Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.2s (35.9%)

Memory

-255.0MiB live, 2 350.2MiB allocated

Samples

1.9s	7 341×	1	valid
54.0ms	915×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-log: 698.0ms (45.1% of total)

ival-log1p: 356.0ms (23% of total)

ival-sub: 237.0ms (15.3% of total)

adjust: 193.0ms (12.5% of total)

ival->: 23.0ms (1.5% of total)

ival-<: 16.0ms (1% of total)

ival-and: 12.0ms (0.8% of total)

exact: 10.0ms (0.6% of total)

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

Bogosity

explain144.0ms (2.3%)

Memory

-20.2MiB live, 215.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	247	0
-	0	9

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	247	0	0
-	0	0	9

Precision?

1.0

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

78.0ms	448×	1	valid
4.0ms	64×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-log: 15.0ms (29.2% of total)

ival-log1p: 15.0ms (29.2% of total)

adjust: 13.0ms (25.3% of total)

ival-sub: 5.0ms (9.7% of total)

ival-add: 3.0ms (5.8% 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

23.7MiB live, 23.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.7%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (0.8%)

Memory

10.7MiB live, 55.0MiB allocated

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	50.12884491157038	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

39.0ms	224×	1	valid
2.0ms	32×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-log1p: 8.0ms (31.3% of total)

ival-log: 7.0ms (27.4% of total)

adjust: 6.0ms (23.5% of total)

ival-sub: 3.0ms (11.7% of total)

ival-add: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (1.1%)

Memory

-33.1MiB live, 75.1MiB allocated

Counts

4 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
33.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
31.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
6.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify134.0ms (2.2%)

Memory

2.6MiB live, 236.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

rewrite164.0ms (2.6%)

Memory

-2.8MiB live, 229.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 238

Calls

Call 1

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

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

eval38.0ms (0.6%)

Memory: 21.9MiB live, 64.2MiB allocated
Compiler: Compiled 6 119 to 1 019 computations (83.3% saved)

prune10.0ms (0.2%)

Memory

25.0MiB live, 25.0MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	251	10	261
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	252	10	262

Accuracy

100.0%

Counts

262 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.8%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) N))))
	21.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
▶	99.7%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
	99.7%	(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
▶	99.9%	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
▶	24.8%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	96.0%	#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))
▶	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
▶	85.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 306 to 208 computations (32% saved)

simplify21.0ms (0.3%)

Memory

-45.8MiB live, 13.2MiB allocated

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)

localize215.0ms (3.5%)

Memory

-7.3MiB live, 229.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
accuracy	0.05078125	(-.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	0.12337875976844201	(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))
accuracy	0.12890625	(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	48.197513535427625	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
accuracy	0.05859375	(/.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	0.359375	(/.f64 #s(literal 1/3 binary64) N)
accuracy	3.249407448887172	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
accuracy	0.0	(/.f64 #s(literal 1 binary64) N)
accuracy	9.033064356359796	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.0	(pow.f64 N #s(literal -1 binary64))
accuracy	0.09375	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))

Samples

185.0ms	224×	1	valid
8.0ms	32×	0	valid

Compiler

Compiled 140 to 29 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

adjust: 54.0ms (32.3% of total)

ival-log1p: 48.0ms (28.7% of total)

ival-pow: 22.0ms (13.2% of total)

ival-log: 18.0ms (10.8% of total)

ival-div: 10.0ms (6% of total)

ival-sub: 9.0ms (5.4% of total)

const: 4.0ms (2.4% of total)

ival-add: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series38.0ms (0.6%)

Memory

-35.3MiB live, 12.1MiB allocated

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
30.0ms	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

30.0ms

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)))

simplify194.0ms (3.1%)

Memory

43.0MiB live, 182.0MiB allocated

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))

rewrite216.0ms (3.5%)

Memory

-5.4MiB live, 222.9MiB allocated

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))))

eval96.0ms (1.6%)

Memory: 14.5MiB live, 105.5MiB allocated
Compiler: Compiled 14 172 to 2 280 computations (83.9% saved)

prune18.0ms (0.3%)

Memory

-26.9MiB live, 33.5MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	529	10	539
Fresh	4	1	5
Picked	3	2	5
Done	0	0	0
Total	536	13	549

Accuracy

100.0%

Counts

549 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N))))
	99.2%	(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)))
▶	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.7%	(log1p.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)))
	96.0%	#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))
✓	94.9%	#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))
▶	94.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N)))
▶	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
✓	85.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	94.8%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	95.9%	#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 420 to 316 computations (24.8% saved)

simplify99.0ms (1.6%)

Memory

5.5MiB live, 94.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 N N)
cost-diff	0	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
cost-diff	0	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
cost-diff	2	(.f64 (.f64 (neg.f64 N) N) N)
cost-diff	2	(-.f64 (.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)))
cost-diff	3	(.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))
cost-diff	4	(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
cost-diff	0	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
cost-diff	2	(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
cost-diff	0	(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
cost-diff	0	#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
cost-diff	0	(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) 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	40	268
0	64	253
1	96	242
2	245	240
3	1592	232
4	5211	232
0	8086	226

Stop Event

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

Calls

Call 1

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

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

localize221.0ms (3.6%)

Memory

-8.7MiB live, 143.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 N N)
accuracy	0.09375	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
accuracy	0.13671875	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
accuracy	0.25	(.f64 (.f64 (neg.f64 N) N) N)
accuracy	0.3515625	(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N))
accuracy	0.359375	(/.f64 #s(literal 1/3 binary64) N)
accuracy	3.249407448887172	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 N) N) N)))
accuracy	0.09375	(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
accuracy	0.2421875	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
accuracy	0.359375	(/.f64 #s(literal 1/3 binary64) N)
accuracy	3.249407448887172	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
accuracy	0.0	(-.f64 N #s(literal 1/2 binary64))
accuracy	0.05859375	(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)
accuracy	3.249407448887172	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
accuracy	4.864214118431712	#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
accuracy	0.0	(/.f64 #s(literal 1 binary64) N)
accuracy	0.09375	(log1p.f64 (/.f64 #s(literal 1 binary64) N))

Samples

160.0ms	224×	1	valid
8.0ms	32×	0	valid

Compiler

Compiled 207 to 34 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

adjust: 20.0ms (18.4% of total)

ival-mult: 20.0ms (18.4% of total)

ival-div: 18.0ms (16.6% of total)

ival-log1p: 15.0ms (13.8% of total)

ival-pow: 12.0ms (11.1% of total)

ival-sub: 9.0ms (8.3% of total)

ival-log: 7.0ms (6.5% of total)

const: 4.0ms (3.7% of total)

ival-neg: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series9.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

20 → 49

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

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

2.0ms

inf

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

simplify127.0ms (2%)

Memory

-1.0MiB live, 86.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	381
1	320	365
2	845	348
3	2830	343
4	7546	339
0	8203	330

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

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

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

rewrite181.0ms (2.9%)

Memory

3.4MiB live, 185.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	218
0	64	188
1	234	171
2	1714	170
0	9065	170

Stop Event

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

Counts

20 → 1 136

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

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

eval133.0ms (2.1%)

Memory: -25.2MiB live, 165.2MiB allocated
Compiler: Compiled 21 397 to 2 637 computations (87.7% saved)

prune25.0ms (0.4%)

Memory

23.1MiB live, 83.9MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	705	9	714
Fresh	3	3	6
Picked	2	3	5
Done	0	2	2
Total	710	17	727

Accuracy

100.0%

Counts

727 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
	99.4%	(log1p.f64 (/.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64))))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	99.7%	(log1p.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))))
	94.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (/.f64 (.f64 N N) N)) (.f64 N N)))
	96.0%	#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))
✓	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N))
✓	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
▶	94.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (.f64 (*.f64 (neg.f64 N) N) N)))
	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (.f64 (-.f64 #s(literal 1/2 binary64) N) N)) (.f64 (*.f64 (neg.f64 N) N) N)))
▶	85.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (.f64 (neg.f64 N) N)) (.f64 (*.f64 (neg.f64 N) N) N)))
✓	85.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	94.8%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
	92.5%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)) (/.f64 #s(literal -1 binary64) N)))
	95.9%	#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 669 to 492 computations (26.5% saved)

simplify119.0ms (1.9%)

Memory

-12.2MiB live, 79.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	396
0	74	396
1	113	366
2	240	346
3	690	346
4	2943	346
5	7875	346
0	8332	338

Stop Event

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

Calls

Call 1

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

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

localize205.0ms (3.3%)

Memory

3.0MiB live, 240.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.09375	(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))
accuracy	0.27734375	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N))
accuracy	0.359375	(/.f64 #s(literal 1/3 binary64) N)
accuracy	3.249407448887172	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
accuracy	0.05859375	(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)
accuracy	0.15691376953688402	(/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) N) N))
accuracy	3.249407448887172	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N))
accuracy	4.864214118431712	#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) N) N)))
accuracy	0.0390625	(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))
accuracy	0.25	(.f64 (.f64 (neg.f64 N) N) N)
accuracy	0.3515625	(/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (.f64 (*.f64 (neg.f64 N) N) N))
accuracy	3.249407448887172	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (.f64 (*.f64 (neg.f64 N) N) N)))
accuracy	0.25	(.f64 (.f64 (neg.f64 N) N) N)
accuracy	0.3515625	(/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (.f64 (neg.f64 N) N)) (.f64 (*.f64 (neg.f64 N) N) N))
accuracy	3.249407448887172	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (.f64 (neg.f64 N) N)) (.f64 (*.f64 (neg.f64 N) N) N)))
accuracy	9.056672330916562	#s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N))
accuracy	0.0	(pow.f64 N #s(literal -2 binary64))
accuracy	0.09375	(log1p.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))))
accuracy	0.1328125	(sqrt.f64 (pow.f64 N #s(literal -2 binary64)))

Samples

135.0ms	224×	1	valid
8.0ms	32×	0	valid

Compiler

Compiled 253 to 38 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

adjust: 29.0ms (26.2% of total)

ival-mult: 17.0ms (15.3% of total)

ival-div: 16.0ms (14.4% of total)

ival-sub: 14.0ms (12.6% of total)

ival-log1p: 11.0ms (9.9% of total)

ival-pow: 7.0ms (6.3% of total)

ival-log: 6.0ms (5.4% of total)

const: 4.0ms (3.6% of total)

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

ival-neg: 2.0ms (1.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

20 → 45

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

simplify107.0ms (1.7%)

Memory

-3.1MiB live, 92.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	369
1	317	347
2	841	336
3	2904	331
4	7625	331
0	8248	322

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

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

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

rewrite195.0ms (3.2%)

Memory

-5.5MiB live, 140.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	335
0	74	329
1	270	297
2	1878	292
0	8695	288

Stop Event

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

Counts

20 → 447

Calls

Call 1

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

eval66.0ms (1.1%)

Memory: 12.9MiB live, 101.1MiB allocated
Compiler: Compiled 16 780 to 2 188 computations (87% saved)

prune22.0ms (0.3%)

Memory

6.6MiB live, 50.6MiB allocated

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	517	4	521
Fresh	2	5	7
Picked	1	4	5
Done	0	5	5
Total	520	18	538

Accuracy

100.0%

Counts

538 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
	99.5%	(log1p.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) (sqrt.f64 N)))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.7%	(log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
	94.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (/.f64 (.f64 N N) N)) (.f64 N N)))
	94.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (neg.f64 N)) (.f64 N N)))
	96.0%	#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))
✓	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N))
✓	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
✓	94.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (.f64 (*.f64 (neg.f64 N) N) N)))
	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (.f64 (-.f64 #s(literal 1/2 binary64) N) N)) (.f64 (*.f64 (neg.f64 N) N) N)))
✓	85.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (.f64 (neg.f64 N) N)) (.f64 (*.f64 (neg.f64 N) N) N)))
✓	85.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	94.8%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
	92.5%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
	95.9%	#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 1 066 to 486 computations (54.4% saved)

regimes19.0ms (0.3%)

Memory

-36.1MiB live, 22.0MiB allocated

Counts

34 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
8.0ms	N

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
96.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	N
3.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory

-26.6MiB live, 19.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

regimes5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
94.4%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) 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
92.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
85.9%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify67.0ms (1.1%)

Memory

-5.5MiB live, 84.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	61	153
1	99	150
2	167	148
3	306	148
4	561	148
5	1174	148
6	3246	147
7	4156	147
8	5236	147
9	6012	146
10	6972	145

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations865.0ms (14%)

Memory

-14.1MiB live, 513.0MiB allocated

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
0	111	381
1	320	365
2	845	348
3	2830	343
4	7546	339
0	8203	330
0	181	608
1	535	588
2	1676	565
3	6963	565
0	8327	546
0	6	16
0	10	15
1	41	15
2	254	15
3	2342	15
0	8419	11
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×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 153 to 64 computations (58.2% saved)

preprocess46.0ms (0.7%)

Memory: 35.6MiB live, 79.8MiB allocated
Compiler: Compiled 374 to 178 computations (52.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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%)

sample2.2s (35.9%)

explain144.0ms (2.3%)

preprocess12.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize49.0ms (0.8%)

series70.0ms (1.1%)

simplify134.0ms (2.2%)

rewrite164.0ms (2.6%)

eval38.0ms (0.6%)

prune10.0ms (0.2%)

simplify21.0ms (0.3%)

localize215.0ms (3.5%)

series38.0ms (0.6%)

simplify194.0ms (3.1%)

rewrite216.0ms (3.5%)

eval96.0ms (1.6%)

prune18.0ms (0.3%)

simplify99.0ms (1.6%)

localize221.0ms (3.6%)

series9.0ms (0.1%)

simplify127.0ms (2%)

rewrite181.0ms (2.9%)

eval133.0ms (2.1%)

prune25.0ms (0.4%)

simplify119.0ms (1.9%)

localize205.0ms (3.3%)

series7.0ms (0.1%)

simplify107.0ms (1.7%)

rewrite195.0ms (3.2%)

eval66.0ms (1.1%)

prune22.0ms (0.3%)

regimes19.0ms (0.3%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

simplify67.0ms (1.1%)

derivations865.0ms (14%)

preprocess46.0ms (0.7%)

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