8124	104

Stop Event

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

Counts

17 → 599

Calls

Call 1

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

Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))))))))
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(fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) N) #s(literal 1 binary64))) (/.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) N) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -2 binary64)))) (/.f64 (pow.f64 N #s(literal -4 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (/.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 N #s(literal -3 binary64)) (+.f64 (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64)))))))
(-.f64 (/.f64 (pow.f64 N #s(literal -4 binary64)) (-.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))) (/.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -2 binary64)))))) (/.f64 (pow.f64 N #s(literal -6 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -2 binary64)))))))
(+.f64 (/.f64 (pow.f64 N #s(literal -6 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -2 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -4 binary64)))) (/.f64 (pow.f64 N #s(literal -6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -4 binary64)))))
(+.f64 (/.f64 (pow.f64 N #s(literal -6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -4 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -4 binary64)))))
(+.f64 (/.f64 (pow.f64 N #s(literal -4 binary64)) (-.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (-.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64))))
(+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -2 binary64)))
(+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))

eval118.0ms (1.9%)

Memory: -17.5MiB live, 140.3MiB allocated
Compiler: Compiled 17 082 to 2 506 computations (85.3% saved)

prune17.0ms (0.3%)

Memory

15.3MiB live, 53.3MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	549	9	558
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	552	15	567

Accuracy

100.0%

Counts

567 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
	26.4%	(-.f64 (log.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N))))
	26.4%	(-.f64 (log.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 #s(approx (+ (pow N -2) (- 1 (pow N -1))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N) N)))))
	99.2%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
▶	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	25.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
▶	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (.f64 N (neg.f64 N))))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N)))
✓	85.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	95.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	96.5%	#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N))

Compiler

Compiled 456 to 347 computations (23.9% saved)

simplify75.0ms (1.2%)

Memory

-14.8MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 N N)
cost-diff	0	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
cost-diff	0	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
cost-diff	0	(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
cost-diff	0	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
cost-diff	2	(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
cost-diff	0	(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
cost-diff	0	(/.f64 #s(literal 1 binary64) N)
cost-diff	0	(log1p.f64 (/.f64 #s(literal 1 binary64) N))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	214
0	58	214
1	80	214
2	116	214
3	232	214
4	487	210
5	1031	210
6	1406	210
7	1600	210
8	1721	210
9	1784	210
10	1833	210
11	1888	210
12	1985	210
13	2087	210
14	2172	210
15	2209	210
16	2261	210
17	2300	210
18	2331	210
19	2340	210
0	2340	204

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

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

localize149.0ms (2.5%)

Memory

21.8MiB live, 144.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 N N)
accuracy	0.1171875	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
accuracy	0.12109375	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
accuracy	0.09375	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
accuracy	0.11328125	(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.2890625	(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.1162352662724833	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
accuracy	0.125	(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
accuracy	0.24609375	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
accuracy	0.3359375	(/.f64 #s(literal 1/3 binary64) N)
accuracy	2.948817382759107	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) N)
accuracy	0.00390625	(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
accuracy	0.08984375	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
accuracy	4.748434657419643	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
accuracy	0.0	(/.f64 #s(literal 1 binary64) N)
accuracy	0.1171875	(log1p.f64 (/.f64 #s(literal 1 binary64) N))

Samples

110.0ms	200×	1	valid
14.0ms	56×	0	valid

Compiler

Compiled 182 to 33 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-div: 27.0ms (27.7% of total)

ival-log1p: 16.0ms (16.4% of total)

adjust: 13.0ms (13.3% of total)

ival-sub: 11.0ms (11.3% of total)

const: 10.0ms (10.3% of total)

ival-pow: 9.0ms (9.2% of total)

ival-log: 6.0ms (6.2% of total)

ival-mult: 3.0ms (3.1% of total)

ival-add: 2.0ms (2.1% of total)

exact: 1.0ms (1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

-29.9MiB live, 8.3MiB allocated

Counts

20 → 56

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

-inf

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

3.0ms

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

2.0ms

inf

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

simplify144.0ms (2.4%)

Memory

22.0MiB live, 58.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	495
1	364	460
2	1022	442
3	3629	442
0	8346	428

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 56

Calls

Call 1

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

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

rewrite193.0ms (3.2%)

Memory

-2.5MiB live, 76.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	178
0	58	167
1	239	167
2	1743	167
0	8712	164

Stop Event

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

Counts

20 → 397

Calls

Call 1

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

Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -2 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
(log.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64)))) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (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)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 N)))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64))
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 N) #s(literal -1 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal -1 binary64) N)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (pow.f64 N #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 N #s(literal -2 binary64)))
(fabs.f64 (pow.f64 N #s(literal -1 binary64)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal -1/2 binary64) (*.f64 (log.f64 N) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64) (.f64 (log.f64 N) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 N) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal 4 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 N)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (pow.f64 N #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal 6 binary64))) (pow.f64 N #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) N) N) (.f64 #s(literal -1 binary64) N))) (neg.f64 (*.f64 N N)))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) N) (neg.f64 N)) N)) (.f64 N N))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) N)) (neg.f64 (neg.f64 N))) (.f64 (neg.f64 N) #s(literal -1 binary64))) (*.f64 (neg.f64 N) (neg.f64 (neg.f64 N))))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) N)) N) (.f64 (neg.f64 N) #s(literal -1 binary64))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) N)) (neg.f64 N)) (.f64 (neg.f64 N) #s(literal 1 binary64))) (*.f64 N N))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 N))) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) (neg.f64 (neg.f64 N))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 N)) (.f64 (.f64 (neg.f64 N) N) #s(literal 1 binary64))) (.f64 (*.f64 (neg.f64 N) N) (neg.f64 N)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) N) (neg.f64 (neg.f64 N))) (.f64 #s(literal -1 binary64) N)) (*.f64 N (neg.f64 (neg.f64 N))))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 N))) (.f64 (.f64 N N) #s(literal -1 binary64))) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) N) (.f64 (*.f64 N N) #s(literal -1 binary64))) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 N)) (.f64 N N)) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) N)) #s(literal 1 binary64)) (neg.f64 N))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (pow.f64 N #s(literal -2 binary64))) (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal 6 binary64))) (pow.f64 N #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) N) N) (.f64 #s(literal -1 binary64) N)) (*.f64 N N))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) N) (neg.f64 N)) N) (.f64 N (neg.f64 N)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))) (neg.f64 N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))) N))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) (neg.f64 N)))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) (+.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)) #s(literal 1 binary64))) (*.f64 (+.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 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #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) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 N))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal -1/2 binary64) N)
(neg.f64 (/.f64 #s(literal 1/2 binary64) N))
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (*.f64 (neg.f64 N) #s(literal -1 binary64))) (neg.f64 N))) (neg.f64 (neg.f64 N)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (*.f64 (neg.f64 N) #s(literal -1 binary64))) N)) (neg.f64 N))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 N N)))) (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (.f64 (neg.f64 N) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (.f64 N N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) N) (.f64 (neg.f64 N) #s(literal -1 binary64)))) (*.f64 N N))
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(/.f64 (fma.f64 #s(literal -1/3 binary64) (neg.f64 N) (.f64 (neg.f64 N) (neg.f64 (/.f64 #s(literal -1/4 binary64) N)))) (.f64 N N))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 (neg.f64 N) N) (.f64 (neg.f64 N) #s(literal 1/4 binary64))) (.f64 (neg.f64 N) (.f64 (neg.f64 N) N)))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N (.f64 (neg.f64 N) (/.f64 #s(literal -1/4 binary64) N))) (.f64 (neg.f64 N) N))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 N N) (.f64 (neg.f64 N) #s(literal -1/4 binary64))) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (neg.f64 N) (.f64 (neg.f64 (neg.f64 N)) (neg.f64 (/.f64 #s(literal -1/4 binary64) N)))) (.f64 (neg.f64 (neg.f64 N)) (neg.f64 N)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 N) N) (.f64 (neg.f64 (neg.f64 N)) #s(literal 1/4 binary64))) (.f64 (neg.f64 (neg.f64 N)) (.f64 (neg.f64 N) N)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N (.f64 (neg.f64 (neg.f64 N)) (/.f64 #s(literal -1/4 binary64) N))) (.f64 (neg.f64 (neg.f64 N)) N))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 N N) (.f64 (neg.f64 (neg.f64 N)) #s(literal -1/4 binary64))) (.f64 (neg.f64 (neg.f64 N)) (.f64 N N)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (neg.f64 N) (.f64 N (neg.f64 (/.f64 #s(literal -1/4 binary64) N)))) (.f64 N (neg.f64 N)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 N) N) (.f64 N #s(literal 1/4 binary64))) (.f64 N (.f64 (neg.f64 N) N)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N (.f64 N (/.f64 #s(literal -1/4 binary64) N))) (.f64 N N))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 N N) (.f64 N #s(literal -1/4 binary64))) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 N #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (neg.f64 N) (.f64 N #s(literal -1/3 binary64))) (.f64 N (neg.f64 N)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) N (.f64 N #s(literal 1/3 binary64))) (.f64 N N))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (neg.f64 N))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(neg.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) N))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)))
(+.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N))
(+.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) (.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1/27 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))

eval51.0ms (0.8%)

Memory: 11.1MiB live, 48.9MiB allocated
Compiler: Compiled 10 768 to 1 920 computations (82.2% saved)

prune28.0ms (0.5%)

Memory

-17.8MiB live, 21.6MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	388	5	393
Fresh	2	5	7
Picked	1	4	5
Done	0	3	3
Total	391	17	408

Accuracy

100.0%

Counts

408 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
	26.4%	(-.f64 (log.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N))))
	26.4%	(-.f64 (log.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 #s(approx (+ (pow N -2) (- 1 (pow N -1))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N) N)))))
▶	99.2%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	25.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
▶	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
✓	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N)))
	92.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N)))
✓	85.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	95.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
▶	92.3%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
	96.5%	#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N))

Compiler

Compiled 512 to 384 computations (25% saved)

simplify182.0ms (3%)

Memory

13.0MiB live, 57.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 N #s(literal -1/2 binary64))
cost-diff	0	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff	2	(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
cost-diff	0	(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
cost-diff	2	(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
cost-diff	2	(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))
cost-diff	0	(+.f64 #s(literal -1/2 binary64) N)
cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))
cost-diff	0	#s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
cost-diff	0	(log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))
cost-diff	0	(pow.f64 N #s(literal -3 binary64))
cost-diff	0	(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
cost-diff	0	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	270
0	76	268
1	114	266
2	203	266
3	436	266
4	872	256
5	1453	256
6	2095	256
7	3006	256
8	4124	256
9	5057	256
10	5955	256
0	8360	250

Stop Event

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

Calls

Call 1

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

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

localize235.0ms (3.9%)

Memory

14.6MiB live, 129.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 N #s(literal -1/2 binary64))
accuracy	0.1171875	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy	0.4677925293053261	(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.11328125	(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.2109375	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
accuracy	0.2890625	(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.1162352662724833	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
accuracy	0.125	(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))
accuracy	0.33203125	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N))
accuracy	0.3359375	(/.f64 #s(literal 1/3 binary64) N)
accuracy	2.948817382759107	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
accuracy	0.0	(*.f64 N N)
accuracy	0.0	#s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
accuracy	0.25	(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))
accuracy	4.748434657419643	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
accuracy	0.046875	(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
accuracy	0.0625	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
accuracy	0.07421875	(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))
accuracy	0.09765625	(log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))

Samples

188.0ms	200×	1	valid
18.0ms	56×	0	valid

Compiler

Compiled 226 to 43 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-pow: 38.0ms (26.7% of total)

ival-div: 31.0ms (21.7% of total)

adjust: 20.0ms (14% of total)

ival-log1p: 16.0ms (11.2% of total)

ival-sub: 12.0ms (8.4% of total)

const: 6.0ms (4.2% of total)

ival-log: 6.0ms (4.2% of total)

ival-add: 5.0ms (3.5% of total)

ival-pow2: 5.0ms (3.5% of total)

ival-mult: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series76.0ms (1.3%)

Memory

-25.4MiB live, 21.8MiB allocated

Counts

24 → 89

Calls

Call 1

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

Outputs
(- (* -3 (log N)) (* -2 (log N)))
(- (+ N (* -3 (log N))) (* -2 (log N)))
(- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N)))
(- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N)))
(* -3 (log N))
(+ (* -3 (log N)) (pow N 3))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))
(/ 1 (pow N 3))
(* -2 (log N))
(+ (* -2 (log N)) (* -1 N))
(+ (* -2 (log N)) (* N (- (* 1/2 N) 1)))
(+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1)))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
-1/2
(- N 1/2)
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 N)
(/ (+ 1/3 (* -1/2 N)) N)
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 N)
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(sqrt (/ 1 N))
(/ 1 (pow N 2))
(/ (+ 1 (* -1 N)) (pow N 2))
(pow N 2)
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N)
(/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N)
N
(* N (- 1 (* 1/2 (/ 1 N))))
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(- (* 1/3 (/ 1 N)) 1/2)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ 1/3 (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/ (- (/ 1 N) 1) N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (/ (pow (sqrt -1) 2) N))
(* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2))
(* -1 (/ (- 1 (/ 1 N)) N))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))

Calls

3 calls:

Time

Variable

Point

Expression

67.0ms

inf

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

5.0ms

-inf

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

3.0ms

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

simplify175.0ms (2.9%)

Memory

18.8MiB live, 92.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	912
1	718	834
2	2257	794
3	7998	794
0	8036	766

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 88

Calls

Call 1

Inputs
(- (* -3 (log N)) (* -2 (log N)))
(- (+ N (* -3 (log N))) (* -2 (log N)))
(- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N)))
(- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N)))
(* -3 (log N))
(+ (* -3 (log N)) (pow N 3))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))
(/ 1 (pow N 3))
(* -2 (log N))
(+ (* -2 (log N)) (* -1 N))
(+ (* -2 (log N)) (* N (- (* 1/2 N) 1)))
(+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1)))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
-1/2
(- N 1/2)
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 N)
(/ (+ 1/3 (* -1/2 N)) N)
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 N)
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(sqrt (/ 1 N))
(/ 1 (pow N 2))
(/ (+ 1 (* -1 N)) (pow N 2))
(pow N 2)
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N)
(/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N)
N
(* N (- 1 (* 1/2 (/ 1 N))))
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(- (* 1/3 (/ 1 N)) 1/2)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ 1/3 (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/ (- (/ 1 N) 1) N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (/ (pow (sqrt -1) 2) N))
(* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2))
(* -1 (/ (- 1 (/ 1 N)) N))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))

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

rewrite166.0ms (2.7%)

Memory

-7.5MiB live, 190.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	229
0	76	231
1	341	203
2	2622	203
0	8715	198

Stop Event

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

Counts

24 → 484

Calls

Call 1

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

Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -2 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))))) (log.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 N)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -6 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (-.f64 (pow.f64 N #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 N)))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -9 binary64))) (log.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))) (pow.f64 N #s(literal -3 binary64))) (-.f64 (pow.f64 N #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 N)))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 2 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))
(log.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal -9 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))) (pow.f64 N #s(literal -3 binary64))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -6 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -9 binary64))) (log.f64 (+.f64 (pow.f64 N #s(literal -6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -9 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) (pow.f64 N #s(literal -3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 N #s(literal -3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 N #s(literal -3/2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -5/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3/2 binary64)))) (pow.f64 N #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal -3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 N #s(literal -3/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal -3/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 N #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) #s(literal 6 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 N #s(literal -3/4 binary64)) (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 N #s(literal -5/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3/2 binary64))) (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 N #s(literal -3/2 binary64)) (pow.f64 N #s(literal -3/2 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64)))
(*.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -3 binary64)) (log.f64 N))
(pow.f64 (neg.f64 (pow.f64 N #s(literal -3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 12 binary64))
(pow.f64 (pow.f64 N #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 N) #s(literal -3 binary64))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 6 binary64))
(pow.f64 (*.f64 N N) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 3/2 binary64))
(pow.f64 N #s(literal -3 binary64))
(/.f64 (neg.f64 (pow.f64 N #s(literal -2 binary64))) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 N #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (pow.f64 N #s(literal -2 binary64)) N)
(neg.f64 (pow.f64 N #s(literal -3 binary64)))
(sqrt.f64 (pow.f64 N #s(literal -6 binary64)))
(fabs.f64 (pow.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))))
(exp.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal -3/2 binary64) (*.f64 (log.f64 N) #s(literal -3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 N) #s(literal -3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 N) #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal -3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 N)) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 N N)) #s(literal -3/2 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal -3 binary64)))
(log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 1 binary64))))
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(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))))
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(log.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) N)))
#s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) N))
(/.f64 (+.f64 (/.f64 N (neg.f64 N)) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 N N))) (neg.f64 (.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
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(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N)) (neg.f64 N))
(/.f64 (neg.f64 (+.f64 (neg.f64 N) #s(literal 1/2 binary64))) (*.f64 N N))
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(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) N)
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 N N)) (.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1/8 binary64)) (.f64 (fma.f64 N (-.f64 N #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (.f64 N N)))
(/.f64 (+.f64 (neg.f64 N) #s(literal 1/2 binary64)) (*.f64 (neg.f64 N) N))
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(fma.f64 (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) #s(literal 4 binary64)) (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 N #s(literal -3/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(fma.f64 (pow.f64 N #s(literal -3/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -3/2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -3/2 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal -4 binary64)) (/.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N)) (/.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N)))
(-.f64 (/.f64 (pow.f64 N #s(literal -6 binary64)) (+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal -4 binary64)))) (/.f64 (pow.f64 N #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal -4 binary64)))))
(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))
(+.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(+.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 N))) (neg.f64 (neg.f64 (neg.f64 N))))
(*.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)))
(*.f64 (neg.f64 N) (neg.f64 N))
(.f64 (.f64 N N) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 N N))
(*.f64 N N)
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal 2 binary64))
(pow.f64 (neg.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 N) N))
(sqrt.f64 (pow.f64 N #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 N) N))
(fabs.f64 (*.f64 N N))
(+.f64 (cosh.f64 (.f64 (log.f64 N) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1/3 binary64) N)
(neg.f64 (/.f64 #s(literal -1/3 binary64) N))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(literal -1/3 binary64) N))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) N)))
(fabs.f64 (/.f64 #s(literal 1/3 binary64) N))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 N #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (neg.f64 N) (.f64 N #s(literal -1/3 binary64)))) (.f64 N N))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) N (.f64 N #s(literal 1/3 binary64)))) (.f64 (neg.f64 N) N))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 N #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (neg.f64 N) (.f64 N #s(literal -1/3 binary64))) (.f64 (neg.f64 N) N))
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) N (.f64 N #s(literal 1/3 binary64))) (.f64 N N))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (neg.f64 N))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 #s(literal 1/9 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) N) (/.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) N))
(+.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N))
(+.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))

eval79.0ms (1.3%)

Memory: -6.4MiB live, 154.8MiB allocated
Compiler: Compiled 15 363 to 2 444 computations (84.1% saved)

prune22.0ms (0.4%)

Memory

9.4MiB live, 54.8MiB allocated

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	549	9	558
Fresh	2	3	5
Picked	3	2	5
Done	0	7	7
Total	554	21	575

Accuracy

100.0%

Counts

575 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N))))
	99.8%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (neg.f64 N)))))
	26.4%	(-.f64 (log.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 #s(approx (+ (pow N -2) (- 1 (pow N -1))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N) N)))))
✓	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
	99.2%	(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	25.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
✓	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
✓	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N)))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
✓	85.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
✓	95.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
	92.3%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 N N)) (.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
✓	92.3%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
	92.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 N (*.f64 N N)))))
	96.5%	#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N))

Compiler

Compiled 1 075 to 518 computations (51.8% saved)

regimes19.0ms (0.3%)

Memory

-2.2MiB live, 36.7MiB allocated

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes12.0ms (0.2%)

Memory

-18.6MiB live, 20.7MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

6.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
96.6%	1	`N`
96.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 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
96.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.6%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory

-22.9MiB live, 16.5MiB allocated

Counts

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

Outputs
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) 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
96.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.3%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.3%	1	`N`
95.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes57.0ms (0.9%)

Memory

-46.3MiB live, 5.1MiB allocated

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

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

Calls

2 calls:

55.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
1.0ms	N

Results

Accuracy	Segments	Branch
92.3%	1	`N`
92.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.0%	1	`N`
85.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify20.0ms (0.3%)

Memory

29.6MiB live, 29.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	174
1	90	174
2	115	174
3	163	174
4	253	174
5	373	174
6	480	174
7	558	174
8	570	174

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.4s (23.6%)

Memory

-14.9MiB live, 568.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	178
0	58	167
1	239	167
2	1743	167
0	8712	164
0	32	131
0	52	114
1	213	110
2	1466	110
0	8124	104
0	189	650
1	558	627
2	1756	597
3	7334	597
0	8353	579
0	47	229
0	76	231
1	341	203
2	2622	203
0	8715	198
0	246	912
1	718	834
2	2257	794
3	7998	794
0	8036	766
0	6	16
0	10	15
1	41	15
2	254	15
3	2342	15
0	8419	11
0	126	495
1	364	460
2	1022	442
3	3629	442
0	8346	428
0	88	259
1	254	233
2	628	233
3	1724	230
4	5376	227
0	8294	221

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 292 to 166 computations (43.2% saved)

preprocess74.0ms (1.2%)

Memory: 16.1MiB live, 97.9MiB allocated
Compiler: Compiled 416 to 186 computations (55.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	32	165
0	52	163
1	69	163
2	81	163
3	97	163
4	134	163
5	210	163
6	307	163
7	400	163
8	442	163
9	456	163
10	456	163
0	456	151

Iter	Nodes	Cost
0	64	174
1	90	174
2	115	174
3	163	174
4	253	174
5	373	174
6	480	174
7	558	174
8	570	174

Iter	Nodes	Cost
0	32	165
0	52	163
1	69	163
2	81	163
3	97	163
4	134	163
5	210	163
6	307	163
7	400	163
8	442	163
9	456	163
10	456	163
0	456	151

Iter	Nodes	Cost
0	64	174
1	90	174
2	115	174
3	163	174
4	253	174
5	373	174
6	480	174
7	558	174
8	570	174

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (24.1%)

explain116.0ms (1.9%)

preprocess12.0ms (0.2%)

eval0.0ms (0%)

prune6.0ms (0.1%)

simplify4.0ms (0.1%)

localize35.0ms (0.6%)

series75.0ms (1.2%)

simplify144.0ms (2.4%)

rewrite151.0ms (2.5%)

eval49.0ms (0.8%)

prune9.0ms (0.1%)

simplify15.0ms (0.2%)

localize192.0ms (3.1%)

series11.0ms (0.2%)

simplify187.0ms (3.1%)

rewrite233.0ms (3.8%)

eval118.0ms (1.9%)

prune17.0ms (0.3%)

simplify75.0ms (1.2%)

localize149.0ms (2.5%)

series17.0ms (0.3%)

simplify144.0ms (2.4%)

rewrite193.0ms (3.2%)

eval51.0ms (0.8%)

prune28.0ms (0.5%)

simplify182.0ms (3%)

localize235.0ms (3.9%)

series76.0ms (1.3%)

simplify175.0ms (2.9%)

rewrite166.0ms (2.7%)

eval79.0ms (1.3%)

prune22.0ms (0.4%)

regimes19.0ms (0.3%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes57.0ms (0.9%)

regimes2.0ms (0%)

simplify20.0ms (0.3%)

soundness1.4s (23.6%)

preprocess74.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	32	165
0	52	163
1	69	163
2	81	163
3	97	163
4	134	163
5	210	163
6	307	163
7	400	163
8	442	163
9	456	163
10	456	163
0	456	151

Iter	Nodes	Cost
0	64	174
1	90	174
2	115	174
3	163	174
4	253	174
5	373	174
6	480	174
7	558	174
8	570	174