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)

sample2.0s (12.4%)

Results

1.5s	7040×	1	valid
107.0ms	1216×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-log: 585.0ms (52.9% of total)

backward-pass: 161.0ms (14.5% of total)

ival-add: 115.0ms (10.4% of total)

ival-sub: 86.0ms (7.8% of total)

ival->: 67.0ms (6.1% of total)

ival-<: 45.0ms (4.1% of total)

ival-and: 31.0ms (2.8% of total)

const: 18.0ms (1.6% of total)

Bogosity

preprocess44.0ms (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)))

explain167.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
247	3	(79.29309012843477)	2	(22.223050860800157)	`(-.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

125.0ms	444×	1	valid
6.0ms	68×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-log: 34.0ms (57.2% of total)

backward-pass: 13.0ms (21.9% of total)

ival-add: 6.0ms (10.1% of total)

ival-sub: 5.0ms (8.4% of total)

const: 1.0ms (1.7% 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
▶	23.5%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(log.f64 N)
✓	cost-diff	(log1p.f64 N)
✓	cost-diff	(-.f64 (log1p.f64 N) (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	6	10
1	12	10
2	16	10
3	23	10
4	33	10
5	65	10
6	123	10
7	210	10
8	295	10
9	401	10
10	479	10
11	485	10
0	485	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize226.0ms (1.4%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	98.6%	(-.f64 (log1p.f64 N) (log.f64 N))

Results

208.0ms	228×	5	exit
2.0ms	28×	0	valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-log: 107.0ms (67.5% of total)

backward-pass: 23.0ms (14.5% of total)

compiled-spec: 18.0ms (11.4% of total)

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

ival-add: 3.0ms (1.9% of total)

const: 1.0ms (0.6% of total)

series54.0ms (0.3%)

Counts

3 → 36

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	N	@	0	(log N)
17.0ms	N	@	-inf	(log N)
10.0ms	N	@	inf	(log N)
0.0ms	N	@	-inf	(- (log (+ 1 N)) (log N))
0.0ms	N	@	inf	(- (log (+ 1 N)) (log N))

rewrite334.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3344×	`fma-lowering-fma.f32`
3344×	`fma-lowering-fma.f64`
2026×	`+-lowering-+.f64`
2026×	`+-lowering-+.f32`
1866×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	39	9
2	291	9
3	2813	9
0	8195	9

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 241

Calls

Call 1

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

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

simplify185.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1988×	`--lowering--.f32`
1988×	`--lowering--.f64`
1932×	`fnmsub-define`
1572×	`+-lowering-+.f64`
1572×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	307
1	270	255
2	723	246
3	2038	243
4	6670	243
0	8302	243

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

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))))
(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))))

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

eval41.0ms (0.3%)

Compiler: Compiled 10807 to 869 computations (92% saved)

prune69.0ms (0.4%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	246	31	277
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	246	32	278

Accuracy

99.7%

Counts

278 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(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 #s(literal 1 binary64) N)))))) (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 #s(literal 1 binary64) N))))))))
	25.1%	(fma.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)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	23.3%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	23.5%	(/.f64 (-.f64 (pow.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 #s(literal 1 binary64) N)))))) #s(literal 3 binary64)) (pow.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 #s(literal 1 binary64) N)))))) #s(literal 3 binary64))) (+.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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))) (+.f64 (.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 #s(literal 1 binary64) N)))))) (/.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 #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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))))))
	23.5%	(/.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 #s(literal 1 binary64) N))))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))))
	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
	23.6%	(/.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))))))
	23.4%	(/.f64 (-.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)))))
▶	23.3%	(/.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)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	23.5%	(/.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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))) (.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 #s(literal 1 binary64) N)))))) (/.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 #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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))))
	92.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
▶	96.3%	(/.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 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
▶	84.5%	(/.f64 #s(literal 1 binary64) N)
✓	23.5%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	25.2%	(+.f64 (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 #s(literal 1 binary64) N)))))) (neg.f64 (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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))))))) (log.f64 N) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N))))
	25.1%	(+.f64 (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 #s(literal 1 binary64) N)))))) (neg.f64 (.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N))))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))))
	25.3%	(+.f64 (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 #s(literal 1 binary64) N)))))) (neg.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))))))
	25.3%	(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 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))))) (neg.f64 (.f64 (/.f64 #s(literal 1 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)))))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 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))))))) (pow.f64 (log.f64 N) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 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)))))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	25.5%	(+.f64 (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 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N))))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))))
	25.4%	(+.f64 (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 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (.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 (log.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))))))) (fma.f64 (neg.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 (log.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (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 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)))))))
	21.7%	(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (neg.f64 (.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N)))) (fma.f64 (neg.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 N) (.f64 (/.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N))))
	21.8%	(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (neg.f64 (.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 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))))) (fma.f64 (neg.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 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.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 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))))
	23.3%	(+.f64 (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N)))) (fma.f64 (neg.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 N) (.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N))))
	25.6%	(+.f64 (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	23.6%	(.f64 (/.f64 #s(literal 1 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)))))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
	26.5%	(.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
▶	26.5%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	25.7%	(neg.f64 (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))))))
	26.5%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	25.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	25.9%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))

Compiler

Compiled 3506 to 1058 computations (69.8% saved)

simplify183.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 (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 #s(literal 1 binary64) N)))))) (neg.f64 (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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))))))) (log.f64 N) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N))))
✓	cost-diff	6528	(.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N))
✓	cost-diff	12928	(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 #s(literal 1 binary64) N)))))) (neg.f64 (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N))))
✓	cost-diff	91392	(fma.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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))))))) (log.f64 N) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N)))
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	6784	(-.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))))
✓	cost-diff	13568	(/.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)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	cost-diff	0	(*.f64 N (+.f64 #s(literal 1 binary64) N))
✓	cost-diff	0	(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	cost-diff	0	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	13568	(/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	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

2290×	`-lowering-.f32`
2290×	`-lowering-.f64`
1986×	`sum5-define`
1814×	`sum3-define`
1684×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	651
1	123	484
2	344	392
3	1142	384
4	4421	384
0	8114	384

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

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

localize1.4s (8.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N)))
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	100.0%	(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(*.f64 N (+.f64 #s(literal 1 binary64) N))
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	100.0%	(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(*.f64 N (+.f64 #s(literal 1 binary64) N))
✓	accuracy	100.0%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	100.0%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	100.0%	(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(/.f64 #s(literal 1/4 binary64) N)
✓	accuracy	100.0%	(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
✓	accuracy	100.0%	(+.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))
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))

Results

1.2s

256×

exit

Compiler

Compiled 614 to 42 computations (93.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 774.0ms

ival-log: 275.0ms (35.5% of total)

backward-pass: 180.0ms (23.3% of total)

ival-div: 76.0ms (9.8% of total)

ival-mult: 73.0ms (9.4% of total)

compiled-spec: 70.0ms (9% of total)

ival-add: 37.0ms (4.8% of total)

ival-pow: 27.0ms (3.5% of total)

ival-neg: 15.0ms (1.9% of total)

...c/correct-round.rkt:119:19: 11.0ms (1.4% of total)

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

const: 3.0ms (0.4% of total)

series292.0ms (1.9%)

Counts

24 → 288

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

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

Calls

72 calls:

Time	Variable		Point	Expression
107.0ms	N	@	inf	(+ (* (neg (/ (pow (log N) 2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))) (log N)) (* (/ (pow (log N) 2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N)))))) (log N)))
93.0ms	N	@	-inf	(+ (* (neg (/ (pow (log N) 2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))) (log N)) (* (/ (pow (log N) 2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N)))))) (log N)))
30.0ms	N	@	-inf	(+ (* (pow (log (+ 1 N)) 2) (/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))) (neg (* (/ (pow (log N) 2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N)))))) (log N))))
17.0ms	N	@	inf	(+ (* (pow (log (+ 1 N)) 2) (/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))) (neg (* (/ (pow (log N) 2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N)))))) (log N))))
4.0ms	N	@	-inf	(/ (- (* (pow (log (+ 1 N)) 2) (log (* N (+ 1 N)))) (* (log (* N (+ 1 N))) (pow (log N) 2))) (* (log (* N (+ 1 N))) (log (* N (+ 1 N)))))

rewrite330.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3000×	`-lowering-.f32`
3000×	`-lowering-.f64`
1522×	`pow-lowering-pow.f64`
1522×	`pow-lowering-pow.f32`
1424×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	354
1	312	260
2	3029	259
0	8173	259

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 594

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

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

simplify412.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4196×	`-lowering-.f32`
4196×	`-lowering-.f64`
3552×	`+-lowering-+.f64`
3552×	`+-lowering-+.f32`
1930×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1203	16407
1	4461	14209
0	8237	14209

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))
(/ -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)
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(pow (log N) 2)
(+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2))
(* 2 (/ (log (/ 1 N)) N))
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)
(* 2 (/ (log (/ -1 N)) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))
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(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (pow (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) 2)) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 3))) (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 3))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (pow (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) 2)) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 3))) (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (* (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) N)) (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) N)) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))

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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.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 (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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.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 (neg.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 (neg.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 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 (neg.f64 (+.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 (neg.f64 (+.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)
(log N)
(log.f64 N)
(+ (log N) (* -1 N))
(-.f64 (log.f64 N) N)
(+ (log N) (* N (- (* 1/2 N) 1)))
(+.f64 (log.f64 N) (.f64 N (+.f64 (.f64 N #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(+.f64 (log.f64 N) (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 1/2 binary64) (*.f64 N #s(literal -1/3 binary64)))) #s(literal -1 binary64))))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))) N)
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(-.f64 #s(literal 0 binary64) (/.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 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(-.f64 #s(literal 0 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))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 N #s(literal 0 binary64)))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))
(+.f64 (*.f64 N (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2))
(+.f64 (.f64 N (+.f64 #s(literal 0 binary64) (.f64 N (+.f64 (+.f64 #s(literal 0 binary64) N) #s(literal -1 binary64))))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(* 2 (/ (log (/ 1 N)) N))
(/.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N)
(/.f64 (+.f64 (/.f64 (log.f64 N) N) (-.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) N))) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N)
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 N) N) (/.f64 (neg.f64 (.f64 (log.f64 N) #s(literal 2/3 binary64))) (.f64 N N))) (+.f64 (neg.f64 (.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 #s(literal 1 binary64) N)) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 N) N) (/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (log.f64 N))) (.f64 N (.f64 N N)))) (+.f64 (/.f64 (neg.f64 (.f64 (log.f64 N) #s(literal 2/3 binary64))) (.f64 N N)) (+.f64 (neg.f64 (.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 11/12 binary64) (.f64 N (*.f64 N N))))) N)
(* 2 (/ (log (/ -1 N)) N))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) N)
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) N)) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2/3 binary64)) #s(literal -1 binary64)) N)) #s(literal -1 binary64)) N)) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -11/12 binary64)) N)) #s(literal -1 binary64)) N)) #s(literal -1 binary64)) N)) N))
(log N)
(log.f64 N)
(+ N (log N))
(+.f64 N (log.f64 N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+.f64 (log.f64 N) (.f64 N (+.f64 (.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(+.f64 (log.f64 N) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (*.f64 N #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(* -2 (log (/ 1 N)))
(neg.f64 (*.f64 (log.f64 N) #s(literal -2 binary64)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(+.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (*.f64 (log.f64 N) #s(literal -2 binary64))))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
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(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64))) (pow.f64 (+.f64 (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 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64)))) (pow.f64 (+.f64 (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 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (+.f64 (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 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) (-.f64 (/.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64)))) (pow.f64 (+.f64 (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 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (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 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.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)) (.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64))) (/.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64))) (pow.f64 (+.f64 (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 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal 3 binary64))))) N)) (/.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (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 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal 3 binary64)))) N)) N)) (/.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)) (.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))))

eval353.0ms (2.2%)

Compiler: Compiled 149660 to 5869 computations (96.1% saved)

prune307.0ms (1.9%)

Pruning

60 alts after pruning (55 fresh and 5 done)

	Pruned	Kept	Total
New	1887	37	1924
Fresh	8	18	26
Picked	1	4	5
Done	0	1	1
Total	1896	60	1956

Accuracy

99.9%

Counts

1956 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(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 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 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)))))
	25.1%	(fma.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)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	25.0%	(fma.f64 (.f64 (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (log1p.f64 N)) (log1p.f64 N) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 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)))))
	23.3%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	23.4%	(fma.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (neg.f64 (/.f64 (.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)))))
▶	84.4%	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
	96.0%	(/.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)
	96.1%	(/.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)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (.f64 N N))))) N)
	96.1%	(/.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 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))))) N)
	24.7%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 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)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.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))) #s(literal 2 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 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 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))))))
	23.5%	(/.f64 (-.f64 (pow.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 #s(literal 1 binary64) N)))))) #s(literal 3 binary64)) (pow.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 #s(literal 1 binary64) N)))))) #s(literal 3 binary64))) (+.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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))) (+.f64 (.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 #s(literal 1 binary64) N)))))) (/.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 #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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))))))
	23.5%	(/.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 #s(literal 1 binary64) N))))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))))
▶	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
	23.6%	(/.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 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))
	23.4%	(/.f64 (-.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)))))
	95.0%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
	96.2%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
	23.3%	(/.f64 (-.f64 (.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N 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)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	23.3%	(/.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)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	23.3%	(/.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)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (exp.f64 (.f64 (log.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))))
	24.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (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))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
	23.5%	(/.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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))) (.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 #s(literal 1 binary64) N)))))) (/.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 #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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))))
	95.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	92.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	95.7%	(/.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)))
	84.5%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 N N)) N)) N)
✓	96.3%	(/.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)
	96.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 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))))))
	96.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))) (/.f64 #s(literal 1 binary64) 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)))))
▶	96.2%	(/.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))))
✓	84.5%	(/.f64 #s(literal 1 binary64) N)
	26.5%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	23.5%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.1%	(+.f64 (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 #s(literal 1 binary64) N)))))) (neg.f64 (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N)))) (fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 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)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 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))))))
	25.5%	(+.f64 (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 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N))))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))))
	25.4%	(+.f64 (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 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (.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 (log.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))))))) (fma.f64 (neg.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 (log.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (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 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)))))))
	21.8%	(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (neg.f64 (.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 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))))) (fma.f64 (neg.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 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.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 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))))
	24.5%	(+.f64 (fma.f64 (.f64 (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (log1p.f64 N)) (log1p.f64 N) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 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))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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))))))) (log.f64 N) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N))))
	23.3%	(+.f64 (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N)))) (fma.f64 (neg.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 N) (.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N))))
	25.6%	(+.f64 (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	23.6%	(.f64 (/.f64 #s(literal 1 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)))))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
	96.1%	(*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.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)))
	96.2%	(*.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)))
	26.5%	(.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	96.2%	(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))) N))
	26.5%	(neg.f64 (/.f64 (+.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log1p.f64 N))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	26.5%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	26.5%	(neg.f64 (/.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	23.5%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (neg.f64 (.f64 (log.f64 N) #s(literal -2 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1/2 binary64) (.f64 N N))))))
✓	26.5%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	26.5%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (exp.f64 (.f64 (log.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))))
	26.5%	(neg.f64 (/.f64 (.f64 (exp.f64 (.f64 (log.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
▶	26.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))
	26.5%	(neg.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))
	25.7%	(neg.f64 (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))))))
	26.5%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	25.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	91.6%	(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)))
	25.9%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
▶	3.3%	#s(literal 0 binary64)

Compiler

Compiled 4758 to 1822 computations (61.7% saved)

simplify236.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
✓	cost-diff	0	(log.f64 (*.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	6592	(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))
✓	cost-diff	13696	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 N N)
✓	cost-diff	0	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
✓	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 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)))
✓	cost-diff	128	(/.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))))

Rules

2292×	`fma-lowering-fma.f32`
2292×	`fma-lowering-fma.f64`
2154×	`-lowering-.f32`
2154×	`-lowering-.f64`
1792×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	382
1	98	344
2	232	343
3	596	307
4	1432	307
5	3254	307
6	6622	307
0	8058	307

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ N (+ 1 (/ (+ -1/2 (/ (- 1/3 (/ 1/4 N)) N)) N))))
1
(/ N (+ 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))
-1/2
(/ (- 1/3 (/ 1/4 N)) N)
(- 1/3 (/ 1/4 N))
1/3
(/ 1/4 N)
1/4
0
(pow (* N N) -1/2)
(* N N)
N
-1/2
(neg (* (/ 1 (log (* N (+ 1 N)))) (pow (/ 1 (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))) -1)))
(* (/ 1 (log (* N (+ 1 N)))) (pow (/ 1 (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))) -1))
(/ 1 (log (* N (+ 1 N))))
1
(log (* N (+ 1 N)))
(* N (+ 1 N))
N
(+ 1 N)
(pow (/ 1 (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))) -1)
(/ 1 (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))))
(* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))
(log (/ N (+ 1 N)))
(/ N (+ 1 N))
-1
(/ (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (* (log (* N (+ 1 N))) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log (+ 1 N)) (log N)) 2))))
(- (pow (log (+ 1 N)) 6) (pow (log N) 6))
(pow (log (+ 1 N)) 6)
(log (+ 1 N))
N
6
(pow (log N) 6)
(log N)
(* (log (* N (+ 1 N))) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log (+ 1 N)) (log N)) 2)))
(log (* N (+ 1 N)))
(* N (+ 1 N))
(+ 1 N)
1
(+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log (+ 1 N)) (log N)) 2))
(+ (pow (log (+ 1 N)) 4) (pow (log N) 4))
(pow (log (+ 1 N)) 4)
4
(pow (log N) 4)
(pow (* (log (+ 1 N)) (log N)) 2)
(* (log (+ 1 N)) (log N))
2

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

localize1.1s (7.2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(pow.f64 (log.f64 N) #s(literal 4 binary64))
✓	accuracy	99.8%	(pow.f64 (log.f64 N) #s(literal 6 binary64))
✓	accuracy	99.8%	(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
✓	accuracy	99.2%	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
✓	accuracy	99.9%	(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.9%	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.3%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	100.0%	(*.f64 N N)
✓	accuracy	100.0%	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.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)))
✓	accuracy	100.0%	(/.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 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))))
✓	accuracy	99.9%	(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))

Results

1.0s	231×	5	exit
16.0ms	25×	0	valid

Compiler

Compiled 376 to 45 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 568.0ms

backward-pass: 209.0ms (36.8% of total)

ival-log: 143.0ms (25.2% of total)

ival-pow: 85.0ms (15% of total)

ival-div: 39.0ms (6.9% of total)

ival-mult: 29.0ms (5.1% of total)

ival-add: 21.0ms (3.7% of total)

compiled-spec: 19.0ms (3.3% of total)

...c/correct-round.rkt:119:19: 10.0ms (1.8% of total)

ival-sub: 8.0ms (1.4% of total)

const: 3.0ms (0.5% of total)

ival-neg: 2.0ms (0.4% of total)

series38.0ms (0.2%)

Counts

20 → 240

Calls

Call 1

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

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 (* -4 (pow N 4))>
#<alt (* (pow N 4) (- (* -16/3 N) 4))>
#<alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))>
#<alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<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 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 (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 N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt (pow (log N) 2)>
#<alt (+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2))>
#<alt (* 2 (/ (log (/ 1 N)) N))>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)>
#<alt (* 2 (/ (log (/ -1 N)) N))>
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))>
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))>
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N))>
#<alt (/ 1 (log N))>
#<alt (+ (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))>
#<alt (+ (* N (- (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (+ (* N (- (* N (+ (* -1 (* N (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (pow (log N) 4)))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
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#<alt (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -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 2))) (+ (* -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))))) 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 2))) (/ (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2) N))))) N)>
#<alt (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -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 2))) (+ (* -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))))) N)) (+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (- (+ (* -4/3 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N)))))) (+ (* -1/2 (+ 1 (log (/ 1 N)))) (* -1/4 (pow (log (/ 1 N)) 2))))) 1)) (pow N 3))) (+ (* 2 (/ (* (+ 1 (+ (* -1 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N)))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow N 3))) (+ (* 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 2))) (+ (/ (pow (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))) 2) (pow N 3)) (/ (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2) N)))))))) N)>
#<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))>
#<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))>
#<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))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (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))))))))) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))))) (pow (+ (* -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))) N)) (+ (* 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))>
#<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))>
#<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 (/ -1/4 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 (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt (pow (log N) 2)>
#<alt (+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2))>
#<alt (* 2 (/ (log (/ 1 N)) N))>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)>
#<alt (* 2 (/ (log (/ -1 N)) N))>
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))>
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))>
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) 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 (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)>

Calls

60 calls:

Time	Variable		Point	Expression
9.0ms	N	@	-inf	(/ (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (* (log (* N (+ 1 N))) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log (+ 1 N)) (log N)) 2))))
7.0ms	N	@	inf	(/ (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (* (log (* N (+ 1 N))) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log (+ 1 N)) (log N)) 2))))
3.0ms	N	@	0	(pow (log N) 6)
1.0ms	N	@	0	(/ (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (* (log (* N (+ 1 N))) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log (+ 1 N)) (log N)) 2))))
1.0ms	N	@	inf	(- (pow (log (+ 1 N)) 6) (pow (log N) 6))

rewrite321.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

4366×	`-lowering-.f32`
4366×	`-lowering-.f64`
2438×	`/-lowering-/.f32`
2438×	`/-lowering-/.f64`
2326×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	193
1	274	179
2	2308	179
0	9454	179

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 495

Calls

Call 1

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

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

simplify364.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

5858×	`-lowering-.f32`
5858×	`-lowering-.f64`
4384×	`+-lowering-+.f64`
4384×	`+-lowering-+.f32`
1528×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	823	8786
1	3085	7670
0	8410	7670

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(/ -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 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ -1 N)
(/ -1 N)
(/ -1 N)
(/ -1 N)
(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 N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(pow (log N) 2)
(+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2))
(* 2 (/ (log (/ 1 N)) N))
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)
(* 2 (/ (log (/ -1 N)) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N))
(/ 1 (log N))
(+ (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))
(+ (* N (- (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(+ (* N (- (* N (+ (* -1 (* N (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (pow (log N) 4)))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(/ -1/2 (log (/ 1 N)))
(* -1 (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2))))))
(- (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))
(- (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))))
(/ -1/2 (log (/ -1 N)))
(* -1 (+ (* 1/2 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ -1 N)) 2))))))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/16 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))))) N)) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (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 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))) (log N))) (+ (* -1 (/ (+ (* -1 (pow (log N) 3)) (+ (* 1/3 (pow (log N) 4)) (pow (log N) 2))) (pow (log N) 4))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))))))))
(/ (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))))
(/ (- (+ (* -1/2 (/ (+ (* -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 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* N (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)))))) (/ (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)))) (* -1/2 (/ (* (log (/ 1 N)) (* (+ (* -2 (* (log (/ 1 N)) (+ (* -4 (pow (log (/ 1 N)) 3)) (* -2 (pow (log (/ 1 N)) 3))))) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)) 2))))) N)
(/ (- (+ (* -1/2 (/ (+ (* -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)))))))) (* 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 2) (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)))))) (+ (* -1/2 (/ (+ (* -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 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* N (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)))))) (/ (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))))) (+ (* -1/2 (/ (* (log (/ 1 N)) (* (+ (* -4 (pow (log (/ 1 N)) 3)) (+ (* -2 (* (log (/ 1 N)) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (+ (* 4 (pow (log (/ 1 N)) 2)) (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))))))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* -1/2 (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)) 2)))) (+ (* -1/2 (/ (* (log (/ 1 N)) (* (+ (* -2 (* (log (/ 1 N)) (+ (* -4 (pow (log (/ 1 N)) 3)) (* -2 (pow (log (/ 1 N)) 3))))) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)) 2)))) (* -1/2 (/ (* (+ (* -2 (* (log (/ 1 N)) (+ (* -4 (pow (log (/ 1 N)) 3)) (* -2 (pow (log (/ 1 N)) 3))))) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))) (- (* -1/2 (/ (+ (* -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 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))))) (* -1/2 (/ (* (log (/ 1 N)) (* (+ (* -2 (* (log (/ 1 N)) (+ (* -4 (pow (log (/ 1 N)) 3)) (* -2 (pow (log (/ 1 N)) 3))))) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (pow (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)) 2))))) (* (pow N 2) (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))))))))) N)
(/ (- (+ (* -1/2 (/ (+ (* -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)))))))) (* 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 2) (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)))))) (+ (* -1/2 (/ (+ (* -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 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* N (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)))))) (+ (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (- (+ (* -4/3 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N)))))) (+ (* -1/2 (+ 1 (log (/ 1 N)))) (* -1/4 (pow (log (/ 1 N)) 2))))) 1))) (+ (* 2 (* (+ 1 (+ (* -1 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N)))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (pow (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))) 2))) (* (pow N 3) (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)))))) (/ (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)))))) (+ (* -1/2 (/ (* (log (/ 1 N)) (* (+ (* -4 (pow (log (/ 1 N)) 3)) (+ (* -2 (* (log (/ 1 N)) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (+ (* 4 (pow (log (/ 1 N)) 2)) (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))))))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* -1/2 (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)) 2)))) (+ (* -1/2 (/ (* (log (/ 1 N)) (* (+ (* -2 (* (log (/ 1 N)) (+ (* -4 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* 2 (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1))) (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)))))) (+ (* -1/2 (+ (* -4 (pow (log (/ 1 N)) 3)) (* -2 (pow (log (/ 1 N)) 3)))) (+ (* 1/3 (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (+ (* 4 (pow (log (/ 1 N)) 2)) (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)) 2)))) (+ (* -1/2 (/ (* (log (/ 1 N)) (* (+ (* -2 (* (log (/ 1 N)) (+ (* -4 (pow (log (/ 1 N)) 3)) (* -2 (pow (log (/ 1 N)) 3))))) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)) 2)))) (+ (* -1/2 (/ (* (+ (* -4 (pow (log (/ 1 N)) 3)) (+ (* -2 (* (log (/ 1 N)) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 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(* 2 (/ (log (/ -1 N)) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N))
(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)
(pow (log N) 4)
(pow (log N) 4)
(pow (log N) 4)
(pow (log N) 4)
(pow (log (/ 1 N)) 4)
(pow (log (/ 1 N)) 4)
(pow (log (/ 1 N)) 4)
(pow (log (/ 1 N)) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)

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 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (+.f64 (/.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 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(* -4 (pow N 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -4 binary64))
(* (pow N 4) (- (* -16/3 N) 4))
(.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 (.f64 N #s(literal -16/3 binary64)) #s(literal -4 binary64)))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 (.f64 N (+.f64 (*.f64 N #s(literal 8/9 binary64)) #s(literal -16/3 binary64))) #s(literal -4 binary64)))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 8/9 binary64) (.f64 N #s(literal -112/27 binary64)))) #s(literal -16/3 binary64))) #s(literal -4 binary64)))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 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 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (+.f64 (/.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 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 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)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 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)) (-.f64 #s(literal 0 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 N)
(/.f64 #s(literal -1 binary64) N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(log N)
(log.f64 N)
(+ (log N) (* -1 N))
(-.f64 (log.f64 N) N)
(+ (log N) (* N (- (* 1/2 N) 1)))
(+.f64 (log.f64 N) (.f64 N (+.f64 (.f64 N #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(+.f64 (log.f64 N) (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 1/2 binary64) (*.f64 N #s(literal -1/3 binary64)))) #s(literal -1 binary64))))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N)
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 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)) (-.f64 #s(literal 0 binary64) N))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 N #s(literal 0 binary64)))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))
(+.f64 (*.f64 N (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2))
(+.f64 (.f64 N (+.f64 #s(literal 0 binary64) (.f64 N (+.f64 (+.f64 #s(literal 0 binary64) N) #s(literal -1 binary64))))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(* 2 (/ (log (/ 1 N)) N))
(/.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N)
(/.f64 (+.f64 (/.f64 (log.f64 N) N) (+.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) N))) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N)
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (log.f64 N) N) (.f64 (/.f64 #s(literal 2/3 binary64) N) (neg.f64 (/.f64 (log.f64 N) N)))) (+.f64 (neg.f64 (.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (/.f64 #s(literal -1 binary64) N)) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 N) N) (/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (log.f64 N))) (.f64 N (.f64 N N)))) (+.f64 (.f64 (/.f64 #s(literal 2/3 binary64) N) (neg.f64 (/.f64 (log.f64 N) N))) (+.f64 (neg.f64 (.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 11/12 binary64) (.f64 N (.f64 N N))))) N)
(* 2 (/ (log (/ -1 N)) N))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) N)
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2/3 binary64)) #s(literal -1 binary64)) N)) #s(literal -1 binary64)) N)) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -11/12 binary64)) N)) #s(literal -1 binary64)) N)) #s(literal -1 binary64)) N)) N))
(/ 1 (log N))
(/.f64 #s(literal 1 binary64) (log.f64 N))
(+ (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(+ (* N (- (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 N (+.f64 (.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(+ (* N (- (* N (+ (* -1 (* N (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (pow (log N) 4)))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 N (+.f64 (.f64 N (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 N (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(/ -1/2 (log (/ 1 N)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 N)))
(* -1 (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2))))))
(-.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N))) (/.f64 (/.f64 #s(literal 1/4 binary64) N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(- (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))
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(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))

eval120.0ms (0.8%)

Compiler: Compiled 33284 to 3529 computations (89.4% saved)

prune192.0ms (1.2%)

Pruning

68 alts after pruning (59 fresh and 9 done)

	Pruned	Kept	Total
New	834	19	853
Fresh	10	40	50
Picked	1	4	5
Done	0	5	5
Total	845	68	913

Accuracy

99.9%

Counts

913 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(fma.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)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
▶	25.0%	(fma.f64 (.f64 (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (log1p.f64 N)) (log1p.f64 N) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 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)))))
	23.3%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	23.4%	(fma.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (neg.f64 (/.f64 (.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)))))
✓	84.4%	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
	25.6%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
	96.0%	(/.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)
	96.1%	(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (+.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))))
	23.5%	(/.f64 (-.f64 (pow.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 #s(literal 1 binary64) N)))))) #s(literal 3 binary64)) (pow.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 #s(literal 1 binary64) N)))))) #s(literal 3 binary64))) (+.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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))) (+.f64 (.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 #s(literal 1 binary64) N)))))) (/.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 #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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))))))
	23.5%	(/.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 #s(literal 1 binary64) N))))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))))
	24.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 3/2 binary64))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
	21.8%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
✓	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
	23.6%	(/.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 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))
▶	23.4%	(/.f64 (-.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)))))
	23.5%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
	95.0%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
	23.3%	(/.f64 (-.f64 (.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N 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)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	23.3%	(/.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)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	23.3%	(/.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)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (exp.f64 (.f64 (log.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))))
	24.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (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))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
	23.5%	(/.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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))) (.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 #s(literal 1 binary64) N)))))) (/.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 #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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))))
	95.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
▶	92.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	95.7%	(/.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)))
✓	96.3%	(/.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)
	23.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	95.0%	(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))))
✓	96.2%	(/.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))))
	92.3%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
▶	96.6%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
	95.4%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
	96.6%	(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
	95.4%	(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
	92.9%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
✓	84.5%	(/.f64 #s(literal 1 binary64) N)
	26.5%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	23.5%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.1%	(+.f64 (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 #s(literal 1 binary64) N)))))) (neg.f64 (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N)))) (fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 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)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 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))))))
	25.5%	(+.f64 (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 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N))))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))))
	25.4%	(+.f64 (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 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (.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 (log.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))))))) (fma.f64 (neg.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 (log.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (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 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)))))))
	21.8%	(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (neg.f64 (.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 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))))) (fma.f64 (neg.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 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.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 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))))
	24.5%	(+.f64 (fma.f64 (.f64 (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (log1p.f64 N)) (log1p.f64 N) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 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))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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))))))) (log.f64 N) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N))))
	23.3%	(+.f64 (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N)))) (fma.f64 (neg.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 N) (.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N))))
	25.6%	(+.f64 (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	96.2%	(+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) N)))
	96.1%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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) N))
	23.6%	(.f64 (/.f64 #s(literal 1 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)))))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
	96.2%	(*.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)))
	26.5%	(.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	26.5%	(neg.f64 (/.f64 (+.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log1p.f64 N))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	26.5%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	26.5%	(neg.f64 (/.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	23.5%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (neg.f64 (.f64 (log.f64 N) #s(literal -2 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1/2 binary64) (.f64 N N))))))
✓	26.5%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	26.5%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (exp.f64 (.f64 (log.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))))
	26.5%	(neg.f64 (/.f64 (.f64 (exp.f64 (.f64 (log.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	26.5%	(neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	26.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))
	26.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))
	23.2%	(neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N (.f64 N N))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) (.f64 (.f64 N (.f64 N N)) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N (.f64 N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))
	26.5%	(neg.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))
	25.7%	(neg.f64 (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))))))
	26.5%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
▶	25.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	91.6%	(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)))
	25.9%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
✓	3.3%	#s(literal 0 binary64)

Compiler

Compiled 4909 to 2068 computations (57.9% saved)

simplify156.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))
✓	cost-diff	64	(.f64 (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (log1p.f64 N))
✓	cost-diff	12928	(fma.f64 (.f64 (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (log1p.f64 N)) (log1p.f64 N) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 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)))))
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	0	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
✓	cost-diff	128	(/.f64 (-.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)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) 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 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N))
✓	cost-diff	384	(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))

Rules

2416×	`sum5-define`
1946×	`sum4-define`
1778×	`-lowering-.f32`
1778×	`-lowering-.f64`
1226×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	346
1	95	312
2	219	307
3	581	302
4	1886	290
5	7040	290
0	8575	290

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)))
1
(* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))
(+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1)
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N))
(- 1/2 (/ (+ 1/12 (/ -1/24 N)) N))
1/2
(/ (+ 1/12 (/ -1/24 N)) N)
(+ 1/12 (/ -1/24 N))
1/12
(/ -1/24 N)
-1/24
N
(- 0 N)
0
-1
(/ (- 1 (/ 1/2 N)) N)
(- 1 (/ 1/2 N))
1
(/ 1/2 N)
1/2
N
(log (/ (+ 1 N) N))
(/ (+ 1 N) N)
(+ 1 N)
1
N
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ 1 (* N (+ 1 N)))))
(- (pow (log N) 2) (pow (log (+ 1 N)) 2))
(pow (log N) 2)
(log N)
N
2
(pow (log (+ 1 N)) 2)
(log (+ 1 N))
(log (/ 1 (* N (+ 1 N))))
(/ 1 (* N (+ 1 N)))
1
(* N (+ 1 N))
(+ 1 N)
(+ (* (* (/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))) (log (+ 1 N))) (log (+ 1 N))) (/ (neg (pow (log N) 3)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))))
(* (/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))) (log (+ 1 N)))
(/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N))))
(log (+ 1 N))
N
(+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))
(pow (log (+ 1 N)) 2)
2
(* (log (* N (+ 1 N))) (log N))
(log (* N (+ 1 N)))
(* N (+ 1 N))
(+ 1 N)
1
(log N)
(/ (neg (pow (log N) 3)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N))))
(neg (pow (log N) 3))
(pow (log N) 3)
3

Outputs
(/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) (+.f64 N #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))
(+.f64 (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) (+.f64 N #s(literal 1/2 binary64)))
(+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1)
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)
(- 1/2 (/ (+ 1/12 (/ -1/24 N)) N))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))
1/2
#s(literal 1/2 binary64)
(/ (+ 1/12 (/ -1/24 N)) N)
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(+ 1/12 (/ -1/24 N))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
1/12
#s(literal 1/12 binary64)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
-1/24
#s(literal -1/24 binary64)
N
(- 0 N)
(-.f64 #s(literal 0 binary64) N)
0
#s(literal 0 binary64)
-1
#s(literal -1 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 (/ (+ 1 N) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/ (+ 1 N) N)
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
N
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ 1 (* N (+ 1 N)))))
(/.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) (pow (log (+ 1 N)) 2))
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(log N)
(log.f64 N)
N
2
#s(literal 2 binary64)
(pow (log (+ 1 N)) 2)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log (+ 1 N))
(log1p.f64 N)
(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)
(+ (* (* (/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))) (log (+ 1 N))) (log (+ 1 N))) (/ (neg (pow (log N) 3)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log 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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N)))))))
(* (/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))) (log (+ 1 N)))
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 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))))))
(/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N))))
(/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log (+ 1 N))
(log1p.f64 N)
N
(+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))
(+.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))
2
#s(literal 2 binary64)
(* (log (* N (+ 1 N))) (log N))
(.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))
(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)
(log N)
(log.f64 N)
(/ (neg (pow (log N) 3)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N))))
(/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (-.f64 #s(literal 0 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)))))))
(neg (pow (log N) 3))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize1.2s (7.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (log1p.f64 N))
✓	accuracy	99.9%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	99.9%	(pow.f64 (log.f64 N) #s(literal 3 binary64))
✓	accuracy	99.0%	(fma.f64 (.f64 (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (log1p.f64 N)) (log1p.f64 N) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 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)))))
✓	accuracy	99.9%	(/.f64 (-.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)))))
✓	accuracy	99.9%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	99.9%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	99.0%	(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
✓	accuracy	99.1%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) 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	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
✓	accuracy	100.0%	(/.f64 #s(literal -1/24 binary64) N)
✓	accuracy	100.0%	(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
✓	accuracy	99.9%	(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))

Results

1.1s	230×	5	exit
16.0ms	26×	0	valid

Compiler

Compiled 361 to 43 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 621.0ms

backward-pass: 175.0ms (28.2% of total)

ival-log: 173.0ms (27.9% of total)

ival-div: 79.0ms (12.7% of total)

compiled-spec: 45.0ms (7.2% of total)

ival-pow: 36.0ms (5.8% of total)

ival-mult: 28.0ms (4.5% of total)

ival-neg: 24.0ms (3.9% of total)

ival-add: 24.0ms (3.9% of total)

ival-sub: 18.0ms (2.9% of total)

...c/correct-round.rkt:119:19: 16.0ms (2.6% of total)

const: 3.0ms (0.5% of total)

series36.0ms (0.2%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))>
#<alt (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N))>
#<alt (/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)))>
#<alt (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1)>
#<alt (/ (- 1 (/ 1/2 N)) N)>
#<alt (- 1 (/ 1/2 N))>
#<alt (/ 1/2 N)>
#<alt (log (/ (+ 1 N) N))>
#<alt (/ (+ 1 N) N)>
#<alt (+ 1 N)>
#<alt (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ 1 (* N (+ 1 N)))))>
#<alt (- (pow (log N) 2) (pow (log (+ 1 N)) 2))>
#<alt (pow (log N) 2)>
#<alt (log N)>
#<alt (+ (* (* (/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))) (log (+ 1 N))) (log (+ 1 N))) (/ (neg (pow (log N) 3)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))))>
#<alt (* (/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))) (log (+ 1 N)))>
#<alt (/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N))))>
#<alt (log (+ 1 N))>
#<alt (+ 1/12 (/ -1/24 N))>
#<alt (/ -1/24 N)>
#<alt (pow (log (+ 1 N)) 2)>
#<alt (pow (log N) 3)>

Outputs
#<alt (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ -1/24 (pow N 3))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/12 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)>
#<alt (/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))>
#<alt (* 24 (pow N 2))>
#<alt (* (pow N 2) (+ 24 (* 48 N)))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))>
#<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 (/ -1/24 (pow N 3))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)>
#<alt (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)>
#<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 N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 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 (/ (+ 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 (+ 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 (* -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 (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 (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 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 (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N))))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (log (/ -1 N)))))>
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/6 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))>
#<alt (pow (log N) 2)>
#<alt (+ (* -1 (pow N 2)) (pow (log N) 2))>
#<alt (+ (* (pow N 2) (- N 1)) (pow (log N) 2))>
#<alt (+ (* (pow N 2) (- (* N (+ 1 (* -11/12 N))) 1)) (pow (log N) 2))>
#<alt (* 2 (/ (log (/ 1 N)) N))>
#<alt (/ (- (* -1 (/ (+ 1 (log (/ 1 N))) N)) (* -2 (log (/ 1 N)))) N)>
#<alt (/ (- (/ 1 (pow N 2)) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)>
#<alt (/ (- (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (pow N 3))) (/ 1 (pow N 2))) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)>
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#<alt (+ (* -1 (/ (log (/ -1 N)) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (log -1) (* -1 (log (/ -1 N))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (/ 1/3 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (* (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (log -1) (* -1 (log (/ -1 N))))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (log -1) (* -1 (log (/ -1 N))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))))) N)) (+ (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) N)) (/ (log -1) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))>
#<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 (/ -1/24 N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt 1/12>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt 1/12>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 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 (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>

Calls

66 calls:

Time	Variable		Point	Expression
5.0ms	N	@	inf	(/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N))))
3.0ms	N	@	-inf	(/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N))))
3.0ms	N	@	-inf	(* (/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))) (log (+ 1 N)))
3.0ms	N	@	inf	(* (/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))) (log (+ 1 N)))
2.0ms	N	@	-inf	(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ 1 (* N (+ 1 N)))))

rewrite380.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2660×	`-lowering-.f32`
2660×	`-lowering-.f64`
2180×	`fma-lowering-fma.f32`
2180×	`fma-lowering-fma.f64`
2010×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	177
1	291	162
2	2663	160
0	8432	160

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 639

Calls

Call 1

Inputs
(* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N))
(/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)))
(+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1)
(/ (- 1 (/ 1/2 N)) N)
(- 1 (/ 1/2 N))
(/ 1/2 N)
(log (/ (+ 1 N) N))
(/ (+ 1 N) N)
(+ 1 N)
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ 1 (* N (+ 1 N)))))
(- (pow (log N) 2) (pow (log (+ 1 N)) 2))
(pow (log N) 2)
(log N)
(+ (* (* (/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))) (log (+ 1 N))) (log (+ 1 N))) (/ (neg (pow (log N) 3)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))))
(* (/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))) (log (+ 1 N)))
(/ (log (+ 1 N)) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N))))
(log (+ 1 N))
(+ 1/12 (/ -1/24 N))
(/ -1/24 N)
(pow (log (+ 1 N)) 2)
(pow (log N) 3)

Outputs
(+.f64 N (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(+.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)) #s(literal 0 binary64)) (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)
(+.f64 (.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(fma.f64 N #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)))
(fma.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (*.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N) N)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)))
(fma.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)) #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) N (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)))
(neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(/.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) #s(literal -1 binary64))
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(exp.f64 (.f64 (log.f64 (/.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)))))) (log1p.f64 N))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (log1p.f64 N) (-.f64 #s(literal 0 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 (-.f64 #s(literal 0 binary64) (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))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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)))))) (log1p.f64 N))))
(/.f64 #s(literal 1 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)))))) (log1p.f64 N)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.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)))))) (log1p.f64 N)) #s(literal 1 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)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (-.f64 #s(literal 0 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 (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N))) (neg.f64 (-.f64 #s(literal 0 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 (log1p.f64 N) #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)))))))
(pow.f64 (/.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)))))) (log1p.f64 N)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.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)))))) (log1p.f64 N)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 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))))))))
(.f64 (log1p.f64 N) (/.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))))))))
(.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 #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))))))) (log1p.f64 N))
(.f64 (/.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))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 N)) #s(literal -1 binary64)))
(.f64 (/.f64 (log1p.f64 N) (+.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))))))
(.f64 (/.f64 (log1p.f64 N) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 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)))))))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 (log1p.f64 (.f64 N (.f64 N N))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))))
(exp.f64 (log.f64 (log1p.f64 N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.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 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (*.f64 N (-.f64 N #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log.f64 (+.f64 (*.f64 N N) (-.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 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(log1p.f64 N)
(pow.f64 (log1p.f64 N) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))) (/.f64 (/.f64 #s(literal 1/576 binary64) (*.f64 N N)) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))))
(fma.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal 1/12 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1/24 binary64) #s(literal 1/12 binary64))
(fma.f64 (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (*.f64 N N) #s(literal 1/12 binary64))
(fma.f64 (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N N))) N #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) (/.f64 N #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/1728 binary64) (/.f64 #s(literal -1/13824 binary64) (.f64 N (.f64 N N))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 N N)))))
(/.f64 (+.f64 #s(literal 1/1728 binary64) (/.f64 #s(literal -1/13824 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1/144 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) (/.f64 N #s(literal -1/24 binary64)))))
(/.f64 (+.f64 #s(literal 1/1728 binary64) (/.f64 #s(literal -1/13824 binary64) (.f64 N (.f64 N N)))) (+.f64 (/.f64 #s(literal 1/576 binary64) (*.f64 N N)) (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal -1/288 binary64) N))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 N N))) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (/.f64 #s(literal -1/13824 binary64) (.f64 N (.f64 N N))))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) (/.f64 N #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 N N)))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))))
(/.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (*.f64 N N)) #s(literal 1/144 binary64)) (-.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/144 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) (/.f64 N #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/1728 binary64) (/.f64 #s(literal -1/13824 binary64) (.f64 N (.f64 N N))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 N N)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/1728 binary64) (/.f64 #s(literal -1/13824 binary64) (.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) (/.f64 N #s(literal -1/24 binary64))))))
(.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/576 binary64) (.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))))
(exp.f64 (*.f64 (log.f64 (/.f64 N #s(literal -1/24 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/24 binary64) N))
(/.f64 #s(literal -1/24 binary64) N)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N #s(literal -1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 N #s(literal -1/24 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 N #s(literal -1/24 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 0 binary64) N))
(pow.f64 (/.f64 N #s(literal -1/24 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 N #s(literal -1/24 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/24 binary64) N))
(*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1/24 binary64))
(.f64 (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(.f64 (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 0 binary64) (.f64 N N))) 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)))
(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 #s(literal 2 binary64)) (log.f64 (log1p.f64 N)))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 N))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (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))) (log.f64 (log.f64 N))))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 3/2 binary64)) (.f64 (log.f64 (log.f64 N)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 N)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 N))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) #s(literal 3 binary64)))

simplify399.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4302×	`-lowering-.f32`
4302×	`-lowering-.f64`
3524×	`+-lowering-+.f64`
3524×	`+-lowering-+.f32`
1990×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	889	9371
1	3290	7910
0	8617	7910

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(/ -1/24 (pow N 3))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ -1/2 N)
(/ (- (* 1/12 (/ 1 N)) 1/2) N)
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))
(* 24 (pow N 2))
(* (pow N 2) (+ 24 (* 48 N)))
(* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))
(* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))
(/ 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))
(/ -1/24 (pow N 3))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))
-1
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))
-1
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)
(/ -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)
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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))))
(/ -1/24 N)
(/ (- (* 1/12 N) 1/24) N)
(/ (- (* 1/12 N) 1/24) N)
(/ (- (* 1/12 N) 1/24) N)
1/12
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
1/12
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(pow (log (/ 1 N)) 2)
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(- (+ (* -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)))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
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(+ (* -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))
(pow (log N) 3)
(pow (log N) 3)
(pow (log N) 3)
(pow (log N) 3)
(* -1 (pow (log (/ 1 N)) 3))
(* -1 (pow (log (/ 1 N)) 3))
(* -1 (pow (log (/ 1 N)) 3))
(* -1 (pow (log (/ 1 N)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)

Outputs
(/ 1/24 (pow N 2))
(/.f64 #s(literal 1/24 binary64) (*.f64 N N))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N #s(literal -1/12 binary64))) (.f64 N N))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)))) (*.f64 N N))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
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N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
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N
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(.f64 (.f64 N N) (+.f64 #s(literal 24 binary64) (.f64 N (+.f64 #s(literal 48 binary64) (.f64 N #s(literal -192 binary64))))))
(* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))
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(/ -1/24 (pow N 3))
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(/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) #s(literal 2 binary64)))) (/.f64 (.f64 (.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 binary64) (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) (/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64))) (pow.f64 (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) #s(literal 2 binary64))))) (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))))) (-.f64 #s(literal 0 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) (/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64))) (pow.f64 (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) #s(literal 2 binary64))))) N)) (/.f64 (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)) (.f64 #s(literal -2 binary64) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 (*.f64 N #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)))))
(* -1 (log (/ 1 N)))
(log.f64 N)
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(+.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 N)) (/.f64 #s(literal -1/2 binary64) (*.f64 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 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/2 binary64) (*.f64 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 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N) (log.f64 (/.f64 #s(literal -1 binary64) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) N))
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ (- (* 1/12 N) 1/24) N)
(/.f64 (+.f64 (*.f64 N #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) N)
(/ (- (* 1/12 N) 1/24) N)
(/.f64 (+.f64 (*.f64 N #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) N)
(/ (- (* 1/12 N) 1/24) N)
(/.f64 (+.f64 (*.f64 N #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) N)
1/12
#s(literal 1/12 binary64)
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
1/12
#s(literal 1/12 binary64)
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* -1 N)))
(.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (.f64 N #s(literal 11/12 binary64)) #s(literal -1 binary64)))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 11/12 binary64) (*.f64 N #s(literal -5/6 binary64)))) #s(literal -1 binary64)))))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal -2 binary64))) N))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(+.f64 (/.f64 (neg.f64 (.f64 (log.f64 N) #s(literal -2 binary64))) N) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(- (+ (* -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)))
(+.f64 (/.f64 (neg.f64 (.f64 (log.f64 N) #s(literal -2 binary64))) N) (+.f64 (+.f64 (+.f64 (/.f64 (neg.f64 (.f64 (log.f64 N) #s(literal -2/3 binary64))) (.f64 N (.f64 N N))) (/.f64 #s(literal 1 binary64) (.f64 N N))) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 N (.f64 N N)))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N))
(+ (* -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))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N))
(+ (* -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))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (+.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))))) N)) N)) N))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))

eval237.0ms (1.5%)

Compiler: Compiled 54224 to 3831 computations (92.9% saved)

prune516.0ms (3.3%)

Pruning

70 alts after pruning (62 fresh and 8 done)

	Pruned	Kept	Total
New	1245	25	1270
Fresh	17	37	54
Picked	3	2	5
Done	3	6	9
Total	1268	70	1338

Accuracy

99.9%

Counts

1338 → 70

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(fma.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)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	24.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N)))
	25.6%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 N #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 N #s(literal 1 binary64))))))))
✓	25.0%	(fma.f64 (.f64 (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (log1p.f64 N)) (log1p.f64 N) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 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)))))
	25.3%	(fma.f64 (.f64 (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (log1p.f64 N)) (log1p.f64 N) (/.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) #s(literal 3 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)))))
	23.3%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	23.4%	(fma.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (neg.f64 (/.f64 (.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)))))
	25.6%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
	25.6%	(/.f64 (fma.f64 (log.f64 N) (log.f64 N) (-.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)))))
	96.5%	(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
	23.5%	(/.f64 (-.f64 (pow.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 #s(literal 1 binary64) N)))))) #s(literal 3 binary64)) (pow.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 #s(literal 1 binary64) N)))))) #s(literal 3 binary64))) (+.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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))) (+.f64 (.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 #s(literal 1 binary64) N)))))) (/.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 #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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))))))
	23.5%	(/.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 #s(literal 1 binary64) N))))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))))
	24.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 3/2 binary64))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
	21.8%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
✓	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
	23.4%	(/.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 N #s(literal 1 binary64)))))
	23.5%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
	91.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N))) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
	95.0%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
	23.3%	(/.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)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (exp.f64 (.f64 (log.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))))
	24.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (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))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
	23.3%	(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))
	23.5%	(/.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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))) (.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 #s(literal 1 binary64) N)))))) (/.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 #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 #s(literal 1 binary64) N)))))) (/.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 #s(literal 1 binary64) N))))))))
	95.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
✓	92.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	92.0%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	96.3%	(/.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)
	96.6%	(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) N)
	23.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	96.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
	96.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) N))
	96.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (.f64 N (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))))
	96.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))))
	95.0%	(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))))
	96.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) N)))
	96.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1/2 binary64))))) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) N)))
	96.6%	(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (.f64 (-.f64 #s(literal 0 binary64) N) N)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
	95.4%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
	96.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 #s(literal 0 binary64) N)))
	92.9%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
✓	84.5%	(/.f64 #s(literal 1 binary64) N)
	26.5%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	23.5%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.1%	(+.f64 (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 #s(literal 1 binary64) N)))))) (neg.f64 (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N)))) (fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 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)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 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))))))
	25.5%	(+.f64 (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 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N))))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))))
	24.5%	(+.f64 (fma.f64 (.f64 (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (log1p.f64 N)) (log1p.f64 N) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 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))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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))))))) (log.f64 N) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 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)))))) (log.f64 N))))
	23.3%	(+.f64 (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N)))) (fma.f64 (neg.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 N) (.f64 (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 N))))
	25.6%	(+.f64 (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	96.1%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
	91.8%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
	23.6%	(.f64 (/.f64 #s(literal 1 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)))))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
	96.2%	(*.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)))
	26.5%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
	26.5%	(neg.f64 (/.f64 (+.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log1p.f64 N))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	26.5%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	26.5%	(neg.f64 (/.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	23.5%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (neg.f64 (.f64 (log.f64 N) #s(literal -2 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1/2 binary64) (.f64 N N))))))
✓	26.5%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	26.5%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (exp.f64 (.f64 (log.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))))
	26.5%	(neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	26.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))
	26.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))
	23.2%	(neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N (.f64 N N))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) (.f64 (.f64 N (.f64 N N)) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N (.f64 N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))
	26.5%	(neg.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))
	25.7%	(neg.f64 (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))))))
	26.5%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	25.8%	(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
	25.9%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
	24.4%	(exp.f64 (.f64 (log.f64 (neg.f64 (/.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))) #s(literal -1 binary64)))
✓	3.3%	#s(literal 0 binary64)

Compiler

Compiled 6940 to 1719 computations (75.2% saved)

regimes92.0ms (0.6%)

Counts

114 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+.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 -1/4 binary64) (*.f64 N 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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) N)
(+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (+.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 (.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 1 binary64) (+.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) N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))) N))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (.f64 (-.f64 #s(literal 0 binary64) N) N)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) N))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1/2 binary64))))) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) 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)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (.f64 N N))))) N)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N))) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 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 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))) (/.f64 #s(literal 1 binary64) 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 #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 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))))) N)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))))
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(+.f64 (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 #s(literal 1 binary64) N)))))) (neg.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.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 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))))))

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)

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

Calls

2 calls:

46.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
32.0ms	N

Results

Accuracy	Segments	Branch
99.5%	2	`N`
99.5%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes46.0ms (0.3%)

Counts

68 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+.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 -1/4 binary64) (*.f64 N 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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) N)
(+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (+.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 (.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 1 binary64) (+.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) N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))) N))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (.f64 (-.f64 #s(literal 0 binary64) N) N)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) N))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1/2 binary64))))) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) 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)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (.f64 N N))))) N)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N))) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 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 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))) (/.f64 #s(literal 1 binary64) 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 #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 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))))) N)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (.f64 N (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(/.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)))
(neg.f64 (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 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.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 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(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)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
(neg.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (neg.f64 (.f64 (log.f64 N) #s(literal -2 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1/2 binary64) (.f64 N N))))))
(neg.f64 (/.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (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 N (+.f64 N #s(literal 1 binary64)))))
(/.f64 (-.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)))))

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)

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

Calls

2 calls:

19.0ms	N
14.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.5%	2	`N`
99.5%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes39.0ms (0.2%)

Counts

60 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+.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 -1/4 binary64) (*.f64 N 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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) N)
(+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (+.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 (.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 1 binary64) (+.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) N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))) N))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (.f64 (-.f64 #s(literal 0 binary64) N) N)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) N))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1/2 binary64))))) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) 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)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (.f64 N N))))) N)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N))) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 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 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))) (/.f64 #s(literal 1 binary64) 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 #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 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))))) N)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (.f64 N (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(/.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)))
(neg.f64 (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 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.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 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(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)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
(neg.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) 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)

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

Calls

2 calls:

17.0ms	N
12.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.5%	2	`N`
99.5%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes40.0ms (0.3%)

Counts

54 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+.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 -1/4 binary64) (*.f64 N 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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) N)
(+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (+.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 (.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 1 binary64) (+.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) N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))) N))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (.f64 (-.f64 #s(literal 0 binary64) N) N)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) N))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1/2 binary64))))) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) 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)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (.f64 N N))))) N)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N))) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 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 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))) (/.f64 #s(literal 1 binary64) 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 #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 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))))) N)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (.f64 N (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(/.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)))
(neg.f64 (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 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.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 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(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)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))

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)

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

Calls

2 calls:

16.0ms	N
11.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.5%	2	`N`
99.5%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes20.0ms (0.1%)

Counts

45 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+.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 -1/4 binary64) (*.f64 N 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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) N)
(+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (+.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 (.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 1 binary64) (+.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) N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))) N))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (.f64 (-.f64 #s(literal 0 binary64) N) N)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) N))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1/2 binary64))))) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) 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)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (.f64 N N))))) N)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N))) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 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 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))) (/.f64 #s(literal 1 binary64) 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 #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 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))))) N)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (.f64 N (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))

Outputs

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.1%)

Counts

43 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+.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 -1/4 binary64) (*.f64 N 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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) N)
(+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (+.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 (.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 1 binary64) (+.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) N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))) N))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (.f64 (-.f64 #s(literal 0 binary64) N) N)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) N))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1/2 binary64))))) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) 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)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (.f64 N N))))) N)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N))) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 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 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))) (/.f64 #s(literal 1 binary64) 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 #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 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))))) N)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (.f64 N (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))

Outputs

(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N))))) (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
96.6%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

Counts

39 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+.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 -1/4 binary64) (*.f64 N 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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) N)
(+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (+.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 (.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 1 binary64) (+.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) N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))) N))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (.f64 (-.f64 #s(literal 0 binary64) N) N)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) N))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1/2 binary64))))) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) 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)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (.f64 N N))))) N)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N))) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 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 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))) (/.f64 #s(literal 1 binary64) 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 #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 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 N N)))))) N)

Outputs

(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
96.6%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

25 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+.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 -1/4 binary64) (*.f64 N 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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) N)
(+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (+.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 (.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 1 binary64) (+.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) N))

Outputs

(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) N)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
96.6%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+.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 -1/4 binary64) (*.f64 N 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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))

Outputs
(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
96.5%	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 (+.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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+.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 -1/4 binary64) (*.f64 N 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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
96.5%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes28.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+.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 -1/4 binary64) (*.f64 N 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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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:

27.0ms

Results

Accuracy	Segments	Branch
96.3%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+.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 -1/4 binary64) (*.f64 N 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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.4%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+.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 -1/4 binary64) (*.f64 N 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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))

Outputs
(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.4%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

11 → 1

Calls

Call 1

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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:

3.0ms

Results

Accuracy	Segments	Branch
95.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
92.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
92.3%	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 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
92.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.5%	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	0.0003080003183768554	0.0008585019898408319

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0003080003183768554	0.0008585019898408319

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0003080003183768554	0.0008585019898408319

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0003080003183768554	0.0008585019898408319

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1164.3197362994576	3246.2499162722715

Results

6.0ms

80×

valid

Compiler

Compiled 137 to 104 computations (24.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-log: 3.0ms (82.6% 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)

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

678×	`distribute-lft-neg-in_binary64`
416×	`distribute-neg-in_binary64`
412×	`neg-mul-1_binary64`
370×	`neg-sub0_binary64`
288×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	122	451
1	206	450
2	298	447
3	406	445
4	507	444
5	633	444
6	839	444
7	1187	444
8	1618	444
9	1992	444
10	2251	444
11	2351	444
12	2363	444
13	2363	444

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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) (exp.f64 (.f64 (log.f64 (neg.f64 (/.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))) #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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) (neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 N #s(literal 1750 binary64)) (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) N)
(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 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 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 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 (+.f64 N #s(literal -1/2 binary64)) (*.f64 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 1152921504606847/2305843009213693952 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) (exp.f64 (.f64 (log.f64 (neg.f64 (/.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))) #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (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 1152921504606847/2305843009213693952 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) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (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 1152921504606847/2305843009213693952 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) (neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) (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 1152921504606847/2305843009213693952 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) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 1750 binary64)) (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 N (-.f64 (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal 1/2 binary64))) (.f64 N N))) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) N)
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N)
(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 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 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal -1 binary64) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N))))
(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 0 binary64)

soundness3.5s (22.2%)

Rules

5858×	`-lowering-.f32`
5858×	`-lowering-.f64`
4384×	`+-lowering-+.f64`
4384×	`+-lowering-+.f32`
4366×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
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
0	85	307
1	270	255
2	723	246
3	2038	243
4	6670	243
0	8302	243
0	43	177
1	291	162
2	2663	160
0	8432	160
0	823	8786
1	3085	7670
0	8410	7670
0	889	9371
1	3290	7910
0	8617	7910
0	42	193
1	274	179
2	2308	179
0	9454	179
0	1203	16407
1	4461	14209
0	8237	14209
0	43	354
1	312	260
2	3029	259
0	8173	259
0	6	9
1	39	9
2	291	9
3	2813	9
0	8195	9

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
1×	iter limit
1×	saturated

Compiler

Compiled 902 to 439 computations (51.3% saved)

preprocess93.0ms (0.6%)

Compiler: Compiled 924 to 250 computations (72.9% saved)

Iter	Nodes	Cost
0	6	10
1	12	10
2	16	10
3	23	10
4	33	10
5	65	10
6	123	10
7	210	10
8	295	10
9	401	10
10	479	10
11	485	10
0	485	10

Iter	Nodes	Cost
0	6	10
1	12	10
2	16	10
3	23	10
4	33	10
5	65	10
6	123	10
7	210	10
8	295	10
9	401	10
10	479	10
11	485	10
0	485	10

analyze0.0ms (0%)

sample2.0s (12.4%)

preprocess44.0ms (0.3%)

explain167.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.1%)

localize226.0ms (1.4%)

series54.0ms (0.3%)

rewrite334.0ms (2.1%)

simplify185.0ms (1.2%)

eval41.0ms (0.3%)

prune69.0ms (0.4%)

simplify183.0ms (1.2%)

localize1.4s (8.7%)

series292.0ms (1.9%)

rewrite330.0ms (2.1%)

simplify412.0ms (2.6%)

eval353.0ms (2.2%)

prune307.0ms (1.9%)

simplify236.0ms (1.5%)

localize1.1s (7.2%)

series38.0ms (0.2%)

rewrite321.0ms (2%)

simplify364.0ms (2.3%)

eval120.0ms (0.8%)

prune192.0ms (1.2%)

simplify156.0ms (1%)

localize1.2s (7.9%)

series36.0ms (0.2%)

rewrite380.0ms (2.4%)

simplify399.0ms (2.5%)

eval237.0ms (1.5%)

prune516.0ms (3.3%)

regimes92.0ms (0.6%)

regimes46.0ms (0.3%)

regimes39.0ms (0.2%)

regimes40.0ms (0.3%)

regimes20.0ms (0.1%)

regimes17.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0%)

regimes28.0ms (0.2%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch10.0ms (0.1%)

simplify82.0ms (0.5%)

soundness3.5s (22.2%)

preprocess93.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	10
1	12	10
2	16	10
3	23	10
4	33	10
5	65	10
6	123	10
7	210	10
8	295	10
9	401	10
10	479	10
11	485	10
0	485	10