Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.4s (34.8%)

Memory

-218.4MiB live, 2 426.0MiB allocated; 1.4s collecting garbage

Samples

1.9s	7 293×	1	valid
73.0ms	963×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

adjust: 664.0ms (38.8% of total)

ival-log1p: 501.0ms (29.3% of total)

ival-log: 237.0ms (13.9% of total)

ival-sub: 217.0ms (12.7% of total)

ival-<: 34.0ms (2% of total)

ival->: 32.0ms (1.9% of total)

ival-and: 12.0ms (0.7% of total)

exact: 11.0ms (0.6% of total)

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

Bogosity

explain135.0ms (2%)

Memory

0.7MiB live, 147.0MiB allocated; 28ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
247	1	(30.971655906194584)	1	(18.678933177596882)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	0	-	`N`
0	0	-	0	-	`(log.f64 N)`
0	0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	246	1
-	1	8

Precision

0.9959514170040485

Recall

0.9959514170040485

Confusion?

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

Precision?

0.9959677419354839

Recall?

1.0

Freqs

test

number	freq
0	9
1	247

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms	440×	1	valid
4.0ms	72×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

adjust: 18.0ms (32.2% of total)

ival-log: 15.0ms (26.8% of total)

ival-log1p: 15.0ms (26.8% of total)

ival-sub: 5.0ms (8.9% of total)

ival-add: 3.0ms (5.4% 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

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.9%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

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)

localize89.0ms (1.3%)

Memory

-33.9MiB live, 56.8MiB allocated; 15ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(log.f64 N)
accuracy	0.00390625	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	47.42711324564804	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

39.0ms	220×	1	valid
2.0ms	36×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

adjust: 12.0ms (38.5% of total)

ival-log1p: 8.0ms (25.7% of total)

ival-log: 6.0ms (19.3% of total)

ival-sub: 3.0ms (9.6% of total)

ival-add: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (1.1%)

Memory

4.6MiB live, 103.1MiB allocated; 13ms collecting garbage

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
44.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
21.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
7.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify179.0ms (2.6%)

Memory

-4.0MiB live, 190.7MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	259
1	254	233
2	628	233
3	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)

rewrite152.0ms (2.2%)

Memory

20.8MiB live, 205.9MiB allocated; 31ms collecting garbage

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

eval35.0ms (0.5%)

Memory: 21.5MiB live, 66.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 119 to 1 019 computations (83.3% saved)

prune23.0ms (0.3%)

Memory

-23.4MiB live, 21.4MiB allocated; 9ms collecting garbage

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

99.9%

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)))))
	28.6%	(-.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)))))
▶	99.8%	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
▶	28.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	95.0%	#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))
▶	93.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	90.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
▶	82.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 208 to 170 computations (18.3% saved)

simplify14.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))
cost-diff	0	(pow.f64 N #s(literal -3 binary64))
cost-diff	0	(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
cost-diff	0	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
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	30	144
0	50	142
1	67	142
2	79	142
3	95	142
4	132	142
5	208	142
6	305	142
7	398	142
8	439	142
9	453	142
10	453	142
0	453	138

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(pow.f64 N #s(literal -3 binary64))
N
#s(literal -3 binary64)
(log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))
(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -2 binary64))
#s(literal -2 binary64)
(pow.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)

localize177.0ms (2.6%)

Memory

-28.8MiB live, 264.0MiB allocated; 31ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.03125	(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
accuracy	0.06640625	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
accuracy	0.10222626953688403	(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))
accuracy	0.125	(log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))
accuracy	0.0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.0078125	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
accuracy	46.049108956157156	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
accuracy	0.046875	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
accuracy	0.05859375	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
accuracy	0.35546875	(/.f64 #s(literal 1/3 binary64) N)
accuracy	4.2318058073474045	#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	10.984057556631262	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.0	(pow.f64 N #s(literal -1 binary64))
accuracy	0.125	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))

Samples

137.0ms	220×	1	valid
19.0ms	36×	0	valid

Compiler

Compiled 140 to 29 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-pow: 27.0ms (22.6% of total)

adjust: 26.0ms (21.7% of total)

ival-log1p: 21.0ms (17.6% of total)

ival-log: 19.0ms (15.9% of total)

ival-div: 10.0ms (8.4% of total)

ival-sub: 9.0ms (7.5% of total)

const: 4.0ms (3.3% of total)

ival-add: 2.0ms (1.7% of total)

exact: 1.0ms (0.8% of total)

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

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

series12.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Counts

17 → 63

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

4.0ms

-inf

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

4.0ms

inf

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

3.0ms

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

simplify221.0ms (3.2%)

Memory

6.1MiB live, 197.3MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	608
1	535	588
2	1676	565
3	6963	565
0	8327	546

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

Calls

Call 1

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

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

rewrite208.0ms (3%)

Memory

-10.3MiB live, 325.8MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	119
0	50	106
1	216	102
2	1496	102
0	8331	100

Stop Event

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

Counts

17 → 581

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

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

eval124.0ms (1.8%)

Memory: -3.6MiB live, 179.9MiB allocated; 21ms collecting garbage
Compiler: Compiled 14 172 to 2 280 computations (83.9% saved)

prune22.0ms (0.3%)

Memory

32.7MiB live, 77.0MiB allocated; 4ms collecting garbage

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	526	13	539
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	528	19	547

Accuracy

100.0%

Counts

547 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (-.f64 (log1p.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 2 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))))
	99.2%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) N))))
	99.4%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) (.f64 N N)) (.f64 (.f64 N N) (neg.f64 (neg.f64 N))))))
	99.7%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N))))
	99.7%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (neg.f64 N)))))
	94.9%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)))
▶	28.6%	(-.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)))))
▶	99.2%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
▶	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.7%	(log1p.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))))
✓	28.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
▶	95.0%	#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))
✓	93.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	90.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
	93.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (.f64 N (neg.f64 N))))
✓	82.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	93.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	94.9%	#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N))

Compiler

Compiled 616 to 461 computations (25.2% saved)

simplify99.0ms (1.4%)

Memory

-12.5MiB live, 77.9MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))
cost-diff	0	(log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))
cost-diff	0	(-.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)))))
cost-diff	2	(log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
cost-diff	0	(pow.f64 N #s(literal -1/2 binary64))
cost-diff	0	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff	2	(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 (+.f64 (/.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 #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	37	195
0	61	191
1	82	191
2	105	191
3	164	191
4	309	191
5	631	191
6	1172	191
7	1728	191
8	2078	191
9	2293	191
10	2455	191
11	2582	191
12	2762	191
13	2894	191
14	2991	191
15	3034	191
16	3092	191
17	3131	191
18	3162	191
19	3171	191
0	3171	183

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize302.0ms (4.4%)

Memory

-50.2MiB live, 326.9MiB allocated; 59ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))
accuracy	0.1171875	(-.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)))))
accuracy	45.596480046142226	(log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
accuracy	52.28165402565275	(log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))
accuracy	0.0	(pow.f64 N #s(literal -1/2 binary64))
accuracy	0.125	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy	0.4655075195368841	(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.0859375	(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
accuracy	0.15234375	(+.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	3.1705532198178283	#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	0.0	(/.f64 #s(literal -1/2 binary64) N)
accuracy	0.0078125	(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
accuracy	0.08203125	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
accuracy	6.23379926926574	#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	0.125	(log1p.f64 (/.f64 #s(literal 1 binary64) N))

Samples

267.0ms	231×	1	valid
7.0ms	25×	0	valid

Compiler

Compiled 177 to 36 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-log: 50.0ms (24.6% of total)

adjust: 38.0ms (18.7% of total)

ival-sub: 38.0ms (18.7% of total)

ival-pow: 22.0ms (10.8% of total)

ival-div: 19.0ms (9.3% of total)

ival-log1p: 15.0ms (7.4% of total)

const: 12.0ms (5.9% of total)

ival-pow2: 5.0ms (2.5% of total)

ival-add: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series11.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

20 → 77

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)
#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)
(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))
(log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -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 binary64) (pow.f64 N #s(literal -1 binary64)))

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

Calls

3 calls:

Time

Variable

Point

Expression

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

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

2.0ms

inf

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

simplify127.0ms (1.9%)

Memory

-13.9MiB live, 82.6MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	801
1	665	739
2	2095	714
0	8365	691

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 77

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

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

rewrite168.0ms (2.4%)

Memory

4.4MiB live, 139.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	160
0	61	145
1	234	145
2	1506	145
0	8699	143

Stop Event

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

Counts

20 → 449

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)
#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)
(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))
(log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -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 binary64) (pow.f64 N #s(literal -1 binary64)))

Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))) (fma.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))) (.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 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 (neg.f64 (neg.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))) (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)))) (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)))) (.f64 (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)))) (.f64 (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64))))) (neg.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 2 binary64)))))
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eval74.0ms (1.1%)

Memory: -8.4MiB live, 87.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 13 795 to 2 150 computations (84.4% saved)

prune46.0ms (0.7%)

Memory

-0.6MiB live, 46.0MiB allocated; 4ms collecting garbage

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	409	11	420
Fresh	4	7	11
Picked	1	4	5
Done	0	3	3
Total	414	25	439

Accuracy

100.0%

Counts

439 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) N))))
	99.4%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) (.f64 N N)) (.f64 (.f64 N N) (neg.f64 (neg.f64 N))))))
▶	94.9%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)))
	28.6%	(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 #s(approx (- 1 (pow N -1)) (/.f64 (-.f64 N #s(literal 1 binary64)) N))))
▶	99.8%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64)))
	98.6%	(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)))
	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.7%	(log1p.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))))
✓	28.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
✓	95.0%	#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))
✓	93.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	90.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
	94.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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) (neg.f64 N)) N) (.f64 N (neg.f64 N))))
	90.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) N) (neg.f64 N)) N) (.f64 N (neg.f64 N))))
	94.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64))) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N)))
✓	82.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	95.0%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
▶	94.9%	#s(approx (- (log (+ N 1)) (log 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) N) (/.f64 #s(literal -1 binary64) N)))
	93.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
▶	90.2%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
	94.7%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.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) N) (.f64 N N)) (/.f64 (.f64 N #s(literal -1 binary64)) (.f64 N N))))
	94.9%	#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N))

Compiler

Compiled 828 to 619 computations (25.2% saved)

simplify152.0ms (2.2%)

Memory

36.8MiB live, 79.9MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	389
0	87	385
1	118	385
2	163	383
3	326	383
4	740	383
5	1612	381
6	2284	381
7	2543	381
8	2750	381
9	2907	381
10	3031	381
11	3157	373
12	3313	373
13	3536	373
14	3723	373
15	3834	371
16	3974	371
17	4114	371
18	4151	371
19	4160	371
20	4166	371
21	4172	371
0	4172	361

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize335.0ms (4.9%)

Memory

14.8MiB live, 397.8MiB allocated; 44ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
accuracy	0.15234375	(+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
accuracy	0.34375	(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
accuracy	3.266621581786082	#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
accuracy	0.22265625	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) N)
accuracy	0.27734375	(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N)
accuracy	0.296875	(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
accuracy	3.1705532198178283	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
accuracy	0.15234375	(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
accuracy	0.29296875	(/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N)
accuracy	0.296875	(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
accuracy	3.1705532198178283	#s(approx (- (log (+ N 1)) (log 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) N) (/.f64 #s(literal -1 binary64) N)))
accuracy	0.0	(/.f64 #s(literal -1 binary64) N)
accuracy	0.08984375	(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N))
accuracy	0.265625	(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
accuracy	6.23379926926574	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
accuracy	0.00390625	(pow.f64 N #s(literal 4 binary64))
accuracy	0.0625	(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64))
accuracy	0.125	(log1p.f64 (pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64)))

Samples

279.0ms	220×	1	valid
13.0ms	36×	0	valid

Compiler

Compiled 317 to 51 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

ival-div: 72.0ms (28.8% of total)

ival-sub: 51.0ms (20.4% of total)

adjust: 43.0ms (17.2% of total)

ival-pow: 33.0ms (13.2% of total)

ival-log1p: 18.0ms (7.2% of total)

ival-add: 13.0ms (5.2% of total)

const: 13.0ms (5.2% of total)

ival-log: 6.0ms (2.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series94.0ms (1.4%)

Memory

-17.4MiB live, 87.7MiB allocated; 10ms collecting garbage

Counts

25 → 90

Calls

Call 1

Inputs
(log1p.f64 (pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 N #s(literal 4 binary64))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
(/.f64 #s(literal -1/2 binary64) 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) N) (/.f64 #s(literal -1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
(/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) 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)
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) N)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N)
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(pow.f64 N #s(literal -3 binary64))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(/.f64 #s(literal -1 binary64) N)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 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)
(pow N 4)
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/2 N)
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(- (* -3 (log N)) (* -2 (log N)))
(- (+ N (* -3 (log N))) (* -2 (log N)))
(- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N)))
(- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N)))
(* -3 (log N))
(+ (* -3 (log N)) (pow N 3))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))
(/ 1 (pow N 3))
(* -2 (log N))
(+ (* -2 (log N)) (* -1 N))
(+ (* -2 (log N)) (* N (- (* 1/2 N) 1)))
(+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1)))
(/ -1 N)
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* 2/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* 2/3 N)) N)
(/ 1/4 (pow N 3))
(/ (+ 1/4 (* 2/3 N)) (pow N 3))
(/ (+ 1/4 (* N (+ 2/3 (* 1/2 N)))) (pow N 3))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) (pow N 2))
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ 1/3 (pow N 3))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 3))
(/ 1/3 (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3))
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N)
(/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N)
(/ 1/3 N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(/ 2/3 N)
(/ (+ 2/3 (* 1/4 (/ 1 N))) N)
2/3
(+ 2/3 (* 1/4 (/ 1 N)))
(/ 1/2 N)
(/ (+ 1/2 (* 2/3 (/ 1 N))) N)
(/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) 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 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 3)))
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(* -1 (/ (- (* -1 (/ (+ 2/3 (* 1/4 (/ 1 N))) N)) 1/2) N))

Calls

3 calls:

Time

Variable

Point

Expression

45.0ms

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

32.0ms

inf

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

16.0ms

-inf

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

simplify160.0ms (2.3%)

Memory

-8.4MiB live, 132.2MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	867
1	697	828
2	2184	796
3	7339	796
0	8638	773

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 90

Calls

Call 1

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

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

rewrite164.0ms (2.4%)

Memory

-5.7MiB live, 129.2MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	282
0	87	259
1	386	257
2	3091	257
0	9104	248

Stop Event

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

Counts

25 → 494

Calls

Call 1

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

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

eval121.0ms (1.8%)

Memory: -8.5MiB live, 95.0MiB allocated; 17ms collecting garbage
Compiler: Compiled 17 816 to 2 591 computations (85.5% saved)

prune34.0ms (0.5%)

Memory

-8.7MiB live, 38.6MiB allocated; 1ms collecting garbage

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	548	10	558
Fresh	5	8	13
Picked	4	1	5
Done	0	7	7
Total	557	26	583

Accuracy

100.0%

Counts

583 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) N))))
	99.4%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) (.f64 N N)) (.f64 (.f64 N N) (neg.f64 (neg.f64 N))))))
✓	94.9%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)))
	28.6%	(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 #s(approx (- 1 (pow N -1)) (/.f64 (-.f64 N #s(literal 1 binary64)) N))))
	98.6%	(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)))
	99.7%	(log1p.f64 (pow.f64 (.f64 (.f64 N N) (*.f64 N N)) #s(literal -1/4 binary64)))
	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.7%	(log1p.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))))
✓	28.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
✓	95.0%	#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))
✓	93.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	94.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)) (.f64 N N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) (neg.f64 N)))
✓	90.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
	94.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64))) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N)))
✓	82.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
	94.7%	#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) N) (.f64 N N)) (/.f64 (.f64 #s(literal -1 binary64) N) (.f64 N N))))
	90.2%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
	93.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
	94.7%	#s(approx (log (+ 1 (pow (pow N 4) -1/4))) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
	93.1%	#s(approx (log (+ 1 (pow (pow N 4) -1/4))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
	94.9%	#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N))

Compiler

Compiled 1 332 to 626 computations (53% saved)

regimes19.0ms (0.3%)

Memory

27.5MiB live, 27.5MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

2 calls:

10.0ms	N
8.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes12.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Counts

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

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

Results

Accuracy	Segments	Branch
95.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.1%)

Memory

-34.4MiB live, 10.2MiB allocated; 4ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	N
3.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
94.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
94.9%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
94.7%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.3%	1	`N`
93.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs
#s(approx (log (+ 1 (pow (pow N 4) -1/4))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 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
93.1%	1	`N`
93.1%	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%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #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
90.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
90.2%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
82.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
82.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify16.0ms (0.2%)

Memory

-40.1MiB live, 12.8MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	139
1	76	139
2	89	139
3	98	139
4	100	139

Stop Event

1×

saturated

Calls

Call 1

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

derivations972.0ms (14.2%)

Memory

28.7MiB live, 602.1MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	867
1	697	828
2	2184	796
3	7339	796
0	8638	773
0	6	16
0	10	15
1	41	15
2	254	15
3	2342	15
0	8419	11
0	37	160
0	61	145
1	234	145
2	1506	145
0	8699	143
0	88	259
1	254	233
2	628	233
3	1724	230
4	5376	227
0	8294	221
0	181	608
1	535	588
2	1676	565
3	6963	565
0	8327	546
0	30	119
0	50	106
1	216	102
2	1496	102
0	8331	100

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

Compiler

Compiled 139 to 60 computations (56.8% saved)

preprocess64.0ms (0.9%)

Memory: -29.3MiB live, 63.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 346 to 170 computations (50.9% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	30	144
0	50	142
1	67	142
2	79	142
3	95	142
4	132	142
5	208	142
6	305	142
7	398	142
8	439	142
9	453	142
10	453	142
0	453	138

Iter	Nodes	Cost
0	30	144
0	50	142
1	67	142
2	79	142
3	95	142
4	132	142
5	208	142
6	305	142
7	398	142
8	439	142
9	453	142
10	453	142
0	453	138

start0.0ms (0%)

analyze0.0ms (0%)

sample2.4s (34.8%)

explain135.0ms (2%)

preprocess12.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize89.0ms (1.3%)

series72.0ms (1.1%)

simplify179.0ms (2.6%)

rewrite152.0ms (2.2%)

eval35.0ms (0.5%)

prune23.0ms (0.3%)

simplify14.0ms (0.2%)

localize177.0ms (2.6%)

series12.0ms (0.2%)

simplify221.0ms (3.2%)

rewrite208.0ms (3%)

eval124.0ms (1.8%)

prune22.0ms (0.3%)

simplify99.0ms (1.4%)

localize302.0ms (4.4%)

series11.0ms (0.2%)

simplify127.0ms (1.9%)

rewrite168.0ms (2.4%)

eval74.0ms (1.1%)

prune46.0ms (0.7%)

simplify152.0ms (2.2%)

localize335.0ms (4.9%)

series94.0ms (1.4%)

simplify160.0ms (2.3%)

rewrite164.0ms (2.4%)

eval121.0ms (1.8%)

prune34.0ms (0.5%)

regimes19.0ms (0.3%)

regimes12.0ms (0.2%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify16.0ms (0.2%)

derivations972.0ms (14.2%)

preprocess64.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	30	144
0	50	142
1	67	142
2	79	142
3	95	142
4	132	142
5	208	142
6	305	142
7	398	142
8	439	142
9	453	142
10	453	142
0	453	138