Metrics for 2log (problem 3.3.6)

analyze0.0ms (0%)

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)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

const: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

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

sample1.6s (11.7%)

Results

1.3s	7009×	1	valid
88.0ms	1247×	0	valid

Precisions

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

ival-log: 488.0ms (46.6% of total)

ival-add: 148.0ms (14.1% of total)

backward-pass: 124.0ms (11.8% of total)

ival-sub: 87.0ms (8.3% of total)

ival->: 86.0ms (8.2% of total)

ival-<: 78.0ms (7.5% of total)

ival-and: 19.0ms (1.8% of total)

const: 17.0ms (1.6% of total)

Bogosity

preprocess40.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

270×	`sum3-define`
244×	`fnmadd-define`
184×	`fmsub-define`
168×	`fnmsub-define`
168×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	25	20
2	54	19
3	101	19
4	192	19
5	390	19
6	582	19
7	758	19
8	850	19
9	956	19
10	1034	19
11	1040	19
0	6	7
1	11	5
2	16	5
3	23	5
4	33	5
5	65	5
6	123	5
7	210	5
8	295	5
9	401	5
10	479	5
11	485	5
0	485	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (log (+ N 1)) (log N))

Outputs
(- (log (+ N 1)) (log N))
(-.f64 (log1p.f64 N) (log.f64 N))

Call 2

Inputs
(- (log (+ N 1)) (log N))
(- (log (+ (neg N) 1)) (log (neg N)))
(neg (- (log (+ (neg N) 1)) (log (neg N))))

Outputs
(- (log (+ N 1)) (log N))
(- (log1p N) (log N))
(- (log (+ (neg N) 1)) (log (neg N)))
(- (log1p (neg N)) (log (neg N)))
(neg (- (log (+ (neg N) 1)) (log (neg N))))
(- (log (neg N)) (log1p (neg N)))

explain117.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
242	1	(45.258150238827)	2	(19.931445306273503)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	0	-	`(log.f64 N)`
0	0	-	0	-	`N`

Results

70.0ms	406×	1	valid
8.0ms	106×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-log: 27.0ms (53.7% of total)

ival-add: 8.0ms (15.9% of total)

backward-pass: 8.0ms (15.9% of total)

ival-sub: 6.0ms (11.9% of total)

const: 1.0ms (2% of total)

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.5%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	27.5%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(-.f64 (log1p.f64 N) (log.f64 N))
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	0	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	128	(log.f64 (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	128	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Rules

124×	`fnmadd-define`
122×	`sum3-define`
80×	`fma-lowering-fma.f32`
80×	`fnmsub-define`
80×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	15	24
2	19	24
3	26	24
4	36	24
5	68	24
6	126	24
7	213	24
8	298	24
9	404	24
10	482	24
11	488	24
0	488	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (log (+ N 1)) (log N))
(log (+ N 1))
(+ N 1)
N
1
(log N)
(- (log (+ 1 N)) (log N))
(log (+ 1 N))
N
(log N)

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

localize216.0ms (1.5%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	97.8%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log.f64 (+.f64 N #s(literal 1 binary64)))
✓	accuracy	97.8%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

193.0ms	211×	5	exit
5.0ms	45×	0	valid

Compiler

Compiled 30 to 9 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-log: 101.0ms (63.5% of total)

backward-pass: 26.0ms (16.3% of total)

compiled-spec: 14.0ms (8.8% of total)

ival-sub: 10.0ms (6.3% of total)

ival-add: 6.0ms (3.8% of total)

const: 1.0ms (0.6% of total)

series56.0ms (0.4%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (- (log (+ N 1)) (log N))>
#<alt (log (+ N 1))>
#<alt (+ N 1)>
#<alt (log N)>
#<alt (- (log (+ 1 N)) (log N))>
#<alt (log (+ 1 N))>

Outputs
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt N>
#<alt (* N (+ 1 (* -1/2 N)))>
#<alt (* N (+ 1 (* N (- (* 1/3 N) 1/2))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt N>
#<alt (* N (+ 1 (* -1/2 N)))>
#<alt (* N (+ 1 (* N (- (* 1/3 N) 1/2))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))>

Calls

18 calls:

Time	Variable		Point	Expression
25.0ms	N	@	0	(log N)
20.0ms	N	@	-inf	(log N)
8.0ms	N	@	inf	(log N)
0.0ms	N	@	-inf	(- (log (+ N 1)) (log N))
0.0ms	N	@	inf	(- (log (+ N 1)) (log N))

rewrite309.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2764×	`-lowering-.f32`
2764×	`-lowering-.f64`
1664×	`/-lowering-/.f32`
1664×	`/-lowering-/.f64`
1234×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	65	19
2	396	19
3	3862	19
0	8425	19

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 561

Calls

Call 1

Inputs
(- (log (+ N 1)) (log N))
(log (+ N 1))
(+ N 1)
(log N)
(- (log (+ 1 N)) (log N))
(log (+ 1 N))

Outputs
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(+.f64 (log1p.f64 N) (-.f64 #s(literal 0 binary64) (log.f64 N)))
(+.f64 (log1p.f64 N) (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N (+.f64 N #s(literal -1 binary64))))))
(+.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (log1p.f64 N))
(+.f64 (log1p.f64 (.f64 N (.f64 N N))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))) N)))
(+.f64 (log1p.f64 (.f64 N (.f64 N N))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64))))))))
(+.f64 (log1p.f64 (.f64 N (.f64 N N))) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) N))))
(+.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) N)))
(+.f64 (log.f64 (+.f64 (.f64 N N) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64))))))
(+.f64 (log.f64 (+.f64 (.f64 N N) #s(literal -1 binary64))) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) N))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) N)))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 N N))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) N)))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 N N))) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
(+.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) N)))
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) N)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))) #s(literal 1 binary64))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) #s(literal 1 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))) N)))
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (.f64 (.f64 N (.f64 N N)) (+.f64 (.f64 N (.f64 N N)) #s(literal -1 binary64))))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) (.f64 N (+.f64 N #s(literal -1 binary64)))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) N))))
(-.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 (.f64 N N) #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (-.f64 #s(literal 0 binary64) (log1p.f64 N)))
(-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) N))))
(-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (+.f64 (.f64 N N) #s(literal -1 binary64))) (log.f64 (.f64 N (+.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 N N))) (log.f64 (.f64 N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 N N))) (log.f64 (neg.f64 (.f64 N (+.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 N (.f64 N N))))) (log.f64 (neg.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64))))))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 N (.f64 N N))))) (log.f64 (.f64 N (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64))))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N)))) (log.f64 (.f64 N (+.f64 N #s(literal -1 binary64)))))
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(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 N N))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) N)) (log.f64 (-.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) N))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (.f64 N (.f64 N N)))) (.f64 (log1p.f64 (.f64 N (+.f64 N #s(literal -1 binary64)))) (log1p.f64 (.f64 N (+.f64 N #s(literal -1 binary64)))))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 N N) #s(literal -1 binary64))) (log.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)))) (.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))) (log.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)))) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) N)) (log.f64 (-.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) N))))
(log1p.f64 N)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 N)))

simplify193.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1988×	`--lowering--.f32`
1988×	`--lowering--.f64`
1932×	`fnmsub-define`
1584×	`+-lowering-+.f64`
1584×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	580
1	280	496
2	738	478
3	2059	472
4	6708	472
0	8337	472

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

Outputs
(* -1 (log N))
(-.f64 #s(literal 0 binary64) (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N #s(literal -1/2 binary64)))) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal -1/2 binary64) (*.f64 N #s(literal 1/3 binary64)))))) (log.f64 N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
N
(* N (+ 1 (* -1/2 N)))
(.f64 N (+.f64 #s(literal 1 binary64) (.f64 N #s(literal -1/2 binary64))))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal -1/2 binary64) (*.f64 N #s(literal 1/3 binary64))))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal -1/2 binary64) (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/4 binary64))))))))
(* -1 (log (/ 1 N)))
(log.f64 N)
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(+.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(+.f64 (log.f64 N) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(+.f64 (log.f64 N) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
(+ (log -1) (* -1 (log (/ -1 N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) 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 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) (log.f64 (/.f64 #s(literal -1 binary64) N))))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(+ (log -1) (* -1 (log (/ -1 N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(* -1 (log N))
(-.f64 #s(literal 0 binary64) (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N #s(literal -1/2 binary64)))) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal -1/2 binary64) (*.f64 N #s(literal 1/3 binary64)))))) (log.f64 N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
N
(* N (+ 1 (* -1/2 N)))
(.f64 N (+.f64 #s(literal 1 binary64) (.f64 N #s(literal -1/2 binary64))))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal -1/2 binary64) (*.f64 N #s(literal 1/3 binary64))))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal -1/2 binary64) (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/4 binary64))))))))
(* -1 (log (/ 1 N)))
(log.f64 N)
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(+.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(+.f64 (log.f64 N) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(+.f64 (log.f64 N) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
(+ (log -1) (* -1 (log (/ -1 N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) 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 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) (log.f64 (/.f64 #s(literal -1 binary64) N))))

eval121.0ms (0.9%)

Compiler: Compiled 15719 to 1232 computations (92.2% saved)

prune67.0ms (0.5%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	624	24	648
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	625	25	650

Accuracy

99.3%

Counts

650 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	29.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	29.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	29.5%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))))
▶	27.6%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
▶	27.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	27.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	27.4%	(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
	27.3%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
	27.4%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	27.4%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
▶	94.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
	92.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	89.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
	30.5%	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
▶	81.4%	(/.f64 #s(literal 1 binary64) N)
	27.4%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	27.5%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	27.5%	(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	30.5%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
	27.4%	(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))))
	30.6%	(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
	31.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	30.5%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	30.5%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))

Compiler

Compiled 1488 to 652 computations (56.2% saved)

simplify176.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 9 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
✓	cost-diff	0	(log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	6400	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	cost-diff	0	(+.f64 N #s(literal -1 binary64))
✓	cost-diff	0	(log.f64 (+.f64 N #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 N N)
✓	cost-diff	0	(+.f64 (*.f64 N N) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)

Rules

2450×	`+-lowering-+.f64`
2450×	`+-lowering-+.f32`
2208×	`-lowering-.f32`
2208×	`-lowering-.f64`
1912×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	383
1	112	355
2	247	355
3	814	355
4	3322	355
5	7859	355
0	8167	355

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize909.0ms (6.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(pow.f64 (log.f64 N) #s(literal 6 binary64))
✓	accuracy	99.6%	(pow.f64 (log.f64 N) #s(literal 9 binary64))
✓	accuracy	99.6%	(pow.f64 (log1p.f64 N) #s(literal 9 binary64))
✓	accuracy	98.6%	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64)))
✓	accuracy	99.9%	(/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.9%	(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.9%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	98.1%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	accuracy	100.0%	(log.f64 (+.f64 N #s(literal -1 binary64)))
✓	accuracy	100.0%	(log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))
✓	accuracy	99.9%	(/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)
✓	accuracy	97.9%	(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
✓	accuracy	99.9%	(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))

Results

734.0ms	212×	5	exit
40.0ms	44×	0	valid

Compiler

Compiled 392 to 50 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 534.0ms

backward-pass: 133.0ms (24.9% of total)

ival-pow: 118.0ms (22.1% of total)

ival-log: 115.0ms (21.5% of total)

ival-div: 40.0ms (7.5% of total)

compiled-spec: 34.0ms (6.4% of total)

ival-mult: 34.0ms (6.4% of total)

ival-add: 34.0ms (6.4% of total)

ival-sub: 11.0ms (2.1% of total)

...c/correct-round.rkt:119:19: 9.0ms (1.7% of total)

ival-neg: 4.0ms (0.7% of total)

const: 3.0ms (0.6% of total)

series104.0ms (0.7%)

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (/ (+ 1 (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)) N)>
#<alt (+ 1 (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N))>
#<alt (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)>
#<alt (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))>
#<alt (/ 1 N)>
#<alt (+ (* N N) -1)>
#<alt (* N N)>
#<alt (log (+ N -1))>
#<alt (+ N -1)>
#<alt (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1))))))>
#<alt (log (+ 1 N))>
#<alt (/ (log (+ 1 N)) (log (* N (+ N 1))))>
#<alt (log (* N (+ N 1)))>
#<alt (/ (- (pow (log (+ 1 N)) 9) (pow (log N) 9)) (* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) (+ (pow (log (+ 1 N)) 6) (+ (pow (log N) 6) (pow (* (log (+ 1 N)) (log N)) 3)))))>
#<alt (- (pow (log (+ 1 N)) 9) (pow (log N) 9))>
#<alt (pow (log (+ 1 N)) 9)>
#<alt (+ 1/3 (/ -1/4 N))>
#<alt (/ (+ 1/3 (/ -1/4 N)) N)>
#<alt (- (log (/ (+ (* N N) -1) N)) (log (+ N -1)))>
#<alt (/ (+ (* N N) -1) N)>
#<alt (log (/ (+ (* N N) -1) N))>
#<alt (pow (log N) 2)>
#<alt (/ (pow (log N) 2) (log (* N (+ N 1))))>
#<alt (pow (log N) 9)>
#<alt (pow (log N) 6)>

Outputs
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (/ -1/4 (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))>
#<alt -1/2>
#<alt (- (* 1/3 (/ 1 N)) 1/2)>
#<alt (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))>
#<alt (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))>
#<alt -1/2>
#<alt (- (* 1/3 (/ 1 N)) 1/2)>
#<alt (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)>
#<alt (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt -1>
#<alt (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (log -1)>
#<alt (+ (log -1) (* -1 N))>
#<alt (+ (log -1) (* N (- (* -1/2 N) 1)))>
#<alt (+ (log -1) (* N (- (* N (- (* -1/3 N) 1/2)) 1)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (- (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 N))) (pow N 2)))) (/ 1 N))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 N))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))>
#<alt -1>
#<alt (- N 1)>
#<alt (- N 1)>
#<alt (- N 1)>
#<alt N>
#<alt (* N (- 1 (/ 1 N)))>
#<alt (* N (- 1 (/ 1 N)))>
#<alt (* N (- 1 (/ 1 N)))>
#<alt N>
#<alt (* -1 (* N (- (/ 1 N) 1)))>
#<alt (* -1 (* N (- (/ 1 N) 1)))>
#<alt (* -1 (* N (- (/ 1 N) 1)))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)>
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)>
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)>
#<alt (* -1 (/ (- (/ (log -1) (log (/ -1 N))) 1) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/24 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/6 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N))))))) (log (/ -1 N))))))) N)) (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))>
#<alt N>
#<alt (* N (+ 1 (* -1/2 N)))>
#<alt (* N (+ 1 (* N (- (* 1/3 N) 1/2))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))>
#<alt (/ N (log N))>
#<alt (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))>
#<alt (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))>
#<alt (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))) (* 2/3 (/ 1 (pow (log N) 2)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/4 (/ 1 (* N (log (/ 1 N))))))>
#<alt (- (+ 1/2 (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))>
#<alt (- (+ 1/2 (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))))>
#<alt (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* -1/12 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))>
#<alt (log N)>
#<alt (+ N (log N))>
#<alt (+ (log N) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (* -2 (log (/ 1 N)))>
#<alt (+ (* -2 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (* -2 (log (/ -1 N)))>
#<alt (+ (* -2 (log (/ -1 N))) (/ 1 N))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (+ (* -1 (/ (+ (* (pow (log N) 6) (- (* 1/3 (log N)) 1)) (pow (log N) 5)) (pow (log N) 7))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))>
#<alt (/ (+ (* 8 (pow (log (/ 1 N)) 8)) (pow (log (/ 1 N)) 8)) (* N (* (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (+ (* 2 (pow (log (/ 1 N)) 6)) (pow (log (/ 1 N)) 6)))))>
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#<alt (+ (* -1 (pow (log (/ 1 N)) 9)) (+ (* 8 (/ (pow (log (/ 1 N)) 8) N)) (/ (pow (log (/ 1 N)) 8) N)))>
#<alt (+ (* -8 (/ (pow (log (/ 1 N)) 7) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ (* 2 (* (pow (log (/ 1 N)) 4) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))))) (* 16 (pow (log (/ 1 N)) 6)))) (pow N 2))) (+ (* -1 (pow (log (/ 1 N)) 9)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 8) (pow N 2))) (+ (* 8 (/ (pow (log (/ 1 N)) 8) N)) (/ (pow (log (/ 1 N)) 8) N))))))>
#<alt (+ (* -8 (/ (pow (log (/ 1 N)) 7) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ (* -8 (* (pow (log (/ 1 N)) 3) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))))) (* 2 (* (pow (log (/ 1 N)) 4) (+ (* -4 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* 2 (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)))))))) (pow N 3))) (+ (* -1 (/ (* (log (/ 1 N)) (+ (* 2 (* (pow (log (/ 1 N)) 4) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))))) (* 16 (pow (log (/ 1 N)) 6)))) (pow N 2))) (+ (* -1 (pow (log (/ 1 N)) 9)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 8) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 8) (pow N 3))) (+ (* 2 (/ (* (pow (log (/ 1 N)) 4) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2)))) (pow N 3))) (+ (* 4 (/ (pow (log (/ 1 N)) 7) (pow N 3))) (+ (* 8 (/ (pow (log (/ 1 N)) 8) N)) (+ (* 16 (/ (pow (log (/ 1 N)) 6) (pow N 3))) (/ (pow (log (/ 1 N)) 8) N)))))))))))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)>
#<alt (+ (* -1 (/ (+ (* -8 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 9))>
#<alt (+ (* -1 (/ (+ (* -8 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (+ (* 8 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 7)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 16 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 9))>
#<alt (+ (* -1 (/ (+ (* -8 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 16 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (+ (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 7)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -8 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (+ (* 8 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 7)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 16 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 9))>
#<alt (/ -1/4 N)>
#<alt (/ (- (* 1/3 N) 1/4) N)>
#<alt (/ (- (* 1/3 N) 1/4) N)>
#<alt (/ (- (* 1/3 N) 1/4) N)>
#<alt 1/3>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt 1/3>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (/ -1/4 (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ 1/3 N)>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) N)>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) N)>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) N)>
#<alt (/ 1/3 N)>
#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1 N)>
#<alt (/ (- (pow N 2) 1) N)>
#<alt (/ (- (pow N 2) 1) N)>
#<alt (/ (- (pow N 2) 1) N)>
#<alt N>
#<alt (* N (- 1 (/ 1 (pow N 2))))>
#<alt (* N (- 1 (/ 1 (pow N 2))))>
#<alt (* N (- 1 (/ 1 (pow N 2))))>
#<alt N>
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))>
#<alt (+ (log -1) (* -1 (log N)))>
#<alt (+ (log -1) (+ (* -1 (log N)) (* -1 (pow N 2))))>
#<alt (+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* -1/2 (pow N 2)) 1))))>
#<alt (+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* (pow N 2) (- (* -1/3 (pow N 2)) 1/2)) 1))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (- (* -1 (log (/ 1 N))) (/ 1 (pow N 2)))>
#<alt (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2))))>
#<alt (- (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4)))) (/ 1 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 (pow N 2)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2)))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4))))) (/ 1 (pow N 2)))>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))>
#<alt (* -1/2 (log (/ 1 N)))>
#<alt (- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))>
#<alt (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))>
#<alt (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (pow (log N) 9)>
#<alt (pow (log N) 9)>
#<alt (pow (log N) 9)>
#<alt (pow (log N) 9)>
#<alt (* -1 (pow (log (/ 1 N)) 9))>
#<alt (* -1 (pow (log (/ 1 N)) 9))>
#<alt (* -1 (pow (log (/ 1 N)) 9))>
#<alt (* -1 (pow (log (/ 1 N)) 9))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)>
#<alt (pow (log N) 6)>
#<alt (pow (log N) 6)>
#<alt (pow (log N) 6)>
#<alt (pow (log N) 6)>
#<alt (pow (log (/ 1 N)) 6)>
#<alt (pow (log (/ 1 N)) 6)>
#<alt (pow (log (/ 1 N)) 6)>
#<alt (pow (log (/ 1 N)) 6)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)>

Calls

75 calls:

Time	Variable		Point	Expression
49.0ms	N	@	-inf	(/ (- (pow (log (+ 1 N)) 9) (pow (log N) 9)) (* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) (+ (pow (log (+ 1 N)) 6) (+ (pow (log N) 6) (pow (* (log (+ 1 N)) (log N)) 3)))))
15.0ms	N	@	inf	(/ (- (pow (log (+ 1 N)) 9) (pow (log N) 9)) (* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) (+ (pow (log (+ 1 N)) 6) (+ (pow (log N) 6) (pow (* (log (+ 1 N)) (log N)) 3)))))
5.0ms	N	@	-inf	(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1))))))
3.0ms	N	@	inf	(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1))))))
2.0ms	N	@	inf	(- (pow (log (+ 1 N)) 9) (pow (log N) 9))

rewrite315.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3224×	`-lowering-.f32`
3224×	`-lowering-.f64`
2014×	`fma-lowering-fma.f32`
2014×	`fma-lowering-fma.f64`
1784×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	211
1	348	198
2	3334	198
0	8438	198

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 595

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))) N))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) N))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))) (.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)))) N))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N)))
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(pow.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 6 binary64))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))

simplify392.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3968×	`-lowering-.f32`
3968×	`-lowering-.f64`
3062×	`+-lowering-+.f64`
3062×	`+-lowering-+.f32`
2094×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1161	16977
1	4386	15076
0	8025	15076

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 N)
(/ (- 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 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))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
1
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
-1
(- (pow N 2) 1)
(- (pow N 2) 1)
(- (pow N 2) 1)
(pow N 2)
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(pow N 2)
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(log -1)
(+ (log -1) (* -1 N))
(+ (log -1) (* N (- (* -1/2 N) 1)))
(+ (log -1) (* N (- (* N (- (* -1/3 N) 1/2)) 1)))
(* -1 (log (/ 1 N)))
(- (* -1 (log (/ 1 N))) (/ 1 N))
(+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)))
(- (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 N))) (pow N 2)))) (/ 1 N))
(+ (log -1) (* -1 (log (/ -1 N))))
(- (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 N))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
-1
(- N 1)
(- N 1)
(- N 1)
N
(* N (- 1 (/ 1 N)))
(* N (- 1 (/ 1 N)))
(* N (- 1 (/ 1 N)))
N
(* -1 (* N (- (/ 1 N) 1)))
(* -1 (* N (- (/ 1 N) 1)))
(* -1 (* N (- (/ 1 N) 1)))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(* -1 (/ (- (/ (log -1) (log (/ -1 N))) 1) N))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/24 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/6 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N))))))) (log (/ -1 N))))))) N)) (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(* -1 (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)))
(+ (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))))
(/ N (log N))
(* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))) (* 2/3 (/ 1 (pow (log N) 2)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
1/2
(- 1/2 (* 1/4 (/ 1 (* N (log (/ 1 N))))))
(- (+ 1/2 (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))
(- (+ 1/2 (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))))
(* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))
(+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* -1/12 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(* -2 (log (/ -1 N)))
(+ (* -2 (log (/ -1 N))) (/ 1 N))
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (+ (* -1 (/ (+ (* (pow (log N) 6) (- (* 1/3 (log N)) 1)) (pow (log N) 5)) (pow (log N) 7))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
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(+ (* -1 (pow (log (/ 1 N)) 9)) (+ (* 8 (/ (pow (log (/ 1 N)) 8) N)) (/ (pow (log (/ 1 N)) 8) N)))
(+ (* -8 (/ (pow (log (/ 1 N)) 7) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ (* 2 (* (pow (log (/ 1 N)) 4) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))))) (* 16 (pow (log (/ 1 N)) 6)))) (pow N 2))) (+ (* -1 (pow (log (/ 1 N)) 9)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 8) (pow N 2))) (+ (* 8 (/ (pow (log (/ 1 N)) 8) N)) (/ (pow (log (/ 1 N)) 8) N))))))
(+ (* -8 (/ (pow (log (/ 1 N)) 7) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ (* -8 (* (pow (log (/ 1 N)) 3) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))))) (* 2 (* (pow (log (/ 1 N)) 4) (+ (* -4 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* 2 (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)))))))) (pow N 3))) (+ (* -1 (/ (* (log (/ 1 N)) (+ (* 2 (* (pow (log (/ 1 N)) 4) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))))) (* 16 (pow (log (/ 1 N)) 6)))) (pow N 2))) (+ (* -1 (pow (log (/ 1 N)) 9)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 8) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 8) (pow N 3))) (+ (* 2 (/ (* (pow (log (/ 1 N)) 4) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2)))) (pow N 3))) (+ (* 4 (/ (pow (log (/ 1 N)) 7) (pow N 3))) (+ (* 8 (/ (pow (log (/ 1 N)) 8) N)) (+ (* 16 (/ (pow (log (/ 1 N)) 6) (pow N 3))) (/ (pow (log (/ 1 N)) 8) N)))))))))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)
(+ (* -1 (/ (+ (* -8 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 9))
(+ (* -1 (/ (+ (* -8 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (+ (* 8 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 7)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 16 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 9))
(+ (* -1 (/ (+ (* -8 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 16 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (+ (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 7)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -8 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (+ (* 8 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 7)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 16 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 9))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ (- (* 1/3 N) 1/4) N)
(/ (- (* 1/3 N) 1/4) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(- 1/3 (* 1/4 (/ 1 N)))
(- 1/3 (* 1/4 (/ 1 N)))
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(- 1/3 (* 1/4 (/ 1 N)))
(- 1/3 (* 1/4 (/ 1 N)))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ 1/3 N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
(/ 1/3 N)
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(* -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 (* 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 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ -1 N)
(/ (- (pow N 2) 1) N)
(/ (- (pow N 2) 1) N)
(/ (- (pow N 2) 1) N)
N
(* N (- 1 (/ 1 (pow N 2))))
(* N (- 1 (/ 1 (pow N 2))))
(* N (- 1 (/ 1 (pow N 2))))
N
(* -1 (* N (- (/ 1 (pow N 2)) 1)))
(* -1 (* N (- (/ 1 (pow N 2)) 1)))
(* -1 (* N (- (/ 1 (pow N 2)) 1)))
(+ (log -1) (* -1 (log N)))
(+ (log -1) (+ (* -1 (log N)) (* -1 (pow N 2))))
(+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* -1/2 (pow N 2)) 1))))
(+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* (pow N 2) (- (* -1/3 (pow N 2)) 1/2)) 1))))
(* -1 (log (/ 1 N)))
(- (* -1 (log (/ 1 N))) (/ 1 (pow N 2)))
(+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2))))
(- (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4)))) (/ 1 (pow N 2)))
(+ (log -1) (* -1 (log (/ -1 N))))
(- (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 (pow N 2)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2)))))
(- (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4))))) (/ 1 (pow N 2)))
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))
(* -1/2 (log (/ 1 N)))
(- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))
(- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))
(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(pow (log N) 9)
(pow (log N) 9)
(pow (log N) 9)
(pow (log N) 9)
(* -1 (pow (log (/ 1 N)) 9))
(* -1 (pow (log (/ 1 N)) 9))
(* -1 (pow (log (/ 1 N)) 9))
(* -1 (pow (log (/ 1 N)) 9))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)
(pow (log N) 6)
(pow (log N) 6)
(pow (log N) 6)
(pow (log N) 6)
(pow (log (/ 1 N)) 6)
(pow (log (/ 1 N)) 6)
(pow (log (/ 1 N)) 6)
(pow (log (/ 1 N)) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)

Outputs
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (+.f64 (*.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(-.f64 #s(literal 0 binary64) (/.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 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.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 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.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))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N 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 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 N (.f64 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)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) N)
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) N)
(/ -1/4 (pow N 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 N N))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/.f64 (+.f64 (.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (*.f64 N N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (*.f64 N N))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 (/ 1 N)) 1/2)
(+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))))
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 (/ 1 N)) 1/2)
(+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) N) #s(literal -1/2 binary64))
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) N) #s(literal -1/2 binary64))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
-1
#s(literal -1 binary64)
(- (pow N 2) 1)
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(- (pow N 2) 1)
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(- (pow N 2) 1)
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(pow N 2)
(*.f64 N N)
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(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))
(-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 N N)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 N (.f64 N N)) (log.f64 (/.f64 #s(literal 1 binary64) N)))))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (.f64 (.f64 N (.f64 N N)) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (/.f64 #s(literal 1/4 binary64) N) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1/12 binary64) (.f64 N (*.f64 N N)))))))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))
(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (.f64 (/.f64 #s(literal -1/8 binary64) N) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) N) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))) N))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64)))) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) #s(literal -1/8 binary64)))) (.f64 N (log.f64 (/.f64 #s(literal -1 binary64) N)))) (-.f64 (+.f64 (.f64 (/.f64 #s(literal -1/12 binary64) N) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1/16 binary64) N) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64)))) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) #s(literal -1/8 binary64)))))) N) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) N))
(pow (log N) 9)
(pow.f64 (log.f64 N) #s(literal 9 binary64))
(pow (log N) 9)
(pow.f64 (log.f64 N) #s(literal 9 binary64))
(pow (log N) 9)
(pow.f64 (log.f64 N) #s(literal 9 binary64))
(pow (log N) 9)
(pow.f64 (log.f64 N) #s(literal 9 binary64))
(* -1 (pow (log (/ 1 N)) 9))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 9 binary64)))
(* -1 (pow (log (/ 1 N)) 9))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 9 binary64)))
(* -1 (pow (log (/ 1 N)) 9))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 9 binary64)))
(* -1 (pow (log (/ 1 N)) 9))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 9 binary64)))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 9 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 9 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 9 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 9)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 9 binary64))
(pow (log N) 6)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow (log N) 6)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow (log N) 6)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow (log N) 6)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow (log (/ 1 N)) 6)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))
(pow (log (/ 1 N)) 6)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))
(pow (log (/ 1 N)) 6)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))
(pow (log (/ 1 N)) 6)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))

eval176.0ms (1.2%)

Compiler: Compiled 53201 to 4458 computations (91.6% saved)

prune208.0ms (1.5%)

Pruning

54 alts after pruning (49 fresh and 5 done)

	Pruned	Kept	Total
New	1122	36	1158
Fresh	6	13	19
Picked	1	4	5
Done	0	1	1
Total	1129	54	1183

Accuracy

99.5%

Counts

1183 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 9/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9/2 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))))) (neg.f64 (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))))
	29.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	29.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	29.5%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	28.6%	(fma.f64 (-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (.f64 N (+.f64 N #s(literal -1 binary64))))) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
	28.6%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (.f64 N (.f64 N N))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	27.6%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
	28.0%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
	27.8%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (.f64 (log.f64 N) (.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))))
▶	27.4%	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	29.7%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	27.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 27 binary64)) (pow.f64 (log.f64 N) #s(literal 27 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 9 binary64)))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	94.1%	(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))) N)
	93.6%	(/.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -8 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 N (.f64 N N))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 7 binary64))) N) (.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 7 binary64)) (.f64 N (.f64 N N))))) (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) #s(literal 16 binary64)))) (.f64 N (.f64 N N))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 8 binary64))) N) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 8 binary64)) (.f64 N (.f64 N N)))) (/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 8 binary64))) (.f64 N N))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -2/3 binary64)) #s(literal 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#s(literal 4 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) #s(literal 16 binary64)))) N)) (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (+.f64 (.f64 (.f64 #s(literal -8 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -2/3 binary64)) #s(literal -1 binary64)))))))) (.f64 N N))) (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (+.f64 (.f64 (.f64 #s(literal -8 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -4 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 11/12 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 2 binary64))))) (pow.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))))) (.f64 N (.f64 N N)))))) N) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	93.9%	(/.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
	94.1%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))))) N)
	94.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))))) N)
	94.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))))) N)
	28.1%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) #s(literal 3/2 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
▶	28.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	27.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (.f64 N (.f64 N N)))))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	28.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (exp.f64 (.f64 #s(literal 9 binary64) (log.f64 (log.f64 N))))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	27.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	27.4%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
	27.4%	(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))
	28.7%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))))))
	28.4%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	94.1%	(/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))) N)
	92.2%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
	27.3%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
	27.4%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
	92.2%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
▶	89.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
✓	94.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
▶	94.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) N)
	94.1%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
	27.5%	(/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 9/2 binary64)) (pow.f64 (log.f64 N) #s(literal 9/2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9/2 binary64)) (pow.f64 (log.f64 N) #s(literal 9/2 binary64)))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	30.5%	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
	28.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))))) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))))
	30.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 (.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))))
	94.1%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
✓	81.4%	(/.f64 #s(literal 1 binary64) N)
	27.4%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
	27.4%	(-.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))))) (log.f64 (+.f64 N #s(literal -1 binary64))))
✓	27.5%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	27.5%	(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	30.5%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
	94.1%	(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
	27.4%	(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))))
	30.6%	(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
	31.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	30.4%	(log.f64 (/.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))
▶	30.5%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	30.5%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))

Compiler

Compiled 4691 to 1961 computations (58.2% saved)

simplify184.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 9 binary64))
✓	cost-diff	6464	(pow.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	6464	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	6464	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	0	(/.f64 (log.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	6400	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	cost-diff	0	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 N #s(literal 1 binary64)) N)
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) N)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
✓	cost-diff	0	(/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) N)

Rules

2452×	`+-lowering-+.f64`
2452×	`+-lowering-+.f32`
2350×	`-lowering-.f32`
2350×	`-lowering-.f64`
1840×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	401
1	114	365
2	271	363
3	893	363
4	3371	363
5	7931	363
0	8220	363

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize1.1s (7.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
✓	accuracy	99.7%	(pow.f64 (log.f64 N) #s(literal 6 binary64))
✓	accuracy	99.6%	(pow.f64 (log1p.f64 N) #s(literal 9 binary64))
✓	accuracy	98.6%	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.9%	(/.f64 (log.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	99.8%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	98.1%	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 N #s(literal 1 binary64)) N)
✓	accuracy	98.5%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) N)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
✓	accuracy	99.9%	(/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))
✓	accuracy	99.9%	(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))

Results

951.0ms	212×	5	exit
29.0ms	44×	0	valid

Compiler

Compiled 410 to 53 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 790.0ms

ival-pow: 302.0ms (38.2% of total)

backward-pass: 133.0ms (16.8% of total)

ival-log: 128.0ms (16.2% of total)

ival-mult: 80.0ms (10.1% of total)

ival-div: 54.0ms (6.8% of total)

compiled-spec: 38.0ms (4.8% of total)

ival-add: 35.0ms (4.4% of total)

...c/correct-round.rkt:119:19: 9.0ms (1.1% of total)

ival-sub: 8.0ms (1% of total)

const: 4.0ms (0.5% of total)

series33.0ms (0.2%)

Counts

24 → 288

Calls

Call 1

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

Outputs
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
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#<alt (+ (* -1 (/ (+ (* -8 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 16 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (+ (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 7)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -8 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)) (+ (* 8 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 7)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 16 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 8)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 9))>
#<alt (/ -1/4 N)>
#<alt (/ (- (* 1/3 N) 1/4) N)>
#<alt (/ (- (* 1/3 N) 1/4) N)>
#<alt (/ (- (* 1/3 N) 1/4) N)>
#<alt 1/3>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt 1/3>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (/ -1/4 (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ 1/3 N)>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) N)>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) N)>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) N)>
#<alt (/ 1/3 N)>
#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))>
#<alt (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (/ (pow N 2) (log N))>
#<alt (* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))>
#<alt (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))>
#<alt (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))>
#<alt (* -1/2 (log (/ 1 N)))>
#<alt (+ (* -1/2 (log (/ 1 N))) (* 3/4 (/ 1 N)))>
#<alt (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 1 (pow N 3))))))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))>
#<alt (+ (* -1 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) N)) (/ (log -1) (log (/ -1 N)))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) N)) (/ (log -1) (log (/ -1 N)))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (pow (log N) 6)>
#<alt (pow (log N) 6)>
#<alt (pow (log N) 6)>
#<alt (pow (log N) 6)>
#<alt (pow (log (/ 1 N)) 6)>
#<alt (pow (log (/ 1 N)) 6)>
#<alt (pow (log (/ 1 N)) 6)>
#<alt (pow (log (/ 1 N)) 6)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)>
#<alt (pow N 6)>
#<alt (* (pow N 6) (+ 1 (* -3 N)))>
#<alt (* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3))))>
#<alt (* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3))))>
#<alt (pow (log (/ 1 N)) 6)>
#<alt (+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N)) (pow (log (/ 1 N)) 6))>
#<alt (+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N)) (+ (/ (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2) (pow N 2)) (pow (log (/ 1 N)) 6))))>
#<alt (+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ 1 (+ (* -1 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N))))))) (pow N 3))) (+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N)) (+ (* 2 (/ (* (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow N 3))) (+ (/ (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2) (pow N 2)) (pow (log (/ 1 N)) 6))))))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)>
#<alt (+ (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2)) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))))) N)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))>

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(/ (- (pow (log (+ 1 N)) 9) (pow (pow (log N) 9/2) 2)) (* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) (+ (pow (log (+ 1 N)) 6) (+ (pow (log N) 6) (pow (* (log (+ 1 N)) (log N)) 3)))))
2.0ms	N	@	-inf	(+ (* (log N) (/ (log N) (log (/ 1 (* N (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (log (* N (+ 1 N)))))
1.0ms	N	@	inf	(/ (- (pow (log (+ 1 N)) 9) (pow (pow (log N) 9/2) 2)) (* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) (+ (pow (log (+ 1 N)) 6) (+ (pow (log N) 6) (pow (* (log (+ 1 N)) (log N)) 3)))))
1.0ms	N	@	-inf	(/ (log N) (log (/ 1 (* N (+ 1 N)))))
1.0ms	N	@	inf	(+ (* (log N) (/ (log N) (log (/ 1 (* N (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (log (* N (+ 1 N)))))

rewrite597.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3326×	`-lowering-.f32`
3326×	`-lowering-.f64`
1914×	`pow-lowering-pow.f64`
1914×	`pow-lowering-pow.f32`
1864×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	212
1	356	202
2	3331	201
0	8355	201

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 592

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))) N))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) N))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))) (.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)))) N))
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(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))
(*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 N (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 N (.f64 N N))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) N) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))))
(.f64 (pow.f64 (/.f64 N (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 N N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log1p.f64 N)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 1 binary64)) (.f64 (log.f64 (log1p.f64 N)) #s(literal 1 binary64))))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 2 binary64))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(*.f64 (exp.f64 (log.f64 (log1p.f64 N))) (exp.f64 (log.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(pow.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (log1p.f64 N) (.f64 (log1p.f64 N) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 N)))) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64)) (.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))))
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 6 binary64))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 (log1p.f64 N))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log1p.f64 N)))) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 1 binary64)) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))))
(exp.f64 (+.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)) (.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))
(exp.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N)))) (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N)))))
(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 6 binary64))
(pow.f64 (*.f64 (exp.f64 (log.f64 (log1p.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (exp.f64 (log.f64 (log1p.f64 N)))) #s(literal 2 binary64))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 6 binary64)))

simplify420.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4096×	`-lowering-.f32`
4096×	`-lowering-.f64`
3006×	`+-lowering-+.f64`
3006×	`+-lowering-+.f32`
2004×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1187	16906
1	4437	14972
0	8082	14972

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 N)
(/ (- 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 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))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
1
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* -4 (pow N 3))
(* (pow N 3) (- (* -16/3 N) 4))
(* (pow N 3) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 3) (- (* N (- (* N (+ 8/9 (* 320/27 N))) 16/3)) 4))
(* -2 N)
(* -1 (* N (+ 2 (* 4/3 (/ 1 N)))))
(* N (- (/ 1/9 (pow N 2)) (+ 2 (* 4/3 (/ 1 N)))))
(* N (- (+ (/ 1/9 (pow N 2)) (* 20/27 (/ 1 (pow N 3)))) (+ 2 (* 4/3 (/ 1 N)))))
(* -2 N)
(* -1 (* N (+ 2 (* 4/3 (/ 1 N)))))
(* -1 (* N (+ 2 (* -1 (/ (- (* 1/9 (/ 1 N)) 4/3) N)))))
(* -1 (* N (+ 2 (* -1 (/ (- (+ (/ 20/27 (pow N 2)) (* 1/9 (/ 1 N))) 4/3) N)))))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/ -1/2 N)
(/ (- N 1/2) N)
(/ (- N 1/2) N)
(/ (- N 1/2) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
1
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(* -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 (* 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 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ 1 N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
1
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
1
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (+ 1/3 (* 1/2 (/ 1 (log N)))) (+ (* -1 (/ (+ 1/2 (/ 1 (log N))) (log N))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) 1/2)))))
(+ (* -1/2 (log (/ 1 N))) (* 1/2 (log (/ 1 N))))
(+ (* -1/2 (log (/ 1 N))) (+ (* 1/2 (log (/ 1 N))) (/ 1 N)))
(+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (log (/ 1 N))) (+ (/ 1 N) (* 1/2 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))
(- (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (log (/ 1 N))) (+ (/ 1 N) (* 1/2 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (log (/ 1 N)))) 1/8) (* (pow N 3) (log (/ 1 N))))) (/ 1/4 (* (pow N 3) (log (/ 1 N)))))))
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(+ (* -1 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))))) N)) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))) (+ (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))))) N)) (/ (log -1) (log (/ -1 N)))) (+ 1 (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))))) N)) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* -1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))) (+ (* 1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))) (+ (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))))) N)) (/ (log -1) (log (/ -1 N)))) (+ 1 (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))))) N)) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))))
(log N)
(log N)
(log N)
(log N)
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
-1
(- (/ N (log N)) 1)
(- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) 1)
(- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) 1)
-1/2
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(+ (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2)) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))))) N)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))

Outputs
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (+.f64 (*.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(-.f64 #s(literal 0 binary64) (/.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 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (neg.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 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (neg.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))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N 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 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 N (.f64 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)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
(* -4 (pow N 3))
(.f64 (.f64 N (*.f64 N N)) #s(literal -4 binary64))
(* (pow N 3) (- (* -16/3 N) 4))
(.f64 (.f64 N (.f64 N N)) (+.f64 (.f64 N #s(literal -16/3 binary64)) #s(literal -4 binary64)))
(* (pow N 3) (- (* N (- (* 8/9 N) 16/3)) 4))
(.f64 (.f64 N (.f64 N N)) (+.f64 (.f64 N (+.f64 (*.f64 N #s(literal 8/9 binary64)) #s(literal -16/3 binary64))) #s(literal -4 binary64)))
(* (pow N 3) (- (* N (- (* N (+ 8/9 (* 320/27 N))) 16/3)) 4))
(.f64 (.f64 N (.f64 N N)) (+.f64 (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 8/9 binary64) (.f64 N #s(literal 320/27 binary64)))) #s(literal -16/3 binary64))) #s(literal -4 binary64)))
(* -2 N)
(*.f64 N #s(literal -2 binary64))
(* -1 (* N (+ 2 (* 4/3 (/ 1 N)))))
(-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N))))
(* N (- (/ 1/9 (pow N 2)) (+ 2 (* 4/3 (/ 1 N)))))
(.f64 N (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 N N)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N))))
(* N (- (+ (/ 1/9 (pow N 2)) (* 20/27 (/ 1 (pow N 3)))) (+ 2 (* 4/3 (/ 1 N)))))
(.f64 N (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 N N)) (-.f64 (/.f64 #s(literal 20/27 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N)))))
(* -2 N)
(*.f64 N #s(literal -2 binary64))
(* -1 (* N (+ 2 (* 4/3 (/ 1 N)))))
(-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N))))
(* -1 (* N (+ 2 (* -1 (/ (- (* 1/9 (/ 1 N)) 4/3) N)))))
(*.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))
(* -1 (* N (+ 2 (* -1 (/ (- (+ (/ 20/27 (pow N 2)) (* 1/9 (/ 1 N))) 4/3) N)))))
(.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20/27 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64))) N)))
(/ -1/2 (pow N 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N 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 (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- N 1/2) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) N)
(/ (- N 1/2) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) N)
(/ (- N 1/2) N)
(/.f64 (+.f64 N #s(literal -1/2 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 (* 1/2 (/ 1 N)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(- 1 (* 1/2 (/ 1 N)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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 (* 1/2 (/ 1 N)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(- 1 (* 1/2 (/ 1 N)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(* -1 (log N))
(log.f64 (/.f64 #s(literal 1 binary64) N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(-.f64 (.f64 N (+.f64 (.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64))) (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (*.f64 N #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (log.f64 N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(-.f64 #s(literal 0 binary64) (/.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 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (neg.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 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) N) #s(literal -1/2 binary64))) N) #s(literal -1 binary64)) N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
1
#s(literal 1 binary64)
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
1
#s(literal 1 binary64)
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(* N (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(* N (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
N
(* N (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(* N (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(* N (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(* -1 (log N))
(log.f64 (/.f64 #s(literal 1 binary64) N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(-.f64 (.f64 N (+.f64 (.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64))) (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (+ 1/3 (* 1/2 (/ 1 (log N)))) (+ (* -1 (/ (+ 1/2 (/ 1 (log N))) (log N))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) 1/2)))))
(-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (*.f64 N (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (log.f64 N))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))) (log.f64 N))))) #s(literal -1/2 binary64))))) (log.f64 N))
(+ (* -1/2 (log (/ 1 N))) (* 1/2 (log (/ 1 N))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 0 binary64))
(+ (* -1/2 (log (/ 1 N))) (+ (* 1/2 (log (/ 1 N))) (/ 1 N)))
(+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) N))
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(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3))))
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(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3))))
(.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 23/4 binary64) (.f64 N #s(literal -9 binary64)))) #s(literal -3 binary64)))))
(pow (log (/ 1 N)) 6)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))
(+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N)) (pow (log (/ 1 N)) 6))
(+.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N))
(+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N)) (+ (/ (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2) (pow N 2)) (pow (log (/ 1 N)) 6))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (.f64 N N)) (+.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 N N))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64))))
(+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ 1 (+ (* -1 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N))))))) (pow N 3))) (+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N)) (+ (* 2 (/ (* (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow N 3))) (+ (/ (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2) (pow N 2)) (pow (log (/ 1 N)) 6))))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (log.f64 N) (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (.f64 N (.f64 N N))) (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (.f64 N N)) (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N) (+.f64 (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 N N))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (.f64 N (.f64 N N)))))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(+ (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)))) N))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2)) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64))) (/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))))) (pow.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64))) N)) N))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))))) N)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64))) (/.f64 (-.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))))) (pow.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (-.f64 (+.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) N)) N)) N))

eval161.0ms (1.1%)

Compiler: Compiled 45984 to 3747 computations (91.9% saved)

prune185.0ms (1.3%)

Pruning

55 alts after pruning (46 fresh and 9 done)

	Pruned	Kept	Total
New	1000	16	1016
Fresh	14	30	44
Picked	1	4	5
Done	0	5	5
Total	1015	55	1070

Accuracy

99.6%

Counts

1070 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 9/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9/2 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))))) (neg.f64 (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))))
	29.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	28.6%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 N)))
	29.5%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	28.6%	(fma.f64 (-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (.f64 N (+.f64 N #s(literal -1 binary64))))) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
	28.6%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (.f64 N (.f64 N N))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	27.6%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
	28.0%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
	27.8%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (.f64 (log.f64 N) (.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	27.4%	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (neg.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	27.7%	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
▶	27.7%	(fma.f64 (log.f64 N) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	29.7%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	27.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 27 binary64)) (pow.f64 (log.f64 N) #s(literal 27 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 9 binary64)))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	28.1%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) #s(literal 3/2 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
✓	28.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	28.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (exp.f64 (.f64 #s(literal 6 binary64) (log.f64 (log.f64 N)))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	27.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (.f64 N (.f64 N N)))))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	28.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (exp.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 9 binary64)))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	27.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	27.4%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	27.4%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
	27.4%	(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))
	28.7%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))))))
	28.4%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
▶	28.5%	(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	92.2%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
	92.2%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
✓	89.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	27.4%	(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64))) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
▶	88.8%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	94.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
✓	94.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) N)
	93.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N)))))) N)
▶	95.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) N)
	27.5%	(/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 9/2 binary64)) (pow.f64 (log.f64 N) #s(literal 9/2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9/2 binary64)) (pow.f64 (log.f64 N) #s(literal 9/2 binary64)))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	30.5%	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
	28.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))))) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))))
	30.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 (.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))))
	94.1%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
	89.2%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
✓	81.4%	(/.f64 #s(literal 1 binary64) N)
	27.4%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
	89.1%	(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
	27.4%	(-.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))))) (log.f64 (+.f64 N #s(literal -1 binary64))))
✓	27.5%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	27.5%	(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	30.5%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
	94.1%	(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
	89.1%	(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
	31.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
▶	30.4%	(log.f64 (/.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))
✓	30.5%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	30.5%	(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
	30.5%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))

Compiler

Compiled 3195 to 1646 computations (48.5% saved)

simplify213.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64)))
✓	cost-diff	128	(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓	cost-diff	128	(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	cost-diff	256	(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N))
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	13120	(fma.f64 (log.f64 N) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	cost-diff	0	(*.f64 N N)
✓	cost-diff	0	(+.f64 (*.f64 N N) #s(literal -1 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))
✓	cost-diff	512	(log.f64 (/.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))
✓	cost-diff	0	(*.f64 N N)
✓	cost-diff	0	(+.f64 N #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	cost-diff	256	(*.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))
✓	cost-diff	256	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))
✓	cost-diff	256	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) N)

Rules

2146×	`-lowering-.f32`
2146×	`-lowering-.f64`
1854×	`/-lowering-/.f32`
1854×	`/-lowering-/.f64`
1678×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	425
1	113	379
2	238	374
3	705	361
4	2400	338
5	7889	338
0	8300	338

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ 1 (/ 1 (* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N))))) N)
(+ 1 (/ 1 (* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N)))))
1
(/ 1 (* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N))))
(* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N)))
(- 0 N)
0
N
(- 2 (/ (+ (/ 1/9 N) -4/3) N))
2
(/ (+ (/ 1/9 N) -4/3) N)
(+ (/ 1/9 N) -4/3)
(/ 1/9 N)
1/9
-4/3
(/ (+ N -1/2) (* N N))
(+ N -1/2)
N
-1/2
(* N N)
(log (/ (/ (+ (* N N) -1) N) (+ N -1)))
(/ (/ (+ (* N N) -1) N) (+ N -1))
(/ (+ (* N N) -1) N)
(+ (* N N) -1)
(* N N)
N
-1
(+ N -1)
(+ (* (log N) (* (/ -1 (log (* N (+ 1 N)))) (log N))) (/ (pow (log (+ 1 N)) 2) (log (* N (+ 1 N)))))
(log N)
N
(* (/ -1 (log (* N (+ 1 N)))) (log N))
(/ -1 (log (* N (+ 1 N))))
-1
(log (* N (+ 1 N)))
(* N (+ 1 N))
(+ 1 N)
1
(/ (pow (log (+ 1 N)) 2) (log (* N (+ 1 N))))
(pow (log (+ 1 N)) 2)
(log (+ 1 N))
2
(/ (- (/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2)) (pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2)) (/ (- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2))) (log (/ 1 (* N (+ 1 N))))))
(- (/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2)) (pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2))
(/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2))
(pow (log N) 4)
(log N)
N
4
(pow (log (/ 1 (* N (+ 1 N)))) 2)
(log (/ 1 (* N (+ 1 N))))
(/ 1 (* N (+ 1 N)))
1
(* N (+ 1 N))
(+ 1 N)
2
(pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2)
(/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2))
(log (* N (+ 1 N)))
(pow (log (+ 1 N)) 2)
(log (+ 1 N))
-2
(/ (- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2))) (log (/ 1 (* N (+ 1 N)))))
(- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2)))
(pow (log N) 2)
(- 0 (pow (log (+ 1 N)) 2))
0

Outputs
(/ (+ 1 (/ 1 (* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) (*.f64 N #s(literal -2 binary64))))) N)
(+ 1 (/ 1 (* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) (*.f64 N #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(/ 1 (* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) (*.f64 N #s(literal -2 binary64))))
(* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N)))
(+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) (*.f64 N #s(literal -2 binary64)))
(- 0 N)
(-.f64 #s(literal 0 binary64) N)
0
#s(literal 0 binary64)
N
(- 2 (/ (+ (/ 1/9 N) -4/3) N))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) N) #s(literal 4/3 binary64)) N))
2
#s(literal 2 binary64)
(/ (+ (/ 1/9 N) -4/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)
(+ (/ 1/9 N) -4/3)
(+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64))
(/ 1/9 N)
(/.f64 #s(literal 1/9 binary64) N)
1/9
#s(literal 1/9 binary64)
-4/3
#s(literal -4/3 binary64)
(/ (+ N -1/2) (* N N))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(+ N -1/2)
(+.f64 N #s(literal -1/2 binary64))
N
-1/2
#s(literal -1/2 binary64)
(* N N)
(*.f64 N N)
(log (/ (/ (+ (* N N) -1) N) (+ N -1)))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/ (/ (+ (* N N) -1) N) (+ N -1))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(/ (+ (* N N) -1) N)
(+.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))
(+ (* N N) -1)
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(* N N)
(*.f64 N N)
N
-1
#s(literal -1 binary64)
(+ N -1)
(+.f64 N #s(literal -1 binary64))
(+ (* (log N) (* (/ -1 (log (* N (+ 1 N)))) (log N))) (/ (pow (log (+ 1 N)) 2) (log (* N (+ 1 N)))))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(log N)
(log.f64 N)
N
(* (/ -1 (log (* N (+ 1 N)))) (log N))
(/.f64 (log.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/ -1 (log (* N (+ 1 N))))
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
-1
#s(literal -1 binary64)
(log (* N (+ 1 N)))
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(/ (pow (log (+ 1 N)) 2) (log (* N (+ 1 N))))
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(pow (log (+ 1 N)) 2)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log (+ 1 N))
(log1p.f64 N)
2
#s(literal 2 binary64)
(/ (- (/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2)) (pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2)) (/ (- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2))) (log (/ 1 (* N (+ 1 N))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) 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))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(- (/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2)) (pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2))
(-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64)))
(/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2))
(/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(log N)
(log.f64 N)
N
4
#s(literal 4 binary64)
(pow (log (/ 1 (* N (+ 1 N)))) 2)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))
(log (/ 1 (* N (+ 1 N))))
(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ 1 (* N (+ 1 N)))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
1
#s(literal 1 binary64)
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
2
#s(literal 2 binary64)
(pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2)
(pow.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64))
(/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2))
(/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(log (* N (+ 1 N)))
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(pow (log (+ 1 N)) 2)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log (+ 1 N))
(log1p.f64 N)
-2
#s(literal -2 binary64)
(/ (- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2))) (log (/ 1 (* N (+ 1 N)))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2)))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(- 0 (pow (log (+ 1 N)) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
0
#s(literal 0 binary64)

localize1.1s (8.1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))
✓	accuracy	99.8%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	99.8%	(pow.f64 (log.f64 N) #s(literal 4 binary64))
✓	accuracy	98.3%	(-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64)))
✓	accuracy	99.9%	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N))
✓	accuracy	99.8%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	98.0%	(fma.f64 (log.f64 N) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	100.0%	(*.f64 N N)
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))
✓	accuracy	99.9%	(/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)
✓	accuracy	98.4%	(log.f64 (/.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))
✓	accuracy	100.0%	(+.f64 N #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 N N)
✓	accuracy	99.9%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))
✓	accuracy	99.9%	(+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1/9 binary64) N)
✓	accuracy	99.9%	(*.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))

Results

985.0ms	211×	5	exit
30.0ms	45×	0	valid

Compiler

Compiled 454 to 51 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 713.0ms

ival-log: 267.0ms (37.5% of total)

backward-pass: 122.0ms (17.1% of total)

ival-div: 92.0ms (12.9% of total)

ival-pow: 68.0ms (9.5% of total)

ival-sub: 54.0ms (7.6% of total)

compiled-spec: 33.0ms (4.6% of total)

ival-mult: 30.0ms (4.2% of total)

ival-add: 27.0ms (3.8% of total)

...c/correct-round.rkt:119:19: 16.0ms (2.2% of total)

const: 3.0ms (0.4% of total)

series96.0ms (0.7%)

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (/ (+ 1 (/ 1 (* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N))))) N)>
#<alt (+ 1 (/ 1 (* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N)))))>
#<alt (/ 1 (* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N))))>
#<alt (* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N)))>
#<alt (/ (+ N -1/2) (* N N))>
#<alt (+ N -1/2)>
#<alt (* N N)>
#<alt (log (/ (/ (+ (* N N) -1) N) (+ N -1)))>
#<alt (/ (/ (+ (* N N) -1) N) (+ N -1))>
#<alt (+ (* N N) -1)>
#<alt (+ (* (log N) (* (/ -1 (log (* N (+ 1 N)))) (log N))) (/ (pow (log (+ 1 N)) 2) (log (* N (+ 1 N)))))>
#<alt (log N)>
#<alt (* (/ -1 (log (* N (+ 1 N)))) (log N))>
#<alt (/ -1 (log (* N (+ 1 N))))>
#<alt (/ (- (/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2)) (pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2)) (/ (- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2))) (log (/ 1 (* N (+ 1 N))))))>
#<alt (/ (- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2))) (log (/ 1 (* N (+ 1 N)))))>
#<alt (- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2)))>
#<alt (- (/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2)) (pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2))>
#<alt (/ 1/9 N)>
#<alt (+ (/ 1/9 N) -4/3)>
#<alt (/ (+ (* N N) -1) N)>
#<alt (pow (log (+ 1 N)) 2)>
#<alt (/ (pow (log (+ 1 N)) 2) (log (* N (+ 1 N))))>
#<alt (pow (log N) 4)>
#<alt (pow (log (/ 1 (* N (+ 1 N)))) 2)>

Outputs
#<alt (/ 1 N)>
#<alt (/ (+ 1 (* 9 N)) N)>
#<alt (/ (+ 1 (* N (+ 9 (* 108 N)))) N)>
#<alt (/ (+ 1 (* N (+ 9 (* N (+ 108 (* 1458 N)))))) N)>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt 1>
#<alt (+ 1 (* 9 N))>
#<alt (+ 1 (* N (+ 9 (* 108 N))))>
#<alt (+ 1 (* N (+ 9 (* N (+ 108 (* 1458 N))))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (* 9 N)>
#<alt (* N (+ 9 (* 108 N)))>
#<alt (* N (+ 9 (* N (+ 108 (* 1458 N)))))>
#<alt (* N (+ 9 (* N (+ 108 (* N (+ 1458 (* 19440 N)))))))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/3 (/ 1 N)) (* 5/27 (/ 1 (pow N 3)))) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/4 (* 5/27 (/ 1 N))) N))) N))) N))>
#<alt (/ 1/9 N)>
#<alt (/ (+ 1/9 (* -4/3 N)) N)>
#<alt (/ (+ 1/9 (* N (- (* -2 N) 4/3))) N)>
#<alt (/ (+ 1/9 (* N (- (* -2 N) 4/3))) N)>
#<alt (* -2 N)>
#<alt (* -1 (* N (+ 2 (* 4/3 (/ 1 N)))))>
#<alt (* N (- (/ 1/9 (pow N 2)) (+ 2 (* 4/3 (/ 1 N)))))>
#<alt (* N (- (/ 1/9 (pow N 2)) (+ 2 (* 4/3 (/ 1 N)))))>
#<alt (* -2 N)>
#<alt (* -1 (* N (+ 2 (* 4/3 (/ 1 N)))))>
#<alt (* -1 (* N (+ 2 (* -1 (/ (- (* 1/9 (/ 1 N)) 4/3) N)))))>
#<alt (* -1 (* N (+ 2 (* -1 (/ (- (* 1/9 (/ 1 N)) 4/3) N)))))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt -1/2>
#<alt (- N 1/2)>
#<alt (- N 1/2)>
#<alt (- N 1/2)>
#<alt N>
#<alt (* N (- 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- 1 (* 1/2 (/ 1 N))))>
#<alt N>
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))>
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))>
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 N) N)>
#<alt (/ (+ 1 N) N)>
#<alt (/ (+ 1 N) N)>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt -1>
#<alt (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (/ 1 (log N)))))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (+ (* 1/3 N) (/ 1 (log N))))))))>
#<alt (+ (* -1/2 (log (/ 1 N))) (* 1/2 (log (/ 1 N))))>
#<alt (+ (* -1/2 (log (/ 1 N))) (+ (* 1/2 (log (/ 1 N))) (/ 1 N)))>
#<alt (+ (* -1 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (pow N 2))) (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (log (/ 1 N))) (+ (/ 1/8 (pow N 2)) (+ (/ 1 N) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))>
#<alt (- (+ (* -1 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (pow N 2))) (+ (* -1 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (pow N 3))) (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (log (/ 1 N))) (+ (/ 1/8 (pow N 2)) (+ (/ 1 N) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 1 (pow N 3))))))>
#<alt (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (/ (log -1) (log (/ -1 N))) 1) N)) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N)) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))))>
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#<alt (+ (* -1/2 (log (/ 1 N))) (* 3/4 (/ 1 N)))>
#<alt (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 1 (pow N 3))))))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))>
#<alt (+ (* -1 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) N)) (/ (log -1) (log (/ -1 N)))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) N)) (/ (log -1) (log (/ -1 N)))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (pow (log N) 4)>
#<alt (pow (log N) 4)>
#<alt (pow (log N) 4)>
#<alt (pow (log N) 4)>
#<alt (pow (log (/ 1 N)) 4)>
#<alt (pow (log (/ 1 N)) 4)>
#<alt (pow (log (/ 1 N)) 4)>
#<alt (pow (log (/ 1 N)) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)>
#<alt (pow (log N) 2)>
#<alt (+ (* 2 (* N (log N))) (pow (log N) 2))>
#<alt (+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))>
#<alt (+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))>
#<alt (* 4 (pow (log (/ 1 N)) 2))>
#<alt (+ (* -4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))>
#<alt (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))>
#<alt (- (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))) (/ 1 (pow N 3)))>
#<alt (* 4 (pow (log (/ -1 N)) 2))>
#<alt (+ (* -4 (/ (log (/ -1 N)) N)) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 2 (log (/ -1 N)))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 4/3 (log (/ -1 N)))) N)) (* 2 (log (/ -1 N))))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))>

Calls

75 calls:

Time	Variable		Point	Expression
50.0ms	N	@	-inf	(/ (- (/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2)) (pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2)) (/ (- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2))) (log (/ 1 (* N (+ 1 N))))))
10.0ms	N	@	inf	(/ (- (/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2)) (pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2)) (/ (- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2))) (log (/ 1 (* N (+ 1 N))))))
2.0ms	N	@	inf	(- (/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2)) (pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2))
1.0ms	N	@	0	(/ (- (/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2)) (pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2)) (/ (- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2))) (log (/ 1 (* N (+ 1 N))))))
1.0ms	N	@	-inf	(/ (- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2))) (log (/ 1 (* N (+ 1 N)))))

rewrite432.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2922×	`-lowering-.f32`
2922×	`-lowering-.f64`
2364×	`fma-lowering-fma.f32`
2364×	`fma-lowering-fma.f64`
1752×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	251
1	367	221
2	3361	217
0	8723	217

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 832

Calls

Call 1

Inputs
(/ (+ 1 (/ 1 (* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N))))) N)
(+ 1 (/ 1 (* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N)))))
(/ 1 (* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N))))
(* (- 0 N) (- 2 (/ (+ (/ 1/9 N) -4/3) N)))
(/ (+ N -1/2) (* N N))
(+ N -1/2)
(* N N)
(log (/ (/ (+ (* N N) -1) N) (+ N -1)))
(/ (/ (+ (* N N) -1) N) (+ N -1))
(+ (* N N) -1)
(+ (* (log N) (* (/ -1 (log (* N (+ 1 N)))) (log N))) (/ (pow (log (+ 1 N)) 2) (log (* N (+ 1 N)))))
(log N)
(* (/ -1 (log (* N (+ 1 N)))) (log N))
(/ -1 (log (* N (+ 1 N))))
(/ (- (/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2)) (pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2)) (/ (- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2))) (log (/ 1 (* N (+ 1 N))))))
(/ (- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2))) (log (/ 1 (* N (+ 1 N)))))
(- (pow (log N) 2) (- 0 (pow (log (+ 1 N)) 2)))
(- (/ (pow (log N) 4) (pow (log (/ 1 (* N (+ 1 N)))) 2)) (pow (/ (log (* N (+ 1 N))) (pow (log (+ 1 N)) 2)) -2))
(/ 1/9 N)
(+ (/ 1/9 N) -4/3)
(/ (+ (* N N) -1) N)
(pow (log (+ 1 N)) 2)
(/ (pow (log (+ 1 N)) 2) (log (* N (+ 1 N))))
(pow (log N) 4)
(pow (log (/ 1 (* N (+ 1 N)))) 2)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))) (-.f64 #s(literal 0 binary64) N)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) N))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))) N)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) (-.f64 #s(literal 0 binary64) N))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))))) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))) (.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) #s(literal 1 binary64)))) N))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))) N))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))) (neg.f64 (-.f64 #s(literal 0 binary64) N)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))) #s(literal 1 binary64)) N)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))))) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))
(pow.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))) N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))) (/.f64 #s(literal 1 binary64) N))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))
(*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
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(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 N N)) #s(literal -16/9 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal 4/3 binary64))))
(/.f64 (-.f64 #s(literal 16/9 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 N N))) (-.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1/9 binary64) N)))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 N N)) (-.f64 #s(literal 16/9 binary64) (/.f64 #s(literal -4/27 binary64) N))) (+.f64 (/.f64 #s(literal 1/729 binary64) (.f64 N (*.f64 N N))) #s(literal -64/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal 4/3 binary64)) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 N N)) #s(literal -16/9 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (.f64 N (.f64 N N))) #s(literal -64/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 N N)) (-.f64 #s(literal 16/9 binary64) (/.f64 #s(literal -4/27 binary64) N)))))
(.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 N N)) #s(literal -16/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal 4/3 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64)))))
(/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 0 binary64) N))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))) (.f64 N (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 N N))))))
(/.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)) (.f64 N (+.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64)) N)
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N N)))) N))
(/.f64 (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 N N) #s(literal 1 binary64)) N))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 0 binary64) N)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))) (/.f64 #s(literal 1 binary64) N)) (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 N N)))))
(/.f64 (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 N N) #s(literal 1 binary64)))
(pow.f64 (/.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N))
(.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))
(.f64 (+.f64 #s(literal 1 binary64) N) (.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (+.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 N #s(literal -1 binary64)) N))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)))
(.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (.f64 N N) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 N N) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (*.f64 N N))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) N)
(.f64 (pow.f64 (/.f64 N (+.f64 #s(literal -1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 N N))))))
(.f64 (pow.f64 (/.f64 N (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 0 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log1p.f64 N)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (log1p.f64 N))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (log1p.f64 N) (log1p.f64 N) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (log1p.f64 N))) (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(*.f64 (exp.f64 (log.f64 (log1p.f64 N))) (exp.f64 (log.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))
(pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (log1p.f64 N) (.f64 (log1p.f64 N) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(.f64 (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (log.f64 N))))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) (.f64 #s(literal 2 binary64) (log.f64 (log.f64 N)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 N)))) #s(literal 4 binary64)))
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 4 binary64))
(.f64 (log.f64 N) (.f64 (log.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 N)) (log.f64 N))
(*.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))) #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))))
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal 1 binary64)))

simplify381.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3900×	`-lowering-.f32`
3900×	`-lowering-.f64`
3388×	`+-lowering-+.f64`
3388×	`+-lowering-+.f32`
1978×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1207	13199
1	4359	11669
0	8222	11669

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(/ 1 N)
(/ (+ 1 (* 9 N)) N)
(/ (+ 1 (* N (+ 9 (* 108 N)))) N)
(/ (+ 1 (* N (+ 9 (* N (+ 108 (* 1458 N)))))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 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 (* 9 N))
(+ 1 (* N (+ 9 (* 108 N))))
(+ 1 (* N (+ 9 (* N (+ 108 (* 1458 N))))))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
1
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* 9 N)
(* N (+ 9 (* 108 N)))
(* N (+ 9 (* N (+ 108 (* 1458 N)))))
(* N (+ 9 (* N (+ 108 (* N (+ 1458 (* 19440 N)))))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (+ (* 1/3 (/ 1 N)) (* 5/27 (/ 1 (pow N 3)))) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
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(/ (pow N 2) (log N))
(* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* -1/2 (log (/ 1 N)))
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(- (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 1 (pow N 3))))))
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(pow (log (/ 1 N)) 4)
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Outputs
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(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 (* 9 N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 9 binary64))) N)
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(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
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(- (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 1 (pow N 3))))))
(-.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (.f64 (log.f64 N) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 (.f64 N N) (-.f64 #s(literal 0 binary64) (log.f64 N))))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (.f64 (.f64 N (.f64 N N)) (-.f64 #s(literal 0 binary64) (log.f64 N)))) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 N N)) (/.f64 #s(literal 3/4 binary64) N)) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 N N) (-.f64 #s(literal 0 binary64) (log.f64 N))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))))) (.f64 (.f64 N (.f64 N N)) (-.f64 #s(literal 0 binary64) (log.f64 N)))))) (+.f64 (/.f64 (/.f64 #s(literal 3/16 binary64) (.f64 N (.f64 N N))) (-.f64 #s(literal 0 binary64) (log.f64 N))) (/.f64 #s(literal 1/12 binary64) (.f64 N (*.f64 N N)))))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (* -1 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) N))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) N)) (/ (log -1) (log (/ -1 N)))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) N))))) N)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))) N))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) N)) (/ (log -1) (log (/ -1 N)))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) #s(literal -1/12 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (log.f64 (/.f64 #s(literal -1 binary64) N))))) N)) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) #s(literal -1/8 binary64)))) N)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))) N))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow (log (/ 1 N)) 4)
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal 4 binary64))
(pow (log (/ 1 N)) 4)
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal 4 binary64))
(pow (log (/ 1 N)) 4)
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal 4 binary64))
(pow (log (/ 1 N)) 4)
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 N (log.f64 N))))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N (+.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) (*.f64 N (-.f64 #s(literal 1 binary64) (log.f64 N))))))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N (+.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) (.f64 N (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 N (+.f64 (*.f64 (log.f64 N) #s(literal 2/3 binary64)) #s(literal -1 binary64))))))))
(* 4 (pow (log (/ 1 N)) 2))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 4 binary64))
(+ (* -4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))
(+.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) N))
(+ (* -4 (/ (log (/ 1 N)) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))
(+.f64 (/.f64 (.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) N) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (log.f64 N)) (.f64 N N)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(- (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))) (/ 1 (pow N 3)))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) N) (/.f64 (.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 N (.f64 N N)))) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (log.f64 N)) (.f64 N N)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))
(* 4 (pow (log (/ -1 N)) 2))
(*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)) #s(literal 4 binary64))
(+ (* -4 (/ (log (/ -1 N)) N)) (* 4 (pow (log (/ -1 N)) 2)))
(+.f64 (.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) N))
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 2 (log (/ -1 N)))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(-.f64 (.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N))
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 4/3 (log (/ -1 N)))) N)) (* 2 (log (/ -1 N))))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(-.f64 (.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N))) N)) N))

eval228.0ms (1.6%)

Compiler: Compiled 67608 to 4244 computations (93.7% saved)

prune472.0ms (3.3%)

Pruning

74 alts after pruning (63 fresh and 11 done)

	Pruned	Kept	Total
New	1273	27	1300
Fresh	5	36	41
Picked	2	3	5
Done	1	8	9
Total	1281	74	1355

Accuracy

99.7%

Counts

1355 → 74

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 9/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9/2 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))))) (neg.f64 (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))))
	29.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	28.6%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 N)))
	29.4%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (/.f64 (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) 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))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (neg.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) 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))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	29.5%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	29.5%	(fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (neg.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) 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))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	28.6%	(fma.f64 (-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (.f64 N (+.f64 N #s(literal -1 binary64))))) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
	29.0%	(fma.f64 (-.f64 (log.f64 (+.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 #s(literal 2 binary64) (log.f64 N))) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	28.6%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (.f64 N (.f64 N N))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	27.6%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
	28.0%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
	27.8%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (.f64 (log.f64 N) (.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	27.4%	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (neg.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	27.7%	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	27.7%	(fma.f64 (log.f64 N) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	29.7%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	29.1%	(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	28.3%	(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))))) (-.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	94.9%	(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (*.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) #s(literal 1 binary64))) N)
	94.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (*.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))))) N)
	94.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (*.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))))))) N)
	28.1%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) #s(literal 3/2 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
✓	28.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	28.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 9/2 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (exp.f64 (.f64 #s(literal 6 binary64) (log.f64 (log.f64 N)))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	28.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (exp.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 9 binary64)))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	27.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	27.4%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	27.4%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
	27.4%	(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))
	28.7%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))))))
	25.2%	(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	25.2%	(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	24.4%	(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64))) (-.f64 (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 N N))) (log.f64 N)) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (.f64 (.f64 N (.f64 N N)) (-.f64 #s(literal 0 binary64) (log.f64 N)))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 N (.f64 N N))) (-.f64 #s(literal 0 binary64) (log.f64 N))) (/.f64 #s(literal 1/6 binary64) (.f64 N (.f64 N N)))))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) (-.f64 #s(literal 0 binary64) (log.f64 N))))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N)))))) (.f64 (.f64 N (*.f64 N N)) (-.f64 #s(literal 0 binary64) (log.f64 N)))))))
	28.5%	(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64))) (neg.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	92.2%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
	92.2%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
✓	89.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	27.4%	(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64))) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	88.8%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	94.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
	95.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 N (+.f64 (.f64 N #s(literal -2 binary64)) #s(literal -4/3 binary64)))) N))) N)
	93.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N)))))) N)
	95.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)) N)))) N)
	95.0%	(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 5/27 binary64) N)) N)) N)) N))) N)
	94.9%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))
	27.5%	(/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 9/2 binary64)) (pow.f64 (log.f64 N) #s(literal 9/2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9/2 binary64)) (pow.f64 (log.f64 N) #s(literal 9/2 binary64)))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	30.5%	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
	81.1%	(/.f64 N (*.f64 N N))
	28.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))))) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))))
	89.1%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1/2 binary64))))
	30.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 (.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))))
	89.2%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
✓	81.4%	(/.f64 #s(literal 1 binary64) N)
	27.4%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
	89.1%	(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
	27.4%	(-.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))))) (log.f64 (+.f64 N #s(literal -1 binary64))))
✓	27.5%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	27.5%	(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	29.4%	(+.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (/.f64 (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) 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))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (neg.f64 (.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))) (fma.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
	29.4%	(+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (neg.f64 (.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))) (fma.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
	30.8%	(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
	89.1%	(*.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N))
	94.6%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
	94.7%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
	88.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
	30.5%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
	94.1%	(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
	28.0%	(neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal -2 binary64))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) 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))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	31.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	30.4%	(log.f64 (/.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))
✓	30.5%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	30.5%	(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
	30.5%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
	3.3%	#s(literal 0 binary64)

Compiler

Compiled 7186 to 1878 computations (73.9% saved)

regimes73.0ms (0.5%)

Counts

105 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N)))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 N (+.f64 (.f64 N #s(literal -2 binary64)) #s(literal -4/3 binary64)))) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)) N)))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) N)
(/.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 5/27 binary64) N)) N)) N)) N))) N)
(/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))) N)
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))) N)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))))) N)
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (*.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) #s(literal 1 binary64))) N)
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(/.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -8 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 N (.f64 N N))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 7 binary64))) N) (.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 7 binary64)) (.f64 N (.f64 N N))))) (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) #s(literal 16 binary64)))) (.f64 N (.f64 N N))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 8 binary64))) N) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 8 binary64)) (.f64 N (.f64 N N)))) (/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 8 binary64))) (.f64 N N))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -2/3 binary64)) #s(literal -1 binary64)))))) (.f64 N (.f64 N N))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 N N))) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 7 binary64))) (.f64 N N)) (+.f64 (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 8 binary64))) (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) #s(literal 16 binary64)) (.f64 N N))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 8 binary64)))))))) (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) #s(literal 16 binary64)))) N)) (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (+.f64 (.f64 (.f64 #s(literal -8 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -2/3 binary64)) #s(literal -1 binary64)))))))) (.f64 N N))) (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (+.f64 (.f64 (.f64 #s(literal -8 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -4 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 11/12 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 2 binary64))))) (pow.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))))) (.f64 N (.f64 N N)))))) N) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))

Outputs

(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 5/27 binary64) N)) N)) N)) N))) N)

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

Calls

2 calls:

39.0ms	N
22.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.3%	2	`N`
99.3%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes71.0ms (0.5%)

Counts

39 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N)))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 N (+.f64 (.f64 N #s(literal -2 binary64)) #s(literal -4/3 binary64)))) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)) N)))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) N)
(/.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 5/27 binary64) N)) N)) N)) N))) N)
(/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))) N)
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))) N)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))))) N)
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (*.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) #s(literal 1 binary64))) N)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (*.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))))) N)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))))) N)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))))) N)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (*.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))))))) N)
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))

Outputs

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

(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 5/27 binary64) N)) N)) N)) N))) N)

Calls

1 calls:

66.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts

37 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N)))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 N (+.f64 (.f64 N #s(literal -2 binary64)) #s(literal -4/3 binary64)))) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)) N)))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) N)
(/.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 5/27 binary64) N)) N)) N)) N))) N)
(/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))) N)
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))) N)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))))) N)
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (*.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) #s(literal 1 binary64))) N)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (*.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)))))))) N)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))))) N)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))))) N)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))) (neg.f64 (*.f64 N (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N))))))))) N)

Outputs

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
95.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes46.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N)))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 N (+.f64 (.f64 N #s(literal -2 binary64)) #s(literal -4/3 binary64)))) N))) N)

Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 N (+.f64 (.f64 N #s(literal -2 binary64)) #s(literal -4/3 binary64)))) N))) N)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
95.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N)))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) N)

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
94.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts

19 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N)))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
94.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

16 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N)))))) N)

Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N)))))) N)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
93.2%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
92.2%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes52.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1/2 binary64))))

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

Calls

1 calls:

51.0ms

Results

Accuracy	Segments	Branch
89.2%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
89.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
81.4%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
3.3%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0010129301174401917	0.0012582345184002364

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch4.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	689.9514497382524	794.2645032027892

Results

2.0ms

32×

valid

Compiler

Compiled 74 to 57 computations (23% saved)

Precisions

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

ival-log: 1.0ms (97.9% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

506×	`distribute-lft-neg-in_binary64`
380×	`cancel-sign-sub_binary64`
366×	`neg-mul-1_binary64`
306×	`unsub-neg_binary64`
302×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	179
1	137	176
2	198	175
3	269	175
4	392	175
5	689	175
6	1049	175
7	1380	175
8	1692	175
9	1897	175
10	1961	175
11	1964	175

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/4611686018427387904 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 5/27 binary64) N)) N)) N)) N))) N) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 750 binary64)) (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 5/27 binary64) N)) N)) N)) N))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)) N)))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 N (+.f64 (.f64 N #s(literal -2 binary64)) #s(literal -4/3 binary64)))) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N)))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) N)
#s(literal 0 binary64)

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/4611686018427387904 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 5/27 binary64) N)) N)) N)) N))) N) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/4611686018427387904 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/27 binary64) N) #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N)) N) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 750 binary64)) (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 5/27 binary64) N)) N)) N)) N))) N))
(if (<=.f64 N #s(literal 750 binary64)) (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/27 binary64) N) #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N)) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N)) N)))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) N) #s(literal -4/3 binary64)) N) #s(literal 2 binary64))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 N (+.f64 (.f64 N #s(literal -2 binary64)) #s(literal -4/3 binary64)))) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 N (+.f64 #s(literal -4/3 binary64) (.f64 N #s(literal -2 binary64))))) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N)))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) N))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) N)
#s(literal 0 binary64)

soundness2.9s (20.8%)

Rules

4096×	`-lowering-.f32`
4096×	`-lowering-.f64`
3968×	`-lowering-.f32`
3968×	`-lowering-.f64`
3900×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	580
1	280	496
2	738	478
3	2059	472
4	6708	472
0	8337	472
0	1161	16977
1	4386	15076
0	8025	15076
0	53	212
1	356	202
2	3331	201
0	8355	201
0	51	251
1	367	221
2	3361	217
0	8723	217
0	1187	16906
1	4437	14972
0	8082	14972
0	51	211
1	348	198
2	3334	198
0	8438	198
0	9	19
1	65	19
2	396	19
3	3862	19
0	8425	19
0	1207	13199
1	4359	11669
0	8222	11669

Stop Event

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

Compiler

Compiled 503 to 319 computations (36.6% saved)

preprocess82.0ms (0.6%)

Compiler: Compiled 380 to 186 computations (51.1% saved)

Iter	Nodes	Cost
0	9	24
1	15	24
2	19	24
3	26	24
4	36	24
5	68	24
6	126	24
7	213	24
8	298	24
9	404	24
10	482	24
11	488	24
0	488	24

Iter	Nodes	Cost
0	9	24
1	15	24
2	19	24
3	26	24
4	36	24
5	68	24
6	126	24
7	213	24
8	298	24
9	404	24
10	482	24
11	488	24
0	488	24

analyze0.0ms (0%)

sample1.6s (11.7%)

preprocess40.0ms (0.3%)

explain117.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.1%)

localize216.0ms (1.5%)

series56.0ms (0.4%)

rewrite309.0ms (2.2%)

simplify193.0ms (1.4%)

eval121.0ms (0.9%)

prune67.0ms (0.5%)

simplify176.0ms (1.3%)

localize909.0ms (6.4%)

series104.0ms (0.7%)

rewrite315.0ms (2.2%)

simplify392.0ms (2.8%)

eval176.0ms (1.2%)

prune208.0ms (1.5%)

simplify184.0ms (1.3%)

localize1.1s (7.9%)

series33.0ms (0.2%)

rewrite597.0ms (4.2%)

simplify420.0ms (3%)

eval161.0ms (1.1%)

prune185.0ms (1.3%)

simplify213.0ms (1.5%)

localize1.1s (8.1%)

series96.0ms (0.7%)

rewrite432.0ms (3.1%)

simplify381.0ms (2.7%)

eval228.0ms (1.6%)

prune472.0ms (3.3%)

regimes73.0ms (0.5%)

regimes71.0ms (0.5%)

regimes12.0ms (0.1%)

regimes46.0ms (0.3%)

regimes7.0ms (0.1%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes52.0ms (0.4%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch2.0ms (0%)

bsearch4.0ms (0%)

simplify72.0ms (0.5%)

soundness2.9s (20.8%)

preprocess82.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	24
1	15	24
2	19	24
3	26	24
4	36	24
5	68	24
6	126	24
7	213	24
8	298	24
9	404	24
10	482	24
11	488	24
0	488	24