Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.6s (27.9%)

Memory

-16.7MiB live, 1 859.6MiB allocated

Samples

1.1s	6 422×	1	valid
129.0ms	1 834×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-log: 341.0ms (33.7% of total)

ival-log1p: 313.0ms (30.9% of total)

adjust: 141.0ms (13.9% of total)

ival-sub: 99.0ms (9.8% of total)

ival-<: 61.0ms (6% of total)

ival->: 31.0ms (3.1% of total)

ival-and: 11.0ms (1.1% of total)

exact: 11.0ms (1.1% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain157.0ms (2.8%)

Memory

6.6MiB live, 141.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
250	1	(29.696148501528835)	1	(13.336526752206932)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	0	-	`N`
0	0	-	0	-	`(log.f64 N)`
0	0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	250	1

Confusion

	Predicted +	Predicted -
+	249	1
-	1	5

Precision

0.996

Recall

0.996

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	249	1	0
-	1	0	5

Precision?

0.9960159362549801

Recall?

1.0

Freqs

test

number	freq
0	6
1	250

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms	424×	1	valid
5.0ms	88×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-log: 17.0ms (34.4% of total)

ival-log1p: 15.0ms (30.4% of total)

adjust: 9.0ms (18.2% of total)

ival-sub: 5.0ms (10.1% of total)

ival-add: 3.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.5%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.8%)

Memory

-20.7MiB live, 35.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0.0	(log.f64 N)
accuracy	50.2383770845409	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

36.0ms	212×	1	valid
3.0ms	44×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-log: 13.0ms (44.5% of total)

ival-log1p: 8.0ms (27.4% of total)

adjust: 4.0ms (13.7% of total)

ival-sub: 2.0ms (6.8% of total)

ival-add: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (1.3%)

Memory

-9.9MiB live, 79.8MiB allocated

Counts

4 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
40.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
25.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
6.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify123.0ms (2.1%)

Memory

18.1MiB live, 154.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

rewrite158.0ms (2.8%)

Memory

28.0MiB live, 118.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 238

Calls

Call 1

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

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

eval57.0ms (1%)

Memory: -43.2MiB live, 64.5MiB allocated
Compiler: Compiled 6 119 to 1 019 computations (83.3% saved)

prune7.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	253	8	261
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	254	8	262

Accuracy

100.0%

Counts

262 → 8

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)))))
▶	99.7%	(*.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))))
▶	99.9%	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
▶	23.7%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	97.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	95.8%	#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))
	93.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
▶	86.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 214 to 166 computations (22.4% saved)

simplify112.0ms (2%)

Memory

-22.7MiB live, 123.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 N)
cost-diff	0	(log.f64 N)
cost-diff	0	(+.f64 (log.f64 N) (log1p.f64 N))
cost-diff	12	(*.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))))
cost-diff	0	(+.f64 #s(literal 1 binary64) N)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
cost-diff	2	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
cost-diff	0	(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
cost-diff	0	(/.f64 #s(literal 1 binary64) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
cost-diff	0	(pow.f64 N #s(literal -1 binary64))
cost-diff	0	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	143
0	44	125
1	61	125
2	80	125
3	123	125
4	212	125
5	360	125
6	951	125
7	5548	125
0	8199	125

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (2%)

Memory

38.7MiB live, 129.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
accuracy	0.1015625	(+.f64 (log.f64 N) (log1p.f64 N))
accuracy	0.31087875976844204	(*.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))))
accuracy	0.33431625976844204	(/.f64 (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
accuracy	0.0	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
accuracy	0.0	(+.f64 #s(literal 1 binary64) N)
accuracy	48.8460008696641	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
accuracy	0.03125	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
accuracy	0.04296875	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
accuracy	0.3125	(/.f64 #s(literal 1/3 binary64) N)
accuracy	2.63564584103681	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
accuracy	0.0	(/.f64 #s(literal 1 binary64) N)
accuracy	8.705860709794582	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.0	(pow.f64 N #s(literal -1 binary64))
accuracy	0.08984375	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))

Samples

84.0ms	198×	1	valid
12.0ms	58×	0	valid

Compiler

Compiled 147 to 24 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-log: 17.0ms (24% of total)

ival-div: 12.0ms (16.9% of total)

ival-log1p: 11.0ms (15.5% of total)

adjust: 10.0ms (14.1% of total)

ival-pow: 6.0ms (8.5% of total)

ival-sub: 4.0ms (5.6% of total)

const: 4.0ms (5.6% of total)

ival-add: 4.0ms (5.6% of total)

ival-mult: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (1%)

Memory

-43.7MiB live, 52.1MiB allocated

Counts

17 → 68

Calls

Call 1

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

Outputs
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/ (+ 1 N) N)
1
(+ 1 N)
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
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))))
(/ 1/3 N)
-1
(- (* 2 (/ N (log N))) 1)
(- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(- (* N (+ (* N (- (* N (- (+ (* 2/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(+ 1 (/ 1 N))
(* N (+ 1 (/ 1 N)))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(/ -1/2 (* N (log (/ 1 N))))
(/ (- (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (* 1/2 (/ 1 (log (/ 1 N)))))) N)
(/ (- (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(/ (- (+ (/ 1/8 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/6 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 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))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(+ (* -2 (log (/ -1 N))) (* 2 (log -1)))
(+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N)))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (* 2 (log -1))))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (* 2 (log -1))))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(/ 1 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(* -1 (/ (- (+ (/ 1/2 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))
(* -1 (/ (- (* -1 (/ (- (+ (/ 1/3 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))))) (+ (* 1/2 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (/ 1/4 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ 2/3 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))))))) (+ (* 1/3 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))))) N)) (+ (* 1/2 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))

Calls

3 calls:

Time	Variable		Point	Expression
30.0ms	N	@	0	((log (+ 1 (pow N -1))) (pow N -1) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (* (+ (log N) (log (+ 1 N))) (/ (log (+ 1 (pow N -1))) (+ (log N) (log (+ 1 N))))) (+ (log N) (log (+ 1 N))) (log N) (log (+ 1 N)) (/ 1/3 N) (/ (log (+ 1 (pow N -1))) (+ (log N) (log (+ 1 N)))))
15.0ms	N	@	-inf	((log (+ 1 (pow N -1))) (pow N -1) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (* (+ (log N) (log (+ 1 N))) (/ (log (+ 1 (pow N -1))) (+ (log N) (log (+ 1 N))))) (+ (log N) (log (+ 1 N))) (log N) (log (+ 1 N)) (/ 1/3 N) (/ (log (+ 1 (pow N -1))) (+ (log N) (log (+ 1 N)))))
9.0ms	N	@	inf	((log (+ 1 (pow N -1))) (pow N -1) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (* (+ (log N) (log (+ 1 N))) (/ (log (+ 1 (pow N -1))) (+ (log N) (log (+ 1 N))))) (+ (log N) (log (+ 1 N))) (log N) (log (+ 1 N)) (/ 1/3 N) (/ (log (+ 1 (pow N -1))) (+ (log N) (log (+ 1 N)))))

Time

Variable

Point

Expression

30.0ms

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

15.0ms

-inf

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

9.0ms

inf

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

simplify158.0ms (2.8%)

Memory

44.7MiB live, 132.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	1276
1	784	1131
2	2760	1062
0	8252	1035

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 (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/ (+ 1 N) N)
1
(+ 1 N)
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
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))))
(/ 1/3 N)
-1
(- (* 2 (/ N (log N))) 1)
(- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(- (* N (+ (* N (- (* N (- (+ (* 2/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(+ 1 (/ 1 N))
(* N (+ 1 (/ 1 N)))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(/ -1/2 (* N (log (/ 1 N))))
(/ (- (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (* 1/2 (/ 1 (log (/ 1 N)))))) N)
(/ (- (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(/ (- (+ (/ 1/8 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/6 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 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))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(+ (* -2 (log (/ -1 N))) (* 2 (log -1)))
(+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N)))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (* 2 (log -1))))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (* 2 (log -1))))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(/ 1 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(* -1 (/ (- (+ (/ 1/2 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))
(* -1 (/ (- (* -1 (/ (- (+ (/ 1/3 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))))) (+ (* 1/2 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (/ 1/4 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ 2/3 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))))))) (+ (* 1/3 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))))) N)) (+ (* 1/2 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))

Outputs
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N)))
(/ 1/3 (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)))
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(/ 1/3 (pow N 2))
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(/ (+ 1/3 (* -1/2 N)) (pow N 2))
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(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
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(/ (+ 1 N) N)
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(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (log.f64 N))
N
(* N (+ 1 (* -1/2 N)))
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(/ 1/3 N)
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(- (* N (+ (* N (- (* N (- (+ (* 2/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
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(/ (- 1 (* 1/2 (/ 1 N))) N)
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(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
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(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
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(* -2 (log (/ 1 N)))
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(* -1 (log (/ 1 N)))
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(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(+.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) (log.f64 N))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
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(/ -1/2 (* N (log (/ 1 N))))
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(/ (- (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (* 1/2 (/ 1 (log (/ 1 N)))))) N)
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (log.f64 N))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 N))) (/.f64 #s(literal 1/2 binary64) (log.f64 N))) N)
(/ (- (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 N)) N) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N) N))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 N)) N)) (neg.f64 (log.f64 N))) (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 N)))) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (neg.f64 (log.f64 N))) (.f64 N N)))) N)
(/ (- (+ (/ 1/8 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/6 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))) N)
(/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (log.f64 N))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N) N))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 N)))) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (neg.f64 (log.f64 N)))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 N)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/12 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) (neg.f64 (log.f64 N))))))) N)
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(* -1 (/ (- (* -1 (/ (- (+ (/ 1/3 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))))) (+ (* 1/2 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) N) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) (neg.f64 N)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) (neg.f64 N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (/ 1/4 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ 2/3 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))))))) (+ (* 1/3 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))))) N)) (+ (* 1/2 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) N)) (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) N) (/.f64 (/.f64 #s(literal 1 binary64) N) (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) (pow.f64 (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 4 binary64)))) (/.f64 #s(literal 1/3 binary64) (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 N)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) (neg.f64 N)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) (neg.f64 N))

rewrite177.0ms (3.1%)

Memory

4.7MiB live, 243.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	119
0	44	101
1	172	99
2	1113	99
0	8475	99

Stop Event

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

Counts

17 → 707

Calls

Call 1

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

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

eval161.0ms (2.8%)

Memory: -40.2MiB live, 130.0MiB allocated
Compiler: Compiled 25 686 to 2 572 computations (90% saved)

prune35.0ms (0.6%)

Memory

-4.1MiB live, 40.8MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	766	7	773
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	770	11	781

Accuracy

100.0%

Counts

781 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
▶	99.2%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	99.8%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
▶	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.7%	(log1p.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))))
	97.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	95.8%	#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))
▶	93.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
▶	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (neg.f64 N)) (.f64 N N)))
✓	86.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.8%	#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)))

Compiler

Compiled 262 to 210 computations (19.8% saved)

simplify113.0ms (2%)

Memory

3.8MiB live, 102.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	159
0	52	151
1	77	151
2	139	143
3	343	137
4	770	137
5	3306	137
6	4526	136
7	6264	136
0	8020	132

Stop Event

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

Calls

Call 1

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

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

localize172.0ms (3%)

Memory

12.7MiB live, 154.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 N #s(literal -1/2 binary64))
accuracy	0.08984375	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy	0.5176163086106522	(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.0	(*.f64 N N)
accuracy	0.08984375	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
accuracy	0.10546875	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
accuracy	0.19921875	(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
accuracy	0.27181625976844204	(/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (neg.f64 N)) (.f64 N N))
accuracy	0.3125	(/.f64 #s(literal 1/3 binary64) N)
accuracy	2.63564584103681	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (neg.f64 N)) (.f64 N N)))
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) N)
accuracy	0.0	(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
accuracy	0.0625	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
accuracy	3.9615144626091605	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
accuracy	0.0	(/.f64 #s(literal 1 binary64) N)
accuracy	0.08984375	(log1p.f64 (/.f64 #s(literal 1 binary64) N))

Samples

141.0ms	212×	1	valid
11.0ms	44×	0	valid

Compiler

Compiled 142 to 30 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-sub: 33.0ms (26% of total)

ival-pow: 18.0ms (14.2% of total)

ival-log1p: 17.0ms (13.4% of total)

ival-div: 13.0ms (10.2% of total)

ival-neg: 13.0ms (10.2% of total)

adjust: 12.0ms (9.4% of total)

ival-log: 6.0ms (4.7% of total)

ival-pow2: 5.0ms (3.9% of total)

const: 4.0ms (3.1% of total)

ival-mult: 4.0ms (3.1% of total)

exact: 1.0ms (0.8% of total)

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

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

series15.0ms (0.3%)

Memory

-22.3MiB live, 20.8MiB allocated

Counts

17 → 44

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

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

4.0ms

-inf

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

3.0ms

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

simplify127.0ms (2.2%)

Memory

41.8MiB live, 129.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	402
1	386	367
2	1104	355
3	4050	349
0	8434	336

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

Calls

Call 1

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

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

rewrite184.0ms (3.2%)

Memory

-36.6MiB live, 158.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	129
0	52	119
1	183	119
2	1161	119
0	8294	117

Stop Event

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

Counts

17 → 365

Calls

Call 1

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

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

eval60.0ms (1%)

Memory: 21.7MiB live, 80.1MiB allocated
Compiler: Compiled 8 641 to 1 289 computations (85.1% saved)

prune14.0ms (0.3%)

Memory

-14.1MiB live, 29.3MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	302	7	309
Fresh	1	3	4
Picked	1	4	5
Done	0	2	2
Total	304	16	320

Accuracy

100.0%

Counts

320 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64)))
✓	99.2%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	99.8%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
	99.2%	(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	99.7%	(log1p.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))))
▶	97.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	95.8%	#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))
✓	93.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
▶	93.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N)))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) N) (neg N)) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) N #s(literal -1/2 binary64))) (*.f64 N N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) N) (neg N)) (-.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/3 binary64) N))) (*.f64 N N)))
▶	93.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) N) (neg N)) (-.f64 N #s(literal 1/2 binary64))) (*.f64 N N)))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) N) (neg N)) (.f64 (neg.f64 N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)))) (.f64 N N)))
✓	86.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	95.8%	#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)))

Compiler

Compiled 507 to 383 computations (24.5% saved)

simplify111.0ms (1.9%)

Memory

2.9MiB live, 150.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	318
0	75	315
1	114	300
2	270	282
3	1691	273
4	4749	269
0	8295	261

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (3%)

Memory

-9.0MiB live, 274.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.046875	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
accuracy	0.1328125	(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.296875	(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	1.831677713176832	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
accuracy	0.08203125	(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
accuracy	0.23828125	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
accuracy	0.3125	(/.f64 #s(literal 1/3 binary64) N)
accuracy	2.63564584103681	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
accuracy	0.109375	(-.f64 (.f64 #s(literal 1/2 binary64) N) (.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)))
accuracy	0.2890625	(.f64 (.f64 (neg.f64 N) N) N)
accuracy	0.33203125	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N))
accuracy	3.9615144626091605	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N)))
accuracy	0.0	(*.f64 N N)
accuracy	0.27181625976844204	(/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) N) (neg N)) (-.f64 N #s(literal 1/2 binary64))) (*.f64 N N))
accuracy	2.63564584103681	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) N) (neg N)) (-.f64 N #s(literal 1/2 binary64))) (*.f64 N N)))
accuracy	3.9901269525926777	#s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) N) (neg N)) (-.f64 N #s(literal 1/2 binary64)))
accuracy	0.0	(pow.f64 N #s(literal -2 binary64))
accuracy	0.08984375	(log1p.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))))
accuracy	0.1171875	(sqrt.f64 (pow.f64 N #s(literal -2 binary64)))

Samples

130.0ms	212×	1	valid
13.0ms	44×	0	valid

Compiler

Compiled 245 to 39 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-div: 26.0ms (23% of total)

adjust: 16.0ms (14.2% of total)

ival-sub: 15.0ms (13.3% of total)

ival-mult: 14.0ms (12.4% of total)

ival-log1p: 11.0ms (9.7% of total)

ival-pow: 10.0ms (8.8% of total)

const: 7.0ms (6.2% of total)

ival-log: 6.0ms (5.3% of total)

ival-sqrt: 3.0ms (2.7% of total)

ival-add: 3.0ms (2.7% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series9.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

24 → 70

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

3.0ms

-inf

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

2.0ms

inf

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

simplify159.0ms (2.8%)

Memory

-6.0MiB live, 138.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	575
1	409	555
2	1096	515
3	4027	514
0	8451	500

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 69

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

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

rewrite160.0ms (2.8%)

Memory

7.3MiB live, 100.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	273
0	75	260
1	280	245
2	2060	242
0	8410	236

Stop Event

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

Counts

24 → 549

Calls

Call 1

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

Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 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 (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 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) N)))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #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 (sqrt.f64 (neg.f64 (/.f64 #s(literal -1 binary64) N))) (sqrt.f64 (neg.f64 (/.f64 #s(literal -1 binary64) N))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) N)) (sqrt.f64 (/.f64 #s(literal -1 binary64) N)))
(*.f64 (pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) 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 (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 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))) (sqrt.f64 (neg.f64 N)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) (sqrt.f64 N))
(/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 N)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 N) N)))
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) N)) (sqrt.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)
(sqrt.f64 (pow.f64 N #s(literal -2 binary64)))
(fabs.f64 (neg.f64 (/.f64 #s(literal -1 binary64) N)))
(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)))
(*.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) N))) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) N))))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (neg.f64 N)) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)))
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(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))

eval155.0ms (2.7%)

Memory: -30.0MiB live, 69.7MiB allocated
Compiler: Compiled 16 014 to 2 603 computations (83.7% saved)

prune22.0ms (0.4%)

Memory

32.6MiB live, 32.6MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	566	10	576
Fresh	3	2	5
Picked	2	3	5
Done	1	5	6
Total	572	20	592

Accuracy

100.0%

Counts

592 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64)))
✓	99.2%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.2%	(log1p.f64 (*.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal -1 binary64) N))) (sqrt.f64 (neg.f64 (/.f64 #s(literal -1 binary64) N)))))
✓	99.7%	(log1p.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))))
	99.7%	(log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
	93.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N #s(literal 1/2 binary64) (.f64 (neg.f64 N) N)) (.f64 (*.f64 (neg.f64 N) N) N)))
✓	97.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	95.8%	#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))
✓	93.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
	96.8%	#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 (neg.f64 N) N)))
	96.8%	#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)) (neg.f64 (neg.f64 N))) (.f64 (neg.f64 N) N)) (.f64 (.f64 N N) (neg.f64 (neg.f64 N)))))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (.f64 N N)))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) N) (neg N)) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) N #s(literal -1/2 binary64))) (*.f64 N N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) N) (neg N)) (-.f64 (-.f64 N (/.f64 #s(literal -1/3 binary64) N)) #s(literal 1/2 binary64))) (*.f64 N N)))
✓	93.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) N) (neg N)) (-.f64 N #s(literal 1/2 binary64))) (*.f64 N N)))
	93.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1/2 N) (* (* (neg N) N) -1)) (.f64 (-.f64 #s(literal 1/2 binary64) N) N)) (.f64 (*.f64 (neg.f64 N) N) N)))
✓	86.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	97.0%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	95.8%	#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)))

Compiler

Compiled 990 to 454 computations (54.1% saved)

regimes15.0ms (0.3%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.9%	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)

regimes44.0ms (0.8%)

Memory

-40.0MiB live, 7.5MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
97.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.1%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

15 → 1

Calls

Call 1

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

4.0ms	N
3.0ms	(-.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)

regimes5.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) N) (neg N)) (-.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/3 binary64) N))) (*.f64 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
95.6%	1	`N`
95.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) N) (neg N)) (-.f64 N #s(literal 1/2 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1/2 N) (* (* (neg N) N) -1)) (.f64 (-.f64 #s(literal 1/2 binary64) N) N)) (.f64 (*.f64 (neg.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
93.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
93.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.5%	1	`N`
93.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
86.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
86.4%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify50.0ms (0.9%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	49	132
1	69	132
2	88	128
3	102	124
4	122	124
5	176	124
6	395	124
7	3406	122
8	7287	122

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

soundness985.0ms (17.3%)

Memory

-15.5MiB live, 174.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	402
1	386	367
2	1104	355
3	4050	349
0	8434	336
0	6	16
0	10	15
1	41	15
2	254	15
3	2342	15
0	8419	11
0	88	259
1	254	233
2	628	233
3	1724	230
4	5376	227
0	8294	221
0	27	119
0	44	101
1	172	99
2	1113	99
0	8475	99

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

Compiler

Compiled 199 to 108 computations (45.7% saved)

preprocess78.0ms (1.4%)

Memory: 18.4MiB live, 63.8MiB allocated
Compiler: Compiled 332 to 152 computations (54.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (27.9%)

explain157.0ms (2.8%)

preprocess12.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize45.0ms (0.8%)

series72.0ms (1.3%)

simplify123.0ms (2.1%)

rewrite158.0ms (2.8%)

eval57.0ms (1%)

prune7.0ms (0.1%)

simplify112.0ms (2%)

localize112.0ms (2%)

series56.0ms (1%)

simplify158.0ms (2.8%)

rewrite177.0ms (3.1%)

eval161.0ms (2.8%)

prune35.0ms (0.6%)

simplify113.0ms (2%)

localize172.0ms (3%)

series15.0ms (0.3%)

simplify127.0ms (2.2%)

rewrite184.0ms (3.2%)

eval60.0ms (1%)

prune14.0ms (0.3%)

simplify111.0ms (1.9%)

localize174.0ms (3%)

series9.0ms (0.2%)

simplify159.0ms (2.8%)

rewrite160.0ms (2.8%)

eval155.0ms (2.7%)

prune22.0ms (0.4%)

regimes15.0ms (0.3%)

regimes44.0ms (0.8%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify50.0ms (0.9%)

soundness985.0ms (17.3%)

preprocess78.0ms (1.4%)

end0.0ms (0%)

Profiling