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)

sample3.2s (10%)

Results

2.4s	7082×	1	valid
162.0ms	1174×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-log: 941.0ms (48.9% of total)

ival-sub: 241.0ms (12.5% of total)

backward-pass: 212.0ms (11% of total)

ival-add: 203.0ms (10.6% of total)

ival->: 171.0ms (8.9% of total)

ival-<: 76.0ms (4% of total)

ival-and: 49.0ms (2.5% of total)

const: 30.0ms (1.6% of total)

Bogosity

preprocess93.0ms (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)))

explain251.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
251	-	3	(20.295903831728722)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`(log.f64 N)`
0	-	0	-	`N`

Results

170.0ms	444×	1	valid
10.0ms	68×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

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

ival-log: 62.0ms (57.5% of total)

ival-add: 15.0ms (13.9% of total)

backward-pass: 15.0ms (13.9% of total)

ival-sub: 14.0ms (13% of total)

const: 2.0ms (1.9% of total)

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.4%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify36.0ms (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)

localize300.0ms (0.9%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	98.8%	(-.f64 (log1p.f64 N) (log.f64 N))

Results

264.0ms	231×	5	exit
4.0ms	25×	0	valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-log: 129.0ms (59.4% of total)

backward-pass: 34.0ms (15.7% of total)

compiled-spec: 31.0ms (14.3% of total)

ival-sub: 16.0ms (7.4% of total)

ival-add: 6.0ms (2.8% of total)

const: 1.0ms (0.5% of total)

series171.0ms (0.5%)

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
96.0ms	N	@	0	(log N)
56.0ms	N	@	-inf	(log N)
13.0ms	N	@	inf	(log N)
1.0ms	N	@	-inf	(- (log (+ 1 N)) (log N))
1.0ms	N	@	inf	(- (log (+ 1 N)) (log N))

rewrite775.0ms (2.4%)

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	288	9
3	2798	9
0	8100	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 N) (.f64 (+.f64 N #s(literal -1 binary64)) (+.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 N) (.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64))))))
(+.f64 (log.f64 (/.f64 (-.f64 #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))

simplify545.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	307
1	270	257
2	722	252
3	2038	250
4	6672	249
0	8322	249

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

eval97.0ms (0.3%)

Compiler: Compiled 10808 to 871 computations (91.9% saved)

prune190.0ms (0.6%)

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

99.6%

Counts

278 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #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))))))))
	25.6%	(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))))))))
	25.0%	(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))))))
	25.2%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #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))))))))
	21.4%	(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 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	23.2%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
▶	23.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	23.2%	(/.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)))))
	23.2%	(/.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)))))
▶	96.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
	95.5%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	93.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
	23.3%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal 1 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))))
	26.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
▶	84.9%	(/.f64 #s(literal 1 binary64) N)
	23.2%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	23.4%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.0%	(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #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)))))))
	24.9%	(+.f64 (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 (/.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))))
	24.0%	(+.f64 (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 (+.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)))))))
	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 (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))))
	23.3%	(+.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 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)))))))
▶	23.4%	(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.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 (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) (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)))))
	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 #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)))))
	23.3%	(+.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))))
	25.1%	(+.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)))))
	24.7%	(+.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)))))
	27.0%	(.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))))))
▶	27.0%	(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)))))
	27.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	26.3%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	26.3%	(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 3324 to 1032 computations (69% saved)

simplify528.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.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)))
✓	cost-diff	6464	(fma.f64 (/.f64 (pow.f64 (log1p.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 (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) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
✓	cost-diff	46016	(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))))
✓	cost-diff	52608	(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.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 (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) (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)))))
✓	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 (+.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)))))
✓	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	13504	(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)))))
✓	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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)

Rules

2948×	`-lowering-.f32`
2948×	`-lowering-.f64`
2110×	`+-lowering-+.f64`
2110×	`+-lowering-+.f32`
1426×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	607
1	143	567
2	450	464
3	1748	458
4	4542	458
5	7845	458
0	8056	458

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize3.2s (9.9%)

Localize:

Found 17 expressions of interest:

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

Results

2.7s

256×

exit

Compiler

Compiled 578 to 49 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-log: 474.0ms (25.6% of total)

backward-pass: 410.0ms (22.2% of total)

ival-add: 233.0ms (12.6% of total)

ival-pow: 224.0ms (12.1% of total)

ival-div: 157.0ms (8.5% of total)

ival-mult: 142.0ms (7.7% of total)

compiled-spec: 124.0ms (6.7% of total)

ival-neg: 41.0ms (2.2% of total)

ival-sub: 21.0ms (1.1% of total)

...c/correct-round.rkt:119:19: 15.0ms (0.8% of total)

const: 7.0ms (0.4% of total)

series434.0ms (1.4%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N)>
#<alt (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))>
#<alt (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)>
#<alt (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))>
#<alt (/ 1 N)>
#<alt (/ (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))) (log (* N (+ 1 N))))>
#<alt (neg (/ (* (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 (/ (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))) (+ (pow (log (+ 1 N)) 3) (pow (log N) 3))))>
#<alt (- (pow (log (+ 1 N)) 6) (pow (log N) 6))>
#<alt (pow (log (+ 1 N)) 6)>
#<alt (log (+ 1 N))>
#<alt (+ (+ (* (/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 3) (pow (log N) 3))) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (/ N (+ 1 N)))))) (neg (* (/ 1 (log (* N (+ 1 N)))) (pow (log N) 2)))) (+ (* (neg (/ 1 (log (* N (+ 1 N))))) (pow (log N) 2)) (* (/ 1 (log (* N (+ 1 N)))) (pow (log N) 2))))>
#<alt (+ (* (neg (/ 1 (log (* N (+ 1 N))))) (pow (log N) 2)) (* (/ 1 (log (* N (+ 1 N)))) (pow (log N) 2)))>
#<alt (+ (* (/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 3) (pow (log N) 3))) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (/ N (+ 1 N)))))) (neg (* (/ 1 (log (* N (+ 1 N)))) (pow (log N) 2))))>
#<alt (* (/ 1 (log (* N (+ 1 N)))) (pow (log N) 2))>
#<alt (+ (/ 1/4 N) -1/3)>
#<alt (/ 1/4 N)>
#<alt (log (/ N (+ 1 N)))>
#<alt (* N (+ 1 N))>
#<alt (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 (* -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 (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 (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (+ (* -1 (/ (+ (* (pow (log N) 3) (- (* 1/3 (log N)) 1)) (pow (log N) 2)) (pow (log N) 4))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))>
#<alt (/ 1 N)>
#<alt (/ (- (+ 1 (* -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 (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* N (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) N)>
#<alt (/ (- (+ 1 (+ (* -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) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* -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 (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))) (+ (* -1/2 (/ (* (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (- (* -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)) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 2) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))))) (+ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (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) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* N (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))))) N)>
#<alt (/ (- (+ 1 (+ (* -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) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* -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 (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* -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) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))))) (+ (* -1/2 (/ (* (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))))) (+ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (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))))) (- (* -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)) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 3) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (* (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (- (* -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 (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (* (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (- (* -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)) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))))) (+ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (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 (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))) (* (pow N 3) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (* (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (- (* -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)) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 2) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))))) (+ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (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) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* N (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (- (+ (* -2/3 (log (/ 1 N))) (* -1/3 (log (/ 1 N)))) 1))) (+ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 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))) (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))))))) (* (pow N 3) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))))) N)>
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(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 (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (- (* 1/2 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (log -1) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (* 1/4 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))) N)) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (log -1) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))) (* 1/4 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* 1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))>
#<alt (* -1/2 (log (/ 1 N)))>
#<alt (- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))>
#<alt (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))>
#<alt (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (/ 1/4 N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<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 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 (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

66 calls:

Time	Variable		Point	Expression
241.0ms	N	@	-inf	(+ (* (neg (/ 1 (log (* N (+ 1 N))))) (pow (log N) 2)) (* (/ 1 (log (* N (+ 1 N)))) (pow (log N) 2)))
34.0ms	N	@	-inf	(/ (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))) (+ (pow (log (+ 1 N)) 3) (pow (log N) 3))))
22.0ms	N	@	inf	(/ (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))) (+ (pow (log (+ 1 N)) 3) (pow (log N) 3))))
21.0ms	N	@	-inf	(+ (+ (* (/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 3) (pow (log N) 3))) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (/ N (+ 1 N)))))) (neg (* (/ 1 (log (* N (+ 1 N)))) (pow (log N) 2)))) (+ (* (neg (/ 1 (log (* N (+ 1 N))))) (pow (log N) 2)) (* (/ 1 (log (* N (+ 1 N)))) (pow (log N) 2))))
16.0ms	N	@	inf	(+ (* (/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 3) (pow (log N) 3))) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (/ N (+ 1 N)))))) (neg (* (/ 1 (log (* N (+ 1 N)))) (pow (log N) 2))))

rewrite842.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2514×	`-lowering-.f32`
2514×	`-lowering-.f64`
1624×	`/-lowering-/.f32`
1624×	`/-lowering-/.f64`
1554×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	319
1	369	254
2	3780	253
0	8216	253

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 557

Calls

Call 1

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

simplify1.0s (3.2%)

Algorithm

1×	egg-herbie

Rules

4146×	`-lowering-.f32`
4146×	`-lowering-.f64`
3488×	`+-lowering-+.f64`
3488×	`+-lowering-+.f32`
1936×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1145	16165
1	4387	14651
0	8288	14651

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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))
(* -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))
(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))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(* -2 (log (/ -1 N)))
(+ (* -2 (log (/ -1 N))) (/ 1 N))
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (+ (* -1 (/ (+ (* (pow (log N) 3) (- (* 1/3 (log N)) 1)) (pow (log N) 2)) (pow (log N) 4))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(/ 1 N)
(/ (- (+ 1 (* -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 (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* N (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) N)
(/ (- (+ 1 (+ (* -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) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* -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 (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))) (+ (* -1/2 (/ (* (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (- (* -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)) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 2) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))))) (+ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (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) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* N (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))))) N)
(/ (- (+ 1 (+ (* -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) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* -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 (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* -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) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))))) (+ (* -1/2 (/ (* (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))))) (+ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (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))))) (- (* -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)) (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) 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N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (- (* 1/2 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (log -1) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (* 1/4 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (* 1/2 (/ (* (+ (* -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))))))) (- (* 1/2 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (log -1) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (* 1/4 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))))) N)) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))) (* 1/2 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (log -1) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (log (/ -1 N))))))) (+ (* (+ 1 (* -1 (+ (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))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))))) (+ (* 1/4 (/ (+ (* -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 (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (- (* 1/2 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (log -1) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (* 1/4 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))) N)) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (log -1) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))) (* 1/4 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* 1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))
(* -1/2 (log (/ 1 N)))
(- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))
(- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))
(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(/ 1/4 N)
(/ 1/4 N)
(/ 1/4 N)
(/ 1/4 N)
(/ 1/4 N)
(/ 1/4 N)
(/ 1/4 N)
(/ 1/4 N)
(/ 1/4 N)
(/ 1/4 N)
(/ 1/4 N)
(/ 1/4 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))
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(log N)
(log N)
(log N)
(log N)
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))

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

eval683.0ms (2.1%)

Compiler: Compiled 94139 to 4612 computations (95.1% saved)

prune589.0ms (1.8%)

Pruning

66 alts after pruning (62 fresh and 4 done)

	Pruned	Kept	Total
New	1401	42	1443
Fresh	6	20	26
Picked	2	3	5
Done	0	1	1
Total	1409	66	1475

Accuracy

99.8%

Counts

1475 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #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))))))))
	25.6%	(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))))))))
	25.0%	(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))))))
▶	25.2%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #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))))))))
	96.5%	(/.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)
	96.5%	(/.f64 (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (log.f64 N) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (.f64 N N)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) N)) (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -4/3 binary64)) (+.f64 (+.f64 (.f64 (log.f64 N) (+.f64 #s(literal 11/12 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 N))))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal -1 binary64)))) (.f64 N (.f64 N N))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (log.f64 N) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (.f64 N (.f64 N N)))) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 N N)))) (/.f64 (pow.f64 (+.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 N (.f64 N N)))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) N)))))) N) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	96.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64))))) N)
	96.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))))) N)
	96.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))))))) N)
	23.2%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	23.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (.f64 N (-.f64 N #s(literal 1 binary64))))) #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)))))
	22.0%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (/.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 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
✓	23.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	23.2%	(/.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)))))
	96.7%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
	96.7%	(/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))) N)
	95.4%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
	23.2%	(/.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)))))
	23.4%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (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 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))))
	23.8%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 6 binary64) (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	96.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
	95.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	93.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	96.2%	(/.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)))
✓	96.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
	96.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) N)
	96.7%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) N)
	23.3%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal 1 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))))
▶	96.7%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
	26.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
✓	84.9%	(/.f64 #s(literal 1 binary64) N)
	27.0%	(/.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))))))
	23.3%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))))
	23.2%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	23.4%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.0%	(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #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)))))))
	24.9%	(+.f64 (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 (/.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))))
	25.4%	(+.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 (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))))
	23.3%	(+.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 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)))))))
	23.7%	(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.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 (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) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	24.2%	(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.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 (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) (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 (exp.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64))) #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)))))
	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 #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)))))
	23.3%	(+.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))))
	25.1%	(+.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)))))
	25.0%	(+.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (log1p.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 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 (pow.f64 (log1p.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 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (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)))))
	25.1%	(+.f64 (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 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 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (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)))))
	96.6%	(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
	27.0%	(.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 N (+.f64 #s(literal 1 binary64) N)))))
	96.5%	(neg.f64 (/.f64 (/.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) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 N N)) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (/.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) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	96.7%	(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))
	27.0%	(neg.f64 (/.f64 (.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 2 binary64)) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	27.0%	(neg.f64 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.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)))))
	27.0%	(neg.f64 (/.f64 (.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)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	27.0%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (.f64 N (-.f64 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)))))
	24.6%	(neg.f64 (/.f64 (.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (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)))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	27.0%	(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)))))
▶	27.0%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 N (.f64 N N)) (pow.f64 (.f64 N N) #s(literal 3 binary64))) (+.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)))))
	27.0%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (log.f64 (+.f64 (.f64 N (.f64 N N)) (pow.f64 (.f64 N N) #s(literal 3 binary64)))) (log.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (*.f64 N N))))))))
	24.6%	(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 (.f64 (-.f64 #s(literal 0 binary64) (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))))))
	27.0%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (log1p.f64 N) (log.f64 N))))
	27.0%	(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 (*.f64 N N) N))))
	27.0%	(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)))))))
	27.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
▶	26.3%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	26.3%	(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 6389 to 2382 computations (62.7% saved)

simplify468.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))
✓	cost-diff	19328	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #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))))))))
✓	cost-diff	7104	(/.f64 (+.f64 (.f64 N (.f64 N N)) (pow.f64 (.f64 N N) #s(literal 3 binary64))) (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (*.f64 N N)))))
✓	cost-diff	7104	(log.f64 (/.f64 (+.f64 (.f64 N (.f64 N N)) (pow.f64 (.f64 N N) #s(literal 3 binary64))) (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (*.f64 N N))))))
✓	cost-diff	7104	(.f64 (log.f64 (/.f64 (+.f64 (.f64 N (.f64 N N)) (pow.f64 (.f64 N N) #s(literal 3 binary64))) (+.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))))
✓	cost-diff	7104	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 N (.f64 N N)) (pow.f64 (.f64 N N) #s(literal 3 binary64))) (+.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))))
✓	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 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
✓	cost-diff	0	(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) 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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))

Rules

1708×	`sum3-define`
1624×	`-lowering-.f32`
1624×	`-lowering-.f64`
1520×	`fma-lowering-fma.f32`
1520×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	485
1	116	444
2	275	430
3	706	423
4	1742	398
5	4775	398
0	8044	398

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize1.8s (5.6%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) 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 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #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))))))))
✓	accuracy	99.9%	(/.f64 (+.f64 (.f64 N (.f64 N N)) (pow.f64 (.f64 N N) #s(literal 3 binary64))) (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (*.f64 N N)))))
✓	accuracy	99.9%	(.f64 (.f64 N N) (*.f64 N N))
✓	accuracy	99.9%	(pow.f64 (*.f64 N N) #s(literal 3 binary64))
✓	accuracy	99.3%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) N)
✓	accuracy	99.1%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
✓	accuracy	100.0%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
✓	accuracy	99.9%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))

Results

1.5s	231×	5	exit
35.0ms	25×	0	valid

Compiler

Compiled 538 to 48 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 809.0ms

backward-pass: 292.0ms (36.1% of total)

ival-log: 107.0ms (13.2% of total)

ival-div: 105.0ms (13% of total)

ival-pow: 86.0ms (10.6% of total)

ival-mult: 67.0ms (8.3% of total)

ival-add: 57.0ms (7% of total)

compiled-spec: 51.0ms (6.3% of total)

...c/correct-round.rkt:119:19: 14.0ms (1.7% of total)

ival-neg: 13.0ms (1.6% of total)

ival-sub: 12.0ms (1.5% of total)

const: 5.0ms (0.6% of total)

series197.0ms (0.6%)

Counts

22 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
44.0ms	N	@	-inf	(/ (pow (log (+ 1 N)) 3/2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))
38.0ms	N	@	-inf	(+ (* (pow (log (+ 1 N)) 3/2) (/ (pow (log (+ 1 N)) 3/2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))) (neg (/ (pow (log N) 3) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))))
29.0ms	N	@	inf	(+ (* (pow (log (+ 1 N)) 3/2) (/ (pow (log (+ 1 N)) 3/2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))) (neg (/ (pow (log N) 3) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))))
16.0ms	N	@	inf	(/ (pow (log (+ 1 N)) 3/2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))
5.0ms	N	@	-inf	(pow (log (+ 1 N)) 3/2)

rewrite778.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2608×	`-lowering-.f32`
2608×	`-lowering-.f64`
2170×	`fma-lowering-fma.f32`
2170×	`fma-lowering-fma.f64`
1922×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	241
1	311	164
2	2832	163
0	8208	163

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 581

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) 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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (/.f64 #s(literal 1 binary64) N))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) 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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) 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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) 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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) (-.f64 #s(literal 0 binary64) N))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))))) (.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64))))))
(/.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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
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(/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 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 -1 binary64) (neg.f64 (/.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 (log1p.f64 N) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 3/2 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 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)))) (neg.f64 (-.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 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) #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))))
(pow.f64 (/.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 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.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 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))))
(.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 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 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 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 (/.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)))) (pow.f64 (log1p.f64 N) #s(literal 3/2 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)))) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 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 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 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 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) (-.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (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 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64) #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (*.f64 N N))) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (.f64 N N))) #s(literal -1/27 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (.f64 N N))) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (.f64 N N))) #s(literal -1/27 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 N N))) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (*.f64 N N))) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (.f64 N N))) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N)))))
(.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 N (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) N))) (-.f64 #s(literal 0 binary64) N))
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (.f64 N N))) #s(literal -1/27 binary64)) (.f64 N (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal -1/9 binary64)) (.f64 N (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) #s(literal 1 binary64)) N)
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (.f64 N N))) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))) N))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) N)))) (neg.f64 (-.f64 #s(literal 0 binary64) N)))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (.f64 N N))) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
(pow.f64 (/.f64 N (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 N (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) N))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 N (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (.f64 N N))) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N)))))
(.f64 (pow.f64 (/.f64 N (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 (log.f64 N) (-.f64 #s(literal 0 binary64) (log1p.f64 N)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) N)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log.f64 N))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N)))) (log.f64 (-.f64 #s(literal 0 binary64) N)))
(+.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))) (log1p.f64 (*.f64 N (-.f64 N #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) N)))
(-.f64 (log.f64 N) (log1p.f64 N))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) N)) (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N))))
(-.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (-.f64 #s(literal 0 binary64) (log.f64 N)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) N))) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N)))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.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 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 N)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 N)) #s(literal 3/2 binary64)))
(pow.f64 N #s(literal 6 binary64))
(pow.f64 (*.f64 N N) #s(literal 3 binary64))
(pow.f64 (.f64 N (.f64 N N)) #s(literal 2 binary64))
(pow.f64 (.f64 N (.f64 N (*.f64 N N))) #s(literal 3/2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 N)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))
(.f64 N (.f64 (.f64 N N) (.f64 N (*.f64 N N))))
(.f64 N (.f64 N (.f64 N (.f64 N (*.f64 N N)))))
(.f64 (.f64 N N) (.f64 N (.f64 N (*.f64 N N))))
(.f64 (.f64 N (.f64 N N)) (.f64 N (*.f64 N N)))
(.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) #s(literal 1 binary64))
(.f64 (.f64 N (.f64 N (.f64 N N))) (*.f64 N N))
(*.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 9/2 binary64)))
(*.f64 (pow.f64 N #s(literal 9/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)))
(.f64 (.f64 (.f64 N N) (.f64 N (*.f64 N N))) N)
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 4 binary64)))
(pow.f64 N #s(literal 4 binary64))
(pow.f64 (*.f64 N N) #s(literal 2 binary64))
(pow.f64 (.f64 N (.f64 N (*.f64 N N))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N))))
(.f64 N (.f64 N (*.f64 N N)))
(.f64 (.f64 N N) (*.f64 N N))
(.f64 (.f64 N (*.f64 N N)) N)
(.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #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 (.f64 (log.f64 (log.f64 N)) #s(literal 3/2 binary64)) (.f64 (log.f64 (log.f64 N)) #s(literal 3/2 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 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 N)))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 N))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) #s(literal 1 binary64)))
(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))

simplify935.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4392×	`-lowering-.f32`
4392×	`-lowering-.f64`
2794×	`+-lowering-+.f64`
2794×	`+-lowering-+.f32`
2006×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1099	13413
1	4085	12175
0	8228	12175

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

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 #s(literal 1 binary64) (-.f64 (/.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 #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))
(* -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 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) 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 (neg.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) 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 #s(literal 1 binary64) (-.f64 (/.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 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
(* -1 (log N))
(-.f64 #s(literal 0 binary64) (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(-.f64 (.f64 N (+.f64 (.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64))) (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (*.f64 N #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (log.f64 N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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 #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 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
1
#s(literal 1 binary64)
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
1
#s(literal 1 binary64)
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
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#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))) #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 #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)) (.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.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))) #s(literal -3 binary64)))) N))
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N)
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(/ 1/4 (pow N 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 N #s(literal -1/3 binary64))) (.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 N #s(literal -1/3 binary64))) (.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 N #s(literal -1/3 binary64))) (.f64 N N))
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ -1/3 N)
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(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) 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 (/.f64 #s(literal 1/2 binary64) N) #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 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N)))) #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 #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 N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 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))
(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))
(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 (*.f64 (-.f64 #s(literal 0 binary64) (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 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) N) (/.f64 #s(literal 1 binary64) (.f64 N N))) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 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 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) N) (-.f64 (+.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) (.f64 N (.f64 N N))) (/.f64 #s(literal 1 binary64) (.f64 N N))) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 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 #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 (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 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.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))

eval455.0ms (1.4%)

Compiler: Compiled 53504 to 4050 computations (92.4% saved)

prune464.0ms (1.5%)

Pruning

62 alts after pruning (55 fresh and 7 done)

	Pruned	Kept	Total
New	1080	18	1098
Fresh	20	37	57
Picked	2	3	5
Done	0	4	4
Total	1102	62	1164

Accuracy

99.8%

Counts

1164 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.6%	(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))))))))
	25.0%	(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))))))
✓	25.2%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #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 (log.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 3/2 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 (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)))))
	24.6%	(fma.f64 (/.f64 (-.f64 #s(literal 0 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 (.f64 N (+.f64 #s(literal 1 binary64) N))) (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 (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)))))
	24.2%	(fma.f64 (exp.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (log1p.f64 N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #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))))))))
	96.5%	(/.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)
	96.5%	(/.f64 (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (log.f64 N) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (.f64 N N)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) N)) (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -4/3 binary64)) (+.f64 (+.f64 (.f64 (log.f64 N) (+.f64 #s(literal 11/12 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 N))))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal -1 binary64)))) (.f64 N (.f64 N N))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (log.f64 N) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (.f64 N (.f64 N N)))) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 N N)))) (/.f64 (pow.f64 (+.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 N (.f64 N N)))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) N)))))) N) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	96.6%	(/.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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
	23.2%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	23.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (.f64 N (-.f64 N #s(literal 1 binary64))))) #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)))))
	22.0%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (/.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 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
✓	23.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	23.2%	(/.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))))
	96.7%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
	95.4%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
	23.2%	(/.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)))))
	23.4%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (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 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))))
	23.8%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 6 binary64) (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	95.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
▶	93.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	96.2%	(/.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)))
✓	96.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
	96.7%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) N)
	23.3%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal 1 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))))
	96.7%	(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))))
	95.5%	(/.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))))
	26.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
▶	97.1%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (neg.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) N)))
	97.1%	(/.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)))))
	95.9%	(/.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)))))
	93.6%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
✓	84.9%	(/.f64 #s(literal 1 binary64) N)
✓	23.4%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.9%	(+.f64 (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 (/.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))))
	25.4%	(+.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 (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))))
	23.3%	(+.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 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)))))))
	23.7%	(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.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 (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) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	24.2%	(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.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 (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) (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 (exp.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64))) #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)))))
	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 #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)))))
	23.3%	(+.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))))
	25.1%	(+.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)))))
	25.0%	(+.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (log1p.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 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 (pow.f64 (log1p.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 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (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)))))
	96.6%	(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
	27.0%	(.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 N (+.f64 #s(literal 1 binary64) N)))))
	27.0%	(neg.f64 (/.f64 (.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)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	25.1%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 N N) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (.f64 N (.f64 N N)))))))) (log.f64 (.f64 (+.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64))))) (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (-.f64 (.f64 (.f64 N N) (.f64 N (.f64 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)))))
	25.1%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (.f64 (+.f64 (.f64 N (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 N N) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (.f64 N (.f64 N N))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64)))))))) (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (-.f64 (.f64 (.f64 N N) (.f64 N (.f64 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)))))
▶	27.0%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (.f64 N (-.f64 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)))))
	27.0%	(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)))))
	25.8%	(neg.f64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64)))) (.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 (.f64 N (-.f64 N #s(literal 1 binary64))) (.f64 N (-.f64 N #s(literal 1 binary64))))))))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64)))) (.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	27.0%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N N))) (+.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)))))
	27.0%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 N (.f64 N N)) (exp.f64 (.f64 (log.f64 N) #s(literal 6 binary64)))) (+.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)))))
	27.0%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (+.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (-.f64 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)))))
	27.0%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 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)))))
	27.0%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (log1p.f64 N) (log.f64 N))))
	27.0%	(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 (*.f64 N N) N))))
	27.0%	(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)))))))
▶	27.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	26.3%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	26.3%	(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 5919 to 2170 computations (63.3% saved)

simplify465.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (pow.f64 (log.f64 N) #s(literal 3/2 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)))))
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	0	(pow.f64 (log.f64 N) #s(literal 3/2 binary64))
✓	cost-diff	19392	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 3/2 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 (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)))))
✓	cost-diff	0	(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (.f64 N (-.f64 N #s(literal 1 binary64)))))
✓	cost-diff	0	(.f64 (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (*.f64 N (-.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (.f64 N (-.f64 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))))
✓	cost-diff	64	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (.f64 N (-.f64 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)))))
✓	cost-diff	-64	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	0	(+.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 #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	64	(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) N)
✓	cost-diff	64	(+.f64 (/.f64 (neg.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))
✓	cost-diff	448	(*.f64 (+.f64 (/.f64 (neg.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) N))
✓	cost-diff	448	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (neg.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) N)))

Rules

2242×	`-lowering-.f32`
2242×	`-lowering-.f64`
1920×	`+-lowering-+.f64`
1920×	`+-lowering-+.f32`
1484×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	465
1	123	450
2	284	422
3	816	411
4	2752	405
0	8358	405

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize2.2s (6.8%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.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))))
✓	accuracy	99.9%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	99.9%	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
✓	accuracy	99.0%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 3/2 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 (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)))))
✓	accuracy	100.0%	(.f64 (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (*.f64 N (-.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N))) N)
✓	accuracy	99.9%	(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (.f64 N (-.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.3%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	100.0%	(/.f64 N (+.f64 #s(literal 1 binary64) N))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(neg.f64 (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 #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 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))
✓	accuracy	100.0%	(*.f64 (+.f64 (/.f64 (neg.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) N))
✓	accuracy	100.0%	(/.f64 #s(literal 1/24 binary64) N)
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)

Results

1.9s	231×	5	exit
38.0ms	25×	0	valid

Compiler

Compiled 490 to 53 computations (89.2% saved)

Precisions

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

backward-pass: 365.0ms (34.7% of total)

ival-div: 109.0ms (10.4% of total)

ival-pow: 99.0ms (9.4% of total)

ival-log: 95.0ms (9% of total)

ival-neg: 94.0ms (8.9% of total)

ival-mult: 88.0ms (8.4% of total)

compiled-spec: 76.0ms (7.2% of total)

ival-sub: 46.0ms (4.4% of total)

ival-add: 46.0ms (4.4% of total)

...c/correct-round.rkt:119:19: 27.0ms (2.6% of total)

const: 6.0ms (0.6% of total)

series153.0ms (0.5%)

Counts

26 → 312

Calls

Call 1

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

Outputs
#<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 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 (* 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 (/ -1/24 (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 (/ -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 (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 N>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* N (+ 1 (* N (- N 1))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))>
#<alt 1>
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#<alt (- (+ (* -2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 2 (/ (log (/ 1 N)) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ 1 N) (/ 1 (* (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)))) (+ (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (- 1 (* -1 (/ (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- 1 (* -1 (/ (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (+ (* -2 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (+ (* 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 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- 1 (* -1 (/ (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))))))>
#<alt (/ (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 (/ (- (+ (* -2 (/ (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)))) (* -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))))) (/ (* (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))))>
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#<alt (+ (* -1 (/ (- (+ (* -2 (/ (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)))) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -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 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1/3 (/ (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)))) (+ (/ (log -1) (+ (* -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)))))) (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -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))))))) (- (+ (* -2 (/ (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)))) (* -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))))) (/ (* (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)))) (+ (* -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)) (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (+ (* -1/2 (/ (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)))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -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)))))) (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -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))))))) (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) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (+ (* -2 (/ (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)))) (* -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))))) (/ (* (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)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (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)) (+ (* -1/2 (/ (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)))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -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)))))) (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -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))))))) (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) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (+ (* -2 (/ (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)))) (* -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))))) (/ (* (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)))) (+ (* -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)))))) (/ (* (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

78 calls:

Time	Variable		Point	Expression
8.0ms	N	@	inf	(neg (/ (* (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (- N 1))))) (log (/ N (+ 1 N)))) (log (* N (+ 1 N)))))
6.0ms	N	@	-inf	(neg (/ (* (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (- N 1))))) (log (/ N (+ 1 N)))) (log (* N (+ 1 N)))))
5.0ms	N	@	inf	(/ (pow (log N) 3/2) (- 0 (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))))
5.0ms	N	@	-inf	(/ (pow (log N) 3/2) (- 0 (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))))
5.0ms	N	@	-inf	(+ (* (pow (log N) 3/2) (/ (pow (log N) 3/2) (- 0 (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))))) (/ (pow (log (+ 1 N)) 3) (+ (pow (log (+ 1 N)) 2) (* (log (* N (+ 1 N))) (log N)))))

rewrite822.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2952×	`-lowering-.f32`
2952×	`-lowering-.f64`
2650×	`fma-lowering-fma.f32`
2650×	`fma-lowering-fma.f64`
1958×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	301
1	350	249
2	3326	245
0	8444	245

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 577

Calls

Call 1

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

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

simplify981.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3878×	`-lowering-.f32`
3878×	`-lowering-.f64`
2966×	`+-lowering-+.f64`
2966×	`+-lowering-+.f32`
1826×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1070	11377
1	4001	10371
0	8233	10371

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* 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 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 (* 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)
(/ -1/24 (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))
(/ -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)
(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))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
1
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
1
(- 1 (/ 1 N))
(+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* -1 (log N))
(- N (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))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(* -1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* N (log (/ 1 N)))))
(/ (- (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* N (pow (log (/ 1 N)) 2)))) (+ (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (* N (log (/ 1 N))))) (* 1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (log (/ 1 N)))))) N)
(/ (- (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* N (pow (log (/ 1 N)) 2)))) (* 1/8 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (+ 1 (* -1/3 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (* N (log (/ 1 N))))) (* 1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (log (/ 1 N))))))) N)
(/ (- (+ (* -1/2 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/8 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* N (pow (log (/ 1 N)) 2)))) (+ (* -1/12 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/8 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/4 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1 (* -1/3 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/4 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 11/12) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (* N (log (/ 1 N))))) (* 1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (log (/ 1 N)))))))) N)
(* -1/2 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (* N (log (/ -1 N)))))
(* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N))))) N)) (* -1/2 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (log (/ -1 N))))) N))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) (* -1/2 (/ (- (* 1/3 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N))))) N)) (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N))))) N)) (* -1/2 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (log (/ -1 N))))) N))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/12 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/3 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N)))) (+ (* -1/8 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))))) (* -1/2 (/ (- (* 1/4 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 11/12) (log (/ -1 N))))) N)) (+ (* -1/8 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (* -1/2 (/ (- (* 1/3 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N))))) N)) (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N))))) N)) (* -1/2 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (log (/ -1 N))))) N))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(* 1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* N (log (/ 1 N)))))
(/ (- (+ (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (* N (log (/ 1 N))))) (* 1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (log (/ 1 N))))) (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* N (pow (log (/ 1 N)) 2))))) N)
(/ (- (+ (* -1/2 (/ (+ 1 (* -1/3 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (* N (log (/ 1 N))))) (* 1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (log (/ 1 N)))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* N (pow (log (/ 1 N)) 2)))) (* 1/8 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* (pow N 2) (pow (log (/ 1 N)) 2))))))) N)
(/ (- (+ (* -1/2 (/ (+ 1 (* -1/3 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/4 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 11/12) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (* N (log (/ 1 N))))) (* 1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/8 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* N (pow (log (/ 1 N)) 2)))) (+ (* -1/12 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/8 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/4 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))))))))) N)
(* 1/2 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (* N (log (/ -1 N)))))
(* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (log (/ -1 N))))) N))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/3 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N)))) (+ (* -1/8 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N))))) (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (log (/ -1 N))))) N))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/4 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 11/12) (log (/ -1 N)))) (+ (* -1/12 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/3 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N)))) (+ (* -1/8 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* -1/2 (/ (- (* 1/3 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N))))) (+ (* -1/8 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (- (* 1/2 (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) 1) (log (/ -1 N))))) (* -1/4 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))) (log (/ -1 N))))) N))
(pow (log N) 2)
(+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))
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(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 2 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (+.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.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 2 binary64)))) (/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (+.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.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 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 #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 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.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 2 binary64))) #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 2 binary64)) (+.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.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 2 binary64)))) #s(literal -3 binary64)) (/.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 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 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.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 2 binary64))) #s(literal 2 binary64))))) (+.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.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 2 binary64)))))) (+.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.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 2 binary64)))))) N)) (+.f64 (/.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 2 binary64)) (+.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.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 2 binary64)))) #s(literal -3 binary64)) (/.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 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 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.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 2 binary64))) #s(literal 2 binary64))))) (+.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.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 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 #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 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.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 2 binary64))) #s(literal 2 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 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.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 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 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.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 2 binary64))) #s(literal 2 binary64)))) N))

eval473.0ms (1.5%)

Compiler: Compiled 47356 to 4179 computations (91.2% saved)

prune655.0ms (2%)

Pruning

72 alts after pruning (62 fresh and 10 done)

	Pruned	Kept	Total
New	1163	21	1184
Fresh	9	41	50
Picked	2	3	5
Done	0	7	7
Total	1174	72	1246

Accuracy

99.8%

Counts

1246 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.6%	(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)))))
	25.0%	(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))))))
✓	25.2%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #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))))))))
	25.2%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (.f64 (pow.f64 (log.f64 N) #s(literal 3/2 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 (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)))))
	25.1%	(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (-.f64 #s(literal 0 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)))) (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 (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)))))
	24.6%	(fma.f64 (/.f64 (-.f64 #s(literal 0 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 (.f64 N (+.f64 #s(literal 1 binary64) N))) (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 (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)))))
	24.2%	(fma.f64 (exp.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (log1p.f64 N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #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))))))))
	96.5%	(/.f64 (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (log.f64 N) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (.f64 N N)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) N)) (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -4/3 binary64)) (+.f64 (+.f64 (.f64 (log.f64 N) (+.f64 #s(literal 11/12 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 N))))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal -1 binary64)))) (.f64 N (.f64 N N))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (log.f64 N) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (.f64 N (.f64 N N)))) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 N N)))) (/.f64 (pow.f64 (+.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 N (.f64 N N)))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) N)))))) N) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	97.0%	(/.f64 (/.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) #s(literal -1 binary64)))
	23.2%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	23.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (.f64 N (-.f64 N #s(literal 1 binary64))))) #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)))))
	22.0%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (/.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 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
✓	23.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	23.2%	(/.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))))
	96.7%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
	95.4%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) N)
	23.2%	(/.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)))))
	23.4%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (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 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))))
	23.8%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 6 binary64) (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	95.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
✓	93.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	25.0%	(/.f64 (-.f64 #s(literal 0 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))))
	92.9%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	96.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
	23.3%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal 1 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))))
	96.9%	(/.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)))
	97.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N 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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal -1 binary64))) (.f64 (*.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)))))
	96.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N (.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)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (.f64 (.f64 N 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 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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))))
	97.0%	(/.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))
	95.5%	(/.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))))
	26.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	97.0%	(/.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 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 #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)))
	97.0%	(/.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)))
	97.0%	(/.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)) N) (/.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)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) 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 #s(literal 0 binary64) N)))
	95.9%	(/.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)))
	97.1%	(/.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)))))
	93.6%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
	97.1%	(/.f64 #s(literal 1 binary64) (neg.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)) N)))
✓	84.9%	(/.f64 #s(literal 1 binary64) N)
✓	23.4%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.9%	(+.f64 (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 (/.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))))
	25.4%	(+.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 (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))))
	23.3%	(+.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 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)))))))
	23.7%	(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.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 (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) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	24.2%	(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.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 (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) (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 (exp.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64))) #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)))))
	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 #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)))))
	23.3%	(+.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))))
	25.1%	(+.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)))))
	25.0%	(+.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (log1p.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 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 (pow.f64 (log1p.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 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (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)))))
	96.7%	(.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)
	92.8%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
	27.0%	(.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 N (+.f64 #s(literal 1 binary64) N)))))
	97.0%	(neg.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))) N))
	27.0%	(neg.f64 (/.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 N (+.f64 N #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 N (+.f64 N #s(literal -1 binary64))))))) (log.f64 (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.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 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	27.0%	(neg.f64 (/.f64 (.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)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	25.1%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 N N) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (.f64 N (.f64 N N)))))))) (log.f64 (.f64 (+.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64))))) (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (-.f64 (.f64 (.f64 N N) (.f64 N (.f64 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)))))
	25.1%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (.f64 (+.f64 (.f64 N (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 N N) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (.f64 N (.f64 N N))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64)))))))) (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (-.f64 (.f64 (.f64 N N) (.f64 N (.f64 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)))))
✓	27.0%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (.f64 N (-.f64 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)))))
	27.0%	(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)))))
	25.8%	(neg.f64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64)))) (.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 (.f64 N (-.f64 N #s(literal 1 binary64))) (.f64 N (-.f64 N #s(literal 1 binary64))))))))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64)))) (.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	27.0%	(neg.f64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 (.f64 N (+.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 #s(literal -1 binary64)) (.f64 N (.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))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	27.0%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N N))) (+.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)))))
	27.0%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 N (.f64 N N)) (exp.f64 (.f64 (log.f64 N) #s(literal 6 binary64)))) (+.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)))))
	27.0%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 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)))))
	27.0%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (log1p.f64 N) (log.f64 N))))
	27.0%	(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 (*.f64 N N) N))))
	27.0%	(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)))))))
✓	27.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	26.3%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	26.3%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
	92.6%	(exp.f64 (.f64 (log.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)) (-.f64 #s(literal 0 binary64) N))) #s(literal -1 binary64)))
✓	3.3%	#s(literal 0 binary64)

Compiler

Compiled 8640 to 2001 computations (76.8% saved)

regimes131.0ms (0.4%)

Counts

114 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 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 (-.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 0 binary64) (.f64 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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) 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 binary64) N) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
(neg.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))) N))
(/.f64 #s(literal 1 binary64) (neg.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)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))))
(/.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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (/.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) #s(literal -1 binary64)))
(/.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 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (neg.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) N)))
(/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))) N)
(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 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 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 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 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 #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)))
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(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64))))) N)
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(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #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)))))))
(/.f64 (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (log.f64 N) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (.f64 N N)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) N)) (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -4/3 binary64)) (+.f64 (+.f64 (.f64 (log.f64 N) (+.f64 #s(literal 11/12 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 N))))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal -1 binary64)))) (.f64 N (.f64 N N))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (log.f64 N) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (.f64 N (.f64 N N)))) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 N N)))) (/.f64 (pow.f64 (+.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 N (.f64 N N)))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) N)))))) N) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (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 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))))
(+.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 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 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))

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

Calls

2 calls:

43.0ms	N
38.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.4%	2	`N`
99.4%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes76.0ms (0.2%)

Counts

70 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	N
23.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.4%	2	`N`
99.4%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes63.0ms (0.2%)

Counts

59 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

23.0ms	N
19.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.4%	2	`N`
99.4%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes67.0ms (0.2%)

Counts

56 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

25.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
20.0ms	N

Results

Accuracy	Segments	Branch
99.4%	2	`N`
99.4%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes55.0ms (0.2%)

Counts

50 → 2

Calls

Call 1

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

Outputs

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

20.0ms	N
16.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.4%	2	`N`
99.4%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes67.0ms (0.2%)

Counts

49 → 2

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	N
20.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.4%	2	`N`
99.4%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes34.0ms (0.1%)

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes24.0ms (0.1%)

Counts

41 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
97.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0%)

Counts

21 → 1

Calls

Call 1

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

Outputs

(neg.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))) N))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0%)

Counts

20 → 1

Calls

Call 1

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

10.0ms

Results

Accuracy	Segments	Branch
96.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
96.7%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
96.7%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0%)

Counts

13 → 1

Calls

Call 1

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

10.0ms

Results

Accuracy	Segments	Branch
95.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Counts

12 → 1

Calls

Call 1

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

6.0ms

Results

Accuracy	Segments	Branch
95.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Counts

11 → 1

Calls

Call 1

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

6.0ms

Results

Accuracy	Segments	Branch
95.5%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

9 → 1

Calls

Call 1

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

5.0ms

Results

Accuracy	Segments	Branch
95.5%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
93.6%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

4.0ms

Results

Accuracy	Segments	Branch
93.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (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:

3.0ms

Results

Accuracy	Segments	Branch
84.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (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:

2.0ms

Results

Accuracy	Segments	Branch
3.3%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch7.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005526607459982458	0.0006668363163324642

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005526607459982458	0.0006668363163324642

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005526607459982458	0.0006668363163324642

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005526607459982458	0.0006668363163324642

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005526607459982458	0.0006668363163324642

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005526607459982458	0.0006668363163324642

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	556.7350409045096	1499.1184409326574

Results

9.0ms

80×

valid

Compiler

Compiled 147 to 109 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-log: 4.0ms (69.1% of total)

ival-sub: 1.0ms (17.3% of total)

ival-add: 1.0ms (17.3% of total)

const: 0.0ms (0% of total)

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

simplify282.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

808×	`distribute-lft-neg-in_binary64`
522×	`neg-mul-1_binary64`
488×	`neg-sub0_binary64`
402×	`distribute-neg-in_binary64`
360×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	590
1	243	590
2	353	587
3	454	585
4	550	585
5	641	585
6	795	585
7	1163	585
8	1769	585
9	2296	585
10	2662	585
11	2816	585
12	2861	585
13	2870	585
14	2870	585
15	2874	585
16	2874	585

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) (neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 N N) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (.f64 N (.f64 N N)))))))) (log.f64 (.f64 (+.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64))))) (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (-.f64 (.f64 (.f64 N N) (.f64 N (.f64 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))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) (neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (+.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (-.f64 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))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) (neg.f64 (/.f64 (.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)))) (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 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) 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 (*.f64 N N) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) 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 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 N #s(literal 1300 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
(/.f64 #s(literal 1 binary64) (neg.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)) N)))
(neg.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))) 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 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) 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 #s(literal 1 binary64) N)
#s(literal 0 binary64)

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) (neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 N N) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (.f64 N (.f64 N N)))))))) (log.f64 (.f64 (+.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (-.f64 N #s(literal 1 binary64))))) (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (-.f64 (.f64 (.f64 N N) (.f64 N (.f64 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))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N)))) (/.f64 (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 (log.f64 (.f64 (+.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (+.f64 N #s(literal -1 binary64))))) (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (-.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (.f64 N N))))))) (log.f64 (+.f64 (.f64 N (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 N N) (.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))))))))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) (neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (+.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (-.f64 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))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N)))) (/.f64 (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 (.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (+.f64 (.f64 N N) (.f64 (.f64 N N) (.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 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) (neg.f64 (/.f64 (.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)))) (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 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N)))) (/.f64 (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 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 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) 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 (*.f64 N N) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N)))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (+.f64 N (*.f64 N N))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) 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 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N)))) (/.f64 (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (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 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) 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 5534023222112865/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N)))) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 1300 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
(if (<=.f64 N #s(literal 1300 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N)))))
(/.f64 #s(literal 1 binary64) (neg.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)) 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))))
(neg.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))) N))
(/.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 #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 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N)) N)
(/.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 #s(literal -1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) N)
#s(literal 0 binary64)

soundness7.0s (21.8%)

Rules

4392×	`-lowering-.f32`
4392×	`-lowering-.f64`
4146×	`-lowering-.f32`
4146×	`-lowering-.f64`
3878×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	307
1	270	257
2	722	252
3	2038	250
4	6672	249
0	8322	249
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	1070	11377
1	4001	10371
0	8233	10371
0	6	9
1	39	9
2	288	9
3	2798	9
0	8100	9
0	46	241
1	311	164
2	2832	163
0	8208	163
0	50	319
1	369	254
2	3780	253
0	8216	253
0	1099	13413
1	4085	12175
0	8228	12175
0	1145	16165
1	4387	14651
0	8288	14651
0	54	301
1	350	249
2	3326	245
0	8444	245

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×	saturated
1×	iter limit
1×	node limit

Compiler

Compiled 1188 to 549 computations (53.8% saved)

preprocess303.0ms (0.9%)

Compiler: Compiled 1206 to 280 computations (76.8% 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%)

sample3.2s (10%)

preprocess93.0ms (0.3%)

explain251.0ms (0.8%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify36.0ms (0.1%)

localize300.0ms (0.9%)

series171.0ms (0.5%)

rewrite775.0ms (2.4%)

simplify545.0ms (1.7%)

eval97.0ms (0.3%)

prune190.0ms (0.6%)

simplify528.0ms (1.7%)

localize3.2s (9.9%)

series434.0ms (1.4%)

rewrite842.0ms (2.6%)

simplify1.0s (3.2%)

eval683.0ms (2.1%)

prune589.0ms (1.8%)

simplify468.0ms (1.5%)

localize1.8s (5.6%)

series197.0ms (0.6%)

rewrite778.0ms (2.4%)

simplify935.0ms (2.9%)

eval455.0ms (1.4%)

prune464.0ms (1.5%)

simplify465.0ms (1.5%)

localize2.2s (6.8%)

series153.0ms (0.5%)

rewrite822.0ms (2.6%)

simplify981.0ms (3.1%)

eval473.0ms (1.5%)

prune655.0ms (2%)

regimes131.0ms (0.4%)

regimes76.0ms (0.2%)

regimes63.0ms (0.2%)

regimes67.0ms (0.2%)

regimes55.0ms (0.2%)

regimes67.0ms (0.2%)

regimes34.0ms (0.1%)

regimes24.0ms (0.1%)

regimes13.0ms (0%)

regimes14.0ms (0%)

regimes10.0ms (0%)

regimes10.0ms (0%)

regimes12.0ms (0%)

regimes8.0ms (0%)

regimes8.0ms (0%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch7.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch21.0ms (0.1%)

simplify282.0ms (0.9%)

soundness7.0s (21.8%)

preprocess303.0ms (0.9%)

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