Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.0s (33.6%)

Memory

-270.4MiB live, 2 290.2MiB allocated; 1.3s collecting garbage

Samples

1.6s	7 354×	1	valid
52.0ms	902×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-log: 739.0ms (54.1% of total)

ival-log1p: 306.0ms (22.4% of total)

adjust: 170.0ms (12.4% of total)

ival-sub: 80.0ms (5.9% of total)

ival->: 26.0ms (1.9% of total)

ival-<: 17.0ms (1.2% of total)

ival-and: 13.0ms (1% of total)

exact: 11.0ms (0.8% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain142.0ms (2.4%)

Memory

-3.4MiB live, 233.1MiB allocated; 38ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
250	1	(1001.8158418056491)	-	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	-	`N`
0	0	-	-	`(log.f64 N)`
0	0	-	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
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	251	2

Confusion

	Predicted +	Predicted -
+	250	0
-	1	5

Precision

0.9960159362549801

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	250	0	0
-	1	2	3

Precision?

0.9881422924901185

Recall?

1.0

Freqs

test

number	freq
0	5
1	251

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms	472×	1	valid
5.0ms	40×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-log: 23.0ms (35.3% of total)

ival-log1p: 18.0ms (27.7% of total)

adjust: 12.0ms (18.4% of total)

ival-add: 5.0ms (7.7% of total)

ival-sub: 5.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess19.0ms (0.3%)

Memory

-32.8MiB live, 21.9MiB allocated; 14ms collecting garbage

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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.8%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify0.0ms (0%)

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

series53.0ms (0.9%)

Memory

26.2MiB live, 70.1MiB allocated; 8ms collecting garbage

Counts

6 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	N	@	0	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
18.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
11.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

simplify150.0ms (2.5%)

Memory

-11.2MiB live, 215.4MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	259
1	254	233
2	628	233
3	1729	230
4	5360	227
0	8305	221

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

rewrite180.0ms (3%)

Memory

21.6MiB live, 211.5MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	17
1	41	17
2	254	17
3	2342	17
0	8419	13

Stop Event

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

Counts

6 → 256

Calls

Call 1

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

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

eval81.0ms (1.4%)

Memory: -18.2MiB live, 95.6MiB allocated; 41ms collecting garbage
Compiler: Compiled 6 480 to 1 119 computations (82.7% saved)

prune8.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	289	7	296
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	290	7	297

Accuracy

100.0%

Counts

297 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(-.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)))))
▶	99.9%	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
	25.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
▶	97.3%	#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))
▶	96.2%	#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))
▶	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
▶	86.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 182 to 148 computations (18.7% saved)

simplify0.0ms (0%)

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

series14.0ms (0.2%)

Memory

-27.0MiB live, 18.0MiB allocated; 7ms collecting garbage

Counts

29 → 58

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

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	N	@	inf	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ 1 N) 1 (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (- (/ -1/2 N) -1) (/ -1/2 N) -1/2 (- (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) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (- (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) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4)
3.0ms	N	@	-inf	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ 1 N) 1 (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (- (/ -1/2 N) -1) (/ -1/2 N) -1/2 (- (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) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (- (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) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4)
3.0ms	N	@	0	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ 1 N) 1 (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (- (/ -1/2 N) -1) (/ -1/2 N) -1/2 (- (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) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (- (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) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4)

Time

Variable

Point

Expression

7.0ms

inf

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

3.0ms

-inf

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

3.0ms

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

simplify135.0ms (2.3%)

Memory

40.7MiB live, 271.2MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	506
1	313	472
2	872	442
3	2996	442
0	8533	429

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

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

rewrite192.0ms (3.3%)

Memory

4.8MiB live, 336.7MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	198
0	52	194
1	208	194
2	1430	194
0	8340	190

Stop Event

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

Counts

29 → 433

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

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

eval139.0ms (2.3%)

Memory: -5.9MiB live, 189.6MiB allocated; 51ms collecting garbage
Compiler: Compiled 17 155 to 2 591 computations (84.9% saved)

prune22.0ms (0.4%)

Memory

11.1MiB live, 56.7MiB allocated; 4ms collecting garbage

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	483	14	497
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	486	18	504

Accuracy

100.0%

Counts

504 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(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)))
	95.0%	(log1p.f64 (pow.f64 (exp.f64 (log.f64 N)) #s(literal -1 binary64)))
▶	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	97.3%	#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))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
✓	97.3%	#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))
✓	96.2%	#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))
	86.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
✓	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
	97.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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) (neg.f64 N)) N) (.f64 N (neg.f64 N))))
	96.9%	#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)))
✓	86.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	97.3%	#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) N) (/.f64 #s(literal -1 binary64) N)))
▶	96.2%	#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)))
	93.9%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
▶	95.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 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)))))
▶	93.6%	#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))))

Compiler

Compiled 620 to 472 computations (23.9% saved)

simplify0.0ms (0%)

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

series35.0ms (0.6%)

Memory

-11.7MiB live, 34.7MiB allocated; 4ms collecting garbage

Counts

37 → 68

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

Calls

3 calls:

Time	Variable		Point	Expression
27.0ms	N	@	0	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (+ -1/2 N) (* N N)) (+ -1/2 N) -1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (/ -1 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) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (+ (/ 1/2 N) -1) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) (pow N 3) 3)
3.0ms	N	@	-inf	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (+ -1/2 N) (* N N)) (+ -1/2 N) -1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (/ -1 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) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (+ (/ 1/2 N) -1) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) (pow N 3) 3)
3.0ms	N	@	inf	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (+ -1/2 N) (* N N)) (+ -1/2 N) -1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (/ -1 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) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (+ (/ 1/2 N) -1) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) (pow N 3) 3)

Time

Variable

Point

Expression

27.0ms

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

3.0ms

-inf

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

3.0ms

inf

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

simplify167.0ms (2.8%)

Memory

-15.8MiB live, 173.1MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	528
1	334	508
2	927	464
3	3797	464
0	8516	443

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 67

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

rewrite306.0ms (5.2%)

Memory

0.5MiB live, 293.9MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	290
0	74	282
1	305	276
2	2354	276
0	9560	272

Stop Event

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

Counts

37 → 569

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

eval155.0ms (2.6%)

Memory: 10.6MiB live, 162.0MiB allocated; 27ms collecting garbage
Compiler: Compiled 29 023 to 3 935 computations (86.4% saved)

prune39.0ms (0.7%)

Memory

10.8MiB live, 55.8MiB allocated; 6ms collecting garbage

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	869	11	880
Fresh	4	5	9
Picked	3	2	5
Done	0	4	4
Total	876	22	898

Accuracy

100.0%

Counts

898 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(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)))
	95.0%	(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 N))))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	97.3%	#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))
✓	96.2%	#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))
	97.3%	#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))
	86.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
✓	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
	97.2%	#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))
	96.9%	#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)))
▶	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N))
✓	86.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	97.3%	#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) N) (/.f64 #s(literal -1 binary64) N)))
	97.2%	#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)))
	96.2%	#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)))
▶	95.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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 N N)) N)))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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)) N) (*.f64 N N))))
▶	93.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (pow.f64 N #s(literal 3 binary64)))))
	93.6%	#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)))))
✓	93.6%	#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))))

Compiler

Compiled 897 to 667 computations (25.6% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series18.0ms (0.3%)

Memory

-33.0MiB live, 13.1MiB allocated; 6ms collecting garbage

Counts

38 → 82

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

-inf

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

3.0ms

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

3.0ms

inf

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

simplify166.0ms (2.8%)

Memory

16.8MiB live, 113.7MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	700
1	412	677
2	1180	605
3	4689	605
0	8153	583

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 81

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

rewrite175.0ms (3%)

Memory

16.8MiB live, 109.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	407
0	82	387
1	323	381
2	2519	373
0	9180	373

Stop Event

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

Counts

38 → 449

Calls

Call 1

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

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

eval136.0ms (2.3%)

Memory: 10.2MiB live, 108.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 26 354 to 3 621 computations (86.3% saved)

prune35.0ms (0.6%)

Memory

-9.2MiB live, 80.3MiB allocated; 7ms collecting garbage

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	786	7	793
Fresh	1	10	11
Picked	2	3	5
Done	0	6	6
Total	789	26	815

Accuracy

100.0%

Counts

815 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64)))
✓	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
	95.0%	(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 N))))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	97.3%	#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))
✓	96.2%	#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))
	97.3%	#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))
	86.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
✓	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
	97.2%	#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))
	96.9%	#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)))
✓	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N))
✓	86.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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) N) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))))
	97.2%	#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)))
	97.3%	#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) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
	96.2%	#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)))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) N)) N #s(literal 1/3 binary64)) (.f64 (*.f64 N N) N))))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 (.f64 (sqrt.f64 N) (sqrt.f64 N)) #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (*.f64 N N) N))))
✓	95.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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 N N)) N)))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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)) N) (*.f64 N N))))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (+.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) (.f64 (*.f64 N N) N))))
	93.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (.f64 (*.f64 N N) N))))
	93.6%	#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)))))
✓	93.6%	#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))))

Compiler

Compiled 1 515 to 680 computations (55.1% saved)

regimes21.0ms (0.4%)

Memory

-7.6MiB live, 36.7MiB allocated; 3ms collecting garbage

Counts

40 → 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 (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #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)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (+.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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)) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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 N N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.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(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #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)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) N)) N #s(literal 1/3 binary64)) (.f64 (*.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 #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) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 (.f64 (sqrt.f64 N) (sqrt.f64 N)) #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #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 -1/4 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) N) (/.f64 #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 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 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #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 (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)))
#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) N) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 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)))))
(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 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 N))))
(log1p.f64 (pow.f64 (exp.f64 (log.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)))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.9%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes13.0ms (0.2%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms collecting garbage

Counts

28 → 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 (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #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)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (+.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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)) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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 N N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.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(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #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)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) N)) N #s(literal 1/3 binary64)) (.f64 (*.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 #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) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 (.f64 (sqrt.f64 N) (sqrt.f64 N)) #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #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 -1/4 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) N) (/.f64 #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 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 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #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 (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)))
#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) N) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 N) (sqrt.f64 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:

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

Results

Accuracy	Segments	Branch
97.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.3%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes51.0ms (0.9%)

Memory

-44.4MiB live, 13.0MiB allocated; 5ms collecting garbage

Counts

17 → 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 (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #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)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (+.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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)) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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 N N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.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(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #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)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) N)) N #s(literal 1/3 binary64)) (.f64 (*.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 #s(literal 1/3 binary64) 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 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))

Calls

2 calls:

47.0ms	N
3.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
96.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.2%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

11 → 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 (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #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)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (+.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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)) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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 N N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N))

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) 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
96.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.2%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

10 → 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 (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #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)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (+.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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)) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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 N N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))

Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 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 N N)) N)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.1%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.9%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

7 → 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 (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #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)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (+.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) (.f64 (*.f64 N N) N))))

Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (+.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) (.f64 (*.f64 N N) 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
95.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes12.0ms (0.2%)

Memory

-40.7MiB live, 6.9MiB allocated; 1ms collecting garbage

Counts

6 → 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 (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #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)) #s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))

Calls

2 calls:

10.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
2.0ms	N

Results

Accuracy	Segments	Branch
95.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #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 (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (.f64 (*.f64 N 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
1.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
93.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
93.9%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
93.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
93.6%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
86.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
86.2%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify83.0ms (1.4%)

Memory

15.9MiB live, 61.5MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	259
1	108	259
2	148	259
3	234	259
4	375	257
5	631	257
6	998	257
7	1351	257
8	1544	257
9	1624	257
10	1830	257
11	4617	257

Stop Event

1×	node limit

Calls

Call 1

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

derivations1.3s (21.5%)

Memory

-7.3MiB live, 1 087.2MiB allocated; 204ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	259
1	254	233
2	628	233
3	1729	230
4	5360	227
0	8305	221
0	6	18
0	10	17
1	41	17
2	254	17
3	2342	17
0	8419	13
0	49	290
0	74	282
1	305	276
2	2354	276
0	9560	272
0	117	528
1	334	508
2	927	464
3	3797	464
0	8516	443
0	33	198
0	52	194
1	208	194
2	1430	194
0	8340	190
0	111	506
1	313	472
2	872	442
3	2996	442
0	8533	429
0	58	407
0	82	387
1	323	381
2	2519	373
0	9180	373

Stop Event

1×	fuel
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
1×	iter limit
1×	node limit

Compiler

Compiled 259 to 82 computations (68.3% saved)

preprocess78.0ms (1.3%)

Memory: 21.7MiB live, 168.1MiB allocated; 14ms collecting garbage
Compiler: Compiled 586 to 214 computations (63.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.0s (33.6%)

explain142.0ms (2.4%)

preprocess19.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series53.0ms (0.9%)

simplify150.0ms (2.5%)

rewrite180.0ms (3%)

eval81.0ms (1.4%)

prune8.0ms (0.1%)

simplify0.0ms (0%)

series14.0ms (0.2%)

simplify135.0ms (2.3%)

rewrite192.0ms (3.3%)

eval139.0ms (2.3%)

prune22.0ms (0.4%)

simplify0.0ms (0%)

series35.0ms (0.6%)

simplify167.0ms (2.8%)

rewrite306.0ms (5.2%)

eval155.0ms (2.6%)

prune39.0ms (0.7%)

simplify0.0ms (0%)

series18.0ms (0.3%)

simplify166.0ms (2.8%)

rewrite175.0ms (3%)

eval136.0ms (2.3%)

prune35.0ms (0.6%)

regimes21.0ms (0.4%)

regimes13.0ms (0.2%)

regimes51.0ms (0.9%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes12.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify83.0ms (1.4%)

derivations1.3s (21.5%)

preprocess78.0ms (1.3%)

end0.0ms (0%)

Profiling